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Search, Evaluate, and Read Evidence","\u002Fen\u002Facademic-writing\u002F02-reading-and-literature-matrix","en\u002Facademic-writing\u002F02-reading-and-literature-matrix",{"title":27,"path":28,"stem":29},"3. From Sources to Synthesis and Argument","\u002Fen\u002Facademic-writing\u002F03-arguments-outlines-and-paragraphs","en\u002Facademic-writing\u002F03-arguments-outlines-and-paragraphs",{"title":31,"path":32,"stem":33},"4. Literature Review and a Defensible Gap","\u002Fen\u002Facademic-writing\u002F04-writing-the-literature-review","en\u002Facademic-writing\u002F04-writing-the-literature-review",{"title":35,"path":36,"stem":37},"5. Research Design, Evidence, and Core Sections","\u002Fen\u002Facademic-writing\u002F05-core-sections-and-evidence","en\u002Facademic-writing\u002F05-core-sections-and-evidence",{"title":39,"path":40,"stem":41},"6. Citation, Paraphrasing, Integrity, and AI","\u002Fen\u002Facademic-writing\u002F06-citation-paraphrasing-and-integrity","en\u002Facademic-writing\u002F06-citation-paraphrasing-and-integrity",{"title":43,"path":44,"stem":45},"7. Revision, Review, and Submission","\u002Fen\u002Facademic-writing\u002F07-revision-style-and-submission","en\u002Facademic-writing\u002F07-revision-style-and-submission",{"title":47,"path":48,"stem":49},"8. Research Workbook","\u002Fen\u002Facademic-writing\u002F08-literature-review-checklist-and-template","en\u002Facademic-writing\u002F08-literature-review-checklist-and-template",{"title":51,"path":52,"stem":53},"9. Research Workflow and Tools","\u002Fen\u002Facademic-writing\u002F09-tools-for-academic-writing-and-literature-management","en\u002Facademic-writing\u002F09-tools-for-academic-writing-and-literature-management",{"title":55,"path":56,"stem":57},"10. Worked Project — From Question to Defensible Conclusion","\u002Fen\u002Facademic-writing\u002F10-worked-example-from-block-structure-to-question-chain","en\u002Facademic-writing\u002F10-worked-example-from-block-structure-to-question-chain",{"title":59,"path":60,"stem":61,"children":62,"page":249},"Accounting","\u002Fen\u002Faccounting","en\u002Faccounting",[63,69,87,93,193],{"title":64,"path":65,"stem":66,"children":67},"Accounting — From Evidence to Decisions","\u002Fen\u002Faccounting\u002F00-index","en\u002Faccounting\u002F00-index",[68],{"title":64,"path":65,"stem":66},{"title":70,"path":71,"stem":72,"children":73},"Accounting Appendix","\u002Fen\u002Faccounting\u002Fappendix","en\u002Faccounting\u002Fappendix\u002Findex",[74,75,79,83],{"title":70,"path":71,"stem":72},{"title":76,"path":77,"stem":78},"Worked Examples and Error Diagnosis","\u002Fen\u002Faccounting\u002Fappendix\u002F24-examples-pitfalls","en\u002Faccounting\u002Fappendix\u002F24-examples-pitfalls",{"title":80,"path":81,"stem":82},"Accounting Glossary","\u002Fen\u002Faccounting\u002Fappendix\u002F26-glossary","en\u002Faccounting\u002Fappendix\u002F26-glossary",{"title":84,"path":85,"stem":86},"Reading and Evidence Map","\u002Fen\u002Faccounting\u002Fappendix\u002F27-reading-map","en\u002Faccounting\u002Fappendix\u002F27-reading-map",{"title":88,"path":89,"stem":90,"children":91},"Northstar Record-to-Decision Capstone","\u002Fen\u002Faccounting\u002Fcapstone","en\u002Faccounting\u002Fcapstone\u002Findex",[92],{"title":88,"path":89,"stem":90},{"title":94,"path":95,"stem":96,"children":97},"Financial Accounting","\u002Fen\u002Faccounting\u002Ffinancial-accounting","en\u002Faccounting\u002Ffinancial-accounting\u002Findex",[98,99,117,131,165,179],{"title":94,"path":95,"stem":96},{"title":100,"path":101,"stem":102,"children":103},"1. Foundations","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations","en\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002Findex",[104,105,109,113],{"title":100,"path":101,"stem":102},{"title":106,"path":107,"stem":108},"Objectives and Qualitative Characteristics","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F01-objectives-qualitative-characteristics","en\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F01-objectives-qualitative-characteristics",{"title":110,"path":111,"stem":112},"Equation and Elements","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F02-equation-elements","en\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F02-equation-elements",{"title":114,"path":115,"stem":116},"Accrual Basis, Estimates and Periods","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F03-accounting-bases-principles","en\u002Faccounting\u002Ffinancial-accounting\u002F01-foundations\u002F03-accounting-bases-principles",{"title":118,"path":119,"stem":120,"children":121},"2. Recording Transactions","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions","en\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions\u002Findex",[122,123,127],{"title":118,"path":119,"stem":120},{"title":124,"path":125,"stem":126},"Double-Entry and Debit\u002FCredit","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions\u002F04-double-entry-dr-cr","en\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions\u002F04-double-entry-dr-cr",{"title":128,"path":129,"stem":130},"Accounting Cycle","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions\u002F05-accounting-cycle","en\u002Faccounting\u002Ffinancial-accounting\u002F02-recording-transactions\u002F05-accounting-cycle",{"title":132,"path":133,"stem":134,"children":135},"3. Measurement and Adjustments","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002Findex",[136,137,141,145,149,153,157,161],{"title":132,"path":133,"stem":134},{"title":138,"path":139,"stem":140},"Revenue Recognition","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F07-revenue-recognition","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F07-revenue-recognition",{"title":142,"path":143,"stem":144},"Inventory","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F08-inventory","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F08-inventory",{"title":146,"path":147,"stem":148},"Receivables and Expected Credit Losses","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F09-receivables","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F09-receivables",{"title":150,"path":151,"stem":152},"Property, Plant and Equipment","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F10-ppe","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F10-ppe",{"title":154,"path":155,"stem":156},"Intangible Assets","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F11-intangibles","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F11-intangibles",{"title":158,"path":159,"stem":160},"Leases","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F12-leases","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F12-leases",{"title":162,"path":163,"stem":164},"Current and Deferred Income Tax","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F13-income-tax","en\u002Faccounting\u002Ffinancial-accounting\u002F03-measurement-adjustments\u002F13-income-tax",{"title":166,"path":167,"stem":168,"children":169},"4. Reporting and Cash","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash","en\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash\u002Findex",[170,171,175],{"title":166,"path":167,"stem":168},{"title":172,"path":173,"stem":174},"Linked Financial Statements","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash\u002F06-financial-statements","en\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash\u002F06-financial-statements",{"title":176,"path":177,"stem":178},"Cash, Reconciliation and Internal Control","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash\u002F14-cash-control","en\u002Faccounting\u002Ffinancial-accounting\u002F04-reporting-cash\u002F14-cash-control",{"title":180,"path":181,"stem":182,"children":183},"5. Analysis and Comparison","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison","en\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison\u002Findex",[184,185,189],{"title":180,"path":181,"stem":182},{"title":186,"path":187,"stem":188},"Ratio Analysis","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison\u002F15-ratio-analysis","en\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison\u002F15-ratio-analysis",{"title":190,"path":191,"stem":192},"IFRS versus US GAAP","\u002Fen\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison\u002F25-ifrs-gaap","en\u002Faccounting\u002Ffinancial-accounting\u002F05-analysis-comparison\u002F25-ifrs-gaap",{"title":194,"path":195,"stem":196,"children":197},"Management Accounting","\u002Fen\u002Faccounting\u002Fmanagement-accounting","en\u002Faccounting\u002Fmanagement-accounting\u002Findex",[198,199,217,235],{"title":194,"path":195,"stem":196},{"title":200,"path":201,"stem":202,"children":203},"1. Cost Foundations","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations","en\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002Findex",[204,205,209,213],{"title":200,"path":201,"stem":202},{"title":206,"path":207,"stem":208},"Cost Concepts and Behaviour","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F16-cost-concepts","en\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F16-cost-concepts",{"title":210,"path":211,"stem":212},"Costing Systems","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F17-costing-systems","en\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F17-costing-systems",{"title":214,"path":215,"stem":216},"Variable and Absorption Costing","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F19-variable-vs-absorption","en\u002Faccounting\u002Fmanagement-accounting\u002F01-cost-foundations\u002F19-variable-vs-absorption",{"title":218,"path":219,"stem":220,"children":221},"2. Planning and Control","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control","en\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002Findex",[222,223,227,231],{"title":218,"path":219,"stem":220},{"title":224,"path":225,"stem":226},"Cost–Volume–Profit Analysis","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F18-cvp-analysis","en\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F18-cvp-analysis",{"title":228,"path":229,"stem":230},"Budgeting and Variance Analysis","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F20-budgeting-variances","en\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F20-budgeting-variances",{"title":232,"path":233,"stem":234},"Performance Measurement","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F21-performance-measurement","en\u002Faccounting\u002Fmanagement-accounting\u002F02-planning-control\u002F21-performance-measurement",{"title":236,"path":237,"stem":238,"children":239},"3. Decisions and Investment","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment","en\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment\u002Findex",[240,241,245],{"title":236,"path":237,"stem":238},{"title":242,"path":243,"stem":244},"Short-Term Decisions","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment\u002F22-short-term-decisions","en\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment\u002F22-short-term-decisions",{"title":246,"path":247,"stem":248},"Capital Budgeting","\u002Fen\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment\u002F23-capital-budgeting","en\u002Faccounting\u002Fmanagement-accounting\u002F03-decisions-investment\u002F23-capital-budgeting",false,{"title":251,"path":252,"stem":253,"children":254,"page":249},"Business Analytics","\u002Fen\u002Fbusiness-analytics","en\u002Fbusiness-analytics",[255,261,279,305,335,365,383,400],{"title":256,"path":257,"stem":258,"children":259},"Business Analytics — From Data to Defensible Action","\u002Fen\u002Fbusiness-analytics\u002F00-index","en\u002Fbusiness-analytics\u002F00-index",[260],{"title":256,"path":257,"stem":258},{"title":262,"path":263,"stem":264,"children":265},"0. Decision and Data Foundations","\u002Fen\u002Fbusiness-analytics\u002F00-intro","en\u002Fbusiness-analytics\u002F00-intro\u002Findex",[266,267,271,275],{"title":262,"path":263,"stem":264},{"title":268,"path":269,"stem":270},"Decision Framing","\u002Fen\u002Fbusiness-analytics\u002F00-intro\u002F01-decision-framing","en\u002Fbusiness-analytics\u002F00-intro\u002F01-decision-framing",{"title":272,"path":273,"stem":274},"Data Contracts","\u002Fen\u002Fbusiness-analytics\u002F00-intro\u002F02-data-contracts","en\u002Fbusiness-analytics\u002F00-intro\u002F02-data-contracts",{"title":276,"path":277,"stem":278},"Reproducible Analytics Workflow","\u002Fen\u002Fbusiness-analytics\u002F00-intro\u002F03-reproducible-workflow","en\u002Fbusiness-analytics\u002F00-intro\u002F03-reproducible-workflow",{"title":280,"path":281,"stem":282,"children":283},"1. Descriptive Analytics","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive","en\u002Fbusiness-analytics\u002F01-descriptive\u002Findex",[284,285,289,293,297,301],{"title":280,"path":281,"stem":282},{"title":286,"path":287,"stem":288},"Distributions and Exploratory Data Analysis","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive\u002F04-distributions-eda","en\u002Fbusiness-analytics\u002F01-descriptive\u002F04-distributions-eda",{"title":290,"path":291,"stem":292},"KPIs and Denominators","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive\u002F05-kpis-denominators","en\u002Fbusiness-analytics\u002F01-descriptive\u002F05-kpis-denominators",{"title":294,"path":295,"stem":296},"Segments, Cohorts and Funnels","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive\u002F06-segmentation-cohorts-funnels","en\u002Fbusiness-analytics\u002F01-descriptive\u002F06-segmentation-cohorts-funnels",{"title":298,"path":299,"stem":300},"Visual Evidence and Data Stories","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive\u002F07-visualisation-story","en\u002Fbusiness-analytics\u002F01-descriptive\u002F07-visualisation-story",{"title":302,"path":303,"stem":304},"Experiments and Causal Boundaries","\u002Fen\u002Fbusiness-analytics\u002F01-descriptive\u002F08-experiments-causal-boundary","en\u002Fbusiness-analytics\u002F01-descriptive\u002F08-experiments-causal-boundary",{"title":306,"path":307,"stem":308,"children":309},"2. Predictive Analytics","\u002Fen\u002Fbusiness-analytics\u002F02-predictive","en\u002Fbusiness-analytics\u002F02-predictive\u002Findex",[310,311,315,319,323,327,331],{"title":306,"path":307,"stem":308},{"title":312,"path":313,"stem":314},"Validation, Baselines and Leakage","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F09-validation-leakage","en\u002Fbusiness-analytics\u002F02-predictive\u002F09-validation-leakage",{"title":316,"path":317,"stem":318},"Regression and Forecasting","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F10-regression-forecasting","en\u002Fbusiness-analytics\u002F02-predictive\u002F10-regression-forecasting",{"title":320,"path":321,"stem":322},"Classification and Calibration","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F11-classification-calibration","en\u002Fbusiness-analytics\u002F02-predictive\u002F11-classification-calibration",{"title":324,"path":325,"stem":326},"Trees and Ensembles","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F12-trees-ensembles","en\u002Fbusiness-analytics\u002F02-predictive\u002F12-trees-ensembles",{"title":328,"path":329,"stem":330},"Decision Metrics and Thresholds","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F13-decision-metrics-thresholds","en\u002Fbusiness-analytics\u002F02-predictive\u002F13-decision-metrics-thresholds",{"title":332,"path":333,"stem":334},"Explainability, Monitoring and Drift","\u002Fen\u002Fbusiness-analytics\u002F02-predictive\u002F14-explainability-drift","en\u002Fbusiness-analytics\u002F02-predictive\u002F14-explainability-drift",{"title":336,"path":337,"stem":338,"children":339},"3. Prescriptive Analytics","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive","en\u002Fbusiness-analytics\u002F03-prescriptive\u002Findex",[340,341,345,349,353,357,361],{"title":336,"path":337,"stem":338},{"title":342,"path":343,"stem":344},"Decision-Making under Uncertainty","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F15-decision-uncertainty","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F15-decision-uncertainty",{"title":346,"path":347,"stem":348},"Linear Optimisation","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F16-linear-optimization","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F16-linear-optimization",{"title":350,"path":351,"stem":352},"Inventory and Allocation","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F17-inventory-allocation","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F17-inventory-allocation",{"title":354,"path":355,"stem":356},"Queueing and Simulation","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F18-queueing-simulation","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F18-queueing-simulation",{"title":358,"path":359,"stem":360},"Pricing and Revenue Management","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F19-pricing-experimentation","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F19-pricing-experimentation",{"title":362,"path":363,"stem":364},"Causal Targeting and Policy Learning","\u002Fen\u002Fbusiness-analytics\u002F03-prescriptive\u002F20-causal-targeting","en\u002Fbusiness-analytics\u002F03-prescriptive\u002F20-causal-targeting",{"title":366,"path":367,"stem":368,"children":369},"4. Deployment and Governance","\u002Fen\u002Fbusiness-analytics\u002F04-deployment","en\u002Fbusiness-analytics\u002F04-deployment\u002Findex",[370,371,375,379],{"title":366,"path":367,"stem":368},{"title":372,"path":373,"stem":374},"Data Products and Monitoring","\u002Fen\u002Fbusiness-analytics\u002F04-deployment\u002F21-data-products-monitoring","en\u002Fbusiness-analytics\u002F04-deployment\u002F21-data-products-monitoring",{"title":376,"path":377,"stem":378},"Governance, Fairness and Privacy","\u002Fen\u002Fbusiness-analytics\u002F04-deployment\u002F22-governance-fairness-privacy","en\u002Fbusiness-analytics\u002F04-deployment\u002F22-governance-fairness-privacy",{"title":380,"path":381,"stem":382},"Adoption and Business Value","\u002Fen\u002Fbusiness-analytics\u002F04-deployment\u002F23-adoption-value","en\u002Fbusiness-analytics\u002F04-deployment\u002F23-adoption-value",{"title":384,"path":385,"stem":386,"children":387},"Appendix and Revision Tools","\u002Fen\u002Fbusiness-analytics\u002Fappendix","en\u002Fbusiness-analytics\u002Fappendix\u002Findex",[388,389,393,397],{"title":384,"path":385,"stem":386},{"title":390,"path":391,"stem":392},"Formula and Decision Map","\u002Fen\u002Fbusiness-analytics\u002Fappendix\u002F24-formula-map","en\u002Fbusiness-analytics\u002Fappendix\u002F24-formula-map",{"title":394,"path":395,"stem":396},"Worked Examples and Pitfalls","\u002Fen\u002Fbusiness-analytics\u002Fappendix\u002F25-worked-examples-pitfalls","en\u002Fbusiness-analytics\u002Fappendix\u002F25-worked-examples-pitfalls",{"title":84,"path":398,"stem":399},"\u002Fen\u002Fbusiness-analytics\u002Fappendix\u002F26-reading-map","en\u002Fbusiness-analytics\u002Fappendix\u002F26-reading-map",{"title":401,"path":402,"stem":403,"children":404},"Capstone — The Evening Delivery Promise","\u002Fen\u002Fbusiness-analytics\u002Fcapstone","en\u002Fbusiness-analytics\u002Fcapstone\u002Findex",[405],{"title":401,"path":402,"stem":403},{"title":407,"path":408,"stem":409,"children":410,"page":249},"Financial Economic Time Series","\u002Fen\u002Ffinancial-economic-time-series","en\u002Ffinancial-economic-time-series",[411,417,423,429,435,441,447,453,459,465,471],{"title":412,"path":413,"stem":414,"children":415},"Financial and Economic Time Series — Course Guide","\u002Fen\u002Ffinancial-economic-time-series\u002F00-intro","en\u002Ffinancial-economic-time-series\u002F00-intro\u002Findex",[416],{"title":412,"path":413,"stem":414},{"title":418,"path":419,"stem":420,"children":421},"Three Versions of Time Series","\u002Fen\u002Ffinancial-economic-time-series\u002F01-bridge","en\u002Ffinancial-economic-time-series\u002F01-bridge\u002Findex",[422],{"title":418,"path":419,"stem":420},{"title":424,"path":425,"stem":426,"children":427},"Data, Clocks, and Transformations","\u002Fen\u002Ffinancial-economic-time-series\u002F02-data-transformations","en\u002Ffinancial-economic-time-series\u002F02-data-transformations\u002Findex",[428],{"title":424,"path":425,"stem":426},{"title":430,"path":431,"stem":432,"children":433},"Predictive Regressions and Persistent Predictors","\u002Fen\u002Ffinancial-economic-time-series\u002F03-predictive-regressions","en\u002Ffinancial-economic-time-series\u002F03-predictive-regressions\u002Findex",[434],{"title":430,"path":431,"stem":432},{"title":436,"path":437,"stem":438,"children":439},"Volatility, Tails, and Financial Risk","\u002Fen\u002Ffinancial-economic-time-series\u002F04-volatility-risk","en\u002Ffinancial-economic-time-series\u002F04-volatility-risk\u002Findex",[440],{"title":436,"path":437,"stem":438},{"title":442,"path":443,"stem":444,"children":445},"Unit Roots, Cointegration, and Error Correction","\u002Fen\u002Ffinancial-economic-time-series\u002F05-unit-roots-cointegration","en\u002Ffinancial-economic-time-series\u002F05-unit-roots-cointegration\u002Findex",[446],{"title":442,"path":443,"stem":444},{"title":448,"path":449,"stem":450,"children":451},"VAR, Structural Identification, and Local Projections","\u002Fen\u002Ffinancial-economic-time-series\u002F06-var-identification","en\u002Ffinancial-economic-time-series\u002F06-var-identification\u002Findex",[452],{"title":448,"path":449,"stem":450},{"title":454,"path":455,"stem":456,"children":457},"State Space, Mixed Frequency, and Nowcasting","\u002Fen\u002Ffinancial-economic-time-series\u002F07-state-space-nowcasting","en\u002Ffinancial-economic-time-series\u002F07-state-space-nowcasting\u002Findex",[458],{"title":454,"path":455,"stem":456},{"title":460,"path":461,"stem":462,"children":463},"Forecast Evaluation for Decisions","\u002Fen\u002Ffinancial-economic-time-series\u002F08-forecast-evaluation","en\u002Ffinancial-economic-time-series\u002F08-forecast-evaluation\u002Findex",[464],{"title":460,"path":461,"stem":462},{"title":466,"path":467,"stem":468,"children":469},"Integrated R Laboratory","\u002Fen\u002Ffinancial-economic-time-series\u002F09-r-laboratory","en\u002Ffinancial-economic-time-series\u002F09-r-laboratory\u002Findex",[470],{"title":466,"path":467,"stem":468},{"title":472,"path":473,"stem":474,"children":475},"Capstones, Data, and Reading Ladder","\u002Fen\u002Ffinancial-economic-time-series\u002F10-capstone-readings","en\u002Ffinancial-economic-time-series\u002F10-capstone-readings\u002Findex",[476],{"title":472,"path":473,"stem":474},{"title":478,"path":479,"stem":480,"children":481,"page":249},"Intro To Economics","\u002Fen\u002Fintro-to-economics","en\u002Fintro-to-economics",[482,486,490,494,498,502,506,510,514,518,522,526,530],{"title":483,"path":484,"stem":485},"Introduction to Economics — Decisions, Markets, and the Macroeconomy","\u002Fen\u002Fintro-to-economics\u002F00-intro","en\u002Fintro-to-economics\u002F00-intro",{"title":487,"path":488,"stem":489},"Chapter 1 — Choice, Opportunity Cost, and Trade","\u002Fen\u002Fintro-to-economics\u002F01-foundations","en\u002Fintro-to-economics\u002F01-foundations",{"title":491,"path":492,"stem":493},"Chapter 2 — Demand, Supply, Equilibrium, and Welfare","\u002Fen\u002Fintro-to-economics\u002F02-demand-and-supply","en\u002Fintro-to-economics\u002F02-demand-and-supply",{"title":495,"path":496,"stem":497},"Chapter 3 — Elasticity, Revenue, and Tax Incidence","\u002Fen\u002Fintro-to-economics\u002F03-elasticity","en\u002Fintro-to-economics\u002F03-elasticity",{"title":499,"path":500,"stem":501},"Chapter 4 — Firms, Market Power, and Market Failure","\u002Fen\u002Fintro-to-economics\u002F04-market-structures","en\u002Fintro-to-economics\u002F04-market-structures",{"title":503,"path":504,"stem":505},"Chapter 5 — GDP, Income, Wealth, and Welfare","\u002Fen\u002Fintro-to-economics\u002F05-gdp-and-wealth","en\u002Fintro-to-economics\u002F05-gdp-and-wealth",{"title":507,"path":508,"stem":509},"Chapter 6 — Inflation, Purchasing Power, and Labour Markets","\u002Fen\u002Fintro-to-economics\u002F06-inflation-and-unemployment","en\u002Fintro-to-economics\u002F06-inflation-and-unemployment",{"title":511,"path":512,"stem":513},"Chapter 7 — Productivity, Technology, and Economic Growth","\u002Fen\u002Fintro-to-economics\u002F07-economic-growth","en\u002Fintro-to-economics\u002F07-economic-growth",{"title":515,"path":516,"stem":517},"Chapter 8 — Money, Credit, and Banking","\u002Fen\u002Fintro-to-economics\u002F08-money-and-banking","en\u002Fintro-to-economics\u002F08-money-and-banking",{"title":519,"path":520,"stem":521},"Chapter 9 — Business Cycles, AD–AS, and Monetary Policy","\u002Fen\u002Fintro-to-economics\u002F09-monetary-policy-and-ad-as","en\u002Fintro-to-economics\u002F09-monetary-policy-and-ad-as",{"title":523,"path":524,"stem":525},"Chapter 10 — Fiscal Policy, Distribution, and Public Debt","\u002Fen\u002Fintro-to-economics\u002F10-fiscal-policy","en\u002Fintro-to-economics\u002F10-fiscal-policy",{"title":527,"path":528,"stem":529},"Chapter 11 — Trade, Capital Flows, and Exchange Rates","\u002Fen\u002Fintro-to-economics\u002F11-open-economy-and-exchange-rates","en\u002Fintro-to-economics\u002F11-open-economy-and-exchange-rates",{"title":531,"path":532,"stem":533},"Chapter 12 — Integrated Economic Analysis Studio","\u002Fen\u002Fintro-to-economics\u002F12-review-and-case-studies","en\u002Fintro-to-economics\u002F12-review-and-case-studies",{"title":535,"path":536,"stem":537,"children":538,"page":249},"Microeconometrics","\u002Fen\u002Fmicroeconometrics","en\u002Fmicroeconometrics",[539,557,563,581,603,629,651,673,691,709],{"title":540,"path":541,"stem":542,"children":543},"0. Causal Questions and Designs","\u002Fen\u002Fmicroeconometrics\u002F00-foundations","en\u002Fmicroeconometrics\u002F00-foundations\u002Findex",[544,545,549,553],{"title":540,"path":541,"stem":542},{"title":546,"path":547,"stem":548},"Causal Questions and Estimands","\u002Fen\u002Fmicroeconometrics\u002F00-foundations\u002F01-causal-question-estimands","en\u002Fmicroeconometrics\u002F00-foundations\u002F01-causal-question-estimands",{"title":550,"path":551,"stem":552},"Potential Outcomes and Experiments","\u002Fen\u002Fmicroeconometrics\u002F00-foundations\u002F02-potential-outcomes-experiments","en\u002Fmicroeconometrics\u002F00-foundations\u002F02-potential-outcomes-experiments",{"title":554,"path":555,"stem":556},"Causal Diagrams and Controls","\u002Fen\u002Fmicroeconometrics\u002F00-foundations\u002F03-dags-controls","en\u002Fmicroeconometrics\u002F00-foundations\u002F03-dags-controls",{"title":558,"path":559,"stem":560,"children":561},"Microeconometrics — Designing Credible Counterfactuals","\u002Fen\u002Fmicroeconometrics\u002F00-index","en\u002Fmicroeconometrics\u002F00-index",[562],{"title":558,"path":559,"stem":560},{"title":564,"path":565,"stem":566,"children":567},"1. Regression and Inference","\u002Fen\u002Fmicroeconometrics\u002F01-regression","en\u002Fmicroeconometrics\u002F01-regression\u002Findex",[568,569,573,577],{"title":564,"path":565,"stem":566},{"title":570,"path":571,"stem":572},"OLS as a Projection","\u002Fen\u002Fmicroeconometrics\u002F01-regression\u002F04-ols-projection","en\u002Fmicroeconometrics\u002F01-regression\u002F04-ols-projection",{"title":574,"path":575,"stem":576},"FWL, Selection and Controls","\u002Fen\u002Fmicroeconometrics\u002F01-regression\u002F05-fwl-selection-controls","en\u002Fmicroeconometrics\u002F01-regression\u002F05-fwl-selection-controls",{"title":578,"path":579,"stem":580},"Inference and Clustering","\u002Fen\u002Fmicroeconometrics\u002F01-regression\u002F06-inference-clustering","en\u002Fmicroeconometrics\u002F01-regression\u002F06-inference-clustering",{"title":582,"path":583,"stem":584,"children":585},"2. Instruments and Panel Data","\u002Fen\u002Fmicroeconometrics\u002F02-iv-panel","en\u002Fmicroeconometrics\u002F02-iv-panel\u002Findex",[586,587,591,595,599],{"title":582,"path":583,"stem":584},{"title":588,"path":589,"stem":590},"Instrumental Variables","\u002Fen\u002Fmicroeconometrics\u002F02-iv-panel\u002F07-iv-identification","en\u002Fmicroeconometrics\u002F02-iv-panel\u002F07-iv-identification",{"title":592,"path":593,"stem":594},"Weak Instruments and LATE","\u002Fen\u002Fmicroeconometrics\u002F02-iv-panel\u002F08-weak-iv-late","en\u002Fmicroeconometrics\u002F02-iv-panel\u002F08-weak-iv-late",{"title":596,"path":597,"stem":598},"Panel Fixed Effects","\u002Fen\u002Fmicroeconometrics\u002F02-iv-panel\u002F09-panel-fixed-effects","en\u002Fmicroeconometrics\u002F02-iv-panel\u002F09-panel-fixed-effects",{"title":600,"path":601,"stem":602},"Dynamic Panels and Limits","\u002Fen\u002Fmicroeconometrics\u002F02-iv-panel\u002F10-dynamic-panel","en\u002Fmicroeconometrics\u002F02-iv-panel\u002F10-dynamic-panel",{"title":604,"path":605,"stem":606,"children":607},"3. Policy Evaluation Designs","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs","en\u002Fmicroeconometrics\u002F03-policy-designs\u002Findex",[608,609,613,617,621,625],{"title":604,"path":605,"stem":606},{"title":610,"path":611,"stem":612},"Difference-in-Differences","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs\u002F11-did-core","en\u002Fmicroeconometrics\u002F03-policy-designs\u002F11-did-core",{"title":614,"path":615,"stem":616},"Staggered DID and Event Studies","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs\u002F12-staggered-event-studies","en\u002Fmicroeconometrics\u002F03-policy-designs\u002F12-staggered-event-studies",{"title":618,"path":619,"stem":620},"Regression Discontinuity","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs\u002F13-rdd","en\u002Fmicroeconometrics\u002F03-policy-designs\u002F13-rdd",{"title":622,"path":623,"stem":624},"Matching, Weighting and Overlap","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs\u002F14-matching-weighting","en\u002Fmicroeconometrics\u002F03-policy-designs\u002F14-matching-weighting",{"title":626,"path":627,"stem":628},"Synthetic Control","\u002Fen\u002Fmicroeconometrics\u002F03-policy-designs\u002F15-synthetic-control","en\u002Fmicroeconometrics\u002F03-policy-designs\u002F15-synthetic-control",{"title":630,"path":631,"stem":632,"children":633},"Module 4 — Choice and Limited Outcomes","\u002Fen\u002Fmicroeconometrics\u002F04-outcomes-choice","en\u002Fmicroeconometrics\u002F04-outcomes-choice\u002Findex",[634,635,639,643,647],{"title":630,"path":631,"stem":632},{"title":636,"path":637,"stem":638},"Binary Choice","\u002Fen\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F16-binary-choice","en\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F16-binary-choice",{"title":640,"path":641,"stem":642},"Multinomial and Ordered Choice","\u002Fen\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F17-multinomial-choice","en\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F17-multinomial-choice",{"title":644,"path":645,"stem":646},"Count Outcomes","\u002Fen\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F18-count-outcomes","en\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F18-count-outcomes",{"title":648,"path":649,"stem":650},"Censoring, Truncation and Selection","\u002Fen\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F19-censoring-selection","en\u002Fmicroeconometrics\u002F04-outcomes-choice\u002F19-censoring-selection",{"title":652,"path":653,"stem":654,"children":655},"Module 5 — Modern Causal Analysis","\u002Fen\u002Fmicroeconometrics\u002F05-modern-causal","en\u002Fmicroeconometrics\u002F05-modern-causal\u002Findex",[656,657,661,665,669],{"title":652,"path":653,"stem":654},{"title":658,"path":659,"stem":660},"Double Machine Learning","\u002Fen\u002Fmicroeconometrics\u002F05-modern-causal\u002F20-dml","en\u002Fmicroeconometrics\u002F05-modern-causal\u002F20-dml",{"title":662,"path":663,"stem":664},"Heterogeneity and Policy Learning","\u002Fen\u002Fmicroeconometrics\u002F05-modern-causal\u002F21-heterogeneity-policy","en\u002Fmicroeconometrics\u002F05-modern-causal\u002F21-heterogeneity-policy",{"title":666,"path":667,"stem":668},"Sensitivity and Partial Identification","\u002Fen\u002Fmicroeconometrics\u002F05-modern-causal\u002F22-sensitivity-partial-id","en\u002Fmicroeconometrics\u002F05-modern-causal\u002F22-sensitivity-partial-id",{"title":670,"path":671,"stem":672},"External Validity and Transport","\u002Fen\u002Fmicroeconometrics\u002F05-modern-causal\u002F23-external-validity","en\u002Fmicroeconometrics\u002F05-modern-causal\u002F23-external-validity",{"title":674,"path":675,"stem":676,"children":677},"Module 6 — From Data to Auditable Evidence","\u002Fen\u002Fmicroeconometrics\u002F06-workflow","en\u002Fmicroeconometrics\u002F06-workflow\u002Findex",[678,679,683,687],{"title":674,"path":675,"stem":676},{"title":680,"path":681,"stem":682},"Data Provenance","\u002Fen\u002Fmicroeconometrics\u002F06-workflow\u002F24-data-provenance","en\u002Fmicroeconometrics\u002F06-workflow\u002F24-data-provenance",{"title":684,"path":685,"stem":686},"Reproducibility and Reporting","\u002Fen\u002Fmicroeconometrics\u002F06-workflow\u002F25-reproducibility-reporting","en\u002Fmicroeconometrics\u002F06-workflow\u002F25-reproducibility-reporting",{"title":688,"path":689,"stem":690},"Paper and Evidence Audit","\u002Fen\u002Fmicroeconometrics\u002F06-workflow\u002F26-paper-audit","en\u002Fmicroeconometrics\u002F06-workflow\u002F26-paper-audit",{"title":692,"path":693,"stem":694,"children":695},"Appendix — Revision and Evidence Map","\u002Fen\u002Fmicroeconometrics\u002Fappendix","en\u002Fmicroeconometrics\u002Fappendix\u002Findex",[696,697,701,705],{"title":692,"path":693,"stem":694},{"title":698,"path":699,"stem":700},"Formula and Design Map","\u002Fen\u002Fmicroeconometrics\u002Fappendix\u002F27-formula-design-map","en\u002Fmicroeconometrics\u002Fappendix\u002F27-formula-design-map",{"title":702,"path":703,"stem":704},"Ten Worked Microeconometric Pitfalls","\u002Fen\u002Fmicroeconometrics\u002Fappendix\u002F28-worked-pitfalls","en\u002Fmicroeconometrics\u002Fappendix\u002F28-worked-pitfalls",{"title":706,"path":707,"stem":708},"Reading and Software Map","\u002Fen\u002Fmicroeconometrics\u002Fappendix\u002F29-reading-software-map","en\u002Fmicroeconometrics\u002Fappendix\u002F29-reading-software-map",{"title":710,"path":711,"stem":712,"children":713},"Capstone — Should Northbridge Expand Pathways?","\u002Fen\u002Fmicroeconometrics\u002Fcapstone","en\u002Fmicroeconometrics\u002Fcapstone\u002Findex",[714],{"title":710,"path":711,"stem":712},{"title":716,"path":717,"stem":718,"children":719,"page":249},"Microeconomics","\u002Fen\u002Fmicroeconomics","en\u002Fmicroeconomics",[720,726,732,738,744,750,756,762,768,774,780,786,792],{"title":721,"path":722,"stem":723,"children":724},"Advanced Microeconomics — Course Guide","\u002Fen\u002Fmicroeconomics\u002F00-intro","en\u002Fmicroeconomics\u002F00-intro\u002Findex",[725],{"title":721,"path":722,"stem":723},{"title":727,"path":728,"stem":729,"children":730},"Module 1 — Choice, Duality, and Revealed Preference","\u002Fen\u002Fmicroeconomics\u002F01-fundations","en\u002Fmicroeconomics\u002F01-fundations\u002Findex",[731],{"title":727,"path":728,"stem":729},{"title":733,"path":734,"stem":735,"children":736},"Module 2 — Comparative Statics and Welfare Measurement","\u002Fen\u002Fmicroeconomics\u002F02-comparative-statics","en\u002Fmicroeconomics\u002F02-comparative-statics\u002Findex",[737],{"title":733,"path":734,"stem":735},{"title":739,"path":740,"stem":741,"children":742},"Module 3 — Choice under Risk and Insurance","\u002Fen\u002Fmicroeconomics\u002F03-uncertainty","en\u002Fmicroeconomics\u002F03-uncertainty\u002Findex",[743],{"title":739,"path":740,"stem":741},{"title":745,"path":746,"stem":747,"children":748},"Module 4 — General Equilibrium and Welfare","\u002Fen\u002Fmicroeconomics\u002F04-general-equilibrium","en\u002Fmicroeconomics\u002F04-general-equilibrium\u002Findex",[749],{"title":745,"path":746,"stem":747},{"title":751,"path":752,"stem":753,"children":754},"Module 5 — Static, Dynamic, and Repeated Games","\u002Fen\u002Fmicroeconomics\u002F05-game-theory","en\u002Fmicroeconomics\u002F05-game-theory\u002Findex",[755],{"title":751,"path":752,"stem":753},{"title":757,"path":758,"stem":759,"children":760},"Module 6 — Oligopoly, Entry, and Algorithmic Pricing","\u002Fen\u002Fmicroeconomics\u002F06-oligopoly","en\u002Fmicroeconomics\u002F06-oligopoly\u002Findex",[761],{"title":757,"path":758,"stem":759},{"title":763,"path":764,"stem":765,"children":766},"Module 7 — Information Economics and Contracts","\u002Fen\u002Fmicroeconomics\u002F07-information-economics","en\u002Fmicroeconomics\u002F07-information-economics\u002Findex",[767],{"title":763,"path":764,"stem":765},{"title":769,"path":770,"stem":771,"children":772},"Module 8 — Mechanism Design and Auctions","\u002Fen\u002Fmicroeconomics\u002F08-mechanism-design","en\u002Fmicroeconomics\u002F08-mechanism-design\u002Findex",[773],{"title":769,"path":770,"stem":771},{"title":775,"path":776,"stem":777,"children":778},"Module 9 — Behavioural and Experimental Microeconomics","\u002Fen\u002Fmicroeconomics\u002F09-behavioural-economics","en\u002Fmicroeconomics\u002F09-behavioural-economics\u002Findex",[779],{"title":775,"path":776,"stem":777},{"title":781,"path":782,"stem":783,"children":784},"Module 10 — Externalities, Public Goods, and Collective Action","\u002Fen\u002Fmicroeconomics\u002F10-externalities-public-goods","en\u002Fmicroeconomics\u002F10-externalities-public-goods\u002Findex",[785],{"title":781,"path":782,"stem":783},{"title":787,"path":788,"stem":789,"children":790},"Module 11 — Matching and Market Design","\u002Fen\u002Fmicroeconomics\u002F11-market-design","en\u002Fmicroeconomics\u002F11-market-design\u002Findex",[791],{"title":787,"path":788,"stem":789},{"title":793,"path":794,"stem":795,"children":796},"Module 12 — Integrated Microeconomic Design Studio","\u002Fen\u002Fmicroeconomics\u002F12-review","en\u002Fmicroeconomics\u002F12-review\u002Findex",[797],{"title":793,"path":794,"stem":795},{"title":799,"path":800,"stem":801,"children":802},"Playground","\u002Fen\u002Fplayground","en\u002Fplayground\u002Findex",[803,804,808,812,816,820],{"title":799,"path":800,"stem":801},{"title":805,"path":806,"stem":807},"Typst Plugin Playground","\u002Fen\u002Fplayground\u002F01-typstex","en\u002Fplayground\u002F01-typstex",{"title":809,"path":810,"stem":811},"Citation Plugin Test","\u002Fen\u002Fplayground\u002F02-citation","en\u002Fplayground\u002F02-citation",{"title":813,"path":814,"stem":815},"Pyodide Playground","\u002Fen\u002Fplayground\u002F03-pyodide","en\u002Fplayground\u002F03-pyodide",{"title":817,"path":818,"stem":819},"WebR Playground","\u002Fen\u002Fplayground\u002F04-webr","en\u002Fplayground\u002F04-webr",{"title":821,"path":822,"stem":823},"Chart.js 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文献综述的构建与写作","\u002Fzh\u002Facademic-writing\u002F04-writing-the-literature-review","zh\u002Facademic-writing\u002F04-writing-the-literature-review",{"title":1056,"path":1057,"stem":1058},"8. 文献综述清单与模板","\u002Fzh\u002Facademic-writing\u002F08-literature-review-checklist-and-template","zh\u002Facademic-writing\u002F08-literature-review-checklist-and-template",{"title":1060,"path":1061,"stem":1062},"10. 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策略全流程","\u002Fzh\u002Fquant\u002F09-case-study","zh\u002Fquant\u002F09-case-study",{"title":1779,"path":1780,"stem":1781},"量化投资文献与软件图谱","\u002Fzh\u002Fquant\u002F10-reading-software-map","zh\u002Fquant\u002F10-reading-software-map",{"path":770},{"id":1784,"title":1596,"body":1785,"description":42413,"extension":42414,"features":42415,"hero":42415,"layout":42415,"locale":42415,"meta":42416,"navigation":42415,"path":1597,"published":42417,"seo":42418,"stem":1598,"__hash__":42419},"docs\u002Fzh\u002Fmicroeconomics\u002F08-mechanism-design\u002Findex.md",{"type":1786,"value":1787,"toc":42351},"minimark",[1788,1793,1797,1801,1804,1820,1823,1842,1846,1862,1865,1869,1876,1897,1900,1933,1937,1941,1947,2649,2654,2772,2777,3055,3090,3094,3099,3380,3385,3393,3398,3551,3555,3562,4322,4497,4585,5336,5339,5343,5347,5357,5362,5373,5377,5492,5890,6039,6777,6870,7202,7748,7751,7755,7758,7772,7778,7900,7949,7953,7957,8062,8067,8072,8156,8296,8301,8640,8798,8990,9147,9245,9373,9405,11339,11541,11550,11554,11560,11565,11596,12956,12961,13166,13171,13202,13547,13619,14492,14837,16120,16196,17390,17694,17698,17703,17711,17716,18079,18083,18087,18092,18376,18381,18461,18465,18470,18484,18490,18494,18501,18506,18722,19008,19523,19526,20031,20186,21267,21459,21932,21935,22711,23050,23637,23805,24264,25023,25143,25148,25152,25326,25331,25650,25711,25981,26295,26367,27123,27125,27651,27654,28268,28271,28558,28867,28870,29116,29464,29523,30023,30026,30534,30537,30744,30994,30998,31002,31007,31010,31111,31118,31122,31157,31558,31757,31902,32233,32337,32528,32838,32843,32846,33246,33251,33254,33689,33720,34174,34177,34643,35049,35492,35494,36130,36133,36766,36769,37473,37691,37779,37783,37786,37929,37932,37936,37940,37945,37951,37957,38451,38455,38849,38855,38911,38916,38920,38956,39044,39188,39446,39530,39752,39994,40050,40054,40186,40194,40199,40207,40211,40215,40331,40336,40405,40410,40418,40422,40432,40437,40445,40451,40462,40467,40487,40491,40495,40500,40508,40795,40801,40807,40811,40816,40827,40831,40842,40848,40852,40858,40863,40871,40877,40885,40889,40894,40905,40910,40921,40925,40928,40991,40994,41073,41076,41120,41124,41129,41162,41167,41190,41195,41213,41218,41232,41235,41252,41255,41258,41264,41360,42292,42295,42298,42312,42315,42332,42335,42338,42341],[1789,1790,1792],"h1",{"id":1791},"第-8-讲机制设计与拍卖理论","第 8 讲：机制设计与拍卖理论",[1794,1795,1796],"h2",{"id":1796},"本章导学",[1798,1799,1800],"p",{},"机制设计把微观经济学的问题方向反过来：不是给定规则后预测结果，而是先给定目标，再设计规则让理性参与者愿意走向这个目标。本章是信息经济学和博弈论的交汇点，也是理解拍卖、平台规则、公共项目和市场设计的核心入口。",[1798,1802,1803],{},"学完本章后，你应当能够：",[1805,1806,1807,1811,1814,1817],"ul",{},[1808,1809,1810],"li",{},"写出社会选择函数、直接机制、间接机制和类型空间。",[1808,1812,1813],{},"判断一个机制是否满足激励相容和参与约束。",[1808,1815,1816],{},"用显示原理把复杂机制转化为直接机制来分析。",[1808,1818,1819],{},"推导 Vickrey 拍卖、VCG 支付、收入等价和简单最优拍卖结果。",[1798,1821,1822],{},"常见题目会让你设计或检验一个机制：谁获得物品、谁支付多少钱、是否如实报告、是否愿意参与。答题时不要只说“VCG 激励相容”，要能说明每个参与者支付的是其存在给他人造成的外部性。",[1798,1824,1825,1826,1831,1832,1836,1837,1841],{},"本章从",[1827,1828,1830],"a",{"href":1829},"..\u002F07-information-economics\u002F","第 7 章","的私人信息问题出发，向后连接",[1827,1833,1835],{"href":1834},"..\u002F10-externalities-public-goods\u002F","第 10 章","的公共物品机制和",[1827,1838,1840],{"href":1839},"..\u002F11-market-design\u002F","第 11 章","的实际市场设计。它标志着课程从“解释市场”进入“设计市场”。",[1794,1843,1845],{"id":1844},"经济动机-economic-motivation","经济动机 (Economic Motivation)",[1798,1847,1848,1849,1853,1854,1857,1858,1861],{},"传统的经济学分析通常是给定一个市场制度（如完全竞争），然后分析其结果。",[1850,1851,1852],"strong",{},"机制设计理论 (Mechanism Design Theory)"," 则反其道而行之：它先设定一个我们想要达成的目标（如效率、收益最大化、公平性），然后",[1850,1855,1856],{},"反向设计","一套\"游戏规则\"（即",[1850,1859,1860],{},"机制 mechanism","），来引导理性的参与者通过自身利益最大化的行为来达到这个预设的目标。",[1798,1863,1864],{},"这被誉为**\"经济学的工程学\" (Economic Engineering)**。",[1866,1867,1868],"h3",{"id":1868},"核心问题",[1798,1870,1871,1872,1875],{},"假设社会规划者（政府、拍卖行、平台）需要做出某个决策（如资源分配、公共项目选择），但关键信息（如个人估值、成本）是参与者的",[1850,1873,1874],{},"私人信息","。如何设计一套机制，使得：",[1877,1878,1879,1885,1891],"ol",{},[1808,1880,1881,1884],{},[1850,1882,1883],{},"激励相容 (Incentive Compatibility, IC)","：参与者有动机真实报告私人信息",[1808,1886,1887,1890],{},[1850,1888,1889],{},"达成目标","：实现效率（资源配给最高估值者）或收益最大化",[1808,1892,1893,1896],{},[1850,1894,1895],{},"参与约束 (Participation Constraint, PC)","：参与者愿意参与",[1866,1898,1899],{"id":1899},"历史与影响",[1805,1901,1902,1908,1918,1924],{},[1808,1903,1904,1907],{},[1850,1905,1906],{},"Leonid Hurwicz","（2007年诺贝尔奖）：机制设计理论奠基人",[1808,1909,1910,1913,1914,1917],{},[1850,1911,1912],{},"Roger Myerson"," 和 ",[1850,1915,1916],{},"Eric Maskin","（2007年诺贝尔奖）：最优拍卖和机制设计的一般理论",[1808,1919,1920,1923],{},[1850,1921,1922],{},"William Vickrey","（1996年诺贝尔奖）：二级价格拍卖（Vickrey拍卖）",[1808,1925,1926,1913,1929,1932],{},[1850,1927,1928],{},"Paul Milgrom",[1850,1930,1931],{},"Robert Wilson","（2020年诺贝尔奖）：拍卖理论及其在频谱拍卖中的应用",[1794,1934,1936],{"id":1935},"一机制设计基本框架-basic-framework","一、机制设计基本框架 (Basic Framework)",[1866,1938,1940],{"id":1939},"_11-社会选择问题","1.1 社会选择问题",[1798,1942,1943,1946],{},[1850,1944,1945],{},"环境 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F_i(\\theta_i)",[1952,2317,2319,2374],{"className":2318,"ariaHidden":1982},[1981],[1952,2320,2322,2325,2365,2368,2371],{"className":2321},[1986],[1952,2323],{"className":2324,"style":2154},[1990],[1952,2326,2328,2331],{"className":2327},[1995],[1952,2329,2128],{"className":2330,"style":2161},[1995,1996],[1952,2332,2334],{"className":2333},[2165],[1952,2335,2337,2357],{"className":2336},[2169,2170],[1952,2338,2340,2354],{"className":2339},[2174],[1952,2341,2343],{"className":2342,"style":2179},[2178],[1952,2344,2345,2348],{"style":2182},[1952,2346],{"className":2347,"style":2187},[2186],[1952,2349,2351],{"className":2350},[2191,2192,2193,2194],[1952,2352,2013],{"className":2353},[1995,1996,2194],[1952,2355,2202],{"className":2356},[2201],[1952,2358,2360],{"className":2359},[2174],[1952,2361,2363],{"className":2362,"style":2209},[2178],[1952,2364],{},[1952,2366],{"className":2367,"style":2057},[2056],[1952,2369,2292],{"className":2370},[2061],[1952,2372],{"className":2373,"style":2057},[2056],[1952,2375,2377,2381,2423,2427,2467],{"className":2376},[1986],[1952,2378],{"className":2379,"style":2380},[1990],"height:1em;vertical-align:-0.25em;",[1952,2382,2384,2388],{"className":2383},[1995],[1952,2385,2297],{"className":2386,"style":2387},[1995,1996],"margin-right:0.1389em;",[1952,2389,2391],{"className":2390},[2165],[1952,2392,2394,2415],{"className":2393},[2169,2170],[1952,2395,2397,2412],{"className":2396},[2174],[1952,2398,2400],{"className":2399,"style":2179},[2178],[1952,2401,2403,2406],{"style":2402},"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;",[1952,2404],{"className":2405,"style":2187},[2186],[1952,2407,2409],{"className":2408},[2191,2192,2193,2194],[1952,2410,2013],{"className":2411},[1995,1996,2194],[1952,2413,2202],{"className":2414},[2201],[1952,2416,2418],{"className":2417},[2174],[1952,2419,2421],{"className":2420,"style":2209},[2178],[1952,2422],{},[1952,2424,2303],{"className":2425},[2426],"mopen",[1952,2428,2430,2433],{"className":2429},[1995],[1952,2431,2128],{"className":2432,"style":2161},[1995,1996],[1952,2434,2436],{"className":2435},[2165],[1952,2437,2439,2459],{"className":2438},[2169,2170],[1952,2440,2442,2456],{"className":2441},[2174],[1952,2443,2445],{"className":2444,"style":2179},[2178],[1952,2446,2447,2450],{"style":2182},[1952,2448],{"className":2449,"style":2187},[2186],[1952,2451,2453],{"className":2452},[2191,2192,2193,2194],[1952,2454,2013],{"className":2455},[1995,1996,2194],[1952,2457,2202],{"className":2458},[2201],[1952,2460,2462],{"className":2461},[2174],[1952,2463,2465],{"className":2464,"style":2209},[2178],[1952,2466],{},[1952,2468,2312],{"className":2469},[2470],"mclose",[1808,2472,2473,2474],{},"类型向量：",[1952,2475,2477,2515],{"className":2476},[1955],[1952,2478,2480],{"className":2479},[1959],[1961,2481,2482],{"xmlns":1963},[1965,2483,2484,2512],{},[1968,2485,2486,2488,2490,2492,2498,2500,2502,2504,2510],{},[1971,2487,2128],{},[2015,2489,2017],{},[2015,2491,2303],{"stretchy":2302},[2124,2493,2494,2496],{},[1971,2495,2128],{},[2019,2497,2021],{},[2015,2499,2024],{"separator":1982},[2015,2501,2032],{},[2015,2503,2024],{"separator":1982},[2124,2505,2506,2508],{},[1971,2507,2128],{},[1971,2509,1973],{},[2015,2511,2312],{"stretchy":2302},[1975,2513,2514],{"encoding":1977},"\\theta = (\\theta_1, \\ldots, \\theta_N)",[1952,2516,2518,2537],{"className":2517,"ariaHidden":1982},[1981],[1952,2519,2521,2525,2528,2531,2534],{"className":2520},[1986],[1952,2522],{"className":2523,"style":2524},[1990],"height:0.6944em;",[1952,2526,2128],{"className":2527,"style":2161},[1995,1996],[1952,2529],{"className":2530,"style":2057},[2056],[1952,2532,2017],{"className":2533},[2061],[1952,2535],{"className":2536,"style":2057},[2056],[1952,2538,2540,2543,2546,2587,2590,2593,2596,2599,2602,2605,2646],{"className":2539},[1986],[1952,2541],{"className":2542,"style":2380},[1990],[1952,2544,2303],{"className":2545},[2426],[1952,2547,2549,2552],{"className":2548},[1995],[1952,2550,2128],{"className":2551,"style":2161},[1995,1996],[1952,2553,2555],{"className":2554},[2165],[1952,2556,2558,2579],{"className":2557},[2169,2170],[1952,2559,2561,2576],{"className":2560},[2174],[1952,2562,2565],{"className":2563,"style":2564},[2178],"height:0.3011em;",[1952,2566,2567,2570],{"style":2182},[1952,2568],{"className":2569,"style":2187},[2186],[1952,2571,2573],{"className":2572},[2191,2192,2193,2194],[1952,2574,2021],{"className":2575},[1995,2194],[1952,2577,2202],{"className":2578},[2201],[1952,2580,2582],{"className":2581},[2174],[1952,2583,2585],{"className":2584,"style":2209},[2178],[1952,2586],{},[1952,2588,2024],{"className":2589},[2078],[1952,2591],{"className":2592,"style":2082},[2056],[1952,2594,2032],{"className":2595},[2095],[1952,2597],{"className":2598,"style":2082},[2056],[1952,2600,2024],{"className":2601},[2078],[1952,2603],{"className":2604,"style":2082},[2056],[1952,2606,2608,2611],{"className":2607},[1995],[1952,2609,2128],{"className":2610,"style":2161},[1995,1996],[1952,2612,2614],{"className":2613},[2165],[1952,2615,2617,2638],{"className":2616},[2169,2170],[1952,2618,2620,2635],{"className":2619},[2174],[1952,2621,2624],{"className":2622,"style":2623},[2178],"height:0.3283em;",[1952,2625,2626,2629],{"style":2182},[1952,2627],{"className":2628,"style":2187},[2186],[1952,2630,2632],{"className":2631},[2191,2192,2193,2194],[1952,2633,1973],{"className":2634,"style":1997},[1995,1996,2194],[1952,2636,2202],{"className":2637},[2201],[1952,2639,2641],{"className":2640},[2174],[1952,2642,2644],{"className":2643,"style":2209},[2178],[1952,2645],{},[1952,2647,2312],{"className":2648},[2470],[1798,2650,2651,1946],{},[1850,2652,2653],{},"社会选择 (Social Choice)",[1805,2655,2656,2690],{},[1808,2657,2658,2659,2689],{},"可行结果集合：",[1952,2660,2662,2676],{"className":2661},[1955],[1952,2663,2665],{"className":2664},[1959],[1961,2666,2667],{"xmlns":1963},[1965,2668,2669,2674],{},[1968,2670,2671],{},[1971,2672,2673],{},"X",[1975,2675,2673],{"encoding":1977},[1952,2677,2679],{"className":2678,"ariaHidden":1982},[1981],[1952,2680,2682,2685],{"className":2681},[1986],[1952,2683],{"className":2684,"style":1991},[1990],[1952,2686,2673],{"className":2687,"style":2688},[1995,1996],"margin-right:0.0785em;","（如物品分配、公共项目决策）",[1808,2691,2692,2693,2771],{},"社会选择函数：",[1952,2694,2696,2721],{"className":2695},[1955],[1952,2697,2699],{"className":2698},[1959],[1961,2700,2701],{"xmlns":1963},[1965,2702,2703,2718],{},[1968,2704,2705,2708,2711,2713,2716],{},[1971,2706,2707],{},"f",[2015,2709,2710],{},":",[1971,2712,2139],{"mathvariant":2138},[2015,2714,2715],{},"→",[1971,2717,2673],{},[1975,2719,2720],{"encoding":1977},"f: \\Theta \\to X",[1952,2722,2724,2744,2762],{"className":2723,"ariaHidden":1982},[1981],[1952,2725,2727,2731,2735,2738,2741],{"className":2726},[1986],[1952,2728],{"className":2729,"style":2730},[1990],"height:0.8889em;vertical-align:-0.1944em;",[1952,2732,2707],{"className":2733,"style":2734},[1995,1996],"margin-right:0.1076em;",[1952,2736],{"className":2737,"style":2057},[2056],[1952,2739,2710],{"className":2740},[2061],[1952,2742],{"className":2743,"style":2057},[2056],[1952,2745,2747,2750,2753,2756,2759],{"className":2746},[1986],[1952,2748],{"className":2749,"style":1991},[1990],[1952,2751,2139],{"className":2752},[1995],[1952,2754],{"className":2755,"style":2057},[2056],[1952,2757,2715],{"className":2758},[2061],[1952,2760],{"className":2761,"style":2057},[2056],[1952,2763,2765,2768],{"className":2764},[1986],[1952,2766],{"className":2767,"style":1991},[1990],[1952,2769,2673],{"className":2770,"style":2688},[1995,1996],"，将类型向量映射到结果",[1798,2773,2774,1946],{},[1850,2775,2776],{},"个人效用",[1805,2778,2779,2952],{},[1808,2780,2781,2782,2810,2811],{},"参与者 ",[1952,2783,2785,2798],{"className":2784},[1955],[1952,2786,2788],{"className":2787},[1959],[1961,2789,2790],{"xmlns":1963},[1965,2791,2792,2796],{},[1968,2793,2794],{},[1971,2795,2013],{},[1975,2797,2013],{"encoding":1977},[1952,2799,2801],{"className":2800,"ariaHidden":1982},[1981],[1952,2802,2804,2807],{"className":2803},[1986],[1952,2805],{"className":2806,"style":2049},[1990],[1952,2808,2013],{"className":2809},[1995,1996]," 的效用：",[1952,2812,2814,2848],{"className":2813},[1955],[1952,2815,2817],{"className":2816},[1959],[1961,2818,2819],{"xmlns":1963},[1965,2820,2821,2845],{},[1968,2822,2823,2830,2832,2835,2837,2843],{},[2124,2824,2825,2828],{},[1971,2826,2827],{},"u",[1971,2829,2013],{},[2015,2831,2303],{"stretchy":2302},[1971,2833,2834],{},"x",[2015,2836,2024],{"separator":1982},[2124,2838,2839,2841],{},[1971,2840,2128],{},[1971,2842,2013],{},[2015,2844,2312],{"stretchy":2302},[1975,2846,2847],{"encoding":1977},"u_i(x, \\theta_i)",[1952,2849,2851],{"className":2850,"ariaHidden":1982},[1981],[1952,2852,2854,2857,2897,2900,2903,2906,2909,2949],{"className":2853},[1986],[1952,2855],{"className":2856,"style":2380},[1990],[1952,2858,2860,2863],{"className":2859},[1995],[1952,2861,2827],{"className":2862},[1995,1996],[1952,2864,2866],{"className":2865},[2165],[1952,2867,2869,2889],{"className":2868},[2169,2170],[1952,2870,2872,2886],{"className":2871},[2174],[1952,2873,2875],{"className":2874,"style":2179},[2178],[1952,2876,2877,2880],{"style":2248},[1952,2878],{"className":2879,"style":2187},[2186],[1952,2881,2883],{"className":2882},[2191,2192,2193,2194],[1952,2884,2013],{"className":2885},[1995,1996,2194],[1952,2887,2202],{"className":2888},[2201],[1952,2890,2892],{"className":2891},[2174],[1952,2893,2895],{"className":2894,"style":2209},[2178],[1952,2896],{},[1952,2898,2303],{"className":2899},[2426],[1952,2901,2834],{"className":2902},[1995,1996],[1952,2904,2024],{"className":2905},[2078],[1952,2907],{"className":2908,"style":2082},[2056],[1952,2910,2912,2915],{"className":2911},[1995],[1952,2913,2128],{"className":2914,"style":2161},[1995,1996],[1952,2916,2918],{"className":2917},[2165],[1952,2919,2921,2941],{"className":2920},[2169,2170],[1952,2922,2924,2938],{"className":2923},[2174],[1952,2925,2927],{"className":2926,"style":2179},[2178],[1952,2928,2929,2932],{"style":2182},[1952,2930],{"className":2931,"style":2187},[2186],[1952,2933,2935],{"className":2934},[2191,2192,2193,2194],[1952,2936,2013],{"className":2937},[1995,1996,2194],[1952,2939,2202],{"className":2940},[2201],[1952,2942,2944],{"className":2943},[2174],[1952,2945,2947],{"className":2946,"style":2209},[2178],[1952,2948],{},[1952,2950,2312],{"className":2951},[2470],[1808,2953,2954,2955,2984,2985],{},"取决于结果 ",[1952,2956,2958,2971],{"className":2957},[1955],[1952,2959,2961],{"className":2960},[1959],[1961,2962,2963],{"xmlns":1963},[1965,2964,2965,2969],{},[1968,2966,2967],{},[1971,2968,2834],{},[1975,2970,2834],{"encoding":1977},[1952,2972,2974],{"className":2973,"ariaHidden":1982},[1981],[1952,2975,2977,2981],{"className":2976},[1986],[1952,2978],{"className":2979,"style":2980},[1990],"height:0.4306em;",[1952,2982,2834],{"className":2983},[1995,1996]," 和自己的类型 ",[1952,2986,2988,3006],{"className":2987},[1955],[1952,2989,2991],{"className":2990},[1959],[1961,2992,2993],{"xmlns":1963},[1965,2994,2995,3003],{},[1968,2996,2997],{},[2124,2998,2999,3001],{},[1971,3000,2128],{},[1971,3002,2013],{},[1975,3004,3005],{"encoding":1977},"\\theta_i",[1952,3007,3009],{"className":3008,"ariaHidden":1982},[1981],[1952,3010,3012,3015],{"className":3011},[1986],[1952,3013],{"className":3014,"style":2154},[1990],[1952,3016,3018,3021],{"className":3017},[1995],[1952,3019,2128],{"className":3020,"style":2161},[1995,1996],[1952,3022,3024],{"className":3023},[2165],[1952,3025,3027,3047],{"className":3026},[2169,2170],[1952,3028,3030,3044],{"className":3029},[2174],[1952,3031,3033],{"className":3032,"style":2179},[2178],[1952,3034,3035,3038],{"style":2182},[1952,3036],{"className":3037,"style":2187},[2186],[1952,3039,3041],{"className":3040},[2191,2192,2193,2194],[1952,3042,2013],{"className":3043},[1995,1996,2194],[1952,3045,2202],{"className":3046},[2201],[1952,3048,3050],{"className":3049},[2174],[1952,3051,3053],{"className":3052,"style":2209},[2178],[1952,3054],{},[1798,3056,3057,3060,3061,3089],{},[1850,3058,3059],{},"目标","：设计机制实现特定的社会选择函数 ",[1952,3062,3064,3077],{"className":3063},[1955],[1952,3065,3067],{"className":3066},[1959],[1961,3068,3069],{"xmlns":1963},[1965,3070,3071,3075],{},[1968,3072,3073],{},[1971,3074,2707],{},[1975,3076,2707],{"encoding":1977},[1952,3078,3080],{"className":3079,"ariaHidden":1982},[1981],[1952,3081,3083,3086],{"className":3082},[1986],[1952,3084],{"className":3085,"style":2730},[1990],[1952,3087,2707],{"className":3088,"style":2734},[1995,1996],"。",[1866,3091,3093],{"id":3092},"_12-直接机制与间接机制","1.2 直接机制与间接机制",[1798,3095,3096,1946],{},[1850,3097,3098],{},"直接机制 (Direct Mechanism)",[1805,3100,3101,3216],{},[1808,3102,3103,3104],{},"每个参与者直接报告自己的类型 ",[1952,3105,3107,3131],{"className":3106},[1955],[1952,3108,3110],{"className":3109},[1959],[1961,3111,3112],{"xmlns":1963},[1965,3113,3114,3128],{},[1968,3115,3116],{},[2124,3117,3118,3126],{},[3119,3120,3121,3123],"mover",{"accent":1982},[1971,3122,2128],{},[2015,3124,3125],{},"^",[1971,3127,2013],{},[1975,3129,3130],{"encoding":1977},"\\hat{\\theta}_i",[1952,3132,3134],{"className":3133,"ariaHidden":1982},[1981],[1952,3135,3137,3141],{"className":3136},[1986],[1952,3138],{"className":3139,"style":3140},[1990],"height:1.1079em;vertical-align:-0.15em;",[1952,3142,3144,3182],{"className":3143},[1995],[1952,3145,3148],{"className":3146},[1995,3147],"accent",[1952,3149,3151],{"className":3150},[2169],[1952,3152,3154],{"className":3153},[2174],[1952,3155,3158,3168],{"className":3156,"style":3157},[2178],"height:0.9579em;",[1952,3159,3161,3165],{"style":3160},"top:-3em;",[1952,3162],{"className":3163,"style":3164},[2186],"height:3em;",[1952,3166,2128],{"className":3167,"style":2161},[1995,1996],[1952,3169,3171,3174],{"style":3170},"top:-3.2634em;",[1952,3172],{"className":3173,"style":3164},[2186],[1952,3175,3179],{"className":3176,"style":3178},[3177],"accent-body","left:-0.1667em;",[1952,3180,3125],{"className":3181},[1995],[1952,3183,3185],{"className":3184},[2165],[1952,3186,3188,3208],{"className":3187},[2169,2170],[1952,3189,3191,3205],{"className":3190},[2174],[1952,3192,3194],{"className":3193,"style":2179},[2178],[1952,3195,3196,3199],{"style":2182},[1952,3197],{"className":3198,"style":2187},[2186],[1952,3200,3202],{"className":3201},[2191,2192,2193,2194],[1952,3203,2013],{"className":3204},[1995,1996,2194],[1952,3206,2202],{"className":3207},[2201],[1952,3209,3211],{"className":3210},[2174],[1952,3212,3214],{"className":3213,"style":2209},[2178],[1952,3215],{},[1808,3217,3218,3219,3280,3281],{},"机制根据报告的类型向量 ",[1952,3220,3222,3240],{"className":3221},[1955],[1952,3223,3225],{"className":3224},[1959],[1961,3226,3227],{"xmlns":1963},[1965,3228,3229,3237],{},[1968,3230,3231],{},[3119,3232,3233,3235],{"accent":1982},[1971,3234,2128],{},[2015,3236,3125],{},[1975,3238,3239],{"encoding":1977},"\\hat{\\theta}",[1952,3241,3243],{"className":3242,"ariaHidden":1982},[1981],[1952,3244,3246,3249],{"className":3245},[1986],[1952,3247],{"className":3248,"style":3157},[1990],[1952,3250,3252],{"className":3251},[1995,3147],[1952,3253,3255],{"className":3254},[2169],[1952,3256,3258],{"className":3257},[2174],[1952,3259,3261,3269],{"className":3260,"style":3157},[2178],[1952,3262,3263,3266],{"style":3160},[1952,3264],{"className":3265,"style":3164},[2186],[1952,3267,2128],{"className":3268,"style":2161},[1995,1996],[1952,3270,3271,3274],{"style":3170},[1952,3272],{"className":3273,"style":3164},[2186],[1952,3275,3277],{"className":3276,"style":3178},[3177],[1952,3278,3125],{"className":3279},[1995]," 选择结果：",[1952,3282,3284,3312],{"className":3283},[1955],[1952,3285,3287],{"className":3286},[1959],[1961,3288,3289],{"xmlns":1963},[1965,3290,3291,3309],{},[1968,3292,3293,3295,3297,3299,3301,3307],{},[1971,3294,2834],{},[2015,3296,2017],{},[1971,3298,2707],{},[2015,3300,2303],{"stretchy":2302},[3119,3302,3303,3305],{"accent":1982},[1971,3304,2128],{},[2015,3306,3125],{},[2015,3308,2312],{"stretchy":2302},[1975,3310,3311],{"encoding":1977},"x = f(\\hat{\\theta})",[1952,3313,3315,3333],{"className":3314,"ariaHidden":1982},[1981],[1952,3316,3318,3321,3324,3327,3330],{"className":3317},[1986],[1952,3319],{"className":3320,"style":2980},[1990],[1952,3322,2834],{"className":3323},[1995,1996],[1952,3325],{"className":3326,"style":2057},[2056],[1952,3328,2017],{"className":3329},[2061],[1952,3331],{"className":3332,"style":2057},[2056],[1952,3334,3336,3340,3343,3346,3377],{"className":3335},[1986],[1952,3337],{"className":3338,"style":3339},[1990],"height:1.2079em;vertical-align:-0.25em;",[1952,3341,2707],{"className":3342,"style":2734},[1995,1996],[1952,3344,2303],{"className":3345},[2426],[1952,3347,3349],{"className":3348},[1995,3147],[1952,3350,3352],{"className":3351},[2169],[1952,3353,3355],{"className":3354},[2174],[1952,3356,3358,3366],{"className":3357,"style":3157},[2178],[1952,3359,3360,3363],{"style":3160},[1952,3361],{"className":3362,"style":3164},[2186],[1952,3364,2128],{"className":3365,"style":2161},[1995,1996],[1952,3367,3368,3371],{"style":3170},[1952,3369],{"className":3370,"style":3164},[2186],[1952,3372,3374],{"className":3373,"style":3178},[3177],[1952,3375,3125],{"className":3376},[1995],[1952,3378,2312],{"className":3379},[2470],[1798,3381,3382,1946],{},[1850,3383,3384],{},"间接机制 (Indirect Mechanism)",[1805,3386,3387,3390],{},[1808,3388,3389],{},"参与者选择\"策略\"或\"行动\"（如拍卖中的出价）",[1808,3391,3392],{},"机制根据行动选择结果",[1798,3394,3395,1946],{},[1850,3396,3397],{},"例子",[1805,3399,3400,3545,3548],{},[1808,3401,3402,3403,3472,3473,3544],{},"拍卖中，估值 ",[1952,3404,3406,3423],{"className":3405},[1955],[1952,3407,3409],{"className":3408},[1959],[1961,3410,3411],{"xmlns":1963},[1965,3412,3413,3421],{},[1968,3414,3415],{},[2124,3416,3417,3419],{},[1971,3418,2128],{},[1971,3420,2013],{},[1975,3422,3005],{"encoding":1977},[1952,3424,3426],{"className":3425,"ariaHidden":1982},[1981],[1952,3427,3429,3432],{"className":3428},[1986],[1952,3430],{"className":3431,"style":2154},[1990],[1952,3433,3435,3438],{"className":3434},[1995],[1952,3436,2128],{"className":3437,"style":2161},[1995,1996],[1952,3439,3441],{"className":3440},[2165],[1952,3442,3444,3464],{"className":3443},[2169,2170],[1952,3445,3447,3461],{"className":3446},[2174],[1952,3448,3450],{"className":3449,"style":2179},[2178],[1952,3451,3452,3455],{"style":2182},[1952,3453],{"className":3454,"style":2187},[2186],[1952,3456,3458],{"className":3457},[2191,2192,2193,2194],[1952,3459,2013],{"className":3460},[1995,1996,2194],[1952,3462,2202],{"className":3463},[2201],[1952,3465,3467],{"className":3466},[2174],[1952,3468,3470],{"className":3469,"style":2209},[2178],[1952,3471],{}," 是私人信息，出价 ",[1952,3474,3476,3495],{"className":3475},[1955],[1952,3477,3479],{"className":3478},[1959],[1961,3480,3481],{"xmlns":1963},[1965,3482,3483,3492],{},[1968,3484,3485],{},[2124,3486,3487,3490],{},[1971,3488,3489],{},"b",[1971,3491,2013],{},[1975,3493,3494],{"encoding":1977},"b_i",[1952,3496,3498],{"className":3497,"ariaHidden":1982},[1981],[1952,3499,3501,3504],{"className":3500},[1986],[1952,3502],{"className":3503,"style":2154},[1990],[1952,3505,3507,3510],{"className":3506},[1995],[1952,3508,3489],{"className":3509},[1995,1996],[1952,3511,3513],{"className":3512},[2165],[1952,3514,3516,3536],{"className":3515},[2169,2170],[1952,3517,3519,3533],{"className":3518},[2174],[1952,3520,3522],{"className":3521,"style":2179},[2178],[1952,3523,3524,3527],{"style":2248},[1952,3525],{"className":3526,"style":2187},[2186],[1952,3528,3530],{"className":3529},[2191,2192,2193,2194],[1952,3531,2013],{"className":3532},[1995,1996,2194],[1952,3534,2202],{"className":3535},[2201],[1952,3537,3539],{"className":3538},[2174],[1952,3540,3542],{"className":3541,"style":2209},[2178],[1952,3543],{}," 是策略",[1808,3546,3547],{},"直接机制：直接报告估值",[1808,3549,3550],{},"间接机制：选择出价策略",[1866,3552,3554],{"id":3553},"_13-激励相容约束","1.3 激励相容约束",[1798,3556,3557,3558,3561],{},"机制是",[1850,3559,3560],{},"激励相容","的，如果真实报告是（贝叶斯）纳什均衡：",[1952,3563,3566],{"className":3564},[3565],"katex-display",[1952,3567,3569,3710],{"className":3568},[1955],[1952,3570,3572],{"className":3571},[1959],[1961,3573,3575],{"xmlns":1963,"display":3574},"block",[1965,3576,3577,3707],{},[1968,3578,3579,3585,3587,3589,3591,3597,3599,3610,3612,3614,3620,3622,3625,3631,3633,3635,3637,3647,3649,3659,3661,3663,3669,3671,3674,3677,3683,3685,3695,3697],{},[2124,3580,3581,3583],{},[1971,3582,2827],{},[1971,3584,2013],{},[2015,3586,2303],{"stretchy":2302},[1971,3588,2707],{},[2015,3590,2303],{"stretchy":2302},[2124,3592,3593,3595],{},[1971,3594,2128],{},[1971,3596,2013],{},[2015,3598,2024],{"separator":1982},[2124,3600,3601,3603],{},[1971,3602,2128],{},[1968,3604,3605,3608],{},[2015,3606,3607],{},"−",[1971,3609,2013],{},[2015,3611,2312],{"stretchy":2302},[2015,3613,2024],{"separator":1982},[2124,3615,3616,3618],{},[1971,3617,2128],{},[1971,3619,2013],{},[2015,3621,2312],{"stretchy":2302},[2015,3623,3624],{},"≥",[2124,3626,3627,3629],{},[1971,3628,2827],{},[1971,3630,2013],{},[2015,3632,2303],{"stretchy":2302},[1971,3634,2707],{},[2015,3636,2303],{"stretchy":2302},[2124,3638,3639,3645],{},[3119,3640,3641,3643],{"accent":1982},[1971,3642,2128],{},[2015,3644,3125],{},[1971,3646,2013],{},[2015,3648,2024],{"separator":1982},[2124,3650,3651,3653],{},[1971,3652,2128],{},[1968,3654,3655,3657],{},[2015,3656,3607],{},[1971,3658,2013],{},[2015,3660,2312],{"stretchy":2302},[2015,3662,2024],{"separator":1982},[2124,3664,3665,3667],{},[1971,3666,2128],{},[1971,3668,2013],{},[2015,3670,2312],{"stretchy":2302},[2056,3672],{"width":3673},"1em",[1971,3675,3676],{"mathvariant":2138},"∀",[2124,3678,3679,3681],{},[1971,3680,2128],{},[1971,3682,2013],{},[2015,3684,2024],{"separator":1982},[2124,3686,3687,3693],{},[3119,3688,3689,3691],{"accent":1982},[1971,3690,2128],{},[2015,3692,3125],{},[1971,3694,2013],{},[2015,3696,2024],{"separator":1982},[2124,3698,3699,3701],{},[1971,3700,2128],{},[1968,3702,3703,3705],{},[2015,3704,3607],{},[1971,3706,2013],{},[1975,3708,3709],{"encoding":1977},"u_i(f(\\theta_i, \\theta_{-i}), \\theta_i) \\geq u_i(f(\\hat{\\theta}_i, \\theta_{-i}), \\theta_i) \\quad \\forall \\theta_i, \\hat{\\theta}_i, \\theta_{-i}",[1952,3711,3713,3922],{"className":3712,"ariaHidden":1982},[1981],[1952,3714,3716,3719,3759,3762,3765,3768,3808,3811,3814,3861,3864,3867,3870,3910,3913,3916,3919],{"className":3715},[1986],[1952,3717],{"className":3718,"style":2380},[1990],[1952,3720,3722,3725],{"className":3721},[1995],[1952,3723,2827],{"className":3724},[1995,1996],[1952,3726,3728],{"className":3727},[2165],[1952,3729,3731,3751],{"className":3730},[2169,2170],[1952,3732,3734,3748],{"className":3733},[2174],[1952,3735,3737],{"className":3736,"style":2179},[2178],[1952,3738,3739,3742],{"style":2248},[1952,3740],{"className":3741,"style":2187},[2186],[1952,3743,3745],{"className":3744},[2191,2192,2193,2194],[1952,3746,2013],{"className":3747},[1995,1996,2194],[1952,3749,2202],{"className":3750},[2201],[1952,3752,3754],{"className":3753},[2174],[1952,3755,3757],{"className":3756,"style":2209},[2178],[1952,3758],{},[1952,3760,2303],{"className":3761},[2426],[1952,3763,2707],{"className":3764,"style":2734},[1995,1996],[1952,3766,2303],{"className":3767},[2426],[1952,3769,3771,3774],{"className":3770},[1995],[1952,3772,2128],{"className":3773,"style":2161},[1995,1996],[1952,3775,3777],{"className":3776},[2165],[1952,3778,3780,3800],{"className":3779},[2169,2170],[1952,3781,3783,3797],{"className":3782},[2174],[1952,3784,3786],{"className":3785,"style":2179},[2178],[1952,3787,3788,3791],{"style":2182},[1952,3789],{"className":3790,"style":2187},[2186],[1952,3792,3794],{"className":3793},[2191,2192,2193,2194],[1952,3795,2013],{"className":3796},[1995,1996,2194],[1952,3798,2202],{"className":3799},[2201],[1952,3801,3803],{"className":3802},[2174],[1952,3804,3806],{"className":3805,"style":2209},[2178],[1952,3807],{},[1952,3809,2024],{"className":3810},[2078],[1952,3812],{"className":3813,"style":2082},[2056],[1952,3815,3817,3820],{"className":3816},[1995],[1952,3818,2128],{"className":3819,"style":2161},[1995,1996],[1952,3821,3823],{"className":3822},[2165],[1952,3824,3826,3852],{"className":3825},[2169,2170],[1952,3827,3829,3849],{"className":3828},[2174],[1952,3830,3832],{"className":3831,"style":2179},[2178],[1952,3833,3834,3837],{"style":2182},[1952,3835],{"className":3836,"style":2187},[2186],[1952,3838,3840],{"className":3839},[2191,2192,2193,2194],[1952,3841,3843,3846],{"className":3842},[1995,2194],[1952,3844,3607],{"className":3845},[1995,2194],[1952,3847,2013],{"className":3848},[1995,1996,2194],[1952,3850,2202],{"className":3851},[2201],[1952,3853,3855],{"className":3854},[2174],[1952,3856,3859],{"className":3857,"style":3858},[2178],"height:0.2083em;",[1952,3860],{},[1952,3862,2312],{"className":3863},[2470],[1952,3865,2024],{"className":3866},[2078],[1952,3868],{"className":3869,"style":2082},[2056],[1952,3871,3873,3876],{"className":3872},[1995],[1952,3874,2128],{"className":3875,"style":2161},[1995,1996],[1952,3877,3879],{"className":3878},[2165],[1952,3880,3882,3902],{"className":3881},[2169,2170],[1952,3883,3885,3899],{"className":3884},[2174],[1952,3886,3888],{"className":3887,"style":2179},[2178],[1952,3889,3890,3893],{"style":2182},[1952,3891],{"className":3892,"style":2187},[2186],[1952,3894,3896],{"className":3895},[2191,2192,2193,2194],[1952,3897,2013],{"className":3898},[1995,1996,2194],[1952,3900,2202],{"className":3901},[2201],[1952,3903,3905],{"className":3904},[2174],[1952,3906,3908],{"className":3907,"style":2209},[2178],[1952,3909],{},[1952,3911,2312],{"className":3912},[2470],[1952,3914],{"className":3915,"style":2057},[2056],[1952,3917,3624],{"className":3918},[2061],[1952,3920],{"className":3921,"style":2057},[2056],[1952,3923,3925,3928,3968,3971,3974,3977,4045,4048,4051,4097,4100,4103,4106,4146,4149,4153,4156,4196,4199,4202,4270,4273,4276],{"className":3924},[1986],[1952,3926],{"className":3927,"style":3339},[1990],[1952,3929,3931,3934],{"className":3930},[1995],[1952,3932,2827],{"className":3933},[1995,1996],[1952,3935,3937],{"className":3936},[2165],[1952,3938,3940,3960],{"className":3939},[2169,2170],[1952,3941,3943,3957],{"className":3942},[2174],[1952,3944,3946],{"className":3945,"style":2179},[2178],[1952,3947,3948,3951],{"style":2248},[1952,3949],{"className":3950,"style":2187},[2186],[1952,3952,3954],{"className":3953},[2191,2192,2193,2194],[1952,3955,2013],{"className":3956},[1995,1996,2194],[1952,3958,2202],{"className":3959},[2201],[1952,3961,3963],{"className":3962},[2174],[1952,3964,3966],{"className":3965,"style":2209},[2178],[1952,3967],{},[1952,3969,2303],{"className":3970},[2426],[1952,3972,2707],{"className":3973,"style":2734},[1995,1996],[1952,3975,2303],{"className":3976},[2426],[1952,3978,3980,4011],{"className":3979},[1995],[1952,3981,3983],{"className":3982},[1995,3147],[1952,3984,3986],{"className":3985},[2169],[1952,3987,3989],{"className":3988},[2174],[1952,3990,3992,4000],{"className":3991,"style":3157},[2178],[1952,3993,3994,3997],{"style":3160},[1952,3995],{"className":3996,"style":3164},[2186],[1952,3998,2128],{"className":3999,"style":2161},[1995,1996],[1952,4001,4002,4005],{"style":3170},[1952,4003],{"className":4004,"style":3164},[2186],[1952,4006,4008],{"className":4007,"style":3178},[3177],[1952,4009,3125],{"className":4010},[1995],[1952,4012,4014],{"className":4013},[2165],[1952,4015,4017,4037],{"className":4016},[2169,2170],[1952,4018,4020,4034],{"className":4019},[2174],[1952,4021,4023],{"className":4022,"style":2179},[2178],[1952,4024,4025,4028],{"style":2182},[1952,4026],{"className":4027,"style":2187},[2186],[1952,4029,4031],{"className":4030},[2191,2192,2193,2194],[1952,4032,2013],{"className":4033},[1995,1996,2194],[1952,4035,2202],{"className":4036},[2201],[1952,4038,4040],{"className":4039},[2174],[1952,4041,4043],{"className":4042,"style":2209},[2178],[1952,4044],{},[1952,4046,2024],{"className":4047},[2078],[1952,4049],{"className":4050,"style":2082},[2056],[1952,4052,4054,4057],{"className":4053},[1995],[1952,4055,2128],{"className":4056,"style":2161},[1995,1996],[1952,4058,4060],{"className":4059},[2165],[1952,4061,4063,4089],{"className":4062},[2169,2170],[1952,4064,4066,4086],{"className":4065},[2174],[1952,4067,4069],{"className":4068,"style":2179},[2178],[1952,4070,4071,4074],{"style":2182},[1952,4072],{"className":4073,"style":2187},[2186],[1952,4075,4077],{"className":4076},[2191,2192,2193,2194],[1952,4078,4080,4083],{"className":4079},[1995,2194],[1952,4081,3607],{"className":4082},[1995,2194],[1952,4084,2013],{"className":4085},[1995,1996,2194],[1952,4087,2202],{"className":4088},[2201],[1952,4090,4092],{"className":4091},[2174],[1952,4093,4095],{"className":4094,"style":3858},[2178],[1952,4096],{},[1952,4098,2312],{"className":4099},[2470],[1952,4101,2024],{"className":4102},[2078],[1952,4104],{"className":4105,"style":2082},[2056],[1952,4107,4109,4112],{"className":4108},[1995],[1952,4110,2128],{"className":4111,"style":2161},[1995,1996],[1952,4113,4115],{"className":4114},[2165],[1952,4116,4118,4138],{"className":4117},[2169,2170],[1952,4119,4121,4135],{"className":4120},[2174],[1952,4122,4124],{"className":4123,"style":2179},[2178],[1952,4125,4126,4129],{"style":2182},[1952,4127],{"className":4128,"style":2187},[2186],[1952,4130,4132],{"className":4131},[2191,2192,2193,2194],[1952,4133,2013],{"className":4134},[1995,1996,2194],[1952,4136,2202],{"className":4137},[2201],[1952,4139,4141],{"className":4140},[2174],[1952,4142,4144],{"className":4143,"style":2209},[2178],[1952,4145],{},[1952,4147,2312],{"className":4148},[2470],[1952,4150],{"className":4151,"style":4152},[2056],"margin-right:1em;",[1952,4154,3676],{"className":4155},[1995],[1952,4157,4159,4162],{"className":4158},[1995],[1952,4160,2128],{"className":4161,"style":2161},[1995,1996],[1952,4163,4165],{"className":4164},[2165],[1952,4166,4168,4188],{"className":4167},[2169,2170],[1952,4169,4171,4185],{"className":4170},[2174],[1952,4172,4174],{"className":4173,"style":2179},[2178],[1952,4175,4176,4179],{"style":2182},[1952,4177],{"className":4178,"style":2187},[2186],[1952,4180,4182],{"className":4181},[2191,2192,2193,2194],[1952,4183,2013],{"className":4184},[1995,1996,2194],[1952,4186,2202],{"className":4187},[2201],[1952,4189,4191],{"className":4190},[2174],[1952,4192,4194],{"className":4193,"style":2209},[2178],[1952,4195],{},[1952,4197,2024],{"className":4198},[2078],[1952,4200],{"className":4201,"style":2082},[2056],[1952,4203,4205,4236],{"className":4204},[1995],[1952,4206,4208],{"className":4207},[1995,3147],[1952,4209,4211],{"className":4210},[2169],[1952,4212,4214],{"className":4213},[2174],[1952,4215,4217,4225],{"className":4216,"style":3157},[2178],[1952,4218,4219,4222],{"style":3160},[1952,4220],{"className":4221,"style":3164},[2186],[1952,4223,2128],{"className":4224,"style":2161},[1995,1996],[1952,4226,4227,4230],{"style":3170},[1952,4228],{"className":4229,"style":3164},[2186],[1952,4231,4233],{"className":4232,"style":3178},[3177],[1952,4234,3125],{"className":4235},[1995],[1952,4237,4239],{"className":4238},[2165],[1952,4240,4242,4262],{"className":4241},[2169,2170],[1952,4243,4245,4259],{"className":4244},[2174],[1952,4246,4248],{"className":4247,"style":2179},[2178],[1952,4249,4250,4253],{"style":2182},[1952,4251],{"className":4252,"style":2187},[2186],[1952,4254,4256],{"className":4255},[2191,2192,2193,2194],[1952,4257,2013],{"className":4258},[1995,1996,2194],[1952,4260,2202],{"className":4261},[2201],[1952,4263,4265],{"className":4264},[2174],[1952,4266,4268],{"className":4267,"style":2209},[2178],[1952,4269],{},[1952,4271,2024],{"className":4272},[2078],[1952,4274],{"className":4275,"style":2082},[2056],[1952,4277,4279,4282],{"className":4278},[1995],[1952,4280,2128],{"className":4281,"style":2161},[1995,1996],[1952,4283,4285],{"className":4284},[2165],[1952,4286,4288,4314],{"className":4287},[2169,2170],[1952,4289,4291,4311],{"className":4290},[2174],[1952,4292,4294],{"className":4293,"style":2179},[2178],[1952,4295,4296,4299],{"style":2182},[1952,4297],{"className":4298,"style":2187},[2186],[1952,4300,4302],{"className":4301},[2191,2192,2193,2194],[1952,4303,4305,4308],{"className":4304},[1995,2194],[1952,4306,3607],{"className":4307},[1995,2194],[1952,4309,2013],{"className":4310},[1995,1996,2194],[1952,4312,2202],{"className":4313},[2201],[1952,4315,4317],{"className":4316},[2174],[1952,4318,4320],{"className":4319,"style":3858},[2178],[1952,4321],{},[1798,4323,4324,4325,4394,4395,4496],{},"即对于任何类型 ",[1952,4326,4328,4345],{"className":4327},[1955],[1952,4329,4331],{"className":4330},[1959],[1961,4332,4333],{"xmlns":1963},[1965,4334,4335,4343],{},[1968,4336,4337],{},[2124,4338,4339,4341],{},[1971,4340,2128],{},[1971,4342,2013],{},[1975,4344,3005],{"encoding":1977},[1952,4346,4348],{"className":4347,"ariaHidden":1982},[1981],[1952,4349,4351,4354],{"className":4350},[1986],[1952,4352],{"className":4353,"style":2154},[1990],[1952,4355,4357,4360],{"className":4356},[1995],[1952,4358,2128],{"className":4359,"style":2161},[1995,1996],[1952,4361,4363],{"className":4362},[2165],[1952,4364,4366,4386],{"className":4365},[2169,2170],[1952,4367,4369,4383],{"className":4368},[2174],[1952,4370,4372],{"className":4371,"style":2179},[2178],[1952,4373,4374,4377],{"style":2182},[1952,4375],{"className":4376,"style":2187},[2186],[1952,4378,4380],{"className":4379},[2191,2192,2193,2194],[1952,4381,2013],{"className":4382},[1995,1996,2194],[1952,4384,2202],{"className":4385},[2201],[1952,4387,4389],{"className":4388},[2174],[1952,4390,4392],{"className":4391,"style":2209},[2178],[1952,4393],{},"，真实报告的期望效用不低于谎报任何 ",[1952,4396,4398,4419],{"className":4397},[1955],[1952,4399,4401],{"className":4400},[1959],[1961,4402,4403],{"xmlns":1963},[1965,4404,4405,4417],{},[1968,4406,4407],{},[2124,4408,4409,4415],{},[3119,4410,4411,4413],{"accent":1982},[1971,4412,2128],{},[2015,4414,3125],{},[1971,4416,2013],{},[1975,4418,3130],{"encoding":1977},[1952,4420,4422],{"className":4421,"ariaHidden":1982},[1981],[1952,4423,4425,4428],{"className":4424},[1986],[1952,4426],{"className":4427,"style":3140},[1990],[1952,4429,4431,4462],{"className":4430},[1995],[1952,4432,4434],{"className":4433},[1995,3147],[1952,4435,4437],{"className":4436},[2169],[1952,4438,4440],{"className":4439},[2174],[1952,4441,4443,4451],{"className":4442,"style":3157},[2178],[1952,4444,4445,4448],{"style":3160},[1952,4446],{"className":4447,"style":3164},[2186],[1952,4449,2128],{"className":4450,"style":2161},[1995,1996],[1952,4452,4453,4456],{"style":3170},[1952,4454],{"className":4455,"style":3164},[2186],[1952,4457,4459],{"className":4458,"style":3178},[3177],[1952,4460,3125],{"className":4461},[1995],[1952,4463,4465],{"className":4464},[2165],[1952,4466,4468,4488],{"className":4467},[2169,2170],[1952,4469,4471,4485],{"className":4470},[2174],[1952,4472,4474],{"className":4473,"style":2179},[2178],[1952,4475,4476,4479],{"style":2182},[1952,4477],{"className":4478,"style":2187},[2186],[1952,4480,4482],{"className":4481},[2191,2192,2193,2194],[1952,4483,2013],{"className":4484},[1995,1996,2194],[1952,4486,2202],{"className":4487},[2201],[1952,4489,4491],{"className":4490},[2174],[1952,4492,4494],{"className":4493,"style":2209},[2178],[1952,4495],{}," 的期望效用。",[1798,4498,4499,4502,4503,4584],{},[1850,4500,4501],{},"优势策略激励相容 (Dominant-Strategy IC, DSIC)","：\n如果对于任何 ",[1952,4504,4506,4528],{"className":4505},[1955],[1952,4507,4509],{"className":4508},[1959],[1961,4510,4511],{"xmlns":1963},[1965,4512,4513,4525],{},[1968,4514,4515],{},[2124,4516,4517,4519],{},[1971,4518,2128],{},[1968,4520,4521,4523],{},[2015,4522,3607],{},[1971,4524,2013],{},[1975,4526,4527],{"encoding":1977},"\\theta_{-i}",[1952,4529,4531],{"className":4530,"ariaHidden":1982},[1981],[1952,4532,4534,4538],{"className":4533},[1986],[1952,4535],{"className":4536,"style":4537},[1990],"height:0.9028em;vertical-align:-0.2083em;",[1952,4539,4541,4544],{"className":4540},[1995],[1952,4542,2128],{"className":4543,"style":2161},[1995,1996],[1952,4545,4547],{"className":4546},[2165],[1952,4548,4550,4576],{"className":4549},[2169,2170],[1952,4551,4553,4573],{"className":4552},[2174],[1952,4554,4556],{"className":4555,"style":2179},[2178],[1952,4557,4558,4561],{"style":2182},[1952,4559],{"className":4560,"style":2187},[2186],[1952,4562,4564],{"className":4563},[2191,2192,2193,2194],[1952,4565,4567,4570],{"className":4566},[1995,2194],[1952,4568,3607],{"className":4569},[1995,2194],[1952,4571,2013],{"className":4572},[1995,1996,2194],[1952,4574,2202],{"className":4575},[2201],[1952,4577,4579],{"className":4578},[2174],[1952,4580,4582],{"className":4581,"style":3858},[2178],[1952,4583],{},"（其他人的类型），真实报告都是最优的：",[1952,4586,4588],{"className":4587},[3565],[1952,4589,4591,4726],{"className":4590},[1955],[1952,4592,4594],{"className":4593},[1959],[1961,4595,4596],{"xmlns":1963,"display":3574},[1965,4597,4598,4724],{},[1968,4599,4600,4606,4608,4610,4612,4618,4620,4630,4632,4634,4640,4642,4644,4650,4652,4654,4656,4666,4668,4678,4680,4682,4688,4690,4692,4694,4700,4702,4712,4714],{},[2124,4601,4602,4604],{},[1971,4603,2827],{},[1971,4605,2013],{},[2015,4607,2303],{"stretchy":2302},[1971,4609,2707],{},[2015,4611,2303],{"stretchy":2302},[2124,4613,4614,4616],{},[1971,4615,2128],{},[1971,4617,2013],{},[2015,4619,2024],{"separator":1982},[2124,4621,4622,4624],{},[1971,4623,2128],{},[1968,4625,4626,4628],{},[2015,4627,3607],{},[1971,4629,2013],{},[2015,4631,2312],{"stretchy":2302},[2015,4633,2024],{"separator":1982},[2124,4635,4636,4638],{},[1971,4637,2128],{},[1971,4639,2013],{},[2015,4641,2312],{"stretchy":2302},[2015,4643,3624],{},[2124,4645,4646,4648],{},[1971,4647,2827],{},[1971,4649,2013],{},[2015,4651,2303],{"stretchy":2302},[1971,4653,2707],{},[2015,4655,2303],{"stretchy":2302},[2124,4657,4658,4664],{},[3119,4659,4660,4662],{"accent":1982},[1971,4661,2128],{},[2015,4663,3125],{},[1971,4665,2013],{},[2015,4667,2024],{"separator":1982},[2124,4669,4670,4672],{},[1971,4671,2128],{},[1968,4673,4674,4676],{},[2015,4675,3607],{},[1971,4677,2013],{},[2015,4679,2312],{"stretchy":2302},[2015,4681,2024],{"separator":1982},[2124,4683,4684,4686],{},[1971,4685,2128],{},[1971,4687,2013],{},[2015,4689,2312],{"stretchy":2302},[2056,4691],{"width":3673},[1971,4693,3676],{"mathvariant":2138},[2124,4695,4696,4698],{},[1971,4697,2128],{},[1971,4699,2013],{},[2015,4701,2024],{"separator":1982},[2124,4703,4704,4710],{},[3119,4705,4706,4708],{"accent":1982},[1971,4707,2128],{},[2015,4709,3125],{},[1971,4711,2013],{},[2015,4713,2024],{"separator":1982},[2124,4715,4716,4718],{},[1971,4717,2128],{},[1968,4719,4720,4722],{},[2015,4721,3607],{},[1971,4723,2013],{},[1975,4725,3709],{"encoding":1977},[1952,4727,4729,4937],{"className":4728,"ariaHidden":1982},[1981],[1952,4730,4732,4735,4775,4778,4781,4784,4824,4827,4830,4876,4879,4882,4885,4925,4928,4931,4934],{"className":4731},[1986],[1952,4733],{"className":4734,"style":2380},[1990],[1952,4736,4738,4741],{"className":4737},[1995],[1952,4739,2827],{"className":4740},[1995,1996],[1952,4742,4744],{"className":4743},[2165],[1952,4745,4747,4767],{"className":4746},[2169,2170],[1952,4748,4750,4764],{"className":4749},[2174],[1952,4751,4753],{"className":4752,"style":2179},[2178],[1952,4754,4755,4758],{"style":2248},[1952,4756],{"className":4757,"style":2187},[2186],[1952,4759,4761],{"className":4760},[2191,2192,2193,2194],[1952,4762,2013],{"className":4763},[1995,1996,2194],[1952,4765,2202],{"className":4766},[2201],[1952,4768,4770],{"className":4769},[2174],[1952,4771,4773],{"className":4772,"style":2209},[2178],[1952,4774],{},[1952,4776,2303],{"className":4777},[2426],[1952,4779,2707],{"className":4780,"style":2734},[1995,1996],[1952,4782,2303],{"className":4783},[2426],[1952,4785,4787,4790],{"className":4786},[1995],[1952,4788,2128],{"className":4789,"style":2161},[1995,1996],[1952,4791,4793],{"className":4792},[2165],[1952,4794,4796,4816],{"className":4795},[2169,2170],[1952,4797,4799,4813],{"className":4798},[2174],[1952,4800,4802],{"className":4801,"style":2179},[2178],[1952,4803,4804,4807],{"style":2182},[1952,4805],{"className":4806,"style":2187},[2186],[1952,4808,4810],{"className":4809},[2191,2192,2193,2194],[1952,4811,2013],{"className":4812},[1995,1996,2194],[1952,4814,2202],{"className":4815},[2201],[1952,4817,4819],{"className":4818},[2174],[1952,4820,4822],{"className":4821,"style":2209},[2178],[1952,4823],{},[1952,4825,2024],{"className":4826},[2078],[1952,4828],{"className":4829,"style":2082},[2056],[1952,4831,4833,4836],{"className":4832},[1995],[1952,4834,2128],{"className":4835,"style":2161},[1995,1996],[1952,4837,4839],{"className":4838},[2165],[1952,4840,4842,4868],{"className":4841},[2169,2170],[1952,4843,4845,4865],{"className":4844},[2174],[1952,4846,4848],{"className":4847,"style":2179},[2178],[1952,4849,4850,4853],{"style":2182},[1952,4851],{"className":4852,"style":2187},[2186],[1952,4854,4856],{"className":4855},[2191,2192,2193,2194],[1952,4857,4859,4862],{"className":4858},[1995,2194],[1952,4860,3607],{"className":4861},[1995,2194],[1952,4863,2013],{"className":4864},[1995,1996,2194],[1952,4866,2202],{"className":4867},[2201],[1952,4869,4871],{"className":4870},[2174],[1952,4872,4874],{"className":4873,"style":3858},[2178],[1952,4875],{},[1952,4877,2312],{"className":4878},[2470],[1952,4880,2024],{"className":4881},[2078],[1952,4883],{"className":4884,"style":2082},[2056],[1952,4886,4888,4891],{"className":4887},[1995],[1952,4889,2128],{"className":4890,"style":2161},[1995,1996],[1952,4892,4894],{"className":4893},[2165],[1952,4895,4897,4917],{"className":4896},[2169,2170],[1952,4898,4900,4914],{"className":4899},[2174],[1952,4901,4903],{"className":4902,"style":2179},[2178],[1952,4904,4905,4908],{"style":2182},[1952,4906],{"className":4907,"style":2187},[2186],[1952,4909,4911],{"className":4910},[2191,2192,2193,2194],[1952,4912,2013],{"className":4913},[1995,1996,2194],[1952,4915,2202],{"className":4916},[2201],[1952,4918,4920],{"className":4919},[2174],[1952,4921,4923],{"className":4922,"style":2209},[2178],[1952,4924],{},[1952,4926,2312],{"className":4927},[2470],[1952,4929],{"className":4930,"style":2057},[2056],[1952,4932,3624],{"className":4933},[2061],[1952,4935],{"className":4936,"style":2057},[2056],[1952,4938,4940,4943,4983,4986,4989,4992,5060,5063,5066,5112,5115,5118,5121,5161,5164,5167,5170,5210,5213,5216,5284,5287,5290],{"className":4939},[1986],[1952,4941],{"className":4942,"style":3339},[1990],[1952,4944,4946,4949],{"className":4945},[1995],[1952,4947,2827],{"className":4948},[1995,1996],[1952,4950,4952],{"className":4951},[2165],[1952,4953,4955,4975],{"className":4954},[2169,2170],[1952,4956,4958,4972],{"className":4957},[2174],[1952,4959,4961],{"className":4960,"style":2179},[2178],[1952,4962,4963,4966],{"style":2248},[1952,4964],{"className":4965,"style":2187},[2186],[1952,4967,4969],{"className":4968},[2191,2192,2193,2194],[1952,4970,2013],{"className":4971},[1995,1996,2194],[1952,4973,2202],{"className":4974},[2201],[1952,4976,4978],{"className":4977},[2174],[1952,4979,4981],{"className":4980,"style":2209},[2178],[1952,4982],{},[1952,4984,2303],{"className":4985},[2426],[1952,4987,2707],{"className":4988,"style":2734},[1995,1996],[1952,4990,2303],{"className":4991},[2426],[1952,4993,4995,5026],{"className":4994},[1995],[1952,4996,4998],{"className":4997},[1995,3147],[1952,4999,5001],{"className":5000},[2169],[1952,5002,5004],{"className":5003},[2174],[1952,5005,5007,5015],{"className":5006,"style":3157},[2178],[1952,5008,5009,5012],{"style":3160},[1952,5010],{"className":5011,"style":3164},[2186],[1952,5013,2128],{"className":5014,"style":2161},[1995,1996],[1952,5016,5017,5020],{"style":3170},[1952,5018],{"className":5019,"style":3164},[2186],[1952,5021,5023],{"className":5022,"style":3178},[3177],[1952,5024,3125],{"className":5025},[1995],[1952,5027,5029],{"className":5028},[2165],[1952,5030,5032,5052],{"className":5031},[2169,2170],[1952,5033,5035,5049],{"className":5034},[2174],[1952,5036,5038],{"className":5037,"style":2179},[2178],[1952,5039,5040,5043],{"style":2182},[1952,5041],{"className":5042,"style":2187},[2186],[1952,5044,5046],{"className":5045},[2191,2192,2193,2194],[1952,5047,2013],{"className":5048},[1995,1996,2194],[1952,5050,2202],{"className":5051},[2201],[1952,5053,5055],{"className":5054},[2174],[1952,5056,5058],{"className":5057,"style":2209},[2178],[1952,5059],{},[1952,5061,2024],{"className":5062},[2078],[1952,5064],{"className":5065,"style":2082},[2056],[1952,5067,5069,5072],{"className":5068},[1995],[1952,5070,2128],{"className":5071,"style":2161},[1995,1996],[1952,5073,5075],{"className":5074},[2165],[1952,5076,5078,5104],{"className":5077},[2169,2170],[1952,5079,5081,5101],{"className":5080},[2174],[1952,5082,5084],{"className":5083,"style":2179},[2178],[1952,5085,5086,5089],{"style":2182},[1952,5087],{"className":5088,"style":2187},[2186],[1952,5090,5092],{"className":5091},[2191,2192,2193,2194],[1952,5093,5095,5098],{"className":5094},[1995,2194],[1952,5096,3607],{"className":5097},[1995,2194],[1952,5099,2013],{"className":5100},[1995,1996,2194],[1952,5102,2202],{"className":5103},[2201],[1952,5105,5107],{"className":5106},[2174],[1952,5108,5110],{"className":5109,"style":3858},[2178],[1952,5111],{},[1952,5113,2312],{"className":5114},[2470],[1952,5116,2024],{"className":5117},[2078],[1952,5119],{"className":5120,"style":2082},[2056],[1952,5122,5124,5127],{"className":5123},[1995],[1952,5125,2128],{"className":5126,"style":2161},[1995,1996],[1952,5128,5130],{"className":5129},[2165],[1952,5131,5133,5153],{"className":5132},[2169,2170],[1952,5134,5136,5150],{"className":5135},[2174],[1952,5137,5139],{"className":5138,"style":2179},[2178],[1952,5140,5141,5144],{"style":2182},[1952,5142],{"className":5143,"style":2187},[2186],[1952,5145,5147],{"className":5146},[2191,2192,2193,2194],[1952,5148,2013],{"className":5149},[1995,1996,2194],[1952,5151,2202],{"className":5152},[2201],[1952,5154,5156],{"className":5155},[2174],[1952,5157,5159],{"className":5158,"style":2209},[2178],[1952,5160],{},[1952,5162,2312],{"className":5163},[2470],[1952,5165],{"className":5166,"style":4152},[2056],[1952,5168,3676],{"className":5169},[1995],[1952,5171,5173,5176],{"className":5172},[1995],[1952,5174,2128],{"className":5175,"style":2161},[1995,1996],[1952,5177,5179],{"className":5178},[2165],[1952,5180,5182,5202],{"className":5181},[2169,2170],[1952,5183,5185,5199],{"className":5184},[2174],[1952,5186,5188],{"className":5187,"style":2179},[2178],[1952,5189,5190,5193],{"style":2182},[1952,5191],{"className":5192,"style":2187},[2186],[1952,5194,5196],{"className":5195},[2191,2192,2193,2194],[1952,5197,2013],{"className":5198},[1995,1996,2194],[1952,5200,2202],{"className":5201},[2201],[1952,5203,5205],{"className":5204},[2174],[1952,5206,5208],{"className":5207,"style":2209},[2178],[1952,5209],{},[1952,5211,2024],{"className":5212},[2078],[1952,5214],{"className":5215,"style":2082},[2056],[1952,5217,5219,5250],{"className":5218},[1995],[1952,5220,5222],{"className":5221},[1995,3147],[1952,5223,5225],{"className":5224},[2169],[1952,5226,5228],{"className":5227},[2174],[1952,5229,5231,5239],{"className":5230,"style":3157},[2178],[1952,5232,5233,5236],{"style":3160},[1952,5234],{"className":5235,"style":3164},[2186],[1952,5237,2128],{"className":5238,"style":2161},[1995,1996],[1952,5240,5241,5244],{"style":3170},[1952,5242],{"className":5243,"style":3164},[2186],[1952,5245,5247],{"className":5246,"style":3178},[3177],[1952,5248,3125],{"className":5249},[1995],[1952,5251,5253],{"className":5252},[2165],[1952,5254,5256,5276],{"className":5255},[2169,2170],[1952,5257,5259,5273],{"className":5258},[2174],[1952,5260,5262],{"className":5261,"style":2179},[2178],[1952,5263,5264,5267],{"style":2182},[1952,5265],{"className":5266,"style":2187},[2186],[1952,5268,5270],{"className":5269},[2191,2192,2193,2194],[1952,5271,2013],{"className":5272},[1995,1996,2194],[1952,5274,2202],{"className":5275},[2201],[1952,5277,5279],{"className":5278},[2174],[1952,5280,5282],{"className":5281,"style":2209},[2178],[1952,5283],{},[1952,5285,2024],{"className":5286},[2078],[1952,5288],{"className":5289,"style":2082},[2056],[1952,5291,5293,5296],{"className":5292},[1995],[1952,5294,2128],{"className":5295,"style":2161},[1995,1996],[1952,5297,5299],{"className":5298},[2165],[1952,5300,5302,5328],{"className":5301},[2169,2170],[1952,5303,5305,5325],{"className":5304},[2174],[1952,5306,5308],{"className":5307,"style":2179},[2178],[1952,5309,5310,5313],{"style":2182},[1952,5311],{"className":5312,"style":2187},[2186],[1952,5314,5316],{"className":5315},[2191,2192,2193,2194],[1952,5317,5319,5322],{"className":5318},[1995,2194],[1952,5320,3607],{"className":5321},[1995,2194],[1952,5323,2013],{"className":5324},[1995,1996,2194],[1952,5326,2202],{"className":5327},[2201],[1952,5329,5331],{"className":5330},[2174],[1952,5332,5334],{"className":5333,"style":3858},[2178],[1952,5335],{},[1798,5337,5338],{},"DSIC更强：无需对其他人的类型形成信念，真实报告总是最优。",[1794,5340,5342],{"id":5341},"二显示原理-revelation-principle","二、显示原理 (Revelation Principle)",[1866,5344,5346],{"id":5345},"_21-定理陈述","2.1 定理陈述",[1798,5348,5349,5352,5353,5356],{},[1850,5350,5351],{},"显示原理","：对于任何机制及其均衡结果，存在一个",[1850,5354,5355],{},"激励相容的直接机制","能够实现相同的结果分布。",[1798,5358,5359,1946],{},[1850,5360,5361],{},"含义",[1805,5363,5364,5367,5370],{},[1808,5365,5366],{},"我们可以将注意力限制在直接机制上",[1808,5368,5369],{},"无需考虑复杂的间接机制",[1808,5371,5372],{},"\"让参与者说真话\"是无损一般性的",[1866,5374,5376],{"id":5375},"_22-证明思路","2.2 证明思路",[1798,5378,5379,5380,5410,5411,1946],{},"给定任意间接机制 ",[1952,5381,5383,5398],{"className":5382},[1955],[1952,5384,5386],{"className":5385},[1959],[1961,5387,5388],{"xmlns":1963},[1965,5389,5390,5395],{},[1968,5391,5392],{},[1971,5393,5394],{"mathvariant":2138},"Γ",[1975,5396,5397],{"encoding":1977},"\\Gamma",[1952,5399,5401],{"className":5400,"ariaHidden":1982},[1981],[1952,5402,5404,5407],{"className":5403},[1986],[1952,5405],{"className":5406,"style":1991},[1990],[1952,5408,5394],{"className":5409},[1995]," 和均衡策略 ",[1952,5412,5414,5441],{"className":5413},[1955],[1952,5415,5417],{"className":5416},[1959],[1961,5418,5419],{"xmlns":1963},[1965,5420,5421,5438],{},[1968,5422,5423,5432,5434,5436],{},[5424,5425,5426,5429],"msup",{},[1971,5427,5428],{},"σ",[2015,5430,5431],{},"∗",[2015,5433,2303],{"stretchy":2302},[1971,5435,2128],{},[2015,5437,2312],{"stretchy":2302},[1975,5439,5440],{"encoding":1977},"\\sigma^*(\\theta)",[1952,5442,5444],{"className":5443,"ariaHidden":1982},[1981],[1952,5445,5447,5450,5483,5486,5489],{"className":5446},[1986],[1952,5448],{"className":5449,"style":2380},[1990],[1952,5451,5453,5457],{"className":5452},[1995],[1952,5454,5428],{"className":5455,"style":5456},[1995,1996],"margin-right:0.0359em;",[1952,5458,5460],{"className":5459},[2165],[1952,5461,5463],{"className":5462},[2169],[1952,5464,5466],{"className":5465},[2174],[1952,5467,5470],{"className":5468,"style":5469},[2178],"height:0.6887em;",[1952,5471,5473,5476],{"style":5472},"top:-3.063em;margin-right:0.05em;",[1952,5474],{"className":5475,"style":2187},[2186],[1952,5477,5479],{"className":5478},[2191,2192,2193,2194],[1952,5480,5431],{"className":5481},[5482,2194],"mbin",[1952,5484,2303],{"className":5485},[2426],[1952,5487,2128],{"className":5488,"style":2161},[1995,1996],[1952,5490,2312],{"className":5491},[2470],[1877,5493,5494,5557,5667],{},[1808,5495,5496,5497],{},"构造直接机制：要求参与者报告类型 ",[1952,5498,5500,5517],{"className":5499},[1955],[1952,5501,5503],{"className":5502},[1959],[1961,5504,5505],{"xmlns":1963},[1965,5506,5507,5515],{},[1968,5508,5509],{},[3119,5510,5511,5513],{"accent":1982},[1971,5512,2128],{},[2015,5514,3125],{},[1975,5516,3239],{"encoding":1977},[1952,5518,5520],{"className":5519,"ariaHidden":1982},[1981],[1952,5521,5523,5526],{"className":5522},[1986],[1952,5524],{"className":5525,"style":3157},[1990],[1952,5527,5529],{"className":5528},[1995,3147],[1952,5530,5532],{"className":5531},[2169],[1952,5533,5535],{"className":5534},[2174],[1952,5536,5538,5546],{"className":5537,"style":3157},[2178],[1952,5539,5540,5543],{"style":3160},[1952,5541],{"className":5542,"style":3164},[2186],[1952,5544,2128],{"className":5545,"style":2161},[1995,1996],[1952,5547,5548,5551],{"style":3170},[1952,5549],{"className":5550,"style":3164},[2186],[1952,5552,5554],{"className":5553,"style":3178},[3177],[1952,5555,3125],{"className":5556},[1995],[1808,5558,5559,5560,5666],{},"机制模拟原机制：使用均衡策略 ",[1952,5561,5563,5591],{"className":5562},[1955],[1952,5564,5566],{"className":5565},[1959],[1961,5567,5568],{"xmlns":1963},[1965,5569,5570,5588],{},[1968,5571,5572,5578,5580,5586],{},[5424,5573,5574,5576],{},[1971,5575,5428],{},[2015,5577,5431],{},[2015,5579,2303],{"stretchy":2302},[3119,5581,5582,5584],{"accent":1982},[1971,5583,2128],{},[2015,5585,3125],{},[2015,5587,2312],{"stretchy":2302},[1975,5589,5590],{"encoding":1977},"\\sigma^*(\\hat{\\theta})",[1952,5592,5594],{"className":5593,"ariaHidden":1982},[1981],[1952,5595,5597,5600,5629,5632,5663],{"className":5596},[1986],[1952,5598],{"className":5599,"style":3339},[1990],[1952,5601,5603,5606],{"className":5602},[1995],[1952,5604,5428],{"className":5605,"style":5456},[1995,1996],[1952,5607,5609],{"className":5608},[2165],[1952,5610,5612],{"className":5611},[2169],[1952,5613,5615],{"className":5614},[2174],[1952,5616,5618],{"className":5617,"style":5469},[2178],[1952,5619,5620,5623],{"style":5472},[1952,5621],{"className":5622,"style":2187},[2186],[1952,5624,5626],{"className":5625},[2191,2192,2193,2194],[1952,5627,5431],{"className":5628},[5482,2194],[1952,5630,2303],{"className":5631},[2426],[1952,5633,5635],{"className":5634},[1995,3147],[1952,5636,5638],{"className":5637},[2169],[1952,5639,5641],{"className":5640},[2174],[1952,5642,5644,5652],{"className":5643,"style":3157},[2178],[1952,5645,5646,5649],{"style":3160},[1952,5647],{"className":5648,"style":3164},[2186],[1952,5650,2128],{"className":5651,"style":2161},[1995,1996],[1952,5653,5654,5657],{"style":3170},[1952,5655],{"className":5656,"style":3164},[2186],[1952,5658,5660],{"className":5659,"style":3178},[3177],[1952,5661,3125],{"className":5662},[1995],[1952,5664,2312],{"className":5665},[2470]," 来选择行动",[1808,5668,5669,5670,5859,5860,5889],{},"结果：",[1952,5671,5673,5722],{"className":5672},[1955],[1952,5674,5676],{"className":5675},[1959],[1961,5677,5678],{"xmlns":1963},[1965,5679,5680,5719],{},[1968,5681,5682,5684,5686,5692,5694,5696,5699,5701,5707,5709,5715,5717],{},[1971,5683,2707],{},[2015,5685,2303],{"stretchy":2302},[3119,5687,5688,5690],{"accent":1982},[1971,5689,2128],{},[2015,5691,3125],{},[2015,5693,2312],{"stretchy":2302},[2015,5695,2017],{},[1971,5697,5698],{},"g",[2015,5700,2303],{"stretchy":2302},[5424,5702,5703,5705],{},[1971,5704,5428],{},[2015,5706,5431],{},[2015,5708,2303],{"stretchy":2302},[3119,5710,5711,5713],{"accent":1982},[1971,5712,2128],{},[2015,5714,3125],{},[2015,5716,2312],{"stretchy":2302},[2015,5718,2312],{"stretchy":2302},[1975,5720,5721],{"encoding":1977},"f(\\hat{\\theta}) = g(\\sigma^*(\\hat{\\theta}))",[1952,5723,5725,5780],{"className":5724,"ariaHidden":1982},[1981],[1952,5726,5728,5731,5734,5737,5768,5771,5774,5777],{"className":5727},[1986],[1952,5729],{"className":5730,"style":3339},[1990],[1952,5732,2707],{"className":5733,"style":2734},[1995,1996],[1952,5735,2303],{"className":5736},[2426],[1952,5738,5740],{"className":5739},[1995,3147],[1952,5741,5743],{"className":5742},[2169],[1952,5744,5746],{"className":5745},[2174],[1952,5747,5749,5757],{"className":5748,"style":3157},[2178],[1952,5750,5751,5754],{"style":3160},[1952,5752],{"className":5753,"style":3164},[2186],[1952,5755,2128],{"className":5756,"style":2161},[1995,1996],[1952,5758,5759,5762],{"style":3170},[1952,5760],{"className":5761,"style":3164},[2186],[1952,5763,5765],{"className":5764,"style":3178},[3177],[1952,5766,3125],{"className":5767},[1995],[1952,5769,2312],{"className":5770},[2470],[1952,5772],{"className":5773,"style":2057},[2056],[1952,5775,2017],{"className":5776},[2061],[1952,5778],{"className":5779,"style":2057},[2056],[1952,5781,5783,5786,5789,5792,5821,5824,5855],{"className":5782},[1986],[1952,5784],{"className":5785,"style":3339},[1990],[1952,5787,5698],{"className":5788,"style":5456},[1995,1996],[1952,5790,2303],{"className":5791},[2426],[1952,5793,5795,5798],{"className":5794},[1995],[1952,5796,5428],{"className":5797,"style":5456},[1995,1996],[1952,5799,5801],{"className":5800},[2165],[1952,5802,5804],{"className":5803},[2169],[1952,5805,5807],{"className":5806},[2174],[1952,5808,5810],{"className":5809,"style":5469},[2178],[1952,5811,5812,5815],{"style":5472},[1952,5813],{"className":5814,"style":2187},[2186],[1952,5816,5818],{"className":5817},[2191,2192,2193,2194],[1952,5819,5431],{"className":5820},[5482,2194],[1952,5822,2303],{"className":5823},[2426],[1952,5825,5827],{"className":5826},[1995,3147],[1952,5828,5830],{"className":5829},[2169],[1952,5831,5833],{"className":5832},[2174],[1952,5834,5836,5844],{"className":5835,"style":3157},[2178],[1952,5837,5838,5841],{"style":3160},[1952,5839],{"className":5840,"style":3164},[2186],[1952,5842,2128],{"className":5843,"style":2161},[1995,1996],[1952,5845,5846,5849],{"style":3170},[1952,5847],{"className":5848,"style":3164},[2186],[1952,5850,5852],{"className":5851,"style":3178},[3177],[1952,5853,3125],{"className":5854},[1995],[1952,5856,5858],{"className":5857},[2470],"))","，其中 ",[1952,5861,5863,5876],{"className":5862},[1955],[1952,5864,5866],{"className":5865},[1959],[1961,5867,5868],{"xmlns":1963},[1965,5869,5870,5874],{},[1968,5871,5872],{},[1971,5873,5698],{},[1975,5875,5698],{"encoding":1977},[1952,5877,5879],{"className":5878,"ariaHidden":1982},[1981],[1952,5880,5882,5886],{"className":5881},[1986],[1952,5883],{"className":5884,"style":5885},[1990],"height:0.625em;vertical-align:-0.1944em;",[1952,5887,5698],{"className":5888,"style":5456},[1995,1996]," 是原机制的结果函数",[1798,5891,5892,5895,5896,5969,5970,1946],{},[1850,5893,5894],{},"激励相容性","：\n由于 ",[1952,5897,5899,5922],{"className":5898},[1955],[1952,5900,5902],{"className":5901},[1959],[1961,5903,5904],{"xmlns":1963},[1965,5905,5906,5920],{},[1968,5907,5908,5914,5916,5918],{},[5424,5909,5910,5912],{},[1971,5911,5428],{},[2015,5913,5431],{},[2015,5915,2303],{"stretchy":2302},[1971,5917,2128],{},[2015,5919,2312],{"stretchy":2302},[1975,5921,5440],{"encoding":1977},[1952,5923,5925],{"className":5924,"ariaHidden":1982},[1981],[1952,5926,5928,5931,5960,5963,5966],{"className":5927},[1986],[1952,5929],{"className":5930,"style":2380},[1990],[1952,5932,5934,5937],{"className":5933},[1995],[1952,5935,5428],{"className":5936,"style":5456},[1995,1996],[1952,5938,5940],{"className":5939},[2165],[1952,5941,5943],{"className":5942},[2169],[1952,5944,5946],{"className":5945},[2174],[1952,5947,5949],{"className":5948,"style":5469},[2178],[1952,5950,5951,5954],{"style":5472},[1952,5952],{"className":5953,"style":2187},[2186],[1952,5955,5957],{"className":5956},[2191,2192,2193,2194],[1952,5958,5431],{"className":5959},[5482,2194],[1952,5961,2303],{"className":5962},[2426],[1952,5964,2128],{"className":5965,"style":2161},[1995,1996],[1952,5967,2312],{"className":5968},[2470]," 是原机制的均衡策略，对于任何类型 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\\sigma^*_{-i}(\\theta_{-i})), \\theta_i) \\geq u_i(g(\\sigma_i', \\sigma^*_{-i}(\\theta_{-i})), 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\\sigma^*(\\hat{\\theta}_i)",[1952,6919,6921,6990],{"className":6920,"ariaHidden":1982},[1981],[1952,6922,6924,6927,6981,6984,6987],{"className":6923},[1986],[1952,6925],{"className":6926,"style":6812},[1990],[1952,6928,6930,6933],{"className":6929},[1995],[1952,6931,5428],{"className":6932,"style":5456},[1995,1996],[1952,6934,6936],{"className":6935},[2165],[1952,6937,6939,6973],{"className":6938},[2169,2170],[1952,6940,6942,6970],{"className":6941},[2174],[1952,6943,6945,6956],{"className":6944,"style":6831},[2178],[1952,6946,6947,6950],{"style":6834},[1952,6948],{"className":6949,"style":2187},[2186],[1952,6951,6953],{"className":6952},[2191,2192,2193,2194],[1952,6954,2013],{"className":6955},[1995,1996,2194],[1952,6957,6958,6961],{"style":5472},[1952,6959],{"className":6960,"style":2187},[2186],[1952,6962,6964],{"className":6963},[2191,2192,2193,2194],[1952,6965,6967],{"className":6966},[1995,2194],[1952,6968,6146],{"className":6969},[1995,2194],[1952,6971,2202],{"className":6972},[2201],[1952,6974,6976],{"className":6975},[2174],[1952,6977,6979],{"className":6978,"style":6867},[2178],[1952,6980],{},[1952,6982],{"className":6983,"style":2057},[2056],[1952,6985,2017],{"className":6986},[2061],[1952,6988],{"className":6989,"style":2057},[2056],[1952,6991,6993,6996,7025,7028,7096],{"className":6992},[1986],[1952,6994],{"className":6995,"style":3339},[1990],[1952,6997,6999,7002],{"className":6998},[1995],[1952,7000,5428],{"className":7001,"style":5456},[1995,1996],[1952,7003,7005],{"className":7004},[2165],[1952,7006,7008],{"className":7007},[2169],[1952,7009,7011],{"className":7010},[2174],[1952,7012,7014],{"className":7013,"style":5469},[2178],[1952,7015,7016,7019],{"style":5472},[1952,7017],{"className":7018,"style":2187},[2186],[1952,7020,7022],{"className":7021},[2191,2192,2193,2194],[1952,7023,5431],{"className":7024},[5482,2194],[1952,7026,2303],{"className":7027},[2426],[1952,7029,7031,7062],{"className":7030},[1995],[1952,7032,7034],{"className":7033},[1995,3147],[1952,7035,7037],{"className":7036},[2169],[1952,7038,7040],{"className":7039},[2174],[1952,7041,7043,7051],{"className":7042,"style":3157},[2178],[1952,7044,7045,7048],{"style":3160},[1952,7046],{"className":7047,"style":3164},[2186],[1952,7049,2128],{"className":7050,"style":2161},[1995,1996],[1952,7052,7053,7056],{"style":3170},[1952,7054],{"className":7055,"style":3164},[2186],[1952,7057,7059],{"className":7058,"style":3178},[3177],[1952,7060,3125],{"className":7061},[1995],[1952,7063,7065],{"className":7064},[2165],[1952,7066,7068,7088],{"className":7067},[2169,2170],[1952,7069,7071,7085],{"className":7070},[2174],[1952,7072,7074],{"className":7073,"style":2179},[2178],[1952,7075,7076,7079],{"style":2182},[1952,7077],{"className":7078,"style":2187},[2186],[1952,7080,7082],{"className":7081},[2191,2192,2193,2194],[1952,7083,2013],{"className":7084},[1995,1996,2194],[1952,7086,2202],{"className":7087},[2201],[1952,7089,7091],{"className":7090},[2174],[1952,7092,7094],{"className":7093,"style":2209},[2178],[1952,7095],{},[1952,7097,2312],{"className":7098},[2470],"（模仿类型 ",[1952,7101,7103,7124],{"className":7102},[1955],[1952,7104,7106],{"className":7105},[1959],[1961,7107,7108],{"xmlns":1963},[1965,7109,7110,7122],{},[1968,7111,7112],{},[2124,7113,7114,7120],{},[3119,7115,7116,7118],{"accent":1982},[1971,7117,2128],{},[2015,7119,3125],{},[1971,7121,2013],{},[1975,7123,3130],{"encoding":1977},[1952,7125,7127],{"className":7126,"ariaHidden":1982},[1981],[1952,7128,7130,7133],{"className":7129},[1986],[1952,7131],{"className":7132,"style":3140},[1990],[1952,7134,7136,7167],{"className":7135},[1995],[1952,7137,7139],{"className":7138},[1995,3147],[1952,7140,7142],{"className":7141},[2169],[1952,7143,7145],{"className":7144},[2174],[1952,7146,7148,7156],{"className":7147,"style":3157},[2178],[1952,7149,7150,7153],{"style":3160},[1952,7151],{"className":7152,"style":3164},[2186],[1952,7154,2128],{"className":7155,"style":2161},[1995,1996],[1952,7157,7158,7161],{"style":3170},[1952,7159],{"className":7160,"style":3164},[2186],[1952,7162,7164],{"className":7163,"style":3178},[3177],[1952,7165,3125],{"className":7166},[1995],[1952,7168,7170],{"className":7169},[2165],[1952,7171,7173,7193],{"className":7172},[2169,2170],[1952,7174,7176,7190],{"className":7175},[2174],[1952,7177,7179],{"className":7178,"style":2179},[2178],[1952,7180,7181,7184],{"style":2182},[1952,7182],{"className":7183,"style":2187},[2186],[1952,7185,7187],{"className":7186},[2191,2192,2193,2194],[1952,7188,2013],{"className":7189},[1995,1996,2194],[1952,7191,2202],{"className":7192},[2201],[1952,7194,7196],{"className":7195},[2174],[1952,7197,7199],{"className":7198,"style":2209},[2178],[1952,7200],{}," 的策略）：",[1952,7203,7205],{"className":7204},[3565],[1952,7206,7208,7310],{"className":7207},[1955],[1952,7209,7211],{"className":7210},[1959],[1961,7212,7213],{"xmlns":1963,"display":3574},[1965,7214,7215,7307],{},[1968,7216,7217,7223,7225,7227,7229,7235,7237,7247,7249,7251,7257,7259,7261,7267,7269,7271,7273,7283,7285,7295,7297,7299,7305],{},[2124,7218,7219,7221],{},[1971,7220,2827],{},[1971,7222,2013],{},[2015,7224,2303],{"stretchy":2302},[1971,7226,2707],{},[2015,7228,2303],{"stretchy":2302},[2124,7230,7231,7233],{},[1971,7232,2128],{},[1971,7234,2013],{},[2015,7236,2024],{"separator":1982},[2124,7238,7239,7241],{},[1971,7240,2128],{},[1968,7242,7243,7245],{},[2015,7244,3607],{},[1971,7246,2013],{},[2015,7248,2312],{"stretchy":2302},[2015,7250,2024],{"separator":1982},[2124,7252,7253,7255],{},[1971,7254,2128],{},[1971,7256,2013],{},[2015,7258,2312],{"stretchy":2302},[2015,7260,3624],{},[2124,7262,7263,7265],{},[1971,7264,2827],{},[1971,7266,2013],{},[2015,7268,2303],{"stretchy":2302},[1971,7270,2707],{},[2015,7272,2303],{"stretchy":2302},[2124,7274,7275,7281],{},[3119,7276,7277,7279],{"accent":1982},[1971,7278,2128],{},[2015,7280,3125],{},[1971,7282,2013],{},[2015,7284,2024],{"separator":1982},[2124,7286,7287,7289],{},[1971,7288,2128],{},[1968,7290,7291,7293],{},[2015,7292,3607],{},[1971,7294,2013],{},[2015,7296,2312],{"stretchy":2302},[2015,7298,2024],{"separator":1982},[2124,7300,7301,7303],{},[1971,7302,2128],{},[1971,7304,2013],{},[2015,7306,2312],{"stretchy":2302},[1975,7308,7309],{"encoding":1977},"u_i(f(\\theta_i, \\theta_{-i}), \\theta_i) \\geq u_i(f(\\hat{\\theta}_i, \\theta_{-i}), \\theta_i)",[1952,7311,7313,7521],{"className":7312,"ariaHidden":1982},[1981],[1952,7314,7316,7319,7359,7362,7365,7368,7408,7411,7414,7460,7463,7466,7469,7509,7512,7515,7518],{"className":7315},[1986],[1952,7317],{"className":7318,"style":2380},[1990],[1952,7320,7322,7325],{"className":7321},[1995],[1952,7323,2827],{"className":7324},[1995,1996],[1952,7326,7328],{"className":7327},[2165],[1952,7329,7331,7351],{"className":7330},[2169,2170],[1952,7332,7334,7348],{"className":7333},[2174],[1952,7335,7337],{"className":7336,"style":2179},[2178],[1952,7338,7339,7342],{"style":2248},[1952,7340],{"className":7341,"style":2187},[2186],[1952,7343,7345],{"className":7344},[2191,2192,2193,2194],[1952,7346,2013],{"className":7347},[1995,1996,2194],[1952,7349,2202],{"className":7350},[2201],[1952,7352,7354],{"className":7353},[2174],[1952,7355,7357],{"className":7356,"style":2209},[2178],[1952,7358],{},[1952,7360,2303],{"className":7361},[2426],[1952,7363,2707],{"className":7364,"style":2734},[1995,1996],[1952,7366,2303],{"className":7367},[2426],[1952,7369,7371,7374],{"className":7370},[1995],[1952,7372,2128],{"className":7373,"style":2161},[1995,1996],[1952,7375,7377],{"className":7376},[2165],[1952,7378,7380,7400],{"className":7379},[2169,2170],[1952,7381,7383,7397],{"className":7382},[2174],[1952,7384,7386],{"className":7385,"style":2179},[2178],[1952,7387,7388,7391],{"style":2182},[1952,7389],{"className":7390,"style":2187},[2186],[1952,7392,7394],{"className":7393},[2191,2192,2193,2194],[1952,7395,2013],{"className":7396},[1995,1996,2194],[1952,7398,2202],{"className":7399},[2201],[1952,7401,7403],{"className":7402},[2174],[1952,7404,7406],{"className":7405,"style":2209},[2178],[1952,7407],{},[1952,7409,2024],{"className":7410},[2078],[1952,7412],{"className":7413,"style":2082},[2056],[1952,7415,7417,7420],{"className":7416},[1995],[1952,7418,2128],{"className":7419,"style":2161},[1995,1996],[1952,7421,7423],{"className":7422},[2165],[1952,7424,7426,7452],{"className":7425},[2169,2170],[1952,7427,7429,7449],{"className":7428},[2174],[1952,7430,7432],{"className":7431,"style":2179},[2178],[1952,7433,7434,7437],{"style":2182},[1952,7435],{"className":7436,"style":2187},[2186],[1952,7438,7440],{"className":7439},[2191,2192,2193,2194],[1952,7441,7443,7446],{"className":7442},[1995,2194],[1952,7444,3607],{"className":7445},[1995,2194],[1952,7447,2013],{"className":7448},[1995,1996,2194],[1952,7450,2202],{"className":7451},[2201],[1952,7453,7455],{"className":7454},[2174],[1952,7456,7458],{"className":7457,"style":3858},[2178],[1952,7459],{},[1952,7461,2312],{"className":7462},[2470],[1952,7464,2024],{"className":7465},[2078],[1952,7467],{"className":7468,"style":2082},[2056],[1952,7470,7472,7475],{"className":7471},[1995],[1952,7473,2128],{"className":7474,"style":2161},[1995,1996],[1952,7476,7478],{"className":7477},[2165],[1952,7479,7481,7501],{"className":7480},[2169,2170],[1952,7482,7484,7498],{"className":7483},[2174],[1952,7485,7487],{"className":7486,"style":2179},[2178],[1952,7488,7489,7492],{"style":2182},[1952,7490],{"className":7491,"style":2187},[2186],[1952,7493,7495],{"className":7494},[2191,2192,2193,2194],[1952,7496,2013],{"className":7497},[1995,1996,2194],[1952,7499,2202],{"className":7500},[2201],[1952,7502,7504],{"className":7503},[2174],[1952,7505,7507],{"className":7506,"style":2209},[2178],[1952,7508],{},[1952,7510,2312],{"className":7511},[2470],[1952,7513],{"className":7514,"style":2057},[2056],[1952,7516,3624],{"className":7517},[2061],[1952,7519],{"className":7520,"style":2057},[2056],[1952,7522,7524,7527,7567,7570,7573,7576,7644,7647,7650,7696,7699,7702,7705,7745],{"className":7523},[1986],[1952,7525],{"className":7526,"style":3339},[1990],[1952,7528,7530,7533],{"className":7529},[1995],[1952,7531,2827],{"className":7532},[1995,1996],[1952,7534,7536],{"className":7535},[2165],[1952,7537,7539,7559],{"className":7538},[2169,2170],[1952,7540,7542,7556],{"className":7541},[2174],[1952,7543,7545],{"className":7544,"style":2179},[2178],[1952,7546,7547,7550],{"style":2248},[1952,7548],{"className":7549,"style":2187},[2186],[1952,7551,7553],{"className":7552},[2191,2192,2193,2194],[1952,7554,2013],{"className":7555},[1995,1996,2194],[1952,7557,2202],{"className":7558},[2201],[1952,7560,7562],{"className":7561},[2174],[1952,7563,7565],{"className":7564,"style":2209},[2178],[1952,7566],{},[1952,7568,2303],{"className":7569},[2426],[1952,7571,2707],{"className":7572,"style":2734},[1995,1996],[1952,7574,2303],{"className":7575},[2426],[1952,7577,7579,7610],{"className":7578},[1995],[1952,7580,7582],{"className":7581},[1995,3147],[1952,7583,7585],{"className":7584},[2169],[1952,7586,7588],{"className":7587},[2174],[1952,7589,7591,7599],{"className":7590,"style":3157},[2178],[1952,7592,7593,7596],{"style":3160},[1952,7594],{"className":7595,"style":3164},[2186],[1952,7597,2128],{"className":7598,"style":2161},[1995,1996],[1952,7600,7601,7604],{"style":3170},[1952,7602],{"className":7603,"style":3164},[2186],[1952,7605,7607],{"className":7606,"style":3178},[3177],[1952,7608,3125],{"className":7609},[1995],[1952,7611,7613],{"className":7612},[2165],[1952,7614,7616,7636],{"className":7615},[2169,2170],[1952,7617,7619,7633],{"className":7618},[2174],[1952,7620,7622],{"className":7621,"style":2179},[2178],[1952,7623,7624,7627],{"style":2182},[1952,7625],{"className":7626,"style":2187},[2186],[1952,7628,7630],{"className":7629},[2191,2192,2193,2194],[1952,7631,2013],{"className":7632},[1995,1996,2194],[1952,7634,2202],{"className":7635},[2201],[1952,7637,7639],{"className":7638},[2174],[1952,7640,7642],{"className":7641,"style":2209},[2178],[1952,7643],{},[1952,7645,2024],{"className":7646},[2078],[1952,7648],{"className":7649,"style":2082},[2056],[1952,7651,7653,7656],{"className":7652},[1995],[1952,7654,2128],{"className":7655,"style":2161},[1995,1996],[1952,7657,7659],{"className":7658},[2165],[1952,7660,7662,7688],{"className":7661},[2169,2170],[1952,7663,7665,7685],{"className":7664},[2174],[1952,7666,7668],{"className":7667,"style":2179},[2178],[1952,7669,7670,7673],{"style":2182},[1952,7671],{"className":7672,"style":2187},[2186],[1952,7674,7676],{"className":7675},[2191,2192,2193,2194],[1952,7677,7679,7682],{"className":7678},[1995,2194],[1952,7680,3607],{"className":7681},[1995,2194],[1952,7683,2013],{"className":7684},[1995,1996,2194],[1952,7686,2202],{"className":7687},[2201],[1952,7689,7691],{"className":7690},[2174],[1952,7692,7694],{"className":7693,"style":3858},[2178],[1952,7695],{},[1952,7697,2312],{"className":7698},[2470],[1952,7700,2024],{"className":7701},[2078],[1952,7703],{"className":7704,"style":2082},[2056],[1952,7706,7708,7711],{"className":7707},[1995],[1952,7709,2128],{"className":7710,"style":2161},[1995,1996],[1952,7712,7714],{"className":7713},[2165],[1952,7715,7717,7737],{"className":7716},[2169,2170],[1952,7718,7720,7734],{"className":7719},[2174],[1952,7721,7723],{"className":7722,"style":2179},[2178],[1952,7724,7725,7728],{"style":2182},[1952,7726],{"className":7727,"style":2187},[2186],[1952,7729,7731],{"className":7730},[2191,2192,2193,2194],[1952,7732,2013],{"className":7733},[1995,1996,2194],[1952,7735,2202],{"className":7736},[2201],[1952,7738,7740],{"className":7739},[2174],[1952,7741,7743],{"className":7742,"style":2209},[2178],[1952,7744],{},[1952,7746,2312],{"className":7747},[2470],[1798,7749,7750],{},"因此，在直接机制中，真实报告是最优的。",[1866,7752,7754],{"id":7753},"_23-应用价值","2.3 应用价值",[1798,7756,7757],{},"显示原理极大地简化了机制设计问题：",[1805,7759,7760,7766],{},[1808,7761,7762,7765],{},[1850,7763,7764],{},"之前","：需要考虑所有可能的机制和均衡",[1808,7767,7768,7771],{},[1850,7769,7770],{},"之后","：只需考虑IC约束下的直接机制",[1798,7773,7774,7775,1946],{},"这使得机制设计问题变成了一个",[1850,7776,7777],{},"约束优化问题",[1952,7779,7781],{"className":7780},[3565],[1952,7782,7784,7819],{"className":7783},[1955],[1952,7785,7787],{"className":7786},[1959],[1961,7788,7789],{"xmlns":1963,"display":3574},[1965,7790,7791,7816],{},[1968,7792,7793,7806,7810,7812,7814],{},[7794,7795,7796,7804],"munder",{},[1968,7797,7798,7801],{},[1971,7799,7800],{},"max",[2015,7802,7803],{},"⁡",[1971,7805,2707],{},[7807,7808,7809],"mtext",{},"目标函数",[2015,7811,2303],{"stretchy":2302},[1971,7813,2707],{},[2015,7815,2312],{"stretchy":2302},[1975,7817,7818],{"encoding":1977},"\\max_{f} \\text{目标函数}(f)",[1952,7820,7822],{"className":7821,"ariaHidden":1982},[1981],[1952,7823,7825,7829,7880,7883,7891,7894,7897],{"className":7824},[1986],[1952,7826],{"className":7827,"style":7828},[1990],"height:1.6382em;vertical-align:-0.8882em;",[1952,7830,7834],{"className":7831},[7832,7833],"mop","op-limits",[1952,7835,7837,7871],{"className":7836},[2169,2170],[1952,7838,7840,7868],{"className":7839},[2174],[1952,7841,7843,7858],{"className":7842,"style":2980},[2178],[1952,7844,7846,7849],{"style":7845},"top:-2.3479em;margin-left:0em;",[1952,7847],{"className":7848,"style":3164},[2186],[1952,7850,7852],{"className":7851},[2191,2192,2193,2194],[1952,7853,7855],{"className":7854},[1995,2194],[1952,7856,2707],{"className":7857,"style":2734},[1995,1996,2194],[1952,7859,7860,7863],{"style":3160},[1952,7861],{"className":7862,"style":3164},[2186],[1952,7864,7865],{},[1952,7866,7800],{"className":7867},[7832],[1952,7869,2202],{"className":7870},[2201],[1952,7872,7874],{"className":7873},[2174],[1952,7875,7878],{"className":7876,"style":7877},[2178],"height:0.8882em;",[1952,7879],{},[1952,7881],{"className":7882,"style":2082},[2056],[1952,7884,7887],{"className":7885},[1995,7886],"text",[1952,7888,7809],{"className":7889},[1995,7890],"cjk_fallback",[1952,7892,2303],{"className":7893},[2426],[1952,7895,2707],{"className":7896,"style":2734},[1995,1996],[1952,7898,2312],{"className":7899},[2470],[1952,7901,7903],{"className":7902},[3565],[1952,7904,7906,7921],{"className":7905},[1955],[1952,7907,7909],{"className":7908},[1959],[1961,7910,7911],{"xmlns":1963,"display":3574},[1965,7912,7913,7918],{},[1968,7914,7915],{},[7807,7916,7917],{},"s.t. IC和PC约束",[1975,7919,7920],{"encoding":1977},"\\text{s.t. IC和PC约束}",[1952,7922,7924],{"className":7923,"ariaHidden":1982},[1981],[1952,7925,7927,7930],{"className":7926},[1986],[1952,7928],{"className":7929,"style":1991},[1990],[1952,7931,7933,7937,7941,7945],{"className":7932},[1995,7886],[1952,7934,7936],{"className":7935},[1995],"s.t. IC",[1952,7938,7940],{"className":7939},[1995,7890],"和",[1952,7942,7944],{"className":7943},[1995],"PC",[1952,7946,7948],{"className":7947},[1995,7890],"约束",[1794,7950,7952],{"id":7951},"三vickrey-clarke-groves-vcg-机制","三、Vickrey-Clarke-Groves (VCG) 机制",[1866,7954,7956],{"id":7955},"_31-单物品拍卖vickrey拍卖","3.1 单物品拍卖：Vickrey拍卖",[1798,7958,7959,7962,7963,7991,7992,8061],{},[1850,7960,7961],{},"问题","：一个不可分物品，",[1952,7964,7966,7979],{"className":7965},[1955],[1952,7967,7969],{"className":7968},[1959],[1961,7970,7971],{"xmlns":1963},[1965,7972,7973,7977],{},[1968,7974,7975],{},[1971,7976,1973],{},[1975,7978,1973],{"encoding":1977},[1952,7980,7982],{"className":7981,"ariaHidden":1982},[1981],[1952,7983,7985,7988],{"className":7984},[1986],[1952,7986],{"className":7987,"style":1991},[1990],[1952,7989,1973],{"className":7990,"style":1997},[1995,1996]," 个潜在买家，每个买家对物品的估值 ",[1952,7993,7995,8012],{"className":7994},[1955],[1952,7996,7998],{"className":7997},[1959],[1961,7999,8000],{"xmlns":1963},[1965,8001,8002,8010],{},[1968,8003,8004],{},[2124,8005,8006,8008],{},[1971,8007,2128],{},[1971,8009,2013],{},[1975,8011,3005],{"encoding":1977},[1952,8013,8015],{"className":8014,"ariaHidden":1982},[1981],[1952,8016,8018,8021],{"className":8017},[1986],[1952,8019],{"className":8020,"style":2154},[1990],[1952,8022,8024,8027],{"className":8023},[1995],[1952,8025,2128],{"className":8026,"style":2161},[1995,1996],[1952,8028,8030],{"className":8029},[2165],[1952,8031,8033,8053],{"className":8032},[2169,2170],[1952,8034,8036,8050],{"className":8035},[2174],[1952,8037,8039],{"className":8038,"style":2179},[2178],[1952,8040,8041,8044],{"style":2182},[1952,8042],{"className":8043,"style":2187},[2186],[1952,8045,8047],{"className":8046},[2191,2192,2193,2194],[1952,8048,2013],{"className":8049},[1995,1996,2194],[1952,8051,2202],{"className":8052},[2201],[1952,8054,8056],{"className":8055},[2174],[1952,8057,8059],{"className":8058,"style":2209},[2178],[1952,8060],{}," 是私人信息。",[1798,8063,8064,8066],{},[1850,8065,3059],{},"：效率配置（物品给估值最高者）",[1798,8068,8069,1946],{},[1850,8070,8071],{},"Vickrey拍卖（二级价格密封拍卖）",[1877,8073,8074,8146,8149],{},[1808,8075,8076,8077],{},"每个买家密封出价 ",[1952,8078,8080,8097],{"className":8079},[1955],[1952,8081,8083],{"className":8082},[1959],[1961,8084,8085],{"xmlns":1963},[1965,8086,8087,8095],{},[1968,8088,8089],{},[2124,8090,8091,8093],{},[1971,8092,3489],{},[1971,8094,2013],{},[1975,8096,3494],{"encoding":1977},[1952,8098,8100],{"className":8099,"ariaHidden":1982},[1981],[1952,8101,8103,8106],{"className":8102},[1986],[1952,8104],{"className":8105,"style":2154},[1990],[1952,8107,8109,8112],{"className":8108},[1995],[1952,8110,3489],{"className":8111},[1995,1996],[1952,8113,8115],{"className":8114},[2165],[1952,8116,8118,8138],{"className":8117},[2169,2170],[1952,8119,8121,8135],{"className":8120},[2174],[1952,8122,8124],{"className":8123,"style":2179},[2178],[1952,8125,8126,8129],{"style":2248},[1952,8127],{"className":8128,"style":2187},[2186],[1952,8130,8132],{"className":8131},[2191,2192,2193,2194],[1952,8133,2013],{"className":8134},[1995,1996,2194],[1952,8136,2202],{"className":8137},[2201],[1952,8139,8141],{"className":8140},[2174],[1952,8142,8144],{"className":8143,"style":2209},[2178],[1952,8145],{},[1808,8147,8148],{},"最高出价者获得物品",[1808,8150,8151,8152,8155],{},"支付",[1850,8153,8154],{},"第二高","的出价",[1798,8157,8158,8161,8162,8295],{},[1850,8159,8160],{},"定理","：在Vickrey拍卖中，",[1952,8163,8165,8191],{"className":8164},[1955],[1952,8166,8168],{"className":8167},[1959],[1961,8169,8170],{"xmlns":1963},[1965,8171,8172,8188],{},[1968,8173,8174,8180,8182],{},[2124,8175,8176,8178],{},[1971,8177,3489],{},[1971,8179,2013],{},[2015,8181,2017],{},[2124,8183,8184,8186],{},[1971,8185,2128],{},[1971,8187,2013],{},[1975,8189,8190],{"encoding":1977},"b_i = \\theta_i",[1952,8192,8194,8249],{"className":8193,"ariaHidden":1982},[1981],[1952,8195,8197,8200,8240,8243,8246],{"className":8196},[1986],[1952,8198],{"className":8199,"style":2154},[1990],[1952,8201,8203,8206],{"className":8202},[1995],[1952,8204,3489],{"className":8205},[1995,1996],[1952,8207,8209],{"className":8208},[2165],[1952,8210,8212,8232],{"className":8211},[2169,2170],[1952,8213,8215,8229],{"className":8214},[2174],[1952,8216,8218],{"className":8217,"style":2179},[2178],[1952,8219,8220,8223],{"style":2248},[1952,8221],{"className":8222,"style":2187},[2186],[1952,8224,8226],{"className":8225},[2191,2192,2193,2194],[1952,8227,2013],{"className":8228},[1995,1996,2194],[1952,8230,2202],{"className":8231},[2201],[1952,8233,8235],{"className":8234},[2174],[1952,8236,8238],{"className":8237,"style":2209},[2178],[1952,8239],{},[1952,8241],{"className":8242,"style":2057},[2056],[1952,8244,2017],{"className":8245},[2061],[1952,8247],{"className":8248,"style":2057},[2056],[1952,8250,8252,8255],{"className":8251},[1986],[1952,8253],{"className":8254,"style":2154},[1990],[1952,8256,8258,8261],{"className":8257},[1995],[1952,8259,2128],{"className":8260,"style":2161},[1995,1996],[1952,8262,8264],{"className":8263},[2165],[1952,8265,8267,8287],{"className":8266},[2169,2170],[1952,8268,8270,8284],{"className":8269},[2174],[1952,8271,8273],{"className":8272,"style":2179},[2178],[1952,8274,8275,8278],{"style":2182},[1952,8276],{"className":8277,"style":2187},[2186],[1952,8279,8281],{"className":8280},[2191,2192,2193,2194],[1952,8282,2013],{"className":8283},[1995,1996,2194],[1952,8285,2202],{"className":8286},[2201],[1952,8288,8290],{"className":8289},[2174],[1952,8291,8293],{"className":8292,"style":2209},[2178],[1952,8294],{},"（真实出价）是优势策略。",[1798,8297,8298,1946],{},[1850,8299,8300],{},"证明",[1798,8302,8303,8304,8332,8333,8402,8403,3089],{},"考虑买家 ",[1952,8305,8307,8320],{"className":8306},[1955],[1952,8308,8310],{"className":8309},[1959],[1961,8311,8312],{"xmlns":1963},[1965,8313,8314,8318],{},[1968,8315,8316],{},[1971,8317,2013],{},[1975,8319,2013],{"encoding":1977},[1952,8321,8323],{"className":8322,"ariaHidden":1982},[1981],[1952,8324,8326,8329],{"className":8325},[1986],[1952,8327],{"className":8328,"style":2049},[1990],[1952,8330,2013],{"className":8331},[1995,1996],"，估值 ",[1952,8334,8336,8353],{"className":8335},[1955],[1952,8337,8339],{"className":8338},[1959],[1961,8340,8341],{"xmlns":1963},[1965,8342,8343,8351],{},[1968,8344,8345],{},[2124,8346,8347,8349],{},[1971,8348,2128],{},[1971,8350,2013],{},[1975,8352,3005],{"encoding":1977},[1952,8354,8356],{"className":8355,"ariaHidden":1982},[1981],[1952,8357,8359,8362],{"className":8358},[1986],[1952,8360],{"className":8361,"style":2154},[1990],[1952,8363,8365,8368],{"className":8364},[1995],[1952,8366,2128],{"className":8367,"style":2161},[1995,1996],[1952,8369,8371],{"className":8370},[2165],[1952,8372,8374,8394],{"className":8373},[2169,2170],[1952,8375,8377,8391],{"className":8376},[2174],[1952,8378,8380],{"className":8379,"style":2179},[2178],[1952,8381,8382,8385],{"style":2182},[1952,8383],{"className":8384,"style":2187},[2186],[1952,8386,8388],{"className":8387},[2191,2192,2193,2194],[1952,8389,2013],{"className":8390},[1995,1996,2194],[1952,8392,2202],{"className":8393},[2201],[1952,8395,8397],{"className":8396},[2174],[1952,8398,8400],{"className":8399,"style":2209},[2178],[1952,8401],{},"，其他人最高出价为 ",[1952,8404,8406,8450],{"className":8405},[1955],[1952,8407,8409],{"className":8408},[1959],[1961,8410,8411],{"xmlns":1963},[1965,8412,8413,8447],{},[1968,8414,8415,8421,8423,8441],{},[5424,8416,8417,8419],{},[1971,8418,3489],{},[2015,8420,5431],{},[2015,8422,2017],{},[2124,8424,8425,8431],{},[1968,8426,8427,8429],{},[1971,8428,7800],{},[2015,8430,7803],{},[1968,8432,8433,8436,8439],{},[1971,8434,8435],{},"j",[2015,8437,8438],{"mathvariant":2138},"≠",[1971,8440,2013],{},[2124,8442,8443,8445],{},[1971,8444,3489],{},[1971,8446,8435],{},[1975,8448,8449],{"encoding":1977},"b^* = \\max_{j \\neq i} b_j",[1952,8451,8453,8497],{"className":8452,"ariaHidden":1982},[1981],[1952,8454,8456,8459,8488,8491,8494],{"className":8455},[1986],[1952,8457],{"className":8458,"style":2524},[1990],[1952,8460,8462,8465],{"className":8461},[1995],[1952,8463,3489],{"className":8464},[1995,1996],[1952,8466,8468],{"className":8467},[2165],[1952,8469,8471],{"className":8470},[2169],[1952,8472,8474],{"className":8473},[2174],[1952,8475,8477],{"className":8476,"style":5469},[2178],[1952,8478,8479,8482],{"style":5472},[1952,8480],{"className":8481,"style":2187},[2186],[1952,8483,8485],{"className":8484},[2191,2192,2193,2194],[1952,8486,5431],{"className":8487},[5482,2194],[1952,8489],{"className":8490,"style":2057},[2056],[1952,8492,2017],{"className":8493},[2061],[1952,8495],{"className":8496,"style":2057},[2056],[1952,8498,8500,8504,8597,8600],{"className":8499},[1986],[1952,8501],{"className":8502,"style":8503},[1990],"height:0.9805em;vertical-align:-0.2861em;",[1952,8505,8507,8510],{"className":8506},[7832],[1952,8508,7800],{"className":8509},[7832],[1952,8511,8513],{"className":8512},[2165],[1952,8514,8516,8588],{"className":8515},[2169,2170],[1952,8517,8519,8585],{"className":8518},[2174],[1952,8520,8523],{"className":8521,"style":8522},[2178],"height:0.3361em;",[1952,8524,8526,8529],{"style":8525},"top:-2.55em;margin-right:0.05em;",[1952,8527],{"className":8528,"style":2187},[2186],[1952,8530,8532],{"className":8531},[2191,2192,2193,2194],[1952,8533,8535,8539,8582],{"className":8534},[1995,2194],[1952,8536,8435],{"className":8537,"style":8538},[1995,1996,2194],"margin-right:0.0572em;",[1952,8540,8542,8575,8579],{"className":8541},[2061,2194],[1952,8543,8545],{"className":8544},[2061,2194],[1952,8546,8549],{"className":8547},[1995,8548,2194],"vbox",[1952,8550,8553],{"className":8551},[8552,2194],"thinbox",[1952,8554,8557,8560,8571],{"className":8555},[8556,2194],"rlap",[1952,8558],{"className":8559,"style":2730},[1990],[1952,8561,8564],{"className":8562},[8563],"inner",[1952,8565,8567],{"className":8566},[1995,2194],[1952,8568,8570],{"className":8569},[2061,2194],"",[1952,8572],{"className":8573},[8574],"fix",[1952,8576],{"className":8577},[2056,8578,2194],"nobreak",[1952,8580,2017],{"className":8581},[2061,2194],[1952,8583,2013],{"className":8584},[1995,1996,2194],[1952,8586,2202],{"className":8587},[2201],[1952,8589,8591],{"className":8590},[2174],[1952,8592,8595],{"className":8593,"style":8594},[2178],"height:0.2861em;",[1952,8596],{},[1952,8598],{"className":8599,"style":2082},[2056],[1952,8601,8603,8606],{"className":8602},[1995],[1952,8604,3489],{"className":8605},[1995,1996],[1952,8607,8609],{"className":8608},[2165],[1952,8610,8612,8632],{"className":8611},[2169,2170],[1952,8613,8615,8629],{"className":8614},[2174],[1952,8616,8618],{"className":8617,"style":2179},[2178],[1952,8619,8620,8623],{"style":2248},[1952,8621],{"className":8622,"style":2187},[2186],[1952,8624,8626],{"className":8625},[2191,2192,2193,2194],[1952,8627,8435],{"className":8628,"style":8538},[1995,1996,2194],[1952,8630,2202],{"className":8631},[2201],[1952,8633,8635],{"className":8634},[2174],[1952,8636,8638],{"className":8637,"style":8594},[2178],[1952,8639],{},[1798,8641,8642,1946,8645,8768,8769,8797],{},[1850,8643,8644],{},"情形1",[1952,8646,8648,8675],{"className":8647},[1955],[1952,8649,8651],{"className":8650},[1959],[1961,8652,8653],{"xmlns":1963},[1965,8654,8655,8672],{},[1968,8656,8657,8663,8666],{},[2124,8658,8659,8661],{},[1971,8660,3489],{},[1971,8662,2013],{},[2015,8664,8665],{},">",[5424,8667,8668,8670],{},[1971,8669,3489],{},[2015,8671,5431],{},[1975,8673,8674],{"encoding":1977},"b_i > 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获胜）",[1805,8799,8800],{},[1808,8801,8802,8803],{},"效用：",[1952,8804,8806,8840],{"className":8805},[1955],[1952,8807,8809],{"className":8808},[1959],[1961,8810,8811],{"xmlns":1963},[1965,8812,8813,8837],{},[1968,8814,8815,8821,8823,8829,8831],{},[2124,8816,8817,8819],{},[1971,8818,2827],{},[1971,8820,2013],{},[2015,8822,2017],{},[2124,8824,8825,8827],{},[1971,8826,2128],{},[1971,8828,2013],{},[2015,8830,3607],{},[5424,8832,8833,8835],{},[1971,8834,3489],{},[2015,8836,5431],{},[1975,8838,8839],{"encoding":1977},"u_i = \\theta_i - 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失败）",[1805,9148,9149],{},[1808,9150,8802,9151],{},[1952,9152,9154,9177],{"className":9153},[1955],[1952,9155,9157],{"className":9156},[1959],[1961,9158,9159],{"xmlns":1963},[1965,9160,9161,9174],{},[1968,9162,9163,9169,9171],{},[2124,9164,9165,9167],{},[1971,9166,2827],{},[1971,9168,2013],{},[2015,9170,2017],{},[2019,9172,9173],{},"0",[1975,9175,9176],{"encoding":1977},"u_i = 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获得效用 ",[1952,9662,9664,9694],{"className":9663},[1955],[1952,9665,9667],{"className":9666},[1959],[1961,9668,9669],{"xmlns":1963},[1965,9670,9671,9691],{},[1968,9672,9673,9679,9681,9687,9689],{},[2124,9674,9675,9677],{},[1971,9676,2128],{},[1971,9678,2013],{},[2015,9680,3607],{},[5424,9682,9683,9685],{},[1971,9684,3489],{},[2015,9686,5431],{},[2015,9688,8665],{},[2019,9690,9173],{},[1975,9692,9693],{"encoding":1977},"\\theta_i - b^* > 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可行",[1808,10219,10220,1946,10344],{},[1850,10221,9411,10222],{},[1952,10223,10225,10251],{"className":10224},[1955],[1952,10226,10228],{"className":10227},[1959],[1961,10229,10230],{"xmlns":1963},[1965,10231,10232,10248],{},[1968,10233,10234,10240,10242],{},[2124,10235,10236,10238],{},[1971,10237,2128],{},[1971,10239,2013],{},[2015,10241,9015],{},[5424,10243,10244,10246],{},[1971,10245,3489],{},[2015,10247,5431],{},[1975,10249,10250],{"encoding":1977},"\\theta_i \u003C b^*",[1952,10252,10254,10309],{"className":10253,"ariaHidden":1982},[1981],[1952,10255,10257,10260,10300,10303,10306],{"className":10256},[1986],[1952,10258],{"className":10259,"style":2154},[1990],[1952,10261,10263,10266],{"className":10262},[1995],[1952,10264,2128],{"className":10265,"style":2161},[1995,1996],[1952,10267,10269],{"className":10268},[2165],[1952,10270,10272,10292],{"className":10271},[2169,2170],[1952,10273,10275,10289],{"className":10274},[2174],[1952,10276,10278],{"className":10277,"style":2179},[2178],[1952,10279,10280,10283],{"style":2182},[1952,10281],{"className":10282,"style":2187},[2186],[1952,10284,10286],{"className":10285},[2191,2192,2193,2194],[1952,10287,2013],{"className":10288},[1995,1996,2194],[1952,10290,2202],{"className":10291},[2201],[1952,10293,10295],{"className":10294},[2174],[1952,10296,10298],{"className":10297,"style":2209},[2178],[1952,10299],{},[1952,10301],{"className":10302,"style":2057},[2056],[1952,10304,9015],{"className":10305},[2061],[1952,10307],{"className":10308,"style":2057},[2056],[1952,10310,10312,10315],{"className":10311},[1986],[1952,10313],{"className":10314,"style":2524},[1990],[1952,10316,10318,10321],{"className":10317},[1995],[1952,10319,3489],{"className":10320},[1995,1996],[1952,10322,10324],{"className":10323},[2165],[1952,10325,10327],{"className":10326},[2169],[1952,10328,10330],{"className":10329},[2174],[1952,10331,10333],{"className":10332,"style":5469},[2178],[1952,10334,10335,10338],{"style":5472},[1952,10336],{"className":10337,"style":2187},[2186],[1952,10339,10341],{"className":10340},[2191,2192,2193,2194],[1952,10342,5431],{"className":10343},[5482,2194],[1805,10345,10346,10614,10765],{},[1808,10347,9538,10348,9660,10469,10613],{},[1952,10349,10351,10376],{"className":10350},[1955],[1952,10352,10354],{"className":10353},[1959],[1961,10355,10356],{"xmlns":1963},[1965,10357,10358,10374],{},[1968,10359,10360,10366,10368],{},[2124,10361,10362,10364],{},[1971,10363,3489],{},[1971,10365,2013],{},[2015,10367,8665],{},[5424,10369,10370,10372],{},[1971,10371,3489],{},[2015,10373,5431],{},[1975,10375,8674],{"encoding":1977},[1952,10377,10379,10434],{"className":10378,"ariaHidden":1982},[1981],[1952,10380,10382,10385,10425,10428,10431],{"className":10381},[1986],[1952,10383],{"className":10384,"style":2154},[1990],[1952,10386,10388,10391],{"className":10387},[1995],[1952,10389,3489],{"className":10390},[1995,1996],[1952,10392,10394],{"className":10393},[2165],[1952,10395,10397,10417],{"className":10396},[2169,2170],[1952,10398,10400,10414],{"className":10399},[2174],[1952,10401,10403],{"className":10402,"style":2179},[2178],[1952,10404,10405,10408],{"style":2248},[1952,10406],{"className":10407,"style":2187},[2186],[1952,10409,10411],{"className":10410},[2191,2192,2193,2194],[1952,10412,2013],{"className":10413},[1995,1996,2194],[1952,10415,2202],{"className":10416},[2201],[1952,10418,10420],{"className":10419},[2174],[1952,10421,10423],{"className":10422,"style":2209},[2178],[1952,10424],{},[1952,10426],{"className":10427,"style":2057},[2056],[1952,10429,8665],{"className":10430},[2061],[1952,10432],{"className":10433,"style":2057},[2056],[1952,10435,10437,10440],{"className":10436},[1986],[1952,10438],{"className":10439,"style":2524},[1990],[1952,10441,10443,10446],{"className":10442},[1995],[1952,10444,3489],{"className":10445},[1995,1996],[1952,10447,10449],{"className":10448},[2165],[1952,10450,10452],{"className":10451},[2169],[1952,10453,10455],{"className":10454},[2174],[1952,10456,10458],{"className":10457,"style":5469},[2178],[1952,10459,10460,10463],{"style":5472},[1952,10461],{"className":10462,"style":2187},[2186],[1952,10464,10466],{"className":10465},[2191,2192,2193,2194],[1952,10467,5431],{"className":10468},[5482,2194],[1952,10470,10472,10502],{"className":10471},[1955],[1952,10473,10475],{"className":10474},[1959],[1961,10476,10477],{"xmlns":1963},[1965,10478,10479,10499],{},[1968,10480,10481,10487,10489,10495,10497],{},[2124,10482,10483,10485],{},[1971,10484,2128],{},[1971,10486,2013],{},[2015,10488,3607],{},[5424,10490,10491,10493],{},[1971,10492,3489],{},[2015,10494,5431],{},[2015,10496,9015],{},[2019,10498,9173],{},[1975,10500,10501],{"encoding":1977},"\\theta_i - b^* \u003C 0",[1952,10503,10505,10560,10604],{"className":10504,"ariaHidden":1982},[1981],[1952,10506,10508,10511,10551,10554,10557],{"className":10507},[1986],[1952,10509],{"className":10510,"style":2154},[1990],[1952,10512,10514,10517],{"className":10513},[1995],[1952,10515,2128],{"className":10516,"style":2161},[1995,1996],[1952,10518,10520],{"className":10519},[2165],[1952,10521,10523,10543],{"className":10522},[2169,2170],[1952,10524,10526,10540],{"className":10525},[2174],[1952,10527,10529],{"className":10528,"style":2179},[2178],[1952,10530,10531,10534],{"style":2182},[1952,10532],{"className":10533,"style":2187},[2186],[1952,10535,10537],{"className":10536},[2191,2192,2193,2194],[1952,10538,2013],{"className":10539},[1995,1996,2194],[1952,10541,2202],{"className":10542},[2201],[1952,10544,10546],{"className":10545},[2174],[1952,10547,10549],{"className":10548,"style":2209},[2178],[1952,10550],{},[1952,10552],{"className":10553,"style":8948},[2056],[1952,10555,3607],{"className":10556},[5482],[1952,10558],{"className":10559,"style":8948},[2056],[1952,10561,10563,10566,10595,10598,10601],{"className":10562},[1986],[1952,10564],{"className":10565,"style":9758},[1990],[1952,10567,10569,10572],{"className":10568},[1995],[1952,10570,3489],{"className":10571},[1995,1996],[1952,10573,10575],{"className":10574},[2165],[1952,10576,10578],{"className":10577},[2169],[1952,10579,10581],{"className":10580},[2174],[1952,10582,10584],{"className":10583,"style":5469},[2178],[1952,10585,10586,10589],{"style":5472},[1952,10587],{"className":10588,"style":2187},[2186],[1952,10590,10592],{"className":10591},[2191,2192,2193,2194],[1952,10593,5431],{"className":10594},[5482,2194],[1952,10596],{"className":10597,"style":2057},[2056],[1952,10599,9015],{"className":10600},[2061],[1952,10602],{"className":10603,"style":2057},[2056],[1952,10605,10607,10610],{"className":10606},[1986],[1952,10608],{"className":10609,"style":9241},[1990],[1952,10611,9173],{"className":10612},[1995],"（亏损）",[1808,10615,9538,10616,9660,10737],{},[1952,10617,10619,10644],{"className":10618},[1955],[1952,10620,10622],{"className":10621},[1959],[1961,10623,10624],{"xmlns":1963},[1965,10625,10626,10642],{},[1968,10627,10628,10634,10636],{},[2124,10629,10630,10632],{},[1971,10631,3489],{},[1971,10633,2013],{},[2015,10635,9015],{},[5424,10637,10638,10640],{},[1971,10639,3489],{},[2015,10641,5431],{},[1975,10643,9024],{"encoding":1977},[1952,10645,10647,10702],{"className":10646,"ariaHidden":1982},[1981],[1952,10648,10650,10653,10693,10696,10699],{"className":10649},[1986],[1952,10651],{"className":10652,"style":2154},[1990],[1952,10654,10656,10659],{"className":10655},[1995],[1952,10657,3489],{"className":10658},[1995,1996],[1952,10660,10662],{"className":10661},[2165],[1952,10663,10665,10685],{"className":10664},[2169,2170],[1952,10666,10668,10682],{"className":10667},[2174],[1952,10669,10671],{"className":10670,"style":2179},[2178],[1952,10672,10673,10676],{"style":2248},[1952,10674],{"className":10675,"style":2187},[2186],[1952,10677,10679],{"className":10678},[2191,2192,2193,2194],[1952,10680,2013],{"className":10681},[1995,1996,2194],[1952,10683,2202],{"className":10684},[2201],[1952,10686,10688],{"className":10687},[2174],[1952,10689,10691],{"className":10690,"style":2209},[2178],[1952,10692],{},[1952,10694],{"className":10695,"style":2057},[2056],[1952,10697,9015],{"className":10698},[2061],[1952,10700],{"className":10701,"style":2057},[2056],[1952,10703,10705,10708],{"className":10704},[1986],[1952,10706],{"className":10707,"style":2524},[1990],[1952,10709,10711,10714],{"className":10710},[1995],[1952,10712,3489],{"className":10713},[1995,1996],[1952,10715,10717],{"className":10716},[2165],[1952,10718,10720],{"className":10719},[2169],[1952,10721,10723],{"className":10722},[2174],[1952,10724,10726],{"className":10725,"style":5469},[2178],[1952,10727,10728,10731],{"style":5472},[1952,10729],{"className":10730,"style":2187},[2186],[1952,10732,10734],{"className":10733},[2191,2192,2193,2194],[1952,10735,5431],{"className":10736},[5482,2194],[1952,10738,10740,10753],{"className":10739},[1955],[1952,10741,10743],{"className":10742},[1959],[1961,10744,10745],{"xmlns":1963},[1965,10746,10747,10751],{},[1968,10748,10749],{},[2019,10750,9173],{},[1975,10752,9173],{"encoding":1977},[1952,10754,10756],{"className":10755,"ariaHidden":1982},[1981],[1952,10757,10759,10762],{"className":10758},[1986],[1952,10760],{"className":10761,"style":9241},[1990],[1952,10763,9173],{"className":10764},[1995],[1808,10766,9959,10767,10081,10888],{},[1952,10768,10770,10795],{"className":10769},[1955],[1952,10771,10773],{"className":10772},[1959],[1961,10774,10775],{"xmlns":1963},[1965,10776,10777,10793],{},[1968,10778,10779,10785,10787],{},[2124,10780,10781,10783],{},[1971,10782,3489],{},[1971,10784,2013],{},[2015,10786,9015],{},[5424,10788,10789,10791],{},[1971,10790,3489],{},[2015,10792,5431],{},[1975,10794,9024],{"encoding":1977},[1952,10796,10798,10853],{"className":10797,"ariaHidden":1982},[1981],[1952,10799,10801,10804,10844,10847,10850],{"className":10800},[1986],[1952,10802],{"className":10803,"style":2154},[1990],[1952,10805,10807,10810],{"className":10806},[1995],[1952,10808,3489],{"className":10809},[1995,1996],[1952,10811,10813],{"className":10812},[2165],[1952,10814,10816,10836],{"className":10815},[2169,2170],[1952,10817,10819,10833],{"className":10818},[2174],[1952,10820,10822],{"className":10821,"style":2179},[2178],[1952,10823,10824,10827],{"style":2248},[1952,10825],{"className":10826,"style":2187},[2186],[1952,10828,10830],{"className":10829},[2191,2192,2193,2194],[1952,10831,2013],{"className":10832},[1995,1996,2194],[1952,10834,2202],{"className":10835},[2201],[1952,10837,10839],{"className":10838},[2174],[1952,10840,10842],{"className":10841,"style":2209},[2178],[1952,10843],{},[1952,10845],{"className":10846,"style":2057},[2056],[1952,10848,9015],{"className":10849},[2061],[1952,10851],{"className":10852,"style":2057},[2056],[1952,10854,10856,10859],{"className":10855},[1986],[1952,10857],{"className":10858,"style":2524},[1990],[1952,10860,10862,10865],{"className":10861},[1995],[1952,10863,3489],{"className":10864},[1995,1996],[1952,10866,10868],{"className":10867},[2165],[1952,10869,10871],{"className":10870},[2169],[1952,10872,10874],{"className":10873},[2174],[1952,10875,10877],{"className":10876,"style":5469},[2178],[1952,10878,10879,10882],{"style":5472},[1952,10880],{"className":10881,"style":2187},[2186],[1952,10883,10885],{"className":10884},[2191,2192,2193,2194],[1952,10886,5431],{"className":10887},[5482,2194],[1850,10889,10084,10890,10217],{},[1952,10891,10893,10918],{"className":10892},[1955],[1952,10894,10896],{"className":10895},[1959],[1961,10897,10898],{"xmlns":1963},[1965,10899,10900,10916],{},[1968,10901,10902,10908,10910],{},[2124,10903,10904,10906],{},[1971,10905,3489],{},[1971,10907,2013],{},[2015,10909,2017],{},[2124,10911,10912,10914],{},[1971,10913,2128],{},[1971,10915,2013],{},[1975,10917,8190],{"encoding":1977},[1952,10919,10921,10976],{"className":10920,"ariaHidden":1982},[1981],[1952,10922,10924,10927,10967,10970,10973],{"className":10923},[1986],[1952,10925],{"className":10926,"style":2154},[1990],[1952,10928,10930,10933],{"className":10929},[1995],[1952,10931,3489],{"className":10932},[1995,1996],[1952,10934,10936],{"className":10935},[2165],[1952,10937,10939,10959],{"className":10938},[2169,2170],[1952,10940,10942,10956],{"className":10941},[2174],[1952,10943,10945],{"className":10944,"style":2179},[2178],[1952,10946,10947,10950],{"style":2248},[1952,10948],{"className":10949,"style":2187},[2186],[1952,10951,10953],{"className":10952},[2191,2192,2193,2194],[1952,10954,2013],{"className":10955},[1995,1996,2194],[1952,10957,2202],{"className":10958},[2201],[1952,10960,10962],{"className":10961},[2174],[1952,10963,10965],{"className":10964,"style":2209},[2178],[1952,10966],{},[1952,10968],{"className":10969,"style":2057},[2056],[1952,10971,2017],{"className":10972},[2061],[1952,10974],{"className":10975,"style":2057},[2056],[1952,10977,10979,10982],{"className":10978},[1986],[1952,10980],{"className":10981,"style":2154},[1990],[1952,10983,10985,10988],{"className":10984},[1995],[1952,10986,2128],{"className":10987,"style":2161},[1995,1996],[1952,10989,10991],{"className":10990},[2165],[1952,10992,10994,11014],{"className":10993},[2169,2170],[1952,10995,10997,11011],{"className":10996},[2174],[1952,10998,11000],{"className":10999,"style":2179},[2178],[1952,11001,11002,11005],{"style":2182},[1952,11003],{"className":11004,"style":2187},[2186],[1952,11006,11008],{"className":11007},[2191,2192,2193,2194],[1952,11009,2013],{"className":11010},[1995,1996,2194],[1952,11012,2202],{"className":11013},[2201],[1952,11015,11017],{"className":11016},[2174],[1952,11018,11020],{"className":11019,"style":2209},[2178],[1952,11021],{},[1808,11023,11024,1946,11148],{},[1850,11025,9411,11026],{},[1952,11027,11029,11055],{"className":11028},[1955],[1952,11030,11032],{"className":11031},[1959],[1961,11033,11034],{"xmlns":1963},[1965,11035,11036,11052],{},[1968,11037,11038,11044,11046],{},[2124,11039,11040,11042],{},[1971,11041,2128],{},[1971,11043,2013],{},[2015,11045,2017],{},[5424,11047,11048,11050],{},[1971,11049,3489],{},[2015,11051,5431],{},[1975,11053,11054],{"encoding":1977},"\\theta_i = b^*",[1952,11056,11058,11113],{"className":11057,"ariaHidden":1982},[1981],[1952,11059,11061,11064,11104,11107,11110],{"className":11060},[1986],[1952,11062],{"className":11063,"style":2154},[1990],[1952,11065,11067,11070],{"className":11066},[1995],[1952,11068,2128],{"className":11069,"style":2161},[1995,1996],[1952,11071,11073],{"className":11072},[2165],[1952,11074,11076,11096],{"className":11075},[2169,2170],[1952,11077,11079,11093],{"className":11078},[2174],[1952,11080,11082],{"className":11081,"style":2179},[2178],[1952,11083,11084,11087],{"style":2182},[1952,11085],{"className":11086,"style":2187},[2186],[1952,11088,11090],{"className":11089},[2191,2192,2193,2194],[1952,11091,2013],{"className":11092},[1995,1996,2194],[1952,11094,2202],{"className":11095},[2201],[1952,11097,11099],{"className":11098},[2174],[1952,11100,11102],{"className":11101,"style":2209},[2178],[1952,11103],{},[1952,11105],{"className":11106,"style":2057},[2056],[1952,11108,2017],{"className":11109},[2061],[1952,11111],{"className":11112,"style":2057},[2056],[1952,11114,11116,11119],{"className":11115},[1986],[1952,11117],{"className":11118,"style":2524},[1990],[1952,11120,11122,11125],{"className":11121},[1995],[1952,11123,3489],{"className":11124},[1995,1996],[1952,11126,11128],{"className":11127},[2165],[1952,11129,11131],{"className":11130},[2169],[1952,11132,11134],{"className":11133},[2174],[1952,11135,11137],{"className":11136,"style":5469},[2178],[1952,11138,11139,11142],{"style":5472},[1952,11140],{"className":11141,"style":2187},[2186],[1952,11143,11145],{"className":11144},[2191,2192,2193,2194],[1952,11146,5431],{"className":11147},[5482,2194],[1805,11149,11150,11334],{},[1808,11151,11152,11153,11181,11182,11304,11305,11333],{},"任何出价策略效用都是 ",[1952,11154,11156,11169],{"className":11155},[1955],[1952,11157,11159],{"className":11158},[1959],[1961,11160,11161],{"xmlns":1963},[1965,11162,11163,11167],{},[1968,11164,11165],{},[2019,11166,9173],{},[1975,11168,9173],{"encoding":1977},[1952,11170,11172],{"className":11171,"ariaHidden":1982},[1981],[1952,11173,11175,11178],{"className":11174},[1986],[1952,11176],{"className":11177,"style":9241},[1990],[1952,11179,9173],{"className":11180},[1995],"（获胜支付 ",[1952,11183,11185,11211],{"className":11184},[1955],[1952,11186,11188],{"className":11187},[1959],[1961,11189,11190],{"xmlns":1963},[1965,11191,11192,11208],{},[1968,11193,11194,11200,11202],{},[5424,11195,11196,11198],{},[1971,11197,3489],{},[2015,11199,5431],{},[2015,11201,2017],{},[2124,11203,11204,11206],{},[1971,11205,2128],{},[1971,11207,2013],{},[1975,11209,11210],{"encoding":1977},"b^* = \\theta_i",[1952,11212,11214,11258],{"className":11213,"ariaHidden":1982},[1981],[1952,11215,11217,11220,11249,11252,11255],{"className":11216},[1986],[1952,11218],{"className":11219,"style":2524},[1990],[1952,11221,11223,11226],{"className":11222},[1995],[1952,11224,3489],{"className":11225},[1995,1996],[1952,11227,11229],{"className":11228},[2165],[1952,11230,11232],{"className":11231},[2169],[1952,11233,11235],{"className":11234},[2174],[1952,11236,11238],{"className":11237,"style":5469},[2178],[1952,11239,11240,11243],{"style":5472},[1952,11241],{"className":11242,"style":2187},[2186],[1952,11244,11246],{"className":11245},[2191,2192,2193,2194],[1952,11247,5431],{"className":11248},[5482,2194],[1952,11250],{"className":11251,"style":2057},[2056],[1952,11253,2017],{"className":11254},[2061],[1952,11256],{"className":11257,"style":2057},[2056],[1952,11259,11261,11264],{"className":11260},[1986],[1952,11262],{"className":11263,"style":2154},[1990],[1952,11265,11267,11270],{"className":11266},[1995],[1952,11268,2128],{"className":11269,"style":2161},[1995,1996],[1952,11271,11273],{"className":11272},[2165],[1952,11274,11276,11296],{"className":11275},[2169,2170],[1952,11277,11279,11293],{"className":11278},[2174],[1952,11280,11282],{"className":11281,"style":2179},[2178],[1952,11283,11284,11287],{"style":2182},[1952,11285],{"className":11286,"style":2187},[2186],[1952,11288,11290],{"className":11289},[2191,2192,2193,2194],[1952,11291,2013],{"className":11292},[1995,1996,2194],[1952,11294,2202],{"className":11295},[2201],[1952,11297,11299],{"className":11298},[2174],[1952,11300,11302],{"className":11301,"style":2209},[2178],[1952,11303],{},"，失败得 ",[1952,11306,11308,11321],{"className":11307},[1955],[1952,11309,11311],{"className":11310},[1959],[1961,11312,11313],{"xmlns":1963},[1965,11314,11315,11319],{},[1968,11316,11317],{},[2019,11318,9173],{},[1975,11320,9173],{"encoding":1977},[1952,11322,11324],{"className":11323,"ariaHidden":1982},[1981],[1952,11325,11327,11330],{"className":11326},[1986],[1952,11328],{"className":11329,"style":9241},[1990],[1952,11331,9173],{"className":11332},[1995],"）",[1808,11335,11336],{},[1850,11337,11338],{},"真实出价无差异",[1798,11340,11341,11344,11345,11404,11405,11537,11538,3089],{},[1850,11342,11343],{},"结论","：无论 ",[1952,11346,11348,11366],{"className":11347},[1955],[1952,11349,11351],{"className":11350},[1959],[1961,11352,11353],{"xmlns":1963},[1965,11354,11355,11363],{},[1968,11356,11357],{},[5424,11358,11359,11361],{},[1971,11360,3489],{},[2015,11362,5431],{},[1975,11364,11365],{"encoding":1977},"b^*",[1952,11367,11369],{"className":11368,"ariaHidden":1982},[1981],[1952,11370,11372,11375],{"className":11371},[1986],[1952,11373],{"className":11374,"style":2524},[1990],[1952,11376,11378,11381],{"className":11377},[1995],[1952,11379,3489],{"className":11380},[1995,1996],[1952,11382,11384],{"className":11383},[2165],[1952,11385,11387],{"className":11386},[2169],[1952,11388,11390],{"className":11389},[2174],[1952,11391,11393],{"className":11392,"style":5469},[2178],[1952,11394,11395,11398],{"style":5472},[1952,11396],{"className":11397,"style":2187},[2186],[1952,11399,11401],{"className":11400},[2191,2192,2193,2194],[1952,11402,5431],{"className":11403},[5482,2194]," 如何（即无论其他人如何出价），",[1952,11406,11408,11433],{"className":11407},[1955],[1952,11409,11411],{"className":11410},[1959],[1961,11412,11413],{"xmlns":1963},[1965,11414,11415,11431],{},[1968,11416,11417,11423,11425],{},[2124,11418,11419,11421],{},[1971,11420,3489],{},[1971,11422,2013],{},[2015,11424,2017],{},[2124,11426,11427,11429],{},[1971,11428,2128],{},[1971,11430,2013],{},[1975,11432,8190],{"encoding":1977},[1952,11434,11436,11491],{"className":11435,"ariaHidden":1982},[1981],[1952,11437,11439,11442,11482,11485,11488],{"className":11438},[1986],[1952,11440],{"className":11441,"style":2154},[1990],[1952,11443,11445,11448],{"className":11444},[1995],[1952,11446,3489],{"className":11447},[1995,1996],[1952,11449,11451],{"className":11450},[2165],[1952,11452,11454,11474],{"className":11453},[2169,2170],[1952,11455,11457,11471],{"className":11456},[2174],[1952,11458,11460],{"className":11459,"style":2179},[2178],[1952,11461,11462,11465],{"style":2248},[1952,11463],{"className":11464,"style":2187},[2186],[1952,11466,11468],{"className":11467},[2191,2192,2193,2194],[1952,11469,2013],{"className":11470},[1995,1996,2194],[1952,11472,2202],{"className":11473},[2201],[1952,11475,11477],{"className":11476},[2174],[1952,11478,11480],{"className":11479,"style":2209},[2178],[1952,11481],{},[1952,11483],{"className":11484,"style":2057},[2056],[1952,11486,2017],{"className":11487},[2061],[1952,11489],{"className":11490,"style":2057},[2056],[1952,11492,11494,11497],{"className":11493},[1986],[1952,11495],{"className":11496,"style":2154},[1990],[1952,11498,11500,11503],{"className":11499},[1995],[1952,11501,2128],{"className":11502,"style":2161},[1995,1996],[1952,11504,11506],{"className":11505},[2165],[1952,11507,11509,11529],{"className":11508},[2169,2170],[1952,11510,11512,11526],{"className":11511},[2174],[1952,11513,11515],{"className":11514,"style":2179},[2178],[1952,11516,11517,11520],{"style":2182},[1952,11518],{"className":11519,"style":2187},[2186],[1952,11521,11523],{"className":11522},[2191,2192,2193,2194],[1952,11524,2013],{"className":11525},[1995,1996,2194],[1952,11527,2202],{"className":11528},[2201],[1952,11530,11532],{"className":11531},[2174],[1952,11533,11535],{"className":11534,"style":2209},[2178],[1952,11536],{}," 都是（弱）最优的。这是",[1850,11539,11540],{},"优势策略",[1798,11542,11543,11546,11547,3089],{},[1850,11544,11545],{},"效率性","：\n由于所有人真实出价，最高出价者就是估值最高者，实现了",[1850,11548,11549],{},"效率配置",[1866,11551,11553],{"id":11552},"_32-一般vcg机制","3.2 一般VCG机制",[1798,11555,11556,11559],{},[1850,11557,11558],{},"推广","：多物品、公共项目等更一般的社会选择问题",[1798,11561,11562,1946],{},[1850,11563,11564],{},"VCG支付规则",[1798,11566,11567,11568,1946],{},"对于每个参与者 ",[1952,11569,11571,11584],{"className":11570},[1955],[1952,11572,11574],{"className":11573},[1959],[1961,11575,11576],{"xmlns":1963},[1965,11577,11578,11582],{},[1968,11579,11580],{},[1971,11581,2013],{},[1975,11583,2013],{"encoding":1977},[1952,11585,11587],{"className":11586,"ariaHidden":1982},[1981],[1952,11588,11590,11593],{"className":11589},[1986],[1952,11591],{"className":11592,"style":2049},[1990],[1952,11594,2013],{"className":11595},[1995,1996],[1877,11597,11598,12066],{},[1808,11599,11600,11601,11675,11676],{},"选择社会最优结果 ",[1952,11602,11604,11628],{"className":11603},[1955],[1952,11605,11607],{"className":11606},[1959],[1961,11608,11609],{"xmlns":1963},[1965,11610,11611,11625],{},[1968,11612,11613,11619,11621,11623],{},[5424,11614,11615,11617],{},[1971,11616,2834],{},[2015,11618,5431],{},[2015,11620,2303],{"stretchy":2302},[1971,11622,2128],{},[2015,11624,2312],{"stretchy":2302},[1975,11626,11627],{"encoding":1977},"x^*(\\theta)",[1952,11629,11631],{"className":11630,"ariaHidden":1982},[1981],[1952,11632,11634,11637,11666,11669,11672],{"className":11633},[1986],[1952,11635],{"className":11636,"style":2380},[1990],[1952,11638,11640,11643],{"className":11639},[1995],[1952,11641,2834],{"className":11642},[1995,1996],[1952,11644,11646],{"className":11645},[2165],[1952,11647,11649],{"className":11648},[2169],[1952,11650,11652],{"className":11651},[2174],[1952,11653,11655],{"className":11654,"style":5469},[2178],[1952,11656,11657,11660],{"style":5472},[1952,11658],{"className":11659,"style":2187},[2186],[1952,11661,11663],{"className":11662},[2191,2192,2193,2194],[1952,11664,5431],{"className":11665},[5482,2194],[1952,11667,2303],{"className":11668},[2426],[1952,11670,2128],{"className":11671,"style":2161},[1995,1996],[1952,11673,2312],{"className":11674},[2470]," 最大化总效用：",[1952,11677,11679],{"className":11678},[3565],[1952,11680,11682,11765],{"className":11681},[1955],[1952,11683,11685],{"className":11684},[1959],[1961,11686,11687],{"xmlns":1963,"display":3574},[1965,11688,11689,11762],{},[1968,11690,11691,11697,11699,11701,11703,11705,11708,11710,11726,11742,11748,11750,11752,11754,11760],{},[5424,11692,11693,11695],{},[1971,11694,2834],{},[2015,11696,5431],{},[2015,11698,2303],{"stretchy":2302},[1971,11700,2128],{},[2015,11702,2312],{"stretchy":2302},[2015,11704,2017],{},[1971,11706,11707],{},"arg",[2015,11709,7803],{},[7794,11711,11712,11718],{},[1968,11713,11714,11716],{},[1971,11715,7800],{},[2015,11717,7803],{},[1968,11719,11720,11722,11724],{},[1971,11721,2834],{},[2015,11723,2133],{},[1971,11725,2673],{},[11727,11728,11729,11732,11740],"munderover",{},[2015,11730,11731],{},"∑",[1968,11733,11734,11736,11738],{},[1971,11735,8435],{},[2015,11737,2017],{},[2019,11739,2021],{},[1971,11741,1973],{},[2124,11743,11744,11746],{},[1971,11745,2827],{},[1971,11747,8435],{},[2015,11749,2303],{"stretchy":2302},[1971,11751,2834],{},[2015,11753,2024],{"separator":1982},[2124,11755,11756,11758],{},[1971,11757,2128],{},[1971,11759,8435],{},[2015,11761,2312],{"stretchy":2302},[1975,11763,11764],{"encoding":1977},"x^*(\\theta) = \\arg\\max_{x \\in X} \\sum_{j=1}^N u_j(x, \\theta_j)",[1952,11766,11768,11821],{"className":11767,"ariaHidden":1982},[1981],[1952,11769,11771,11774,11803,11806,11809,11812,11815,11818],{"className":11770},[1986],[1952,11772],{"className":11773,"style":2380},[1990],[1952,11775,11777,11780],{"className":11776},[1995],[1952,11778,2834],{"className":11779},[1995,1996],[1952,11781,11783],{"className":11782},[2165],[1952,11784,11786],{"className":11785},[2169],[1952,11787,11789],{"className":11788},[2174],[1952,11790,11792],{"className":11791,"style":6267},[2178],[1952,11793,11794,11797],{"style":6270},[1952,11795],{"className":11796,"style":2187},[2186],[1952,11798,11800],{"className":11799},[2191,2192,2193,2194],[1952,11801,5431],{"className":11802},[5482,2194],[1952,11804,2303],{"className":11805},[2426],[1952,11807,2128],{"className":11808,"style":2161},[1995,1996],[1952,11810,2312],{"className":11811},[2470],[1952,11813],{"className":11814,"style":2057},[2056],[1952,11816,2017],{"className":11817},[2061],[1952,11819],{"className":11820,"style":2057},[2056],[1952,11822,11824,11828,11835,11838,11893,11896,11968,11971,12011,12014,12017,12020,12023,12063],{"className":11823},[1986],[1952,11825],{"className":11826,"style":11827},[1990],"height:3.2421em;vertical-align:-1.4138em;",[1952,11829,11831,11832],{"className":11830},[7832],"ar",[1952,11833,5698],{"style":11834},"margin-right:0.0139em;",[1952,11836],{"className":11837,"style":2082},[2056],[1952,11839,11841],{"className":11840},[7832,7833],[1952,11842,11844,11884],{"className":11843},[2169,2170],[1952,11845,11847,11881],{"className":11846},[2174],[1952,11848,11850,11871],{"className":11849,"style":2980},[2178],[1952,11851,11853,11856],{"style":11852},"top:-2.3557em;margin-left:0em;",[1952,11854],{"className":11855,"style":3164},[2186],[1952,11857,11859],{"className":11858},[2191,2192,2193,2194],[1952,11860,11862,11865,11868],{"className":11861},[1995,2194],[1952,11863,2834],{"className":11864},[1995,1996,2194],[1952,11866,2133],{"className":11867},[2061,2194],[1952,11869,2673],{"className":11870,"style":2688},[1995,1996,2194],[1952,11872,11873,11876],{"style":3160},[1952,11874],{"className":11875,"style":3164},[2186],[1952,11877,11878],{},[1952,11879,7800],{"className":11880},[7832],[1952,11882,2202],{"className":11883},[2201],[1952,11885,11887],{"className":11886},[2174],[1952,11888,11891],{"className":11889,"style":11890},[2178],"height:0.7717em;",[1952,11892],{},[1952,11894],{"className":11895,"style":2082},[2056],[1952,11897,11899],{"className":11898},[7832,7833],[1952,11900,11902,11959],{"className":11901},[2169,2170],[1952,11903,11905,11956],{"className":11904},[2174],[1952,11906,11909,11931,11944],{"className":11907,"style":11908},[2178],"height:1.8283em;",[1952,11910,11912,11916],{"style":11911},"top:-1.8723em;margin-left:0em;",[1952,11913],{"className":11914,"style":11915},[2186],"height:3.05em;",[1952,11917,11919],{"className":11918},[2191,2192,2193,2194],[1952,11920,11922,11925,11928],{"className":11921},[1995,2194],[1952,11923,8435],{"className":11924,"style":8538},[1995,1996,2194],[1952,11926,2017],{"className":11927},[2061,2194],[1952,11929,2021],{"className":11930},[1995,2194],[1952,11932,11934,11937],{"style":11933},"top:-3.05em;",[1952,11935],{"className":11936,"style":11915},[2186],[1952,11938,11939],{},[1952,11940,11731],{"className":11941},[7832,11942,11943],"op-symbol","large-op",[1952,11945,11947,11950],{"style":11946},"top:-4.3em;margin-left:0em;",[1952,11948],{"className":11949,"style":11915},[2186],[1952,11951,11953],{"className":11952},[2191,2192,2193,2194],[1952,11954,1973],{"className":11955,"style":1997},[1995,1996,2194],[1952,11957,2202],{"className":11958},[2201],[1952,11960,11962],{"className":11961},[2174],[1952,11963,11966],{"className":11964,"style":11965},[2178],"height:1.4138em;",[1952,11967],{},[1952,11969],{"className":11970,"style":2082},[2056],[1952,11972,11974,11977],{"className":11973},[1995],[1952,11975,2827],{"className":11976},[1995,1996],[1952,11978,11980],{"className":11979},[2165],[1952,11981,11983,12003],{"className":11982},[2169,2170],[1952,11984,11986,12000],{"className":11985},[2174],[1952,11987,11989],{"className":11988,"style":2179},[2178],[1952,11990,11991,11994],{"style":2248},[1952,11992],{"className":11993,"style":2187},[2186],[1952,11995,11997],{"className":11996},[2191,2192,2193,2194],[1952,11998,8435],{"className":11999,"style":8538},[1995,1996,2194],[1952,12001,2202],{"className":12002},[2201],[1952,12004,12006],{"className":12005},[2174],[1952,12007,12009],{"className":12008,"style":8594},[2178],[1952,12010],{},[1952,12012,2303],{"className":12013},[2426],[1952,12015,2834],{"className":12016},[1995,1996],[1952,12018,2024],{"className":12019},[2078],[1952,12021],{"className":12022,"style":2082},[2056],[1952,12024,12026,12029],{"className":12025},[1995],[1952,12027,2128],{"className":12028,"style":2161},[1995,1996],[1952,12030,12032],{"className":12031},[2165],[1952,12033,12035,12055],{"className":12034},[2169,2170],[1952,12036,12038,12052],{"className":12037},[2174],[1952,12039,12041],{"className":12040,"style":2179},[2178],[1952,12042,12043,12046],{"style":2182},[1952,12044],{"className":12045,"style":2187},[2186],[1952,12047,12049],{"className":12048},[2191,2192,2193,2194],[1952,12050,8435],{"className":12051,"style":8538},[1995,1996,2194],[1952,12053,2202],{"className":12054},[2201],[1952,12056,12058],{"className":12057},[2174],[1952,12059,12061],{"className":12060,"style":8594},[2178],[1952,12062],{},[1952,12064,2312],{"className":12065},[2470],[1808,12067,2781,12068,12096,12097,12797,12800,12801,12926,12927,12955],{},[1952,12069,12071,12084],{"className":12070},[1955],[1952,12072,12074],{"className":12073},[1959],[1961,12075,12076],{"xmlns":1963},[1965,12077,12078,12082],{},[1968,12079,12080],{},[1971,12081,2013],{},[1975,12083,2013],{"encoding":1977},[1952,12085,12087],{"className":12086,"ariaHidden":1982},[1981],[1952,12088,12090,12093],{"className":12089},[1986],[1952,12091],{"className":12092,"style":2049},[1990],[1952,12094,2013],{"className":12095},[1995,1996]," 的支付：",[1952,12098,12100],{"className":12099},[3565],[1952,12101,12103,12224],{"className":12102},[1955],[1952,12104,12106],{"className":12105},[1959],[1961,12107,12108],{"xmlns":1963,"display":3574},[1965,12109,12110,12221],{},[1968,12111,12112,12119,12121,12123,12125,12127,12139,12145,12147,12153,12155,12165,12167,12169,12175,12177,12179,12191,12197,12199,12205,12207,12209,12211,12213,12219],{},[2124,12113,12114,12117],{},[1971,12115,12116],{},"t",[1971,12118,2013],{},[2015,12120,2303],{"stretchy":2302},[1971,12122,2128],{},[2015,12124,2312],{"stretchy":2302},[2015,12126,2017],{},[7794,12128,12129,12131],{},[2015,12130,11731],{},[1968,12132,12133,12135,12137],{},[1971,12134,8435],{},[2015,12136,8438],{"mathvariant":2138},[1971,12138,2013],{},[2124,12140,12141,12143],{},[1971,12142,2827],{},[1971,12144,8435],{},[2015,12146,2303],{"stretchy":2302},[5424,12148,12149,12151],{},[1971,12150,2834],{},[2015,12152,5431],{},[2015,12154,2303],{"stretchy":2302},[2124,12156,12157,12159],{},[1971,12158,2128],{},[1968,12160,12161,12163],{},[2015,12162,3607],{},[1971,12164,2013],{},[2015,12166,2312],{"stretchy":2302},[2015,12168,2024],{"separator":1982},[2124,12170,12171,12173],{},[1971,12172,2128],{},[1971,12174,8435],{},[2015,12176,2312],{"stretchy":2302},[2015,12178,3607],{},[7794,12180,12181,12183],{},[2015,12182,11731],{},[1968,12184,12185,12187,12189],{},[1971,12186,8435],{},[2015,12188,8438],{"mathvariant":2138},[1971,12190,2013],{},[2124,12192,12193,12195],{},[1971,12194,2827],{},[1971,12196,8435],{},[2015,12198,2303],{"stretchy":2302},[5424,12200,12201,12203],{},[1971,12202,2834],{},[2015,12204,5431],{},[2015,12206,2303],{"stretchy":2302},[1971,12208,2128],{},[2015,12210,2312],{"stretchy":2302},[2015,12212,2024],{"separator":1982},[2124,12214,12215,12217],{},[1971,12216,2128],{},[1971,12218,8435],{},[2015,12220,2312],{"stretchy":2302},[1975,12222,12223],{"encoding":1977},"t_i(\\theta) = \\sum_{j \\neq i} u_j(x^*(\\theta_{-i}), \\theta_j) - \\sum_{j \\neq i} u_j(x^*(\\theta), \\theta_j)",[1952,12225,12227,12291,12572],{"className":12226,"ariaHidden":1982},[1981],[1952,12228,12230,12233,12273,12276,12279,12282,12285,12288],{"className":12229},[1986],[1952,12231],{"className":12232,"style":2380},[1990],[1952,12234,12236,12239],{"className":12235},[1995],[1952,12237,12116],{"className":12238},[1995,1996],[1952,12240,12242],{"className":12241},[2165],[1952,12243,12245,12265],{"className":12244},[2169,2170],[1952,12246,12248,12262],{"className":12247},[2174],[1952,12249,12251],{"className":12250,"style":2179},[2178],[1952,12252,12253,12256],{"style":2248},[1952,12254],{"className":12255,"style":2187},[2186],[1952,12257,12259],{"className":12258},[2191,2192,2193,2194],[1952,12260,2013],{"className":12261},[1995,1996,2194],[1952,12263,2202],{"className":12264},[2201],[1952,12266,12268],{"className":12267},[2174],[1952,12269,12271],{"className":12270,"style":2209},[2178],[1952,12272],{},[1952,12274,2303],{"className":12275},[2426],[1952,12277,2128],{"className":12278,"style":2161},[1995,1996],[1952,12280,2312],{"className":12281},[2470],[1952,12283],{"className":12284,"style":2057},[2056],[1952,12286,2017],{"className":12287},[2061],[1952,12289],{"className":12290,"style":2057},[2056],[1952,12292,12294,12298,12387,12390,12430,12433,12462,12465,12511,12514,12517,12520,12560,12563,12566,12569],{"className":12293},[1986],[1952,12295],{"className":12296,"style":12297},[1990],"height:2.4882em;vertical-align:-1.4382em;",[1952,12299,12301],{"className":12300},[7832,7833],[1952,12302,12304,12378],{"className":12303},[2169,2170],[1952,12305,12307,12375],{"className":12306},[2174],[1952,12308,12311,12365],{"className":12309,"style":12310},[2178],"height:1.05em;",[1952,12312,12314,12317],{"style":12313},"top:-1.8479em;margin-left:0em;",[1952,12315],{"className":12316,"style":11915},[2186],[1952,12318,12320],{"className":12319},[2191,2192,2193,2194],[1952,12321,12323,12326,12362],{"className":12322},[1995,2194],[1952,12324,8435],{"className":12325,"style":8538},[1995,1996,2194],[1952,12327,12329,12356,12359],{"className":12328},[2061,2194],[1952,12330,12332],{"className":12331},[2061,2194],[1952,12333,12335],{"className":12334},[1995,8548,2194],[1952,12336,12338],{"className":12337},[8552,2194],[1952,12339,12341,12344,12353],{"className":12340},[8556,2194],[1952,12342],{"className":12343,"style":2730},[1990],[1952,12345,12347],{"className":12346},[8563],[1952,12348,12350],{"className":12349},[1995,2194],[1952,12351,8570],{"className":12352},[2061,2194],[1952,12354],{"className":12355},[8574],[1952,12357],{"className":12358},[2056,8578,2194],[1952,12360,2017],{"className":12361},[2061,2194],[1952,12363,2013],{"className":12364},[1995,1996,2194],[1952,12366,12367,12370],{"style":11933},[1952,12368],{"className":12369,"style":11915},[2186],[1952,12371,12372],{},[1952,12373,11731],{"className":12374},[7832,11942,11943],[1952,12376,2202],{"className":12377},[2201],[1952,12379,12381],{"className":12380},[2174],[1952,12382,12385],{"className":12383,"style":12384},[2178],"height:1.4382em;",[1952,12386],{},[1952,12388],{"className":12389,"style":2082},[2056],[1952,12391,12393,12396],{"className":12392},[1995],[1952,12394,2827],{"className":12395},[1995,1996],[1952,12397,12399],{"className":12398},[2165],[1952,12400,12402,12422],{"className":12401},[2169,2170],[1952,12403,12405,12419],{"className":12404},[2174],[1952,12406,12408],{"className":12407,"style":2179},[2178],[1952,12409,12410,12413],{"style":2248},[1952,12411],{"className":12412,"style":2187},[2186],[1952,12414,12416],{"className":12415},[2191,2192,2193,2194],[1952,12417,8435],{"className":12418,"style":8538},[1995,1996,2194],[1952,12420,2202],{"className":12421},[2201],[1952,12423,12425],{"className":12424},[2174],[1952,12426,12428],{"className":12427,"style":8594},[2178],[1952,12429],{},[1952,12431,2303],{"className":12432},[2426],[1952,12434,12436,12439],{"className":12435},[1995],[1952,12437,2834],{"className":12438},[1995,1996],[1952,12440,12442],{"className":12441},[2165],[1952,12443,12445],{"className":12444},[2169],[1952,12446,12448],{"className":12447},[2174],[1952,12449,12451],{"className":12450,"style":6267},[2178],[1952,12452,12453,12456],{"style":6270},[1952,12454],{"className":12455,"style":2187},[2186],[1952,12457,12459],{"className":12458},[2191,2192,2193,2194],[1952,12460,5431],{"className":12461},[5482,2194],[1952,12463,2303],{"className":12464},[2426],[1952,12466,12468,12471],{"className":12467},[1995],[1952,12469,2128],{"className":12470,"style":2161},[1995,1996],[1952,12472,12474],{"className":12473},[2165],[1952,12475,12477,12503],{"className":12476},[2169,2170],[1952,12478,12480,12500],{"className":12479},[2174],[1952,12481,12483],{"className":12482,"style":2179},[2178],[1952,12484,12485,12488],{"style":2182},[1952,12486],{"className":12487,"style":2187},[2186],[1952,12489,12491],{"className":12490},[2191,2192,2193,2194],[1952,12492,12494,12497],{"className":12493},[1995,2194],[1952,12495,3607],{"className":12496},[1995,2194],[1952,12498,2013],{"className":12499},[1995,1996,2194],[1952,12501,2202],{"className":12502},[2201],[1952,12504,12506],{"className":12505},[2174],[1952,12507,12509],{"className":12508,"style":3858},[2178],[1952,12510],{},[1952,12512,2312],{"className":12513},[2470],[1952,12515,2024],{"className":12516},[2078],[1952,12518],{"className":12519,"style":2082},[2056],[1952,12521,12523,12526],{"className":12522},[1995],[1952,12524,2128],{"className":12525,"style":2161},[1995,1996],[1952,12527,12529],{"className":12528},[2165],[1952,12530,12532,12552],{"className":12531},[2169,2170],[1952,12533,12535,12549],{"className":12534},[2174],[1952,12536,12538],{"className":12537,"style":2179},[2178],[1952,12539,12540,12543],{"style":2182},[1952,12541],{"className":12542,"style":2187},[2186],[1952,12544,12546],{"className":12545},[2191,2192,2193,2194],[1952,12547,8435],{"className":12548,"style":8538},[1995,1996,2194],[1952,12550,2202],{"className":12551},[2201],[1952,12553,12555],{"className":12554},[2174],[1952,12556,12558],{"className":12557,"style":8594},[2178],[1952,12559],{},[1952,12561,2312],{"className":12562},[2470],[1952,12564],{"className":12565,"style":8948},[2056],[1952,12567,3607],{"className":12568},[5482],[1952,12570],{"className":12571,"style":8948},[2056],[1952,12573,12575,12578,12664,12667,12707,12710,12739,12742,12745,12748,12751,12754,12794],{"className":12574},[1986],[1952,12576],{"className":12577,"style":12297},[1990],[1952,12579,12581],{"className":12580},[7832,7833],[1952,12582,12584,12656],{"className":12583},[2169,2170],[1952,12585,12587,12653],{"className":12586},[2174],[1952,12588,12590,12643],{"className":12589,"style":12310},[2178],[1952,12591,12592,12595],{"style":12313},[1952,12593],{"className":12594,"style":11915},[2186],[1952,12596,12598],{"className":12597},[2191,2192,2193,2194],[1952,12599,12601,12604,12640],{"className":12600},[1995,2194],[1952,12602,8435],{"className":12603,"style":8538},[1995,1996,2194],[1952,12605,12607,12634,12637],{"className":12606},[2061,2194],[1952,12608,12610],{"className":12609},[2061,2194],[1952,12611,12613],{"className":12612},[1995,8548,2194],[1952,12614,12616],{"className":12615},[8552,2194],[1952,12617,12619,12622,12631],{"className":12618},[8556,2194],[1952,12620],{"className":12621,"style":2730},[1990],[1952,12623,12625],{"className":12624},[8563],[1952,12626,12628],{"className":12627},[1995,2194],[1952,12629,8570],{"className":12630},[2061,2194],[1952,12632],{"className":12633},[8574],[1952,12635],{"className":12636},[2056,8578,2194],[1952,12638,2017],{"className":12639},[2061,2194],[1952,12641,2013],{"className":12642},[1995,1996,2194],[1952,12644,12645,12648],{"style":11933},[1952,12646],{"className":12647,"style":11915},[2186],[1952,12649,12650],{},[1952,12651,11731],{"className":12652},[7832,11942,11943],[1952,12654,2202],{"className":12655},[2201],[1952,12657,12659],{"className":12658},[2174],[1952,12660,12662],{"className":12661,"style":12384},[2178],[1952,12663],{},[1952,12665],{"className":12666,"style":2082},[2056],[1952,12668,12670,12673],{"className":12669},[1995],[1952,12671,2827],{"className":12672},[1995,1996],[1952,12674,12676],{"className":12675},[2165],[1952,12677,12679,12699],{"className":12678},[2169,2170],[1952,12680,12682,12696],{"className":12681},[2174],[1952,12683,12685],{"className":12684,"style":2179},[2178],[1952,12686,12687,12690],{"style":2248},[1952,12688],{"className":12689,"style":2187},[2186],[1952,12691,12693],{"className":12692},[2191,2192,2193,2194],[1952,12694,8435],{"className":12695,"style":8538},[1995,1996,2194],[1952,12697,2202],{"className":12698},[2201],[1952,12700,12702],{"className":12701},[2174],[1952,12703,12705],{"className":12704,"style":8594},[2178],[1952,12706],{},[1952,12708,2303],{"className":12709},[2426],[1952,12711,12713,12716],{"className":12712},[1995],[1952,12714,2834],{"className":12715},[1995,1996],[1952,12717,12719],{"className":12718},[2165],[1952,12720,12722],{"className":12721},[2169],[1952,12723,12725],{"className":12724},[2174],[1952,12726,12728],{"className":12727,"style":6267},[2178],[1952,12729,12730,12733],{"style":6270},[1952,12731],{"className":12732,"style":2187},[2186],[1952,12734,12736],{"className":12735},[2191,2192,2193,2194],[1952,12737,5431],{"className":12738},[5482,2194],[1952,12740,2303],{"className":12741},[2426],[1952,12743,2128],{"className":12744,"style":2161},[1995,1996],[1952,12746,2312],{"className":12747},[2470],[1952,12749,2024],{"className":12750},[2078],[1952,12752],{"className":12753,"style":2082},[2056],[1952,12755,12757,12760],{"className":12756},[1995],[1952,12758,2128],{"className":12759,"style":2161},[1995,1996],[1952,12761,12763],{"className":12762},[2165],[1952,12764,12766,12786],{"className":12765},[2169,2170],[1952,12767,12769,12783],{"className":12768},[2174],[1952,12770,12772],{"className":12771,"style":2179},[2178],[1952,12773,12774,12777],{"style":2182},[1952,12775],{"className":12776,"style":2187},[2186],[1952,12778,12780],{"className":12779},[2191,2192,2193,2194],[1952,12781,8435],{"className":12782,"style":8538},[1995,1996,2194],[1952,12784,2202],{"className":12785},[2201],[1952,12787,12789],{"className":12788},[2174],[1952,12790,12792],{"className":12791,"style":8594},[2178],[1952,12793],{},[1952,12795,2312],{"className":12796},[2470],[12798,12799],"br",{},"其中 ",[1952,12802,12804,12836],{"className":12803},[1955],[1952,12805,12807],{"className":12806},[1959],[1961,12808,12809],{"xmlns":1963},[1965,12810,12811,12833],{},[1968,12812,12813,12819,12821,12831],{},[5424,12814,12815,12817],{},[1971,12816,2834],{},[2015,12818,5431],{},[2015,12820,2303],{"stretchy":2302},[2124,12822,12823,12825],{},[1971,12824,2128],{},[1968,12826,12827,12829],{},[2015,12828,3607],{},[1971,12830,2013],{},[2015,12832,2312],{"stretchy":2302},[1975,12834,12835],{"encoding":1977},"x^*(\\theta_{-i})",[1952,12837,12839],{"className":12838,"ariaHidden":1982},[1981],[1952,12840,12842,12845,12874,12877,12923],{"className":12841},[1986],[1952,12843],{"className":12844,"style":2380},[1990],[1952,12846,12848,12851],{"className":12847},[1995],[1952,12849,2834],{"className":12850},[1995,1996],[1952,12852,12854],{"className":12853},[2165],[1952,12855,12857],{"className":12856},[2169],[1952,12858,12860],{"className":12859},[2174],[1952,12861,12863],{"className":12862,"style":5469},[2178],[1952,12864,12865,12868],{"style":5472},[1952,12866],{"className":12867,"style":2187},[2186],[1952,12869,12871],{"className":12870},[2191,2192,2193,2194],[1952,12872,5431],{"className":12873},[5482,2194],[1952,12875,2303],{"className":12876},[2426],[1952,12878,12880,12883],{"className":12879},[1995],[1952,12881,2128],{"className":12882,"style":2161},[1995,1996],[1952,12884,12886],{"className":12885},[2165],[1952,12887,12889,12915],{"className":12888},[2169,2170],[1952,12890,12892,12912],{"className":12891},[2174],[1952,12893,12895],{"className":12894,"style":2179},[2178],[1952,12896,12897,12900],{"style":2182},[1952,12898],{"className":12899,"style":2187},[2186],[1952,12901,12903],{"className":12902},[2191,2192,2193,2194],[1952,12904,12906,12909],{"className":12905},[1995,2194],[1952,12907,3607],{"className":12908},[1995,2194],[1952,12910,2013],{"className":12911},[1995,1996,2194],[1952,12913,2202],{"className":12914},[2201],[1952,12916,12918],{"className":12917},[2174],[1952,12919,12921],{"className":12920,"style":3858},[2178],[1952,12922],{},[1952,12924,2312],{"className":12925},[2470]," 是去除 ",[1952,12928,12930,12943],{"className":12929},[1955],[1952,12931,12933],{"className":12932},[1959],[1961,12934,12935],{"xmlns":1963},[1965,12936,12937,12941],{},[1968,12938,12939],{},[1971,12940,2013],{},[1975,12942,2013],{"encoding":1977},[1952,12944,12946],{"className":12945,"ariaHidden":1982},[1981],[1952,12947,12949,12952],{"className":12948},[1986],[1952,12950],{"className":12951,"style":2049},[1990],[1952,12953,2013],{"className":12954},[1995,1996]," 后的社会最优。",[1798,12957,12958,1946],{},[1850,12959,12960],{},"解释",[1805,12962,12963,13070,13130],{},[1808,12964,12965,13036,13037,13065,13066,13069],{},[1952,12966,12968,12986],{"className":12967},[1955],[1952,12969,12971],{"className":12970},[1959],[1961,12972,12973],{"xmlns":1963},[1965,12974,12975,12983],{},[1968,12976,12977],{},[2124,12978,12979,12981],{},[1971,12980,12116],{},[1971,12982,2013],{},[1975,12984,12985],{"encoding":1977},"t_i",[1952,12987,12989],{"className":12988,"ariaHidden":1982},[1981],[1952,12990,12992,12996],{"className":12991},[1986],[1952,12993],{"className":12994,"style":12995},[1990],"height:0.7651em;vertical-align:-0.15em;",[1952,12997,12999,13002],{"className":12998},[1995],[1952,13000,12116],{"className":13001},[1995,1996],[1952,13003,13005],{"className":13004},[2165],[1952,13006,13008,13028],{"className":13007},[2169,2170],[1952,13009,13011,13025],{"className":13010},[2174],[1952,13012,13014],{"className":13013,"style":2179},[2178],[1952,13015,13016,13019],{"style":2248},[1952,13017],{"className":13018,"style":2187},[2186],[1952,13020,13022],{"className":13021},[2191,2192,2193,2194],[1952,13023,2013],{"className":13024},[1995,1996,2194],[1952,13026,2202],{"className":13027},[2201],[1952,13029,13031],{"className":13030},[2174],[1952,13032,13034],{"className":13033,"style":2209},[2178],[1952,13035],{}," 是 ",[1952,13038,13040,13053],{"className":13039},[1955],[1952,13041,13043],{"className":13042},[1959],[1961,13044,13045],{"xmlns":1963},[1965,13046,13047,13051],{},[1968,13048,13049],{},[1971,13050,2013],{},[1975,13052,2013],{"encoding":1977},[1952,13054,13056],{"className":13055,"ariaHidden":1982},[1981],[1952,13057,13059,13062],{"className":13058},[1986],[1952,13060],{"className":13061,"style":2049},[1990],[1952,13063,2013],{"className":13064},[1995,1996]," 的存在对其他人造成的",[1850,13067,13068],{},"外部性","（负的外部性）",[1808,13071,13072,13100,13101,13129],{},[1952,13073,13075,13088],{"className":13074},[1955],[1952,13076,13078],{"className":13077},[1959],[1961,13079,13080],{"xmlns":1963},[1965,13081,13082,13086],{},[1968,13083,13084],{},[1971,13085,2013],{},[1975,13087,2013],{"encoding":1977},[1952,13089,13091],{"className":13090,"ariaHidden":1982},[1981],[1952,13092,13094,13097],{"className":13093},[1986],[1952,13095],{"className":13096,"style":2049},[1990],[1952,13098,2013],{"className":13099},[1995,1996]," 需要补偿其他人因为 ",[1952,13102,13104,13117],{"className":13103},[1955],[1952,13105,13107],{"className":13106},[1959],[1961,13108,13109],{"xmlns":1963},[1965,13110,13111,13115],{},[1968,13112,13113],{},[1971,13114,2013],{},[1975,13116,2013],{"encoding":1977},[1952,13118,13120],{"className":13119,"ariaHidden":1982},[1981],[1952,13121,13123,13126],{"className":13122},[1986],[1952,13124],{"className":13125,"style":2049},[1990],[1952,13127,2013],{"className":13128},[1995,1996]," 的参与而遭受的损失",[1808,13131,13132,13133,13136,13137,13165],{},"这被称为",[1850,13134,13135],{},"Pivotal支付","（当 ",[1952,13138,13140,13153],{"className":13139},[1955],[1952,13141,13143],{"className":13142},[1959],[1961,13144,13145],{"xmlns":1963},[1965,13146,13147,13151],{},[1968,13148,13149],{},[1971,13150,2013],{},[1975,13152,2013],{"encoding":1977},[1952,13154,13156],{"className":13155,"ariaHidden":1982},[1981],[1952,13157,13159,13162],{"className":13158},[1986],[1952,13160],{"className":13161,"style":2049},[1990],[1952,13163,2013],{"className":13164},[1995,1996]," 改变结果时才支付）",[1798,13167,13168,1946],{},[1850,13169,13170],{},"激励相容性（Clarke 1971）",[1798,13172,2781,13173,13201],{},[1952,13174,13176,13189],{"className":13175},[1955],[1952,13177,13179],{"className":13178},[1959],[1961,13180,13181],{"xmlns":1963},[1965,13182,13183,13187],{},[1968,13184,13185],{},[1971,13186,2013],{},[1975,13188,2013],{"encoding":1977},[1952,13190,13192],{"className":13191,"ariaHidden":1982},[1981],[1952,13193,13195,13198],{"className":13194},[1986],[1952,13196],{"className":13197,"style":2049},[1990],[1952,13199,2013],{"className":13200},[1995,1996]," 的净效用：",[1952,13203,13205],{"className":13204},[3565],[1952,13206,13208,13279],{"className":13207},[1955],[1952,13209,13211],{"className":13210},[1959],[1961,13212,13213],{"xmlns":1963,"display":3574},[1965,13214,13215,13276],{},[1968,13216,13217,13224,13226,13228,13230,13232,13238,13240,13246,13248,13250,13252,13254,13260,13262,13264,13270,13272,13274],{},[2124,13218,13219,13222],{},[1971,13220,13221],{},"U",[1971,13223,2013],{},[2015,13225,2303],{"stretchy":2302},[1971,13227,2128],{},[2015,13229,2312],{"stretchy":2302},[2015,13231,2017],{},[2124,13233,13234,13236],{},[1971,13235,2827],{},[1971,13237,2013],{},[2015,13239,2303],{"stretchy":2302},[5424,13241,13242,13244],{},[1971,13243,2834],{},[2015,13245,5431],{},[2015,13247,2303],{"stretchy":2302},[1971,13249,2128],{},[2015,13251,2312],{"stretchy":2302},[2015,13253,2024],{"separator":1982},[2124,13255,13256,13258],{},[1971,13257,2128],{},[1971,13259,2013],{},[2015,13261,2312],{"stretchy":2302},[2015,13263,3607],{},[2124,13265,13266,13268],{},[1971,13267,12116],{},[1971,13269,2013],{},[2015,13271,2303],{"stretchy":2302},[1971,13273,2128],{},[2015,13275,2312],{"stretchy":2302},[1975,13277,13278],{"encoding":1977},"U_i(\\theta) = u_i(x^*(\\theta), \\theta_i) - t_i(\\theta)",[1952,13280,13282,13347,13492],{"className":13281,"ariaHidden":1982},[1981],[1952,13283,13285,13288,13329,13332,13335,13338,13341,13344],{"className":13284},[1986],[1952,13286],{"className":13287,"style":2380},[1990],[1952,13289,13291,13294],{"className":13290},[1995],[1952,13292,13221],{"className":13293,"style":1997},[1995,1996],[1952,13295,13297],{"className":13296},[2165],[1952,13298,13300,13321],{"className":13299},[2169,2170],[1952,13301,13303,13318],{"className":13302},[2174],[1952,13304,13306],{"className":13305,"style":2179},[2178],[1952,13307,13309,13312],{"style":13308},"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;",[1952,13310],{"className":13311,"style":2187},[2186],[1952,13313,13315],{"className":13314},[2191,2192,2193,2194],[1952,13316,2013],{"className":13317},[1995,1996,2194],[1952,13319,2202],{"className":13320},[2201],[1952,13322,13324],{"className":13323},[2174],[1952,13325,13327],{"className":13326,"style":2209},[2178],[1952,13328],{},[1952,13330,2303],{"className":13331},[2426],[1952,13333,2128],{"className":13334,"style":2161},[1995,1996],[1952,13336,2312],{"className":13337},[2470],[1952,13339],{"className":13340,"style":2057},[2056],[1952,13342,2017],{"className":13343},[2061],[1952,13345],{"className":13346,"style":2057},[2056],[1952,13348,13350,13353,13393,13396,13425,13428,13431,13434,13437,13440,13480,13483,13486,13489],{"className":13349},[1986],[1952,13351],{"className":13352,"style":2380},[1990],[1952,13354,13356,13359],{"className":13355},[1995],[1952,13357,2827],{"className":13358},[1995,1996],[1952,13360,13362],{"className":13361},[2165],[1952,13363,13365,13385],{"className":13364},[2169,2170],[1952,13366,13368,13382],{"className":13367},[2174],[1952,13369,13371],{"className":13370,"style":2179},[2178],[1952,13372,13373,13376],{"style":2248},[1952,13374],{"className":13375,"style":2187},[2186],[1952,13377,13379],{"className":13378},[2191,2192,2193,2194],[1952,13380,2013],{"className":13381},[1995,1996,2194],[1952,13383,2202],{"className":13384},[2201],[1952,13386,13388],{"className":13387},[2174],[1952,13389,13391],{"className":13390,"style":2209},[2178],[1952,13392],{},[1952,13394,2303],{"className":13395},[2426],[1952,13397,13399,13402],{"className":13398},[1995],[1952,13400,2834],{"className":13401},[1995,1996],[1952,13403,13405],{"className":13404},[2165],[1952,13406,13408],{"className":13407},[2169],[1952,13409,13411],{"className":13410},[2174],[1952,13412,13414],{"className":13413,"style":6267},[2178],[1952,13415,13416,13419],{"style":6270},[1952,13417],{"className":13418,"style":2187},[2186],[1952,13420,13422],{"className":13421},[2191,2192,2193,2194],[1952,13423,5431],{"className":13424},[5482,2194],[1952,13426,2303],{"className":13427},[2426],[1952,13429,2128],{"className":13430,"style":2161},[1995,1996],[1952,13432,2312],{"className":13433},[2470],[1952,13435,2024],{"className":13436},[2078],[1952,13438],{"className":13439,"style":2082},[2056],[1952,13441,13443,13446],{"className":13442},[1995],[1952,13444,2128],{"className":13445,"style":2161},[1995,1996],[1952,13447,13449],{"className":13448},[2165],[1952,13450,13452,13472],{"className":13451},[2169,2170],[1952,13453,13455,13469],{"className":13454},[2174],[1952,13456,13458],{"className":13457,"style":2179},[2178],[1952,13459,13460,13463],{"style":2182},[1952,13461],{"className":13462,"style":2187},[2186],[1952,13464,13466],{"className":13465},[2191,2192,2193,2194],[1952,13467,2013],{"className":13468},[1995,1996,2194],[1952,13470,2202],{"className":13471},[2201],[1952,13473,13475],{"className":13474},[2174],[1952,13476,13478],{"className":13477,"style":2209},[2178],[1952,13479],{},[1952,13481,2312],{"className":13482},[2470],[1952,13484],{"className":13485,"style":8948},[2056],[1952,13487,3607],{"className":13488},[5482],[1952,13490],{"className":13491,"style":8948},[2056],[1952,13493,13495,13498,13538,13541,13544],{"className":13494},[1986],[1952,13496],{"className":13497,"style":2380},[1990],[1952,13499,13501,13504],{"className":13500},[1995],[1952,13502,12116],{"className":13503},[1995,1996],[1952,13505,13507],{"className":13506},[2165],[1952,13508,13510,13530],{"className":13509},[2169,2170],[1952,13511,13513,13527],{"className":13512},[2174],[1952,13514,13516],{"className":13515,"style":2179},[2178],[1952,13517,13518,13521],{"style":2248},[1952,13519],{"className":13520,"style":2187},[2186],[1952,13522,13524],{"className":13523},[2191,2192,2193,2194],[1952,13525,2013],{"className":13526},[1995,1996,2194],[1952,13528,2202],{"className":13529},[2201],[1952,13531,13533],{"className":13532},[2174],[1952,13534,13536],{"className":13535,"style":2209},[2178],[1952,13537],{},[1952,13539,2303],{"className":13540},[2426],[1952,13542,2128],{"className":13543,"style":2161},[1995,1996],[1952,13545,2312],{"className":13546},[2470],[1798,13548,13549,13550,1946],{},"代入 ",[1952,13551,13553,13570],{"className":13552},[1955],[1952,13554,13556],{"className":13555},[1959],[1961,13557,13558],{"xmlns":1963},[1965,13559,13560,13568],{},[1968,13561,13562],{},[2124,13563,13564,13566],{},[1971,13565,12116],{},[1971,13567,2013],{},[1975,13569,12985],{"encoding":1977},[1952,13571,13573],{"className":13572,"ariaHidden":1982},[1981],[1952,13574,13576,13579],{"className":13575},[1986],[1952,13577],{"className":13578,"style":12995},[1990],[1952,13580,13582,13585],{"className":13581},[1995],[1952,13583,12116],{"className":13584},[1995,1996],[1952,13586,13588],{"className":13587},[2165],[1952,13589,13591,13611],{"className":13590},[2169,2170],[1952,13592,13594,13608],{"className":13593},[2174],[1952,13595,13597],{"className":13596,"style":2179},[2178],[1952,13598,13599,13602],{"style":2248},[1952,13600],{"className":13601,"style":2187},[2186],[1952,13603,13605],{"className":13604},[2191,2192,2193,2194],[1952,13606,2013],{"className":13607},[1995,1996,2194],[1952,13609,2202],{"className":13610},[2201],[1952,13612,13614],{"className":13613},[2174],[1952,13615,13617],{"className":13616,"style":2209},[2178],[1952,13618],{},[1952,13620,13622],{"className":13621},[3565],[1952,13623,13625,13778],{"className":13624},[1955],[1952,13626,13628],{"className":13627},[1959],[1961,13629,13630],{"xmlns":1963,"display":3574},[1965,13631,13632,13775],{},[1968,13633,13634,13640,13642,13644,13646,13648,13654,13656,13662,13664,13666,13668,13670,13676,13678,13681,13693,13699,13701,13707,13709,13711,13713,13715,13721,13723,13725,13737,13743,13745,13751,13753,13763,13765,13767,13773],{},[2124,13635,13636,13638],{},[1971,13637,13221],{},[1971,13639,2013],{},[2015,13641,2303],{"stretchy":2302},[1971,13643,2128],{},[2015,13645,2312],{"stretchy":2302},[2015,13647,2017],{},[2124,13649,13650,13652],{},[1971,13651,2827],{},[1971,13653,2013],{},[2015,13655,2303],{"stretchy":2302},[5424,13657,13658,13660],{},[1971,13659,2834],{},[2015,13661,5431],{},[2015,13663,2303],{"stretchy":2302},[1971,13665,2128],{},[2015,13667,2312],{"stretchy":2302},[2015,13669,2024],{"separator":1982},[2124,13671,13672,13674],{},[1971,13673,2128],{},[1971,13675,2013],{},[2015,13677,2312],{"stretchy":2302},[2015,13679,13680],{},"+",[7794,13682,13683,13685],{},[2015,13684,11731],{},[1968,13686,13687,13689,13691],{},[1971,13688,8435],{},[2015,13690,8438],{"mathvariant":2138},[1971,13692,2013],{},[2124,13694,13695,13697],{},[1971,13696,2827],{},[1971,13698,8435],{},[2015,13700,2303],{"stretchy":2302},[5424,13702,13703,13705],{},[1971,13704,2834],{},[2015,13706,5431],{},[2015,13708,2303],{"stretchy":2302},[1971,13710,2128],{},[2015,13712,2312],{"stretchy":2302},[2015,13714,2024],{"separator":1982},[2124,13716,13717,13719],{},[1971,13718,2128],{},[1971,13720,8435],{},[2015,13722,2312],{"stretchy":2302},[2015,13724,3607],{},[7794,13726,13727,13729],{},[2015,13728,11731],{},[1968,13730,13731,13733,13735],{},[1971,13732,8435],{},[2015,13734,8438],{"mathvariant":2138},[1971,13736,2013],{},[2124,13738,13739,13741],{},[1971,13740,2827],{},[1971,13742,8435],{},[2015,13744,2303],{"stretchy":2302},[5424,13746,13747,13749],{},[1971,13748,2834],{},[2015,13750,5431],{},[2015,13752,2303],{"stretchy":2302},[2124,13754,13755,13757],{},[1971,13756,2128],{},[1968,13758,13759,13761],{},[2015,13760,3607],{},[1971,13762,2013],{},[2015,13764,2312],{"stretchy":2302},[2015,13766,2024],{"separator":1982},[2124,13768,13769,13771],{},[1971,13770,2128],{},[1971,13772,8435],{},[2015,13774,2312],{"stretchy":2302},[1975,13776,13777],{"encoding":1977},"U_i(\\theta) = u_i(x^*(\\theta), \\theta_i) + \\sum_{j \\neq i} u_j(x^*(\\theta), \\theta_j) - \\sum_{j \\neq i} u_j(x^*(\\theta_{-i}), \\theta_j)",[1952,13779,13781,13845,13990,14224],{"className":13780,"ariaHidden":1982},[1981],[1952,13782,13784,13787,13827,13830,13833,13836,13839,13842],{"className":13783},[1986],[1952,13785],{"className":13786,"style":2380},[1990],[1952,13788,13790,13793],{"className":13789},[1995],[1952,13791,13221],{"className":13792,"style":1997},[1995,1996],[1952,13794,13796],{"className":13795},[2165],[1952,13797,13799,13819],{"className":13798},[2169,2170],[1952,13800,13802,13816],{"className":13801},[2174],[1952,13803,13805],{"className":13804,"style":2179},[2178],[1952,13806,13807,13810],{"style":13308},[1952,13808],{"className":13809,"style":2187},[2186],[1952,13811,13813],{"className":13812},[2191,2192,2193,2194],[1952,13814,2013],{"className":13815},[1995,1996,2194],[1952,13817,2202],{"className":13818},[2201],[1952,13820,13822],{"className":13821},[2174],[1952,13823,13825],{"className":13824,"style":2209},[2178],[1952,13826],{},[1952,13828,2303],{"className":13829},[2426],[1952,13831,2128],{"className":13832,"style":2161},[1995,1996],[1952,13834,2312],{"className":13835},[2470],[1952,13837],{"className":13838,"style":2057},[2056],[1952,13840,2017],{"className":13841},[2061],[1952,13843],{"className":13844,"style":2057},[2056],[1952,13846,13848,13851,13891,13894,13923,13926,13929,13932,13935,13938,13978,13981,13984,13987],{"className":13847},[1986],[1952,13849],{"className":13850,"style":2380},[1990],[1952,13852,13854,13857],{"className":13853},[1995],[1952,13855,2827],{"className":13856},[1995,1996],[1952,13858,13860],{"className":13859},[2165],[1952,13861,13863,13883],{"className":13862},[2169,2170],[1952,13864,13866,13880],{"className":13865},[2174],[1952,13867,13869],{"className":13868,"style":2179},[2178],[1952,13870,13871,13874],{"style":2248},[1952,13872],{"className":13873,"style":2187},[2186],[1952,13875,13877],{"className":13876},[2191,2192,2193,2194],[1952,13878,2013],{"className":13879},[1995,1996,2194],[1952,13881,2202],{"className":13882},[2201],[1952,13884,13886],{"className":13885},[2174],[1952,13887,13889],{"className":13888,"style":2209},[2178],[1952,13890],{},[1952,13892,2303],{"className":13893},[2426],[1952,13895,13897,13900],{"className":13896},[1995],[1952,13898,2834],{"className":13899},[1995,1996],[1952,13901,13903],{"className":13902},[2165],[1952,13904,13906],{"className":13905},[2169],[1952,13907,13909],{"className":13908},[2174],[1952,13910,13912],{"className":13911,"style":6267},[2178],[1952,13913,13914,13917],{"style":6270},[1952,13915],{"className":13916,"style":2187},[2186],[1952,13918,13920],{"className":13919},[2191,2192,2193,2194],[1952,13921,5431],{"className":13922},[5482,2194],[1952,13924,2303],{"className":13925},[2426],[1952,13927,2128],{"className":13928,"style":2161},[1995,1996],[1952,13930,2312],{"className":13931},[2470],[1952,13933,2024],{"className":13934},[2078],[1952,13936],{"className":13937,"style":2082},[2056],[1952,13939,13941,13944],{"className":13940},[1995],[1952,13942,2128],{"className":13943,"style":2161},[1995,1996],[1952,13945,13947],{"className":13946},[2165],[1952,13948,13950,13970],{"className":13949},[2169,2170],[1952,13951,13953,13967],{"className":13952},[2174],[1952,13954,13956],{"className":13955,"style":2179},[2178],[1952,13957,13958,13961],{"style":2182},[1952,13959],{"className":13960,"style":2187},[2186],[1952,13962,13964],{"className":13963},[2191,2192,2193,2194],[1952,13965,2013],{"className":13966},[1995,1996,2194],[1952,13968,2202],{"className":13969},[2201],[1952,13971,13973],{"className":13972},[2174],[1952,13974,13976],{"className":13975,"style":2209},[2178],[1952,13977],{},[1952,13979,2312],{"className":13980},[2470],[1952,13982],{"className":13983,"style":8948},[2056],[1952,13985,13680],{"className":13986},[5482],[1952,13988],{"className":13989,"style":8948},[2056],[1952,13991,13993,13996,14082,14085,14125,14128,14157,14160,14163,14166,14169,14172,14212,14215,14218,14221],{"className":13992},[1986],[1952,13994],{"className":13995,"style":12297},[1990],[1952,13997,13999],{"className":13998},[7832,7833],[1952,14000,14002,14074],{"className":14001},[2169,2170],[1952,14003,14005,14071],{"className":14004},[2174],[1952,14006,14008,14061],{"className":14007,"style":12310},[2178],[1952,14009,14010,14013],{"style":12313},[1952,14011],{"className":14012,"style":11915},[2186],[1952,14014,14016],{"className":14015},[2191,2192,2193,2194],[1952,14017,14019,14022,14058],{"className":14018},[1995,2194],[1952,14020,8435],{"className":14021,"style":8538},[1995,1996,2194],[1952,14023,14025,14052,14055],{"className":14024},[2061,2194],[1952,14026,14028],{"className":14027},[2061,2194],[1952,14029,14031],{"className":14030},[1995,8548,2194],[1952,14032,14034],{"className":14033},[8552,2194],[1952,14035,14037,14040,14049],{"className":14036},[8556,2194],[1952,14038],{"className":14039,"style":2730},[1990],[1952,14041,14043],{"className":14042},[8563],[1952,14044,14046],{"className":14045},[1995,2194],[1952,14047,8570],{"className":14048},[2061,2194],[1952,14050],{"className":14051},[8574],[1952,14053],{"className":14054},[2056,8578,2194],[1952,14056,2017],{"className":14057},[2061,2194],[1952,14059,2013],{"className":14060},[1995,1996,2194],[1952,14062,14063,14066],{"style":11933},[1952,14064],{"className":14065,"style":11915},[2186],[1952,14067,14068],{},[1952,14069,11731],{"className":14070},[7832,11942,11943],[1952,14072,2202],{"className":14073},[2201],[1952,14075,14077],{"className":14076},[2174],[1952,14078,14080],{"className":14079,"style":12384},[2178],[1952,14081],{},[1952,14083],{"className":14084,"style":2082},[2056],[1952,14086,14088,14091],{"className":14087},[1995],[1952,14089,2827],{"className":14090},[1995,1996],[1952,14092,14094],{"className":14093},[2165],[1952,14095,14097,14117],{"className":14096},[2169,2170],[1952,14098,14100,14114],{"className":14099},[2174],[1952,14101,14103],{"className":14102,"style":2179},[2178],[1952,14104,14105,14108],{"style":2248},[1952,14106],{"className":14107,"style":2187},[2186],[1952,14109,14111],{"className":14110},[2191,2192,2193,2194],[1952,14112,8435],{"className":14113,"style":8538},[1995,1996,2194],[1952,14115,2202],{"className":14116},[2201],[1952,14118,14120],{"className":14119},[2174],[1952,14121,14123],{"className":14122,"style":8594},[2178],[1952,14124],{},[1952,14126,2303],{"className":14127},[2426],[1952,14129,14131,14134],{"className":14130},[1995],[1952,14132,2834],{"className":14133},[1995,1996],[1952,14135,14137],{"className":14136},[2165],[1952,14138,14140],{"className":14139},[2169],[1952,14141,14143],{"className":14142},[2174],[1952,14144,14146],{"className":14145,"style":6267},[2178],[1952,14147,14148,14151],{"style":6270},[1952,14149],{"className":14150,"style":2187},[2186],[1952,14152,14154],{"className":14153},[2191,2192,2193,2194],[1952,14155,5431],{"className":14156},[5482,2194],[1952,14158,2303],{"className":14159},[2426],[1952,14161,2128],{"className":14162,"style":2161},[1995,1996],[1952,14164,2312],{"className":14165},[2470],[1952,14167,2024],{"className":14168},[2078],[1952,14170],{"className":14171,"style":2082},[2056],[1952,14173,14175,14178],{"className":14174},[1995],[1952,14176,2128],{"className":14177,"style":2161},[1995,1996],[1952,14179,14181],{"className":14180},[2165],[1952,14182,14184,14204],{"className":14183},[2169,2170],[1952,14185,14187,14201],{"className":14186},[2174],[1952,14188,14190],{"className":14189,"style":2179},[2178],[1952,14191,14192,14195],{"style":2182},[1952,14193],{"className":14194,"style":2187},[2186],[1952,14196,14198],{"className":14197},[2191,2192,2193,2194],[1952,14199,8435],{"className":14200,"style":8538},[1995,1996,2194],[1952,14202,2202],{"className":14203},[2201],[1952,14205,14207],{"className":14206},[2174],[1952,14208,14210],{"className":14209,"style":8594},[2178],[1952,14211],{},[1952,14213,2312],{"className":14214},[2470],[1952,14216],{"className":14217,"style":8948},[2056],[1952,14219,3607],{"className":14220},[5482],[1952,14222],{"className":14223,"style":8948},[2056],[1952,14225,14227,14230,14316,14319,14359,14362,14391,14394,14440,14443,14446,14449,14489],{"className":14226},[1986],[1952,14228],{"className":14229,"style":12297},[1990],[1952,14231,14233],{"className":14232},[7832,7833],[1952,14234,14236,14308],{"className":14235},[2169,2170],[1952,14237,14239,14305],{"className":14238},[2174],[1952,14240,14242,14295],{"className":14241,"style":12310},[2178],[1952,14243,14244,14247],{"style":12313},[1952,14245],{"className":14246,"style":11915},[2186],[1952,14248,14250],{"className":14249},[2191,2192,2193,2194],[1952,14251,14253,14256,14292],{"className":14252},[1995,2194],[1952,14254,8435],{"className":14255,"style":8538},[1995,1996,2194],[1952,14257,14259,14286,14289],{"className":14258},[2061,2194],[1952,14260,14262],{"className":14261},[2061,2194],[1952,14263,14265],{"className":14264},[1995,8548,2194],[1952,14266,14268],{"className":14267},[8552,2194],[1952,14269,14271,14274,14283],{"className":14270},[8556,2194],[1952,14272],{"className":14273,"style":2730},[1990],[1952,14275,14277],{"className":14276},[8563],[1952,14278,14280],{"className":14279},[1995,2194],[1952,14281,8570],{"className":14282},[2061,2194],[1952,14284],{"className":14285},[8574],[1952,14287],{"className":14288},[2056,8578,2194],[1952,14290,2017],{"className":14291},[2061,2194],[1952,14293,2013],{"className":14294},[1995,1996,2194],[1952,14296,14297,14300],{"style":11933},[1952,14298],{"className":14299,"style":11915},[2186],[1952,14301,14302],{},[1952,14303,11731],{"className":14304},[7832,11942,11943],[1952,14306,2202],{"className":14307},[2201],[1952,14309,14311],{"className":14310},[2174],[1952,14312,14314],{"className":14313,"style":12384},[2178],[1952,14315],{},[1952,14317],{"className":14318,"style":2082},[2056],[1952,14320,14322,14325],{"className":14321},[1995],[1952,14323,2827],{"className":14324},[1995,1996],[1952,14326,14328],{"className":14327},[2165],[1952,14329,14331,14351],{"className":14330},[2169,2170],[1952,14332,14334,14348],{"className":14333},[2174],[1952,14335,14337],{"className":14336,"style":2179},[2178],[1952,14338,14339,14342],{"style":2248},[1952,14340],{"className":14341,"style":2187},[2186],[1952,14343,14345],{"className":14344},[2191,2192,2193,2194],[1952,14346,8435],{"className":14347,"style":8538},[1995,1996,2194],[1952,14349,2202],{"className":14350},[2201],[1952,14352,14354],{"className":14353},[2174],[1952,14355,14357],{"className":14356,"style":8594},[2178],[1952,14358],{},[1952,14360,2303],{"className":14361},[2426],[1952,14363,14365,14368],{"className":14364},[1995],[1952,14366,2834],{"className":14367},[1995,1996],[1952,14369,14371],{"className":14370},[2165],[1952,14372,14374],{"className":14373},[2169],[1952,14375,14377],{"className":14376},[2174],[1952,14378,14380],{"className":14379,"style":6267},[2178],[1952,14381,14382,14385],{"style":6270},[1952,14383],{"className":14384,"style":2187},[2186],[1952,14386,14388],{"className":14387},[2191,2192,2193,2194],[1952,14389,5431],{"className":14390},[5482,2194],[1952,14392,2303],{"className":14393},[2426],[1952,14395,14397,14400],{"className":14396},[1995],[1952,14398,2128],{"className":14399,"style":2161},[1995,1996],[1952,14401,14403],{"className":14402},[2165],[1952,14404,14406,14432],{"className":14405},[2169,2170],[1952,14407,14409,14429],{"className":14408},[2174],[1952,14410,14412],{"className":14411,"style":2179},[2178],[1952,14413,14414,14417],{"style":2182},[1952,14415],{"className":14416,"style":2187},[2186],[1952,14418,14420],{"className":14419},[2191,2192,2193,2194],[1952,14421,14423,14426],{"className":14422},[1995,2194],[1952,14424,3607],{"className":14425},[1995,2194],[1952,14427,2013],{"className":14428},[1995,1996,2194],[1952,14430,2202],{"className":14431},[2201],[1952,14433,14435],{"className":14434},[2174],[1952,14436,14438],{"className":14437,"style":3858},[2178],[1952,14439],{},[1952,14441,2312],{"className":14442},[2470],[1952,14444,2024],{"className":14445},[2078],[1952,14447],{"className":14448,"style":2082},[2056],[1952,14450,14452,14455],{"className":14451},[1995],[1952,14453,2128],{"className":14454,"style":2161},[1995,1996],[1952,14456,14458],{"className":14457},[2165],[1952,14459,14461,14481],{"className":14460},[2169,2170],[1952,14462,14464,14478],{"className":14463},[2174],[1952,14465,14467],{"className":14466,"style":2179},[2178],[1952,14468,14469,14472],{"style":2182},[1952,14470],{"className":14471,"style":2187},[2186],[1952,14473,14475],{"className":14474},[2191,2192,2193,2194],[1952,14476,8435],{"className":14477,"style":8538},[1995,1996,2194],[1952,14479,2202],{"className":14480},[2201],[1952,14482,14484],{"className":14483},[2174],[1952,14485,14487],{"className":14486,"style":8594},[2178],[1952,14488],{},[1952,14490,2312],{"className":14491},[2470],[1798,14493,9411,14494,14522,14523,14624,14625,14836],{},[1952,14495,14497,14510],{"className":14496},[1955],[1952,14498,14500],{"className":14499},[1959],[1961,14501,14502],{"xmlns":1963},[1965,14503,14504,14508],{},[1968,14505,14506],{},[1971,14507,2013],{},[1975,14509,2013],{"encoding":1977},[1952,14511,14513],{"className":14512,"ariaHidden":1982},[1981],[1952,14514,14516,14519],{"className":14515},[1986],[1952,14517],{"className":14518,"style":2049},[1990],[1952,14520,2013],{"className":14521},[1995,1996]," 谎报为 ",[1952,14524,14526,14547],{"className":14525},[1955],[1952,14527,14529],{"className":14528},[1959],[1961,14530,14531],{"xmlns":1963},[1965,14532,14533,14545],{},[1968,14534,14535],{},[2124,14536,14537,14543],{},[3119,14538,14539,14541],{"accent":1982},[1971,14540,2128],{},[2015,14542,3125],{},[1971,14544,2013],{},[1975,14546,3130],{"encoding":1977},[1952,14548,14550],{"className":14549,"ariaHidden":1982},[1981],[1952,14551,14553,14556],{"className":14552},[1986],[1952,14554],{"className":14555,"style":3140},[1990],[1952,14557,14559,14590],{"className":14558},[1995],[1952,14560,14562],{"className":14561},[1995,3147],[1952,14563,14565],{"className":14564},[2169],[1952,14566,14568],{"className":14567},[2174],[1952,14569,14571,14579],{"className":14570,"style":3157},[2178],[1952,14572,14573,14576],{"style":3160},[1952,14574],{"className":14575,"style":3164},[2186],[1952,14577,2128],{"className":14578,"style":2161},[1995,1996],[1952,14580,14581,14584],{"style":3170},[1952,14582],{"className":14583,"style":3164},[2186],[1952,14585,14587],{"className":14586,"style":3178},[3177],[1952,14588,3125],{"className":14589},[1995],[1952,14591,14593],{"className":14592},[2165],[1952,14594,14596,14616],{"className":14595},[2169,2170],[1952,14597,14599,14613],{"className":14598},[2174],[1952,14600,14602],{"className":14601,"style":2179},[2178],[1952,14603,14604,14607],{"style":2182},[1952,14605],{"className":14606,"style":2187},[2186],[1952,14608,14610],{"className":14609},[2191,2192,2193,2194],[1952,14611,2013],{"className":14612},[1995,1996,2194],[1952,14614,2202],{"className":14615},[2201],[1952,14617,14619],{"className":14618},[2174],[1952,14620,14622],{"className":14621,"style":2209},[2178],[1952,14623],{},"，结果变为 ",[1952,14626,14628,14672],{"className":14627},[1955],[1952,14629,14631],{"className":14630},[1959],[1961,14632,14633],{"xmlns":1963},[1965,14634,14635,14669],{},[1968,14636,14637,14643,14645,14655,14657,14667],{},[5424,14638,14639,14641],{},[1971,14640,2834],{},[2015,14642,5431],{},[2015,14644,2303],{"stretchy":2302},[2124,14646,14647,14653],{},[3119,14648,14649,14651],{"accent":1982},[1971,14650,2128],{},[2015,14652,3125],{},[1971,14654,2013],{},[2015,14656,2024],{"separator":1982},[2124,14658,14659,14661],{},[1971,14660,2128],{},[1968,14662,14663,14665],{},[2015,14664,3607],{},[1971,14666,2013],{},[2015,14668,2312],{"stretchy":2302},[1975,14670,14671],{"encoding":1977},"x^*(\\hat{\\theta}_i, \\theta_{-i})",[1952,14673,14675],{"className":14674,"ariaHidden":1982},[1981],[1952,14676,14678,14681,14710,14713,14781,14784,14787,14833],{"className":14677},[1986],[1952,14679],{"className":14680,"style":3339},[1990],[1952,14682,14684,14687],{"className":14683},[1995],[1952,14685,2834],{"className":14686},[1995,1996],[1952,14688,14690],{"className":14689},[2165],[1952,14691,14693],{"className":14692},[2169],[1952,14694,14696],{"className":14695},[2174],[1952,14697,14699],{"className":14698,"style":5469},[2178],[1952,14700,14701,14704],{"style":5472},[1952,14702],{"className":14703,"style":2187},[2186],[1952,14705,14707],{"className":14706},[2191,2192,2193,2194],[1952,14708,5431],{"className":14709},[5482,2194],[1952,14711,2303],{"className":14712},[2426],[1952,14714,14716,14747],{"className":14715},[1995],[1952,14717,14719],{"className":14718},[1995,3147],[1952,14720,14722],{"className":14721},[2169],[1952,14723,14725],{"className":14724},[2174],[1952,14726,14728,14736],{"className":14727,"style":3157},[2178],[1952,14729,14730,14733],{"style":3160},[1952,14731],{"className":14732,"style":3164},[2186],[1952,14734,2128],{"className":14735,"style":2161},[1995,1996],[1952,14737,14738,14741],{"style":3170},[1952,14739],{"className":14740,"style":3164},[2186],[1952,14742,14744],{"className":14743,"style":3178},[3177],[1952,14745,3125],{"className":14746},[1995],[1952,14748,14750],{"className":14749},[2165],[1952,14751,14753,14773],{"className":14752},[2169,2170],[1952,14754,14756,14770],{"className":14755},[2174],[1952,14757,14759],{"className":14758,"style":2179},[2178],[1952,14760,14761,14764],{"style":2182},[1952,14762],{"className":14763,"style":2187},[2186],[1952,14765,14767],{"className":14766},[2191,2192,2193,2194],[1952,14768,2013],{"className":14769},[1995,1996,2194],[1952,14771,2202],{"className":14772},[2201],[1952,14774,14776],{"className":14775},[2174],[1952,14777,14779],{"className":14778,"style":2209},[2178],[1952,14780],{},[1952,14782,2024],{"className":14783},[2078],[1952,14785],{"className":14786,"style":2082},[2056],[1952,14788,14790,14793],{"className":14789},[1995],[1952,14791,2128],{"className":14792,"style":2161},[1995,1996],[1952,14794,14796],{"className":14795},[2165],[1952,14797,14799,14825],{"className":14798},[2169,2170],[1952,14800,14802,14822],{"className":14801},[2174],[1952,14803,14805],{"className":14804,"style":2179},[2178],[1952,14806,14807,14810],{"style":2182},[1952,14808],{"className":14809,"style":2187},[2186],[1952,14811,14813],{"className":14812},[2191,2192,2193,2194],[1952,14814,14816,14819],{"className":14815},[1995,2194],[1952,14817,3607],{"className":14818},[1995,2194],[1952,14820,2013],{"className":14821},[1995,1996,2194],[1952,14823,2202],{"className":14824},[2201],[1952,14826,14828],{"className":14827},[2174],[1952,14829,14831],{"className":14830,"style":3858},[2178],[1952,14832],{},[1952,14834,2312],{"className":14835},[2470],"，其净效用为：",[1952,14838,14840],{"className":14839},[3565],[1952,14841,14843,15055],{"className":14842},[1955],[1952,14844,14846],{"className":14845},[1959],[1961,14847,14848],{"xmlns":1963,"display":3574},[1965,14849,14850,15052],{},[1968,14851,14852,14858,14860,14870,14872,14882,14884,14886,14892,14894,14900,14902,14912,14914,14924,14926,14928,14934,14936,14938,14950,14956,14958,14964,14966,14976,14978,14988,14990,14992,14998,15000,15002,15014,15020,15022,15028,15030,15040,15042,15044,15050],{},[2124,14853,14854,14856],{},[1971,14855,13221],{},[1971,14857,2013],{},[2015,14859,2303],{"stretchy":2302},[2124,14861,14862,14868],{},[3119,14863,14864,14866],{"accent":1982},[1971,14865,2128],{},[2015,14867,3125],{},[1971,14869,2013],{},[2015,14871,2024],{"separator":1982},[2124,14873,14874,14876],{},[1971,14875,2128],{},[1968,14877,14878,14880],{},[2015,14879,3607],{},[1971,14881,2013],{},[2015,14883,2312],{"stretchy":2302},[2015,14885,2017],{},[2124,14887,14888,14890],{},[1971,14889,2827],{},[1971,14891,2013],{},[2015,14893,2303],{"stretchy":2302},[5424,14895,14896,14898],{},[1971,14897,2834],{},[2015,14899,5431],{},[2015,14901,2303],{"stretchy":2302},[2124,14903,14904,14910],{},[3119,14905,14906,14908],{"accent":1982},[1971,14907,2128],{},[2015,14909,3125],{},[1971,14911,2013],{},[2015,14913,2024],{"separator":1982},[2124,14915,14916,14918],{},[1971,14917,2128],{},[1968,14919,14920,14922],{},[2015,14921,3607],{},[1971,14923,2013],{},[2015,14925,2312],{"stretchy":2302},[2015,14927,2024],{"separator":1982},[2124,14929,14930,14932],{},[1971,14931,2128],{},[1971,14933,2013],{},[2015,14935,2312],{"stretchy":2302},[2015,14937,13680],{},[7794,14939,14940,14942],{},[2015,14941,11731],{},[1968,14943,14944,14946,14948],{},[1971,14945,8435],{},[2015,14947,8438],{"mathvariant":2138},[1971,14949,2013],{},[2124,14951,14952,14954],{},[1971,14953,2827],{},[1971,14955,8435],{},[2015,14957,2303],{"stretchy":2302},[5424,14959,14960,14962],{},[1971,14961,2834],{},[2015,14963,5431],{},[2015,14965,2303],{"stretchy":2302},[2124,14967,14968,14974],{},[3119,14969,14970,14972],{"accent":1982},[1971,14971,2128],{},[2015,14973,3125],{},[1971,14975,2013],{},[2015,14977,2024],{"separator":1982},[2124,14979,14980,14982],{},[1971,14981,2128],{},[1968,14983,14984,14986],{},[2015,14985,3607],{},[1971,14987,2013],{},[2015,14989,2312],{"stretchy":2302},[2015,14991,2024],{"separator":1982},[2124,14993,14994,14996],{},[1971,14995,2128],{},[1971,14997,8435],{},[2015,14999,2312],{"stretchy":2302},[2015,15001,3607],{},[7794,15003,15004,15006],{},[2015,15005,11731],{},[1968,15007,15008,15010,15012],{},[1971,15009,8435],{},[2015,15011,8438],{"mathvariant":2138},[1971,15013,2013],{},[2124,15015,15016,15018],{},[1971,15017,2827],{},[1971,15019,8435],{},[2015,15021,2303],{"stretchy":2302},[5424,15023,15024,15026],{},[1971,15025,2834],{},[2015,15027,5431],{},[2015,15029,2303],{"stretchy":2302},[2124,15031,15032,15034],{},[1971,15033,2128],{},[1968,15035,15036,15038],{},[2015,15037,3607],{},[1971,15039,2013],{},[2015,15041,2312],{"stretchy":2302},[2015,15043,2024],{"separator":1982},[2124,15045,15046,15048],{},[1971,15047,2128],{},[1971,15049,8435],{},[2015,15051,2312],{"stretchy":2302},[1975,15053,15054],{"encoding":1977},"U_i(\\hat{\\theta}_i, \\theta_{-i}) = u_i(x^*(\\hat{\\theta}_i, \\theta_{-i}), \\theta_i) + \\sum_{j \\neq i} u_j(x^*(\\hat{\\theta}_i, \\theta_{-i}), \\theta_j) - \\sum_{j \\neq i} u_j(x^*(\\theta_{-i}), 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\\theta_i) + \\sum_{j \\neq i} u_j(x^*(\\theta), \\theta_j) \\geq u_i(x^*(\\hat{\\theta}_i, \\theta_{-i}), \\theta_i) + \\sum_{j \\neq i} u_j(x^*(\\hat{\\theta}_i, \\theta_{-i}), 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ssName":16678},[2201],[1952,16680,16682],{"className":16681},[2174],[1952,16683,16685],{"className":16684,"style":8594},[2178],[1952,16686],{},[1952,16688,2303],{"className":16689},[2426],[1952,16691,16693,16696],{"className":16692},[1995],[1952,16694,2834],{"className":16695},[1995,1996],[1952,16697,16699],{"className":16698},[2165],[1952,16700,16702],{"className":16701},[2169],[1952,16703,16705],{"className":16704},[2174],[1952,16706,16708],{"className":16707,"style":6267},[2178],[1952,16709,16710,16713],{"style":6270},[1952,16711],{"className":16712,"style":2187},[2186],[1952,16714,16716],{"className":16715},[2191,2192,2193,2194],[1952,16717,5431],{"className":16718},[5482,2194],[1952,16720,2303],{"className":16721},[2426],[1952,16723,2128],{"className":16724,"style":2161},[1995,1996],[1952,16726,2312],{"className":16727},[2470],[1952,16729,2024],{"className":16730},[2078],[1952,16732],{"className":16733,"style":2082},[2056],[1952,16735,16737,16740],{"className":16736},[1995],[1952,16738,2128],{"className":16739,"style":2161},[1995,1996],[1952,16741,16743],{"className":16742},[2165],[1952,16744,16746,16766],{"className":16745},[2169,2170],[1952,16747,16749,16763],{"className":16748},[2174],[1952,16750,16752],{"className":16751,"style":2179},[2178],[1952,16753,16754,16757],{"style":2182},[1952,16755],{"className":16756,"style":2187},[2186],[1952,16758,16760],{"className":16759},[2191,2192,2193,2194],[1952,16761,8435],{"className":16762,"style":8538},[1995,1996,2194],[1952,16764,2202],{"className":16765},[2201],[1952,16767,16769],{"className":16768},[2174],[1952,16770,16772],{"className":16771,"style":8594},[2178],[1952,16773],{},[1952,16775,2312],{"className":16776},[2470],[1952,16778],{"className":16779,"style":2057},[2056],[1952,16781,3624],{"className":16782},[2061],[1952,16784],{"className":16785,"style":2057},[2056],[1952,16787,16789,16792,16832,16835,16864,16867,16935,16938,16941,16987,16990,16993,16996,17036,17039,17042,17045],{"className":16788},[1986],[1952,16790],{"className":16791,"style":3339},[1990],[1952,16793,16795,16798],{"className":16794},[1995],[1952,16796,2827],{"className":16797},[1995,1996],[1952,16799,16801],{"className":16800},[2165],[1952,16802,16804,16824],{"className":16803},[2169,2170],[1952,16805,16807,16821],{"className":16806},[2174],[1952,16808,16810],{"className":16809,"style":2179},[2178],[1952,16811,16812,16815],{"style":2248},[1952,16813],{"className":16814,"style":2187},[2186],[1952,16816,16818],{"className":16817},[2191,2192,2193,2194],[1952,16819,2013],{"className":16820},[1995,1996,2194],[1952,16822,2202],{"className":16823},[2201],[1952,16825,16827],{"className":16826},[2174],[1952,16828,16830],{"className":16829,"style":2209},[2178],[1952,16831],{},[1952,16833,2303],{"className":16834},[2426],[1952,16836,16838,16841],{"className":16837},[1995],[1952,16839,2834],{"className":16840},[1995,1996],[1952,16842,16844],{"className":16843},[2165],[1952,16845,16847],{"className":16846},[2169],[1952,16848,16850],{"className":16849},[2174],[1952,16851,16853],{"className":16852,"style":6267},[2178],[1952,16854,16855,16858],{"style":6270},[1952,16856],{"className":16857,"style":2187},[2186],[1952,16859,16861],{"className":16860},[2191,2192,2193,2194],[1952,16862,5431],{"className":16863},[5482,2194],[1952,16865,2303],{"className":16866},[2426],[1952,16868,16870,16901],{"className":16869},[1995],[1952,16871,16873],{"className":16872},[1995,3147],[1952,16874,16876],{"className":16875},[2169],[1952,16877,16879],{"className":16878},[2174],[1952,16880,16882,16890],{"className":16881,"style":3157},[2178],[1952,16883,16884,16887],{"style":3160},[1952,16885],{"className":16886,"style":3164},[2186],[1952,16888,2128],{"className":16889,"style":2161},[1995,1996],[1952,16891,16892,16895],{"style":3170},[1952,16893],{"className":16894,"style":3164},[2186],[1952,16896,16898],{"className":16897,"style":3178},[3177],[1952,16899,3125],{"className":16900},[1995],[1952,16902,16904],{"className":16903},[2165],[1952,16905,16907,16927],{"className":16906},[2169,2170],[1952,16908,16910,16924],{"className":16909},[2174],[1952,16911,16913],{"className":16912,"style":2179},[2178],[1952,16914,16915,16918],{"style":2182},[1952,16916],{"className":16917,"style":2187},[2186],[1952,16919,16921],{"className":16920},[2191,2192,2193,2194],[1952,16922,2013],{"className":16923},[1995,1996,2194],[1952,16925,2202],{"className":16926},[2201],[1952,16928,16930],{"className":16929},[2174],[1952,16931,16933],{"className":16932,"style":2209},[2178],[1952,16934],{},[1952,16936,2024],{"className":16937},[2078],[1952,16939],{"className":16940,"style":2082},[2056],[1952,16942,16944,16947],{"className":16943},[1995],[1952,16945,2128],{"className":16946,"style":2161},[1995,1996],[1952,16948,16950],{"className":16949},[2165],[1952,16951,16953,16979],{"className":16952},[2169,2170],[1952,16954,16956,16976],{"className":16955},[2174],[1952,16957,16959],{"className":16958,"style":2179},[2178],[1952,16960,16961,16964],{"style":2182},[1952,16962],{"className":16963,"style":2187},[2186],[1952,16965,16967],{"className":16966},[2191,2192,2193,2194],[1952,16968,16970,16973],{"className":16969},[1995,2194],[1952,16971,3607],{"className":16972},[1995,2194],[1952,16974,2013],{"className":16975},[1995,1996,2194],[1952,16977,2202],{"className":16978},[2201],[1952,16980,16982],{"className":16981},[2174],[1952,16983,16985],{"className":16984,"style":3858},[2178],[1952,16986],{},[1952,16988,2312],{"className":16989},[2470],[1952,16991,2024],{"className":16992},[2078],[1952,16994],{"className":16995,"style":2082},[2056],[1952,16997,16999,17002],{"className":16998},[1995],[1952,17000,2128],{"className":17001,"style":2161},[1995,1996],[1952,17003,17005],{"className":17004},[2165],[1952,17006,17008,17028],{"className":17007},[2169,2170],[1952,17009,17011,17025],{"className":17010},[2174],[1952,17012,17014],{"className":17013,"style":2179},[2178],[1952,17015,17016,17019],{"style":2182},[1952,17017],{"className":17018,"style":2187},[2186],[1952,17020,17022],{"className":17021},[2191,2192,2193,2194],[1952,17023,2013],{"className":17024},[1995,1996,2194],[1952,17026,2202],{"className":17027},[2201],[1952,17029,17031],{"className":17030},[2174],[1952,17032,17034],{"className":17033,"style":2209},[2178],[1952,17035],{},[1952,17037,2312],{"className":17038},[2470],[1952,17040],{"className":17041,"style":8948},[2056],[1952,17043,13680],{"className":17044},[5482],[1952,17046],{"className":17047,"style":8948},[2056],[1952,17049,17051,17054,17140,17143,17183,17186,17215,17218,17286,17289,17292,17338,17341,17344,17347,17387],{"className":17050},[1986],[1952,17052],{"className":17053,"style":12297},[1990],[1952,17055,17057],{"className":17056},[7832,7833],[1952,17058,17060,17132],{"className":17059},[2169,2170],[1952,17061,17063,17129],{"className":17062},[2174],[1952,17064,17066,17119],{"className":17065,"style":12310},[2178],[1952,17067,17068,17071],{"style":12313},[1952,17069],{"className":17070,"style":11915},[2186],[1952,17072,17074],{"className":17073},[2191,2192,2193,2194],[1952,17075,17077,17080,17116],{"className":17076},[1995,2194],[1952,17078,8435],{"className":17079,"style":8538},[1995,1996,2194],[1952,17081,17083,17110,17113],{"className":17082},[2061,2194],[1952,17084,17086],{"className":17085},[2061,2194],[1952,17087,17089],{"className":17088},[1995,8548,2194],[1952,17090,17092],{"className":17091},[8552,2194],[1952,17093,17095,17098,17107],{"className":17094},[8556,2194],[1952,17096],{"className":17097,"style":2730},[1990],[1952,17099,17101],{"className":17100},[8563],[1952,17102,17104],{"className":17103},[1995,2194],[1952,17105,8570],{"className":17106},[2061,2194],[1952,17108],{"className":17109},[8574],[1952,17111],{"className":17112},[2056,8578,2194],[1952,17114,2017],{"className":17115},[2061,2194],[1952,17117,2013],{"className":17118},[1995,1996,2194],[1952,17120,17121,17124],{"style":11933},[1952,17122],{"className":17123,"style":11915},[2186],[1952,17125,17126],{},[1952,17127,11731],{"className":17128},[7832,11942,11943],[1952,17130,2202],{"className":17131},[2201],[1952,17133,17135],{"className":17134},[2174],[1952,17136,17138],{"className":17137,"style":12384},[2178],[1952,17139],{},[1952,17141],{"className":17142,"style":2082},[2056],[1952,17144,17146,17149],{"className":17145},[1995],[1952,17147,2827],{"className":17148},[1995,1996],[1952,17150,17152],{"className":17151},[2165],[1952,17153,17155,17175],{"className":17154},[2169,2170],[1952,17156,17158,17172],{"className":17157},[2174],[1952,17159,17161],{"className":17160,"style":2179},[2178],[1952,17162,17163,17166],{"style":2248},[1952,17164],{"className":17165,"style":2187},[2186],[1952,17167,17169],{"className":17168},[2191,2192,2193,2194],[1952,17170,8435],{"className":17171,"style":8538},[1995,1996,2194],[1952,17173,2202],{"className":17174},[2201],[1952,17176,17178],{"className":17177},[2174],[1952,17179,17181],{"className":17180,"style":8594},[2178],[1952,17182],{},[1952,17184,2303],{"className":17185},[2426],[1952,17187,17189,17192],{"className":17188},[1995],[1952,17190,2834],{"className":17191},[1995,1996],[1952,17193,17195],{"className":17194},[2165],[1952,17196,17198],{"className":17197},[2169],[1952,17199,17201],{"className":17200},[2174],[1952,17202,17204],{"className":17203,"style":6267},[2178],[1952,17205,17206,17209],{"style":6270},[1952,17207],{"className":17208,"style":2187},[2186],[1952,17210,17212],{"className":17211},[2191,2192,2193,2194],[1952,17213,5431],{"className":17214},[5482,2194],[1952,17216,2303],{"className":17217},[2426],[1952,17219,17221,17252],{"className":17220},[1995],[1952,17222,17224],{"className":17223},[1995,3147],[1952,17225,17227],{"className":17226},[2169],[1952,17228,17230],{"className":17229},[2174],[1952,17231,17233,17241],{"className":17232,"style":3157},[2178],[1952,17234,17235,17238],{"style":3160},[1952,17236],{"className":17237,"style":3164},[2186],[1952,17239,2128],{"className":17240,"style":2161},[1995,1996],[1952,17242,17243,17246],{"style":3170},[1952,17244],{"className":17245,"style":3164},[2186],[1952,17247,17249],{"className":17248,"style":3178},[3177],[1952,17250,3125],{"className":17251},[1995],[1952,17253,17255],{"className":17254},[2165],[1952,17256,17258,17278],{"className":17257},[2169,2170],[1952,17259,17261,17275],{"className":17260},[2174],[1952,17262,17264],{"className":17263,"style":2179},[2178],[1952,17265,17266,17269],{"style":2182},[1952,17267],{"className":17268,"style":2187},[2186],[1952,17270,17272],{"className":17271},[2191,2192,2193,2194],[1952,17273,2013],{"className":17274},[1995,1996,2194],[1952,17276,2202],{"className":17277},[2201],[1952,17279,17281],{"className":17280},[2174],[1952,17282,17284],{"className":17283,"style":2209},[2178],[1952,17285],{},[1952,17287,2024],{"className":17288},[2078],[1952,17290],{"className":17291,"style":2082},[2056],[1952,17293,17295,17298],{"className":17294},[1995],[1952,17296,2128],{"className":17297,"style":2161},[1995,1996],[1952,17299,17301],{"className":17300},[2165],[1952,17302,17304,17330],{"className":17303},[2169,2170],[1952,17305,17307,17327],{"className":17306},[2174],[1952,17308,17310],{"className":17309,"style":2179},[2178],[1952,17311,17312,17315],{"style":2182},[1952,17313],{"className":17314,"style":2187},[2186],[1952,17316,17318],{"className":17317},[2191,2192,2193,2194],[1952,17319,17321,17324],{"className":17320},[1995,2194],[1952,17322,3607],{"className":17323},[1995,2194],[1952,17325,2013],{"className":17326},[1995,1996,2194],[1952,17328,2202],{"className":17329},[2201],[1952,17331,17333],{"className":17332},[2174],[1952,17334,17336],{"className":17335,"style":3858},[2178],[1952,17337],{},[1952,17339,2312],{"className":17340},[2470],[1952,17342,2024],{"className":17343},[2078],[1952,17345],{"className":17346,"style":2082},[2056],[1952,17348,17350,17353],{"className":17349},[1995],[1952,17351,2128],{"className":17352,"style":2161},[1995,1996],[1952,17354,17356],{"className":17355},[2165],[1952,17357,17359,17379],{"className":17358},[2169,2170],[1952,17360,17362,17376],{"className":17361},[2174],[1952,17363,17365],{"className":17364,"style":2179},[2178],[1952,17366,17367,17370],{"style":2182},[1952,17368],{"className":17369,"style":2187},[2186],[1952,17371,17373],{"className":17372},[2191,2192,2193,2194],[1952,17374,8435],{"className":17375,"style":8538},[1995,1996,2194],[1952,17377,2202],{"className":17378},[2201],[1952,17380,17382],{"className":17381},[2174],[1952,17383,17385],{"className":17384,"style":8594},[2178],[1952,17386],{},[1952,17388,2312],{"className":17389},[2470],[1798,17391,17392,17393,17693],{},"因此 ",[1952,17394,17396,17454],{"className":17395},[1955],[1952,17397,17399],{"className":17398},[1959],[1961,17400,17401],{"xmlns":1963},[1965,17402,17403,17451],{},[1968,17404,17405,17411,17413,17415,17417,17419,17425,17427,17437,17439,17449],{},[2124,17406,17407,17409],{},[1971,17408,13221],{},[1971,17410,2013],{},[2015,17412,2303],{"stretchy":2302},[1971,17414,2128],{},[2015,17416,2312],{"stretchy":2302},[2015,17418,3624],{},[2124,17420,17421,17423],{},[1971,17422,13221],{},[1971,17424,2013],{},[2015,17426,2303],{"stretchy":2302},[2124,17428,17429,17435],{},[3119,17430,17431,17433],{"accent":1982},[1971,17432,2128],{},[2015,17434,3125],{},[1971,17436,2013],{},[2015,17438,2024],{"separator":1982},[2124,17440,17441,17443],{},[1971,17442,2128],{},[1968,17444,17445,17447],{},[2015,17446,3607],{},[1971,17448,2013],{},[2015,17450,2312],{"stretchy":2302},[1975,17452,17453],{"encoding":1977},"U_i(\\theta) \\geq U_i(\\hat{\\theta}_i, \\theta_{-i})",[1952,17455,17457,17521],{"className":17456,"ariaHidden":1982},[1981],[1952,17458,17460,17463,17503,17506,17509,17512,17515,17518],{"className":17459},[1986],[1952,17461],{"className":17462,"style":2380},[1990],[1952,17464,17466,17469],{"className":17465},[1995],[1952,17467,13221],{"className":17468,"style":1997},[1995,1996],[1952,17470,17472],{"className":17471},[2165],[1952,17473,17475,17495],{"className":17474},[2169,2170],[1952,17476,17478,17492],{"className":17477},[2174],[1952,17479,17481],{"className":17480,"style":2179},[2178],[1952,17482,17483,17486],{"style":13308},[1952,17484],{"className":17485,"style":2187},[2186],[1952,17487,17489],{"className":17488},[2191,2192,2193,2194],[1952,17490,2013],{"className":17491},[1995,1996,2194],[1952,17493,2202],{"className":17494},[2201],[1952,17496,17498],{"className":17497},[2174],[1952,17499,17501],{"className":17500,"style":2209},[2178],[1952,17502],{},[1952,17504,2303],{"className":17505},[2426],[1952,17507,2128],{"className":17508,"style":2161},[1995,1996],[1952,17510,2312],{"className":17511},[2470],[1952,17513],{"className":17514,"style":2057},[2056],[1952,17516,3624],{"className":17517},[2061],[1952,17519],{"className":17520,"style":2057},[2056],[1952,17522,17524,17527,17567,17570,17638,17641,17644,17690],{"className":17523},[1986],[1952,17525],{"className":17526,"style":3339},[1990],[1952,17528,17530,17533],{"className":17529},[1995],[1952,17531,13221],{"className":17532,"style":1997},[1995,1996],[1952,17534,17536],{"className":17535},[2165],[1952,17537,17539,17559],{"className":17538},[2169,2170],[1952,17540,17542,17556],{"className":17541},[2174],[1952,17543,17545],{"className":17544,"style":2179},[2178],[1952,17546,17547,17550],{"style":13308},[1952,17548],{"className":17549,"style":2187},[2186],[1952,17551,17553],{"className":17552},[2191,2192,2193,2194],[1952,17554,2013],{"className":17555},[1995,1996,2194],[1952,17557,2202],{"className":17558},[2201],[1952,17560,17562],{"className":17561},[2174],[1952,17563,17565],{"className":17564,"style":2209},[2178],[1952,17566],{},[1952,17568,2303],{"className":17569},[2426],[1952,17571,17573,17604],{"className":17572},[1995],[1952,17574,17576],{"className":17575},[1995,3147],[1952,17577,17579],{"className":17578},[2169],[1952,17580,17582],{"className":17581},[2174],[1952,17583,17585,17593],{"className":17584,"style":3157},[2178],[1952,17586,17587,17590],{"style":3160},[1952,17588],{"className":17589,"style":3164},[2186],[1952,17591,2128],{"className":17592,"style":2161},[1995,1996],[1952,17594,17595,17598],{"style":3170},[1952,17596],{"className":17597,"style":3164},[2186],[1952,17599,17601],{"className":17600,"style":3178},[3177],[1952,17602,3125],{"className":17603},[1995],[1952,17605,17607],{"className":17606},[2165],[1952,17608,17610,17630],{"className":17609},[2169,2170],[1952,17611,17613,17627],{"className":17612},[2174],[1952,17614,17616],{"className":17615,"style":2179},[2178],[1952,17617,17618,17621],{"style":2182},[1952,17619],{"className":17620,"style":2187},[2186],[1952,17622,17624],{"className":17623},[2191,2192,2193,2194],[1952,17625,2013],{"className":17626},[1995,1996,2194],[1952,17628,2202],{"className":17629},[2201],[1952,17631,17633],{"className":17632},[2174],[1952,17634,17636],{"className":17635,"style":2209},[2178],[1952,17637],{},[1952,17639,2024],{"className":17640},[2078],[1952,17642],{"className":17643,"style":2082},[2056],[1952,17645,17647,17650],{"className":17646},[1995],[1952,17648,2128],{"className":17649,"style":2161},[1995,1996],[1952,17651,17653],{"className":17652},[2165],[1952,17654,17656,17682],{"className":17655},[2169,2170],[1952,17657,17659,17679],{"className":17658},[2174],[1952,17660,17662],{"className":17661,"style":2179},[2178],[1952,17663,17664,17667],{"style":2182},[1952,17665],{"className":17666,"style":2187},[2186],[1952,17668,17670],{"className":17669},[2191,2192,2193,2194],[1952,17671,17673,17676],{"className":17672},[1995,2194],[1952,17674,3607],{"className":17675},[1995,2194],[1952,17677,2013],{"className":17678},[1995,1996,2194],[1952,17680,2202],{"className":17681},[2201],[1952,17683,17685],{"className":17684},[2174],[1952,17686,17688],{"className":17687,"style":3858},[2178],[1952,17689],{},[1952,17691,2312],{"className":17692},[2470],"，真实报告是优势策略。",[1866,17695,17697],{"id":17696},"_33-vcg的局限性","3.3 VCG的局限性",[1798,17699,17700,1946],{},[1850,17701,17702],{},"优点",[1805,17704,17705,17708],{},[1808,17706,17707],{},"激励相容（优势策略）",[1808,17709,17710],{},"实现效率配置",[1798,17712,17713,1946],{},[1850,17714,17715],{},"缺点",[1877,17717,17718,17724,17730,17736],{},[1808,17719,17720,17723],{},[1850,17721,17722],{},"收益不是最优","（对卖家来说）",[1808,17725,17726,17729],{},[1850,17727,17728],{},"预算不平衡","：在某些问题中，总支付可能不足以覆盖成本",[1808,17731,17732,17735],{},[1850,17733,17734],{},"易受合谋影响","：多个参与者合谋可以操纵结果",[1808,17737,17738,1946,17741,18078],{},[1850,17739,17740],{},"需要准线性效用",[1952,17742,17744,17808],{"className":17743},[1955],[1952,17745,17747],{"className":17746},[1959],[1961,17748,17749],{"xmlns":1963},[1965,17750,17751,17805],{},[1968,17752,17753,17759,17761,17763,17765,17771,17773,17775,17782,17784,17786,17788,17794,17796,17798],{},[2124,17754,17755,17757],{},[1971,17756,2827],{},[1971,17758,2013],{},[2015,17760,2303],{"stretchy":2302},[1971,17762,2834],{},[2015,17764,2024],{"separator":1982},[2124,17766,17767,17769],{},[1971,17768,2128],{},[1971,17770,2013],{},[2015,17772,2312],{"stretchy":2302},[2015,17774,2017],{},[2124,17776,17777,17780],{},[1971,17778,17779],{},"v",[1971,17781,2013],{},[2015,17783,2303],{"stretchy":2302},[1971,17785,2834],{},[2015,17787,2024],{"separator":1982},[2124,17789,17790,17792],{},[1971,17791,2128],{},[1971,17793,2013],{},[2015,17795,2312],{"stretchy":2302},[2015,17797,13680],{},[2124,17799,17800,17803],{},[1971,17801,17802],{},"m",[1971,17804,2013],{},[1975,17806,17807],{"encoding":1977},"u_i(x, \\theta_i) = v_i(x, \\theta_i) + m_i",[1952,17809,17811,17921,18032],{"className":17810,"ariaHidden":1982},[1981],[1952,17812,17814,17817,17857,17860,17863,17866,17869,17909,17912,17915,17918],{"className":17813},[1986],[1952,17815],{"className":17816,"style":2380},[1990],[1952,17818,17820,17823],{"className":17819},[1995],[1952,17821,2827],{"className":17822},[1995,1996],[1952,17824,17826],{"className":17825},[2165],[1952,17827,17829,17849],{"className":17828},[2169,2170],[1952,17830,17832,17846],{"className":17831},[2174],[1952,17833,17835],{"className":17834,"style":2179},[2178],[1952,17836,17837,17840],{"style":2248},[1952,17838],{"className":17839,"style":2187},[2186],[1952,17841,17843],{"className":17842},[2191,2192,2193,2194],[1952,17844,2013],{"className":17845},[1995,1996,2194],[1952,17847,2202],{"className":17848},[2201],[1952,17850,17852],{"className":17851},[2174],[1952,17853,17855],{"className":17854,"style":2209},[2178],[1952,17856],{},[1952,17858,2303],{"className":17859},[2426],[1952,17861,2834],{"className":17862},[1995,1996],[1952,17864,2024],{"className":17865},[2078],[1952,17867],{"className":17868,"style":2082},[2056],[1952,17870,17872,17875],{"className":17871},[1995],[1952,17873,2128],{"className":17874,"style":2161},[1995,1996],[1952,17876,17878],{"className":17877},[2165],[1952,17879,17881,17901],{"className":17880},[2169,2170],[1952,17882,17884,17898],{"className":17883},[2174],[1952,17885,17887],{"className":17886,"style":2179},[2178],[1952,17888,17889,17892],{"style":2182},[1952,17890],{"className":17891,"style":2187},[2186],[1952,17893,17895],{"className":17894},[2191,2192,2193,2194],[1952,17896,2013],{"className":17897},[1995,1996,2194],[1952,17899,2202],{"className":17900},[2201],[1952,17902,17904],{"className":17903},[2174],[1952,17905,17907],{"className":17906,"style":2209},[2178],[1952,17908],{},[1952,17910,2312],{"className":17911},[2470],[1952,17913],{"className":17914,"style":2057},[2056],[1952,17916,2017],{"className":17917},[2061],[1952,17919],{"className":17920,"style":2057},[2056],[1952,17922,17924,17927,17968,17971,17974,17977,17980,18020,18023,18026,18029],{"className":17923},[1986],[1952,17925],{"className":17926,"style":2380},[1990],[1952,17928,17930,17933],{"className":17929},[1995],[1952,17931,17779],{"className":17932,"style":5456},[1995,1996],[1952,17934,17936],{"className":17935},[2165],[1952,17937,17939,17960],{"className":17938},[2169,2170],[1952,17940,17942,17957],{"className":17941},[2174],[1952,17943,17945],{"className":17944,"style":2179},[2178],[1952,17946,17948,17951],{"style":17947},"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;",[1952,17949],{"className":17950,"style":2187},[2186],[1952,17952,17954],{"className":17953},[2191,2192,2193,2194],[1952,17955,2013],{"className":17956},[1995,1996,2194],[1952,17958,2202],{"className":17959},[2201],[1952,17961,17963],{"className":17962},[2174],[1952,17964,17966],{"className":17965,"style":2209},[2178],[1952,17967],{},[1952,17969,2303],{"className":17970},[2426],[1952,17972,2834],{"className":17973},[1995,1996],[1952,17975,2024],{"className":17976},[2078],[1952,17978],{"className":17979,"style":2082},[2056],[1952,17981,17983,17986],{"className":17982},[1995],[1952,17984,2128],{"className":17985,"style":2161},[1995,1996],[1952,17987,17989],{"className":17988},[2165],[1952,17990,17992,18012],{"className":17991},[2169,2170],[1952,17993,17995,18009],{"className":17994},[2174],[1952,17996,17998],{"className":17997,"style":2179},[2178],[1952,17999,18000,18003],{"style":2182},[1952,18001],{"className":18002,"style":2187},[2186],[1952,18004,18006],{"className":18005},[2191,2192,2193,2194],[1952,18007,2013],{"className":18008},[1995,1996,2194],[1952,18010,2202],{"className":18011},[2201],[1952,18013,18015],{"className":18014},[2174],[1952,18016,18018],{"className":18017,"style":2209},[2178],[1952,18019],{},[1952,18021,2312],{"className":18022},[2470],[1952,18024],{"className":18025,"style":8948},[2056],[1952,18027,13680],{"className":18028},[5482],[1952,18030],{"className":18031,"style":8948},[2056],[1952,18033,18035,18038],{"className":18034},[1986],[1952,18036],{"className":18037,"style":8849},[1990],[1952,18039,18041,18044],{"className":18040},[1995],[1952,18042,17802],{"className":18043},[1995,1996],[1952,18045,18047],{"className":18046},[2165],[1952,18048,18050,18070],{"className":18049},[2169,2170],[1952,18051,18053,18067],{"className":18052},[2174],[1952,18054,18056],{"className":18055,"style":2179},[2178],[1952,18057,18058,18061],{"style":2248},[1952,18059],{"className":18060,"style":2187},[2186],[1952,18062,18064],{"className":18063},[2191,2192,2193,2194],[1952,18065,2013],{"className":18066},[1995,1996,2194],[1952,18068,2202],{"className":18069},[2201],[1952,18071,18073],{"className":18072},[2174],[1952,18074,18076],{"className":18075,"style":2209},[2178],[1952,18077],{},"（货币线性）",[1794,18080,18082],{"id":18081},"四拍卖理论-auction-theory","四、拍卖理论 (Auction Theory)",[1866,18084,18086],{"id":18085},"_41-标准拍卖格式","4.1 标准拍卖格式",[1798,18088,18089,1946],{},[1850,18090,18091],{},"独立私人估值模型 (Independent Private Values, IPV)",[1805,18093,18094,18284],{},[1808,18095,18096,18124,18125,18194,18195],{},[1952,18097,18099,18112],{"className":18098},[1955],[1952,18100,18102],{"className":18101},[1959],[1961,18103,18104],{"xmlns":1963},[1965,18105,18106,18110],{},[1968,18107,18108],{},[1971,18109,1973],{},[1975,18111,1973],{"encoding":1977},[1952,18113,18115],{"className":18114,"ariaHidden":1982},[1981],[1952,18116,18118,18121],{"className":18117},[1986],[1952,18119],{"className":18120,"style":1991},[1990],[1952,18122,1973],{"className":18123,"style":1997},[1995,1996]," 个竞标者，每个估值 ",[1952,18126,18128,18145],{"className":18127},[1955],[1952,18129,18131],{"className":18130},[1959],[1961,18132,18133],{"xmlns":1963},[1965,18134,18135,18143],{},[1968,18136,18137],{},[2124,18138,18139,18141],{},[1971,18140,2128],{},[1971,18142,2013],{},[1975,18144,3005],{"encoding":1977},[1952,18146,18148],{"className":18147,"ariaHidden":1982},[1981],[1952,18149,18151,18154],{"className":18150},[1986],[1952,18152],{"className":18153,"style":2154},[1990],[1952,18155,18157,18160],{"className":18156},[1995],[1952,18158,2128],{"className":18159,"style":2161},[1995,1996],[1952,18161,18163],{"className":18162},[2165],[1952,18164,18166,18186],{"className":18165},[2169,2170],[1952,18167,18169,18183],{"className":18168},[2174],[1952,18170,18172],{"className":18171,"style":2179},[2178],[1952,18173,18174,18177],{"style":2182},[1952,18175],{"className":18176,"style":2187},[2186],[1952,18178,18180],{"className":18179},[2191,2192,2193,2194],[1952,18181,2013],{"className":18182},[1995,1996,2194],[1952,18184,2202],{"className":18185},[2201],[1952,18187,18189],{"className":18188},[2174],[1952,18190,18192],{"className":18191,"style":2209},[2178],[1952,18193],{}," 独立同分布于 ",[1952,18196,18198,18227],{"className":18197},[1955],[1952,18199,18201],{"className":18200},[1959],[1961,18202,18203],{"xmlns":1963},[1965,18204,18205,18224],{},[1968,18206,18207,18210,18212,18214,18221],{},[2015,18208,18209],{"stretchy":2302},"[",[2019,18211,9173],{},[2015,18213,2024],{"separator":1982},[3119,18215,18216,18218],{"accent":1982},[1971,18217,2128],{},[2015,18219,18220],{},"ˉ",[2015,18222,18223],{"stretchy":2302},"]",[1975,18225,18226],{"encoding":1977},"[0, \\bar{\\theta}]",[1952,18228,18230],{"className":18229,"ariaHidden":1982},[1981],[1952,18231,18233,18237,18240,18243,18246,18249,18281],{"className":18232},[1986],[1952,18234],{"className":18235,"style":18236},[1990],"height:1.0812em;vertical-align:-0.25em;",[1952,18238,18209],{"className":18239},[2426],[1952,18241,9173],{"className":18242},[1995],[1952,18244,2024],{"className":18245},[2078],[1952,18247],{"className":18248,"style":2082},[2056],[1952,18250,18252],{"className":18251},[1995,3147],[1952,18253,18255],{"className":18254},[2169],[1952,18256,18258],{"className":18257},[2174],[1952,18259,18262,18270],{"className":18260,"style":18261},[2178],"height:0.8312em;",[1952,18263,18264,18267],{"style":3160},[1952,18265],{"className":18266,"style":3164},[2186],[1952,18268,2128],{"className":18269,"style":2161},[1995,1996],[1952,18271,18272,18275],{"style":3170},[1952,18273],{"className":18274,"style":3164},[2186],[1952,18276,18278],{"className":18277,"style":3178},[3177],[1952,18279,18220],{"className":18280},[1995],[1952,18282,18223],{"className":18283},[2470],[1808,18285,18286,18287,18331,18332],{},"分布函数 ",[1952,18288,18290,18310],{"className":18289},[1955],[1952,18291,18293],{"className":18292},[1959],[1961,18294,18295],{"xmlns":1963},[1965,18296,18297,18307],{},[1968,18298,18299,18301,18303,18305],{},[1971,18300,2297],{},[2015,18302,2303],{"stretchy":2302},[1971,18304,2128],{},[2015,18306,2312],{"stretchy":2302},[1975,18308,18309],{"encoding":1977},"F(\\theta)",[1952,18311,18313],{"className":18312,"ariaHidden":1982},[1981],[1952,18314,18316,18319,18322,18325,18328],{"className":18315},[1986],[1952,18317],{"className":18318,"style":2380},[1990],[1952,18320,2297],{"className":18321,"style":2387},[1995,1996],[1952,18323,2303],{"className":18324},[2426],[1952,18326,2128],{"className":18327,"style":2161},[1995,1996],[1952,18329,2312],{"className":18330},[2470],"，密度函数 ",[1952,18333,18335,18355],{"className":18334},[1955],[1952,18336,18338],{"className":18337},[1959],[1961,18339,18340],{"xmlns":1963},[1965,18341,18342,18352],{},[1968,18343,18344,18346,18348,18350],{},[1971,18345,2707],{},[2015,18347,2303],{"stretchy":2302},[1971,18349,2128],{},[2015,18351,2312],{"stretchy":2302},[1975,18353,18354],{"encoding":1977},"f(\\theta)",[1952,18356,18358],{"className":18357,"ariaHidden":1982},[1981],[1952,18359,18361,18364,18367,18370,18373],{"className":18360},[1986],[1952,18362],{"className":18363,"style":2380},[1990],[1952,18365,2707],{"className":18366,"style":2734},[1995,1996],[1952,18368,2303],{"className":18369},[2426],[1952,18371,2128],{"className":18372,"style":2161},[1995,1996],[1952,18374,2312],{"className":18375},[2470],[1798,18377,18378,1946],{},[1850,18379,18380],{},"四种经典拍卖",[18382,18383,18384,18402],"table",{},[18385,18386,18387],"thead",{},[18388,18389,18390,18394,18397,18400],"tr",{},[18391,18392,18393],"th",{},"拍卖类型",[18391,18395,18396],{},"英文名",[18391,18398,18399],{},"价格形成",[18391,18401,8151],{},[18403,18404,18405,18420,18434,18448],"tbody",{},[18388,18406,18407,18411,18414,18417],{},[18408,18409,18410],"td",{},"英式拍卖",[18408,18412,18413],{},"English (Ascending)",[18408,18415,18416],{},"公开递增",[18408,18418,18419],{},"略高于第二高估值",[18388,18421,18422,18425,18428,18431],{},[18408,18423,18424],{},"荷式拍卖",[18408,18426,18427],{},"Dutch (Descending)",[18408,18429,18430],{},"公开递减",[18408,18432,18433],{},"第一个接受的价格",[18388,18435,18436,18439,18442,18445],{},[18408,18437,18438],{},"一级价格密封",[18408,18440,18441],{},"First-Price Sealed-Bid (FPSB)",[18408,18443,18444],{},"密封出价",[18408,18446,18447],{},"自己的出价",[18388,18449,18450,18453,18456,18458],{},[18408,18451,18452],{},"二级价格密封",[18408,18454,18455],{},"Second-Price Sealed-Bid (Vickrey)",[18408,18457,18444],{},[18408,18459,18460],{},"第二高出价",[1866,18462,18464],{"id":18463},"_42-拍卖等价性","4.2 拍卖等价性",[1798,18466,18467,1946],{},[1850,18468,18469],{},"策略等价",[1805,18471,18472,18478],{},[1808,18473,18474,18477],{},[1850,18475,18476],{},"英式 ≡ 二级价格","：都是真实出价（估值）",[1808,18479,18480,18483],{},[1850,18481,18482],{},"荷式 ≡ 一级价格","：都需要在出价中考虑\"遮阴\"策略",[1798,18485,18486,18489],{},[1850,18487,18488],{},"收入等价定理（后面详细证明）","：在IPV模型下，这四种拍卖的期望收益相同。",[1866,18491,18493],{"id":18492},"_43-一级价格拍卖的均衡","4.3 一级价格拍卖的均衡",[1798,18495,18496,18497,18500],{},"在一级价格密封拍卖中，真实出价",[1850,18498,18499],{},"不是","最优策略（如果真实出价且获胜，净效用为0）。",[1798,18502,18503,1946],{},[1850,18504,18505],{},"对称贝叶斯纳什均衡 (Symmetric BNE)",[1798,18507,18508,18509,18553,18554,18582,18583,18652,18653,3089],{},"假设其他人使用相同的出价函数 ",[1952,18510,18512,18532],{"className":18511},[1955],[1952,18513,18515],{"className":18514},[1959],[1961,18516,18517],{"xmlns":1963},[1965,18518,18519,18529],{},[1968,18520,18521,18523,18525,18527],{},[1971,18522,3489],{},[2015,18524,2303],{"stretchy":2302},[1971,18526,2128],{},[2015,18528,2312],{"stretchy":2302},[1975,18530,18531],{"encoding":1977},"b(\\theta)",[1952,18533,18535],{"className":18534,"ariaHidden":1982},[1981],[1952,18536,18538,18541,18544,18547,18550],{"className":18537},[1986],[1952,18539],{"className":18540,"style":2380},[1990],[1952,18542,3489],{"className":18543},[1995,1996],[1952,18545,2303],{"className":18546},[2426],[1952,18548,2128],{"className":18549,"style":2161},[1995,1996],[1952,18551,2312],{"className":18552},[2470],"（严格递增），参与者 ",[1952,18555,18557,18570],{"className":18556},[1955],[1952,18558,18560],{"className":18559},[1959],[1961,18561,18562],{"xmlns":1963},[1965,18563,18564,18568],{},[1968,18565,18566],{},[1971,18567,2013],{},[1975,18569,2013],{"encoding":1977},[1952,18571,18573],{"className":18572,"ariaHidden":1982},[1981],[1952,18574,18576,18579],{"className":18575},[1986],[1952,18577],{"className":18578,"style":2049},[1990],[1952,18580,2013],{"className":18581},[1995,1996]," 估值 ",[1952,18584,18586,18603],{"className":18585},[1955],[1952,18587,18589],{"className":18588},[1959],[1961,18590,18591],{"xmlns":1963},[1965,18592,18593,18601],{},[1968,18594,18595],{},[2124,18596,18597,18599],{},[1971,18598,2128],{},[1971,18600,2013],{},[1975,18602,3005],{"encoding":1977},[1952,18604,18606],{"className":18605,"ariaHidden":1982},[1981],[1952,18607,18609,18612],{"className":18608},[1986],[1952,18610],{"className":18611,"style":2154},[1990],[1952,18613,18615,18618],{"className":18614},[1995],[1952,18616,2128],{"className":18617,"style":2161},[1995,1996],[1952,18619,18621],{"className":18620},[2165],[1952,18622,18624,18644],{"className":18623},[2169,2170],[1952,18625,18627,18641],{"className":18626},[2174],[1952,18628,18630],{"className":18629,"style":2179},[2178],[1952,18631,18632,18635],{"style":2182},[1952,18633],{"className":18634,"style":2187},[2186],[1952,18636,18638],{"className":18637},[2191,2192,2193,2194],[1952,18639,2013],{"className":18640},[1995,1996,2194],[1952,18642,2202],{"className":18643},[2201],[1952,18645,18647],{"className":18646},[2174],[1952,18648,18650],{"className":18649,"style":2209},[2178],[1952,18651],{},"，选择出价 ",[1952,18654,18656,18673],{"className":18655},[1955],[1952,18657,18659],{"className":18658},[1959],[1961,18660,18661],{"xmlns":1963},[1965,18662,18663,18671],{},[1968,18664,18665],{},[2124,18666,18667,18669],{},[1971,18668,3489],{},[1971,18670,2013],{},[1975,18672,3494],{"encoding":1977},[1952,18674,18676],{"className":18675,"ariaHidden":1982},[1981],[1952,18677,18679,18682],{"className":18678},[1986],[1952,18680],{"className":18681,"style":2154},[1990],[1952,18683,18685,18688],{"className":18684},[1995],[1952,18686,3489],{"className":18687},[1995,1996],[1952,18689,18691],{"className":18690},[2165],[1952,18692,18694,18714],{"className":18693},[2169,2170],[1952,18695,18697,18711],{"className":18696},[2174],[1952,18698,18700],{"className":18699,"style":2179},[2178],[1952,18701,18702,18705],{"style":2248},[1952,18703],{"className":18704,"style":2187},[2186],[1952,18706,18708],{"className":18707},[2191,2192,2193,2194],[1952,18709,2013],{"className":18710},[1995,1996,2194],[1952,18712,2202],{"className":18713},[2201],[1952,18715,18717],{"className":18716},[2174],[1952,18718,18720],{"className":18719,"style":2209},[2178],[1952,18721],{},[1798,18723,18724,18725],{},"获胜概率：",[1952,18726,18728,18792],{"className":18727},[1955],[1952,18729,18731],{"className":18730},[1959],[1961,18732,18733],{"xmlns":1963},[1965,18734,18735,18789],{},[1968,18736,18737,18740,18742,18744,18747,18749,18751,18753,18755,18757,18763,18765,18767,18769,18775,18777,18779,18781,18783,18785,18787],{},[1971,18738,18739],{},"Pr",[2015,18741,7803],{},[2015,18743,2303],{"stretchy":2302},[7807,18745,18746],{},"win",[2015,18748,2312],{"stretchy":2302},[2015,18750,2017],{},[1971,18752,18739],{},[2015,18754,7803],{},[2015,18756,2303],{"stretchy":2302},[2124,18758,18759,18761],{},[1971,18760,3489],{},[1971,18762,2013],{},[2015,18764,8665],{},[1971,18766,3489],{},[2015,18768,2303],{"stretchy":2302},[2124,18770,18771,18773],{},[1971,18772,2128],{},[1971,18774,8435],{},[2015,18776,2312],{"stretchy":2302},[2015,18778,2024],{"separator":1982},[1971,18780,3676],{"mathvariant":2138},[1971,18782,8435],{},[2015,18784,8438],{"mathvariant":2138},[1971,18786,2013],{},[2015,18788,2312],{"stretchy":2302},[1975,18790,18791],{"encoding":1977},"\\Pr(\\text{win}) = \\Pr(b_i > b(\\theta_j), \\forall j \\neq i)",[1952,18793,18795,18825,18886,18996],{"className":18794,"ariaHidden":1982},[1981],[1952,18796,18798,18801,18804,18807,18813,18816,18819,18822],{"className":18797},[1986],[1952,18799],{"className":18800,"style":2380},[1990],[1952,18802,18739],{"className":18803},[7832],[1952,18805,2303],{"className":18806},[2426],[1952,18808,18810],{"className":18809},[1995,7886],[1952,18811,18746],{"className":18812},[1995],[1952,18814,2312],{"className":18815},[2470],[1952,18817],{"className":18818,"style":2057},[2056],[1952,18820,2017],{"className":18821},[2061],[1952,18823],{"className":18824,"style":2057},[2056],[1952,18826,18828,18831,18834,18837,18877,18880,18883],{"className":18827},[1986],[1952,18829],{"className":18830,"style":2380},[1990],[1952,18832,18739],{"className":18833},[7832],[1952,18835,2303],{"className":18836},[2426],[1952,18838,18840,18843],{"className":18839},[1995],[1952,18841,3489],{"className":18842},[1995,1996],[1952,18844,18846],{"className":18845},[2165],[1952,18847,18849,18869],{"className":18848},[2169,2170],[1952,18850,18852,18866],{"className":18851},[2174],[1952,18853,18855],{"className":18854,"style":2179},[2178],[1952,18856,18857,18860],{"style":2248},[1952,18858],{"className":18859,"style":2187},[2186],[1952,18861,18863],{"className":18862},[2191,2192,2193,2194],[1952,18864,2013],{"className":18865},[1995,1996,2194],[1952,18867,2202],{"className":18868},[2201],[1952,18870,18872],{"className":18871},[2174],[1952,18873,18875],{"className":18874,"style":2209},[2178],[1952,18876],{},[1952,18878],{"className":18879,"style":2057},[2056],[1952,18881,8665],{"className":18882},[2061],[1952,18884],{"className":18885,"style":2057},[2056],[1952,18887,18889,18893,18896,18899,18939,18942,18945,18948,18951,18954,18957,18993],{"className":18888},[1986],[1952,18890],{"className":18891,"style":18892},[1990],"height:1.0361em;vertical-align:-0.2861em;",[1952,18894,3489],{"className":18895},[1995,1996],[1952,18897,2303],{"className":18898},[2426],[1952,18900,18902,18905],{"className":18901},[1995],[1952,18903,2128],{"className":18904,"style":2161},[1995,1996],[1952,18906,18908],{"className":18907},[2165],[1952,18909,18911,18931],{"className":18910},[2169,2170],[1952,18912,18914,18928],{"className":18913},[2174],[1952,18915,18917],{"className":18916,"style":2179},[2178],[1952,18918,18919,18922],{"style":2182},[1952,18920],{"className":18921,"style":2187},[2186],[1952,18923,18925],{"className":18924},[2191,2192,2193,2194],[1952,18926,8435],{"className":18927,"style":8538},[1995,1996,2194],[1952,18929,2202],{"className":18930},[2201],[1952,18932,18934],{"className":18933},[2174],[1952,18935,18937],{"className":18936,"style":8594},[2178],[1952,18938],{},[1952,18940,2312],{"className":18941},[2470],[1952,18943,2024],{"className":18944},[2078],[1952,18946],{"className":18947,"style":2082},[2056],[1952,18949,3676],{"className":18950},[1995],[1952,18952,8435],{"className":18953,"style":8538},[1995,1996],[1952,18955],{"className":18956,"style":2057},[2056],[1952,18958,18960,18987,18990],{"className":18959},[2061],[1952,18961,18963],{"className":18962},[2061],[1952,18964,18966],{"className":18965},[1995,8548],[1952,18967,18969],{"className":18968},[8552],[1952,18970,18972,18975,18984],{"className":18971},[8556],[1952,18973],{"className":18974,"style":2730},[1990],[1952,18976,18978],{"className":18977},[8563],[1952,18979,18981],{"className":18980},[1995],[1952,18982,8570],{"className":18983},[2061],[1952,18985],{"className":18986},[8574],[1952,18988],{"className":18989},[2056,8578],[1952,18991,2017],{"className":18992},[2061],[1952,18994],{"className":18995,"style":2057},[2056],[1952,18997,18999,19002,19005],{"className":18998},[1986],[1952,19000],{"className":19001,"style":2380},[1990],[1952,19003,2013],{"className":19004},[1995,1996],[1952,19006,2312],{"className":19007},[2470],[1798,19009,9411,19010,19055,19056],{},[1952,19011,19013,19034],{"className":19012},[1955],[1952,19014,19016],{"className":19015},[1959],[1961,19017,19018],{"xmlns":1963},[1965,19019,19020,19031],{},[1968,19021,19022,19024,19026,19029],{},[1971,19023,3489],{},[2015,19025,2303],{"stretchy":2302},[2015,19027,19028],{},"⋅",[2015,19030,2312],{"stretchy":2302},[1975,19032,19033],{"encoding":1977},"b(\\cdot)",[1952,19035,19037],{"className":19036,"ariaHidden":1982},[1981],[1952,19038,19040,19043,19046,19049,19052],{"className":19039},[1986],[1952,19041],{"className":19042,"style":2380},[1990],[1952,19044,3489],{"className":19045},[1995,1996],[1952,19047,2303],{"className":19048},[2426],[1952,19050,19028],{"className":19051},[1995],[1952,19053,2312],{"className":19054},[2470]," 严格递增，等价于 ",[1952,19057,19059,19159],{"className":19058},[1955],[1952,19060,19062],{"className":19061},[1959],[1961,19063,19064],{"xmlns":1963},[1965,19065,19066,19156],{},[1968,19067,19068,19070,19072,19074,19080,19082,19092,19094,19100,19102,19104,19106,19108,19110,19112,19114,19116,19118,19120,19122,19132,19134,19140,19142,19144],{},[1971,19069,18739],{},[2015,19071,7803],{},[2015,19073,2303],{"stretchy":2302},[2124,19075,19076,19078],{},[1971,19077,2128],{},[1971,19079,8435],{},[2015,19081,9015],{},[5424,19083,19084,19086],{},[1971,19085,3489],{},[1968,19087,19088,19090],{},[2015,19089,3607],{},[2019,19091,2021],{},[2015,19093,2303],{"stretchy":2302},[2124,19095,19096,19098],{},[1971,19097,3489],{},[1971,19099,2013],{},[2015,19101,2312],{"stretchy":2302},[2015,19103,2024],{"separator":1982},[1971,19105,3676],{"mathvariant":2138},[1971,19107,8435],{},[2015,19109,8438],{"mathvariant":2138},[1971,19111,2013],{},[2015,19113,2312],{"stretchy":2302},[2015,19115,2017],{},[2015,19117,18209],{"stretchy":2302},[1971,19119,2297],{},[2015,19121,2303],{"stretchy":2302},[5424,19123,19124,19126],{},[1971,19125,3489],{},[1968,19127,19128,19130],{},[2015,19129,3607],{},[2019,19131,2021],{},[2015,19133,2303],{"stretchy":2302},[2124,19135,19136,19138],{},[1971,19137,3489],{},[1971,19139,2013],{},[2015,19141,2312],{"stretchy":2302},[2015,19143,2312],{"stretchy":2302},[5424,19145,19146,19148],{},[2015,19147,18223],{"stretchy":2302},[1968,19149,19150,19152,19154],{},[1971,19151,1973],{},[2015,19153,3607],{},[2019,19155,2021],{},[1975,19157,19158],{"encoding":1977},"\\Pr(\\theta_j \u003C b^{-1}(b_i), \\forall j \\neq i) = 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= \\theta_i",[1952,21314,21316,21412],{"className":21315,"ariaHidden":1982},[1981],[1952,21317,21319,21322,21357,21360,21400,21403,21406,21409],{"className":21318},[1986],[1952,21320],{"className":21321,"style":19229},[1990],[1952,21323,21325,21328],{"className":21324},[1995],[1952,21326,3489],{"className":21327},[1995,1996],[1952,21329,21331],{"className":21330},[2165],[1952,21332,21334],{"className":21333},[2169],[1952,21335,21337],{"className":21336},[2174],[1952,21338,21340],{"className":21339,"style":19248},[2178],[1952,21341,21342,21345],{"style":5472},[1952,21343],{"className":21344,"style":2187},[2186],[1952,21346,21348],{"className":21347},[2191,2192,2193,2194],[1952,21349,21351,21354],{"className":21350},[1995,2194],[1952,21352,3607],{"className":21353},[1995,2194],[1952,21355,2021],{"className":21356},[1995,2194],[1952,21358,2303],{"className":21359},[2426],[1952,21361,21363,21366],{"className":21362},[1995],[1952,21364,3489],{"className":21365},[1995,1996],[1952,21367,21369],{"className":21368},[2165],[1952,21370,21372,21392],{"className":21371},[2169,2170],[1952,21373,21375,21389],{"className":21374},[2174],[1952,21376,21378],{"className":21377,"style":2179},[2178],[1952,21379,21380,21383],{"style":2248},[1952,21381],{"className":21382,"style":2187},[2186],[1952,21384,21386],{"className":21385},[2191,2192,2193,2194],[1952,21387,2013],{"className":21388},[1995,1996,2194],[1952,21390,2202],{"className":21391},[2201],[1952,21393,21395],{"className":21394},[2174],[1952,21396,21398],{"className":21397,"style":2209},[2178],[1952,21399],{},[1952,21401,2312],{"className":21402},[2470],[1952,21404],{"className":21405,"style":2057},[2056],[1952,21407,2017],{"className":21408},[2061],[1952,21410],{"className":21411,"style":2057},[2056],[1952,21413,21415,21418],{"className":21414},[1986],[1952,21416],{"className":21417,"style":2154},[1990],[1952,21419,21421,21424],{"className":21420},[1995],[1952,21422,2128],{"className":21423,"style":2161},[1995,1996],[1952,21425,21427],{"className":21426},[2165],[1952,21428,21430,21450],{"className":21429},[2169,2170],[1952,21431,21433,21447],{"className":21432},[2174],[1952,21434,21436],{"className":21435,"style":2179},[2178],[1952,21437,21438,21441],{"style":2182},[1952,21439],{"className":21440,"style":2187},[2186],[1952,21442,21444],{"className":21443},[2191,2192,2193,2194],[1952,21445,2013],{"className":21446},[1995,1996,2194],[1952,21448,2202],{"className":21449},[2201],[1952,21451,21453],{"className":21452},[2174],[1952,21454,21456],{"className":21455,"style":2209},[2178],[1952,21457],{},"，简化为：",[1952,21460,21462],{"className":21461},[3565],[1952,21463,21465,21563],{"className":21464},[1955],[1952,21466,21468],{"className":21467},[1959],[1961,21469,21470],{"xmlns":1963,"display":3574},[1965,21471,21472,21560],{},[1968,21473,21474,21476,21478,21480,21482,21484,21486,21488,21494,21496,21498,21504,21506,21508,21510,21516,21518,21520,21522,21524,21526,21532,21544,21550,21552,21558],{},[2015,21475,2303],{"stretchy":2302},[1971,21477,1973],{},[2015,21479,3607],{},[2019,21481,2021],{},[2015,21483,2312],{"stretchy":2302},[1971,21485,2707],{},[2015,21487,2303],{"stretchy":2302},[2124,21489,21490,21492],{},[1971,21491,2128],{},[1971,21493,2013],{},[2015,21495,2312],{"stretchy":2302},[2015,21497,2303],{"stretchy":2302},[2124,21499,21500,21502],{},[1971,21501,2128],{},[1971,21503,2013],{},[2015,21505,3607],{},[1971,21507,3489],{},[2015,21509,2303],{"stretchy":2302},[2124,21511,21512,21514],{},[1971,21513,2128],{},[1971,21515,2013],{},[2015,21517,2312],{"stretchy":2302},[2015,21519,2312],{"stretchy":2302},[2015,21521,2017],{},[1971,21523,2297],{},[2015,21525,2303],{"stretchy":2302},[2124,21527,21528,21530],{},[1971,21529,2128],{},[1971,21531,2013],{},[5424,21533,21534,21536],{},[2015,21535,2312],{"stretchy":2302},[1968,21537,21538,21540,21542],{},[1971,21539,1973],{},[2015,21541,3607],{},[2019,21543,2021],{},[5424,21545,21546,21548],{},[1971,21547,3489],{},[2015,21549,6146],{"mathvariant":2138,"lspace":6145,"rspace":6145},[2015,21551,2303],{"stretchy":2302},[2124,21553,21554,21556],{},[1971,21555,2128],{},[1971,21557,2013],{},[2015,21559,2312],{"stretchy":2302},[1975,21561,21562],{"encoding":1977},"(N-1) f(\\theta_i) (\\theta_i - b(\\theta_i)) = F(\\theta_i)^{N-1} b'(\\theta_i)",[1952,21564,21566,21587,21700,21764],{"className":21565,"ariaHidden":1982},[1981],[1952,21567,21569,21572,21575,21578,21581,21584],{"className":21568},[1986],[1952,21570],{"className":21571,"style":2380},[1990],[1952,21573,2303],{"className":21574},[2426],[1952,21576,1973],{"className":21577,"style":1997},[1995,1996],[1952,21579],{"className":21580,"style":8948},[2056],[1952,21582,3607],{"className":21583},[5482],[1952,21585],{"className":21586,"style":8948},[2056],[1952,21588,21590,21593,21596,21599,21602,21605,21645,21648,21651,21691,21694,21697],{"className":21589},[1986],[1952,21591],{"className":21592,"style":2380},[1990],[1952,21594,2021],{"className":21595},[1995],[1952,21597,2312],{"className":21598},[2470],[1952,21600,2707],{"className":21601,"style":2734},[1995,1996],[1952,21603,2303],{"className":21604},[2426],[1952,21606,21608,21611],{"className":21607},[1995],[1952,21609,2128],{"className":21610,"style":2161},[1995,1996],[1952,21612,21614],{"className":21613},[2165],[1952,21615,21617,21637],{"className":21616},[2169,2170],[1952,21618,21620,21634],{"className":21619},[2174],[1952,21621,21623],{"className":21622,"style":2179},[2178],[1952,21624,21625,21628],{"style":2182},[1952,21626],{"className":21627,"style":2187},[2186],[1952,21629,21631],{"className":21630},[2191,2192,2193,2194],[1952,21632,2013],{"className":21633},[1995,1996,2194],[1952,21635,2202],{"className":21636},[2201],[1952,21638,21640],{"className":21639},[2174],[1952,21641,21643],{"className":21642,"style":2209},[2178],[1952,21644],{},[1952,21646,2312],{"className":21647},[2470],[1952,21649,2303],{"className":21650},[2426],[1952,21652,21654,21657],{"className":21653},[1995],[1952,21655,2128],{"className":21656,"style":2161},[1995,1996],[1952,21658,21660],{"className":21659},[2165],[1952,21661,21663,21683],{"className":21662},[2169,2170],[1952,21664,21666,21680],{"className":21665},[2174],[1952,21667,21669],{"className":21668,"style":2179},[2178],[1952,21670,21671,21674],{"style":2182},[1952,21672],{"className":21673,"style":2187},[2186],[1952,21675,21677],{"className":21676},[2191,2192,2193,2194],[1952,21678,2013],{"className":21679},[1995,1996,2194],[1952,21681,2202],{"className":21682},[2201],[1952,21684,21686],{"className":21685},[2174],[1952,21687,21689],{"className":21688,"style":2209},[2178],[1952,21690],{},[1952,21692],{"className":21693,"style":8948},[2056],[1952,21695,3607],{"className":21696},[5482],[1952,21698],{"className":21699,"style":8948},[2056],[1952,21701,21703,21706,21709,21712,21752,21755,21758,21761],{"className":21702},[1986],[1952,21704],{"className":21705,"style":2380},[1990],[1952,21707,3489],{"className":21708},[1995,1996],[1952,21710,2303],{"className":21711},[2426],[1952,21713,21715,21718],{"className":21714},[1995],[1952,21716,2128],{"className":21717,"style":2161},[1995,1996],[1952,21719,21721],{"className":21720},[2165],[1952,21722,21724,21744],{"className":21723},[2169,2170],[1952,21725,21727,21741],{"className":21726},[2174],[1952,21728,21730],{"className":21729,"style":2179},[2178],[1952,21731,21732,21735],{"style":2182},[1952,21733],{"className":21734,"style":2187},[2186],[1952,21736,21738],{"className":21737},[2191,2192,2193,2194],[1952,21739,2013],{"className":21740},[1995,1996,2194],[1952,21742,2202],{"className":21743},[2201],[1952,21745,21747],{"className":21746},[2174],[1952,21748,21750],{"className":21749,"style":2209},[2178],[1952,21751],{},[1952,21753,5858],{"className":21754},[2470],[1952,21756],{"className":21757,"style":2057},[2056],[1952,21759,2017],{"className":21760},[2061],[1952,21762],{"className":21763,"style":2057},[2056],[1952,21765,21767,21770,21773,21776,21816,21854,21886,21889,21929],{"className":21766},[1986],[1952,21768],{"className":21769,"style":19784},[1990],[1952,21771,2297],{"className":21772,"style":2387},[1995,1996],[1952,21774,2303],{"className":21775},[2426],[1952,21777,21779,21782],{"className":21778},[1995],[1952,21780,2128],{"className":21781,"style":2161},[1995,1996],[1952,21783,21785],{"className":21784},[2165],[1952,21786,21788,21808],{"className":21787},[2169,2170],[1952,21789,21791,21805],{"className":21790},[2174],[1952,21792,21794],{"className":21793,"style":2179},[2178],[1952,21795,21796,21799],{"style":2182},[1952,21797],{"className":21798,"style":2187},[2186],[1952,21800,21802],{"className":21801},[2191,2192,2193,2194],[1952,21803,2013],{"className":21804},[1995,1996,2194],[1952,21806,2202],{"className":21807},[2201],[1952,21809,21811],{"className":21810},[2174],[1952,21812,21814],{"className":21813,"style":2209},[2178],[1952,21815],{},[1952,21817,21819,21822],{"className":21818},[2470],[1952,21820,2312],{"className":21821},[2470],[1952,21823,21825],{"className":21824},[2165],[1952,21826,21828],{"className":21827},[2169],[1952,21829,21831],{"className":21830},[2174],[1952,21832,21834],{"className":21833,"style":19894},[2178],[1952,21835,21836,21839],{"style":6270},[1952,21837],{"className":21838,"style":2187},[2186],[1952,21840,21842],{"className":21841},[2191,2192,2193,2194],[1952,21843,21845,21848,21851],{"className":21844},[1995,2194],[1952,21846,1973],{"className":21847,"style":1997},[1995,1996,2194],[1952,21849,3607],{"className":21850},[5482,2194],[1952,21852,2021],{"className":21853},[1995,2194],[1952,21855,21857,21860],{"className":21856},[1995],[1952,21858,3489],{"className":21859},[1995,1996],[1952,21861,21863],{"className":21862},[2165],[1952,21864,21866],{"className":21865},[2169],[1952,21867,21869],{"className":21868},[2174],[1952,21870,21872],{"className":21871,"style":6575},[2178],[1952,21873,21874,21877],{"style":6270},[1952,21875],{"className":21876,"style":2187},[2186],[1952,21878,21880],{"className":21879},[2191,2192,2193,2194],[1952,21881,21883],{"className":21882},[1995,2194],[1952,21884,6146],{"className":21885},[1995,2194],[1952,21887,2303],{"className":21888},[2426],[1952,21890,21892,21895],{"className":21891},[1995],[1952,21893,2128],{"className":21894,"style":2161},[1995,1996],[1952,21896,21898],{"className":21897},[2165],[1952,21899,21901,21921],{"className":21900},[2169,2170],[1952,21902,21904,21918],{"className":21903},[2174],[1952,21905,21907],{"className":21906,"style":2179},[2178],[1952,21908,21909,21912],{"style":2182},[1952,21910],{"className":21911,"style":2187},[2186],[1952,21913,21915],{"className":21914},[2191,2192,2193,2194],[1952,21916,2013],{"className":21917},[1995,1996,2194],[1952,21919,2202],{"className":21920},[2201],[1952,21922,21924],{"className":21923},[2174],[1952,21925,21927],{"className":21926,"style":2209},[2178],[1952,21928],{},[1952,21930,2312],{"className":21931},[2470],[1798,21933,21934],{},"整理：",[1952,21936,21938],{"className":21937},[3565],[1952,21939,21941,22101],{"className":21940},[1955],[1952,21942,21944],{"className":21943},[1959],[1961,21945,21946],{"xmlns":1963,"display":3574},[1965,21947,21948,22098],{},[1968,21949,21950,21956,21958,21964,21966,21968,21970,21976,21988,21990,21992,21994,22000,22002,22004,22006,22008,22010,22012,22014,22016,22022,22034,22036,22038,22044,22046,22048,22050,22052,22054,22056,22058,22064,22066,22068,22074,22086,22088,22090,22096],{},[5424,21951,21952,21954],{},[1971,21953,3489],{},[2015,21955,6146],{"mathvariant":2138,"lspace":6145,"rspace":6145},[2015,21957,2303],{"stretchy":2302},[2124,21959,21960,21962],{},[1971,21961,2128],{},[1971,21963,2013],{},[2015,21965,2312],{"stretchy":2302},[1971,21967,2297],{},[2015,21969,2303],{"stretchy":2302},[2124,21971,21972,21974],{},[1971,21973,2128],{},[1971,21975,2013],{},[5424,21977,21978,21980],{},[2015,21979,2312],{"stretchy":2302},[1968,21981,21982,21984,21986],{},[1971,21983,1973],{},[2015,21985,3607],{},[2019,21987,2021],{},[2015,21989,13680],{},[1971,21991,3489],{},[2015,21993,2303],{"stretchy":2302},[2124,21995,21996,21998],{},[1971,21997,2128],{},[1971,21999,2013],{},[2015,22001,2312],{"stretchy":2302},[2015,22003,2303],{"stretchy":2302},[1971,22005,1973],{},[2015,22007,3607],{},[2019,22009,2021],{},[2015,22011,2312],{"stretchy":2302},[1971,22013,2297],{},[2015,22015,2303],{"stretchy":2302},[2124,22017,22018,22020],{},[1971,22019,2128],{},[1971,22021,2013],{},[5424,22023,22024,22026],{},[2015,22025,2312],{"stretchy":2302},[1968,22027,22028,22030,22032],{},[1971,22029,1973],{},[2015,22031,3607],{},[2019,22033,2027],{},[1971,22035,2707],{},[2015,22037,2303],{"stretchy":2302},[2124,22039,22040,22042],{},[1971,22041,2128],{},[1971,22043,2013],{},[2015,22045,2312],{"stretchy":2302},[2015,22047,2017],{},[2015,22049,2303],{"stretchy":2302},[1971,22051,1973],{},[2015,22053,3607],{},[2019,22055,2021],{},[2015,22057,2312],{"stretchy":2302},[2124,22059,22060,22062],{},[1971,22061,2128],{},[1971,22063,2013],{},[1971,22065,2297],{},[2015,22067,2303],{"stretchy":2302},[2124,22069,22070,22072],{},[1971,22071,2128],{},[1971,22073,2013],{},[5424,22075,22076,22078],{},[2015,22077,2312],{"stretchy":2302},[1968,22079,22080,22082,22084],{},[1971,22081,1973],{},[2015,22083,3607],{},[2019,22085,2027],{},[1971,22087,2707],{},[2015,22089,2303],{"stretchy":2302},[2124,22091,22092,22094],{},[1971,22093,2128],{},[1971,22095,2013],{},[2015,22097,2312],{"stretchy":2302},[1975,22099,22100],{"encoding":1977},"b'(\\theta_i) F(\\theta_i)^{N-1} + b(\\theta_i) (N-1) F(\\theta_i)^{N-2} f(\\theta_i) = (N-1) \\theta_i F(\\theta_i)^{N-2} f(\\theta_i)",[1952,22102,22104,22281,22351,22505,22526],{"className":22103,"ariaHidden":1982},[1981],[1952,22105,22107,22110,22142,22145,22185,22188,22191,22194,22234,22272,22275,22278],{"className":22106},[1986],[1952,22108],{"className":22109,"style":19784},[1990],[1952,22111,22113,22116],{"className":22112},[1995],[1952,22114,3489],{"className":22115},[1995,1996],[1952,22117,22119],{"className":22118},[2165],[1952,22120,22122],{"className":22121},[2169],[1952,22123,22125],{"className":22124},[2174],[1952,22126,22128],{"className":22127,"style":6575},[2178],[1952,22129,22130,22133],{"style":6270},[1952,22131],{"className":22132,"style":2187},[2186],[1952,22134,22136],{"className":22135},[2191,2192,2193,2194],[1952,22137,22139],{"className":22138},[1995,2194],[1952,22140,6146],{"className":22141},[1995,2194],[1952,22143,2303],{"className":22144},[2426],[1952,22146,22148,22151],{"className":22147},[1995],[1952,22149,2128],{"className":22150,"style":2161},[1995,1996],[1952,22152,22154],{"className":22153},[2165],[1952,22155,22157,22177],{"className":22156},[2169,2170],[1952,22158,22160,22174],{"className":22159},[2174],[1952,22161,22163],{"className":22162,"style":2179},[2178],[1952,22164,22165,22168],{"style":2182},[1952,22166],{"className":22167,"style":2187},[2186],[1952,22169,22171],{"className":22170},[2191,2192,2193,2194],[1952,22172,2013],{"className":22173},[1995,1996,2194],[1952,22175,2202],{"className":22176},[2201],[1952,22178,22180],{"className":22179},[2174],[1952,22181,22183],{"className":22182,"style":2209},[2178],[1952,22184],{},[1952,22186,2312],{"className":22187},[2470],[1952,22189,2297],{"className":22190,"style":2387},[1995,1996],[1952,22192,2303],{"className":22193},[2426],[1952,22195,22197,22200],{"className":22196},[1995],[1952,22198,2128],{"className":22199,"style":2161},[1995,1996],[1952,22201,22203],{"className":22202},[2165],[1952,22204,22206,22226],{"className":22205},[2169,2170],[1952,22207,22209,22223],{"className":22208},[2174],[1952,22210,22212],{"className":22211,"style":2179},[2178],[1952,22213,22214,22217],{"style":2182},[1952,22215],{"className":22216,"style":2187},[2186],[1952,22218,22220],{"className":22219},[2191,2192,2193,2194],[1952,22221,2013],{"className":22222},[1995,1996,2194],[1952,22224,2202],{"className":22225},[2201],[1952,22227,22229],{"className":22228},[2174],[1952,22230,22232],{"className":22231,"style":2209},[2178],[1952,22233],{},[1952,22235,22237,22240],{"className":22236},[2470],[1952,22238,2312],{"className":22239},[2470],[1952,22241,22243],{"className":22242},[2165],[1952,22244,22246],{"className":22245},[2169],[1952,22247,22249],{"className":22248},[2174],[1952,22250,22252],{"className":22251,"style":19894},[2178],[1952,22253,22254,22257],{"style":6270},[1952,22255],{"className":22256,"style":2187},[2186],[1952,22258,22260],{"className":22259},[2191,2192,2193,2194],[1952,22261,22263,22266,22269],{"className":22262},[1995,2194],[1952,22264,1973],{"className":22265,"style":1997},[1995,1996,2194],[1952,22267,3607],{"className":22268},[5482,2194],[1952,22270,2021],{"className":22271},[1995,2194],[1952,22273],{"className":22274,"style":8948},[2056],[1952,22276,13680],{"className":22277},[5482],[1952,22279],{"className":22280,"style":8948},[2056],[1952,22282,22284,22287,22290,22293,22333,22336,22339,22342,22345,22348],{"className":22283},[1986],[1952,22285],{"className":22286,"style":2380},[1990],[1952,22288,3489],{"className":22289},[1995,1996],[1952,22291,2303],{"className":22292},[2426],[1952,22294,22296,22299],{"className":22295},[1995],[1952,22297,2128],{"className":22298,"style":2161},[1995,1996],[1952,22300,22302],{"className":22301},[2165],[1952,22303,22305,22325],{"className":22304},[2169,2170],[1952,22306,22308,22322],{"className":22307},[2174],[1952,22309,22311],{"className":22310,"style":2179},[2178],[1952,22312,22313,22316],{"style":2182},[1952,22314],{"className":22315,"style":2187},[2186],[1952,22317,22319],{"className":22318},[2191,2192,2193,2194],[1952,22320,2013],{"className":22321},[1995,1996,2194],[1952,22323,2202],{"className":22324},[2201],[1952,22326,22328],{"className":22327},[2174],[1952,22329,22331],{"className":22330,"style":2209},[2178],[1952,22332],{},[1952,22334,2312],{"className":22335},[2470],[1952,22337,2303],{"className":22338},[2426],[1952,22340,1973],{"className":22341,"style":1997},[1995,1996],[1952,22343],{"className":22344,"style":8948},[2056],[1952,22346,3607],{"className":22347},[5482],[1952,22349],{"className":22350,"style":8948},[2056],[1952,22352,22354,22357,22360,22363,22366,22369,22409,22447,22450,22453,22493,22496,22499,22502],{"className":22353},[1986],[1952,22355],{"className":22356,"style":19784},[1990],[1952,22358,2021],{"className":22359},[1995],[1952,22361,2312],{"className":22362},[2470],[1952,22364,2297],{"className":22365,"style":2387},[1995,1996],[1952,22367,2303],{"className":22368},[2426],[1952,22370,22372,22375],{"className":22371},[1995],[1952,22373,2128],{"className":22374,"style":2161},[1995,1996],[1952,22376,22378],{"className":22377},[2165],[1952,22379,22381,22401],{"className":22380},[2169,2170],[1952,22382,22384,22398],{"className":22383},[2174],[1952,22385,22387],{"className":22386,"style":2179},[2178],[1952,22388,22389,22392],{"style":2182},[1952,22390],{"className":22391,"style":2187},[2186],[1952,22393,22395],{"className":22394},[2191,2192,2193,2194],[1952,22396,2013],{"className":22397},[1995,1996,2194],[1952,22399,2202],{"className":22400},[2201],[1952,22402,22404],{"className":22403},[2174],[1952,22405,22407],{"className":22406,"style":2209},[2178],[1952,22408],{},[1952,22410,22412,22415],{"className":22411},[2470],[1952,22413,2312],{"className":22414},[2470],[1952,22416,22418],{"className":22417},[2165],[1952,22419,22421],{"className":22420},[2169],[1952,22422,22424],{"className":22423},[2174],[1952,22425,22427],{"className":22426,"style":19894},[2178],[1952,22428,22429,22432],{"style":6270},[1952,22430],{"className":22431,"style":2187},[2186],[1952,22433,22435],{"className":22434},[2191,2192,2193,2194],[1952,22436,22438,22441,22444],{"className":22437},[1995,2194],[1952,22439,1973],{"className":22440,"style":1997},[1995,1996,2194],[1952,22442,3607],{"className":22443},[5482,2194],[1952,22445,2027],{"className":22446},[1995,2194],[1952,22448,2707],{"className":22449,"style":2734},[1995,1996],[1952,22451,2303],{"className":22452},[2426],[1952,22454,22456,22459],{"className":22455},[1995],[1952,22457,2128],{"className":22458,"style":2161},[1995,1996],[1952,22460,22462],{"className":22461},[2165],[1952,22463,22465,22485],{"className":22464},[2169,2170],[1952,22466,22468,22482],{"className":22467},[2174],[1952,22469,22471],{"className":22470,"style":2179},[2178],[1952,22472,22473,22476],{"style":2182},[1952,22474],{"className":22475,"style":2187},[2186],[1952,22477,22479],{"className":22478},[2191,2192,2193,2194],[1952,22480,2013],{"className":22481},[1995,1996,2194],[1952,22483,2202],{"className":22484},[2201],[1952,22486,22488],{"className":22487},[2174],[1952,22489,22491],{"className":22490,"style":2209},[2178],[1952,22492],{},[1952,22494,2312],{"className":22495},[2470],[1952,22497],{"className":22498,"style":2057},[2056],[1952,22500,2017],{"className":22501},[2061],[1952,22503],{"className":22504,"style":2057},[2056],[1952,22506,22508,22511,22514,22517,22520,22523],{"className":22507},[1986],[1952,22509],{"className":22510,"style":2380},[1990],[1952,22512,2303],{"className":22513},[2426],[1952,22515,1973],{"className":22516,"style":1997},[1995,1996],[1952,22518],{"className":22519,"style":8948},[2056],[1952,22521,3607],{"className":22522},[5482],[1952,22524],{"className":22525,"style":8948},[2056],[1952,22527,22529,22532,22535,22538,22578,22581,22584,22624,22662,22665,22668,22708],{"className":22528},[1986],[1952,22530],{"className":22531,"style":19784},[1990],[1952,22533,2021],{"className":22534},[1995],[1952,22536,2312],{"className":22537},[2470],[1952,22539,22541,22544],{"className":22540},[1995],[1952,22542,2128],{"className":22543,"style":2161},[1995,1996],[1952,22545,22547],{"className":22546},[2165],[1952,22548,22550,22570],{"className":22549},[2169,2170],[1952,22551,22553,22567],{"className":22552},[2174],[1952,22554,22556],{"className":22555,"style":2179},[2178],[1952,22557,22558,22561],{"style":2182},[1952,22559],{"className":22560,"style":2187},[2186],[1952,22562,22564],{"className":22563},[2191,2192,2193,2194],[1952,22565,2013],{"className":22566},[1995,1996,2194],[1952,22568,2202],{"className":22569},[2201],[1952,22571,22573],{"className":22572},[2174],[1952,22574,22576],{"className":22575,"style":2209},[2178],[1952,22577],{},[1952,22579,2297],{"className":22580,"style":2387},[1995,1996],[1952,22582,2303],{"className":22583},[2426],[1952,22585,22587,22590],{"className":22586},[1995],[1952,22588,2128],{"className":22589,"style":2161},[1995,1996],[1952,22591,22593],{"className":22592},[2165],[1952,22594,22596,22616],{"className":22595},[2169,2170],[1952,22597,22599,22613],{"className":22598},[2174],[1952,22600,22602],{"className":22601,"style":2179},[2178],[1952,22603,22604,22607],{"style":2182},[1952,22605],{"className":22606,"style":2187},[2186],[1952,22608,22610],{"className":22609},[2191,2192,2193,2194],[1952,22611,2013],{"className":22612},[1995,1996,2194],[1952,22614,2202],{"className":22615},[2201],[1952,22617,22619],{"className":22618},[2174],[1952,22620,22622],{"className":22621,"style":2209},[2178],[1952,22623],{},[1952,22625,22627,22630],{"className":22626},[2470],[1952,22628,2312],{"className":22629},[2470],[1952,22631,22633],{"className":22632},[2165],[1952,22634,22636],{"className":22635},[2169],[1952,22637,22639],{"className":22638},[2174],[1952,22640,22642],{"className":22641,"style":19894},[2178],[1952,22643,22644,22647],{"style":6270},[1952,22645],{"className":22646,"style":2187},[2186],[1952,22648,22650],{"className":22649},[2191,2192,2193,2194],[1952,22651,22653,22656,22659],{"className":22652},[1995,2194],[1952,22654,1973],{"className":22655,"style":1997},[1995,1996,2194],[1952,22657,3607],{"className":22658},[5482,2194],[1952,22660,2027],{"className":22661},[1995,2194],[1952,22663,2707],{"className":22664,"style":2734},[1995,1996],[1952,22666,2303],{"className":22667},[2426],[1952,22669,22671,22674],{"className":22670},[1995],[1952,22672,2128],{"className":22673,"style":2161},[1995,1996],[1952,22675,22677],{"className":22676},[2165],[1952,22678,22680,22700],{"className":22679},[2169,2170],[1952,22681,22683,22697],{"className":22682},[2174],[1952,22684,22686],{"className":22685,"style":2179},[2178],[1952,22687,22688,22691],{"style":2182},[1952,22689],{"className":22690,"style":2187},[2186],[1952,22692,22694],{"className":22693},[2191,2192,2193,2194],[1952,22695,2013],{"className":22696},[1995,1996,2194],[1952,22698,2202],{"className":22699},[2201],[1952,22701,22703],{"className":22702},[2174],[1952,22704,22706],{"className":22705,"style":2209},[2178],[1952,22707],{},[1952,22709,2312],{"className":22710},[2470],[1798,22712,22713,22714,23049],{},"左边是 ",[1952,22715,22717,22782],{"className":22716},[1955],[1952,22718,22720],{"className":22719},[1959],[1961,22721,22722],{"xmlns":1963},[1965,22723,22724,22779],{},[1968,22725,22726,22741,22743,22745,22747,22753,22755,22757,22759,22765,22777],{},[20202,22727,22728,22731],{},[1971,22729,22730],{},"d",[1968,22732,22733,22735],{},[1971,22734,22730],{},[2124,22736,22737,22739],{},[1971,22738,2128],{},[1971,22740,2013],{},[2015,22742,18209],{"stretchy":2302},[1971,22744,3489],{},[2015,22746,2303],{"stretchy":2302},[2124,22748,22749,22751],{},[1971,22750,2128],{},[1971,22752,2013],{},[2015,22754,2312],{"stretchy":2302},[1971,22756,2297],{},[2015,22758,2303],{"stretchy":2302},[2124,22760,22761,22763],{},[1971,22762,2128],{},[1971,22764,2013],{},[5424,22766,22767,22769],{},[2015,22768,2312],{"stretchy":2302},[1968,22770,22771,22773,22775],{},[1971,22772,1973],{},[2015,22774,3607],{},[2019,22776,2021],{},[2015,22778,18223],{"stretchy":2302},[1975,22780,22781],{"encoding":1977},"\\frac{d}{d\\theta_i}[b(\\theta_i) F(\\theta_i)^{N-1}]",[1952,22783,22785],{"className":22784,"ariaHidden":1982},[1981],[1952,22786,22788,22792,22910,22913,22916,22919,22959,22962,22965,22968,23008,23046],{"className":22787},[1986],[1952,22789],{"className":22790,"style":22791},[1990],"height:1.3252em;vertical-align:-0.4451em;",[1952,22793,22795,22798,22907],{"className":22794},[1995],[1952,22796],{"className":22797},[2426,20422],[1952,22799,22801],{"className":22800},[20202],[1952,22802,22804,22898],{"className":22803},[2169,2170],[1952,22805,22807,22895],{"className":22806},[2174],[1952,22808,22811,22872,22880],{"className":22809,"style":22810},[2178],"height:0.8801em;",[1952,22812,22814,22817],{"style":22813},"top:-2.655em;",[1952,22815],{"className":22816,"style":3164},[2186],[1952,22818,22820],{"className":22819},[2191,2192,2193,2194],[1952,22821,22823,22826],{"className":22822},[1995,2194],[1952,22824,22730],{"className":22825},[1995,1996,2194],[1952,22827,22829,22832],{"className":22828},[1995,2194],[1952,22830,2128],{"className":22831,"style":2161},[1995,1996,2194],[1952,22833,22835],{"className":22834},[2165],[1952,22836,22838,22863],{"className":22837},[2169,2170],[1952,22839,22841,22860],{"className":22840},[2174],[1952,22842,22845],{"className":22843,"style":22844},[2178],"height:0.3281em;",[1952,22846,22848,22852],{"style":22847},"top:-2.357em;margin-left:-0.0278em;margin-right:0.0714em;",[1952,22849],{"className":22850,"style":22851},[2186],"height:2.5em;",[1952,22853,22857],{"className":22854},[2191,22855,22856,2194],"reset-size3","size1",[1952,22858,2013],{"className":22859},[1995,1996,2194],[1952,22861,2202],{"className":22862},[2201],[1952,22864,22866],{"className":22865},[2174],[1952,22867,22870],{"className":22868,"style":22869},[2178],"height:0.143em;",[1952,22871],{},[1952,22873,22874,22877],{"style":20491},[1952,22875],{"className":22876,"style":3164},[2186],[1952,22878],{"className":22879,"style":20499},[20498],[1952,22881,22883,22886],{"style":22882},"top:-3.394em;",[1952,22884],{"className":22885,"style":3164},[2186],[1952,22887,22889],{"className":22888},[2191,2192,2193,2194],[1952,22890,22892],{"className":22891},[1995,2194],[1952,22893,22730],{"className":22894},[1995,1996,2194],[1952,22896,2202],{"className":22897},[2201],[1952,22899,22901],{"className":22900},[2174],[1952,22902,22905],{"className":22903,"style":22904},[2178],"height:0.4451em;",[1952,22906],{},[1952,22908],{"className":22909},[2470,20422],[1952,22911,18209],{"className":22912},[2426],[1952,22914,3489],{"className":22915},[1995,1996],[1952,22917,2303],{"className":22918},[2426],[1952,22920,22922,22925],{"className":22921},[1995],[1952,22923,2128],{"className":22924,"style":2161},[1995,1996],[1952,22926,22928],{"className":22927},[2165],[1952,22929,22931,22951],{"className":22930},[2169,2170],[1952,22932,22934,22948],{"className":22933},[2174],[1952,22935,22937],{"className":22936,"style":2179},[2178],[1952,22938,22939,22942],{"style":2182},[1952,22940],{"className":22941,"style":2187},[2186],[1952,22943,22945],{"className":22944},[2191,2192,2193,2194],[1952,22946,2013],{"className":22947},[1995,1996,2194],[1952,22949,2202],{"className":22950},[2201],[1952,22952,22954],{"className":22953},[2174],[1952,22955,22957],{"className":22956,"style":2209},[2178],[1952,22958],{},[1952,22960,2312],{"className":22961},[2470],[1952,22963,2297],{"className":22964,"style":2387},[1995,1996],[1952,22966,2303],{"className":22967},[2426],[1952,22969,22971,22974],{"className":22970},[1995],[1952,22972,2128],{"className":22973,"style":2161},[1995,1996],[1952,22975,22977],{"className":22976},[2165],[1952,22978,22980,23000],{"className":22979},[2169,2170],[1952,22981,22983,22997],{"className":22982},[2174],[1952,22984,22986],{"className":22985,"style":2179},[2178],[1952,22987,22988,22991],{"style":2182},[1952,22989],{"className":22990,"style":2187},[2186],[1952,22992,22994],{"className":22993},[2191,2192,2193,2194],[1952,22995,2013],{"className":22996},[1995,1996,2194],[1952,22998,2202],{"className":22999},[2201],[1952,23001,23003],{"className":23002},[2174],[1952,23004,23006],{"className":23005,"style":2209},[2178],[1952,23007],{},[1952,23009,23011,23014],{"className":23010},[2470],[1952,23012,2312],{"className":23013},[2470],[1952,23015,23017],{"className":23016},[2165],[1952,23018,23020],{"className":23019},[2169],[1952,23021,23023],{"className":23022},[2174],[1952,23024,23026],{"className":23025,"style":19502},[2178],[1952,23027,23028,23031],{"style":5472},[1952,23029],{"className":23030,"style":2187},[2186],[1952,23032,23034],{"className":23033},[2191,2192,2193,2194],[1952,23035,23037,23040,23043],{"className":23036},[1995,2194],[1952,23038,1973],{"className":23039,"style":1997},[1995,1996,2194],[1952,23041,3607],{"className":23042},[5482,2194],[1952,23044,2021],{"className":23045},[1995,2194],[1952,23047,18223],{"className":23048},[2470],"，因此：",[1952,23051,23053],{"className":23052},[3565],[1952,23054,23056,23172],{"className":23055},[1955],[1952,23057,23059],{"className":23058},[1959],[1961,23060,23061],{"xmlns":1963,"display":3574},[1965,23062,23063,23169],{},[1968,23064,23065,23079,23081,23083,23085,23091,23093,23095,23097,23103,23115,23117,23119,23121,23123,23125,23127,23129,23135,23137,23139,23145,23157,23159,23161,23167],{},[20202,23066,23067,23069],{},[1971,23068,22730],{},[1968,23070,23071,23073],{},[1971,23072,22730],{},[2124,23074,23075,23077],{},[1971,23076,2128],{},[1971,23078,2013],{},[2015,23080,18209],{"stretchy":2302},[1971,23082,3489],{},[2015,23084,2303],{"stretchy":2302},[2124,23086,23087,23089],{},[1971,23088,2128],{},[1971,23090,2013],{},[2015,23092,2312],{"stretchy":2302},[1971,23094,2297],{},[2015,23096,2303],{"stretchy":2302},[2124,23098,23099,23101],{},[1971,23100,2128],{},[1971,23102,2013],{},[5424,23104,23105,23107],{},[2015,23106,2312],{"stretchy":2302},[1968,23108,23109,23111,23113],{},[1971,23110,1973],{},[2015,23112,3607],{},[2019,23114,2021],{},[2015,23116,18223],{"stretchy":2302},[2015,23118,2017],{},[2015,23120,2303],{"stretchy":2302},[1971,23122,1973],{},[2015,23124,3607],{},[2019,23126,2021],{},[2015,23128,2312],{"stretchy":2302},[2124,23130,23131,23133],{},[1971,23132,2128],{},[1971,23134,2013],{},[1971,23136,2297],{},[2015,23138,2303],{"stretchy":2302},[2124,23140,23141,23143],{},[1971,23142,2128],{},[1971,23144,2013],{},[5424,23146,23147,23149],{},[2015,23148,2312],{"stretchy":2302},[1968,23150,23151,23153,23155],{},[1971,23152,1973],{},[2015,23154,3607],{},[2019,23156,2027],{},[1971,23158,2707],{},[2015,23160,2303],{"stretchy":2302},[2124,23162,23163,23165],{},[1971,23164,2128],{},[1971,23166,2013],{},[2015,23168,2312],{"stretchy":2302},[1975,23170,23171],{"encoding":1977},"\\frac{d}{d\\theta_i}[b(\\theta_i) F(\\theta_i)^{N-1}] = (N-1) \\theta_i F(\\theta_i)^{N-2} 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",[1952,23641,23643,23656],{"className":23642},[1955],[1952,23644,23646],{"className":23645},[1959],[1961,23647,23648],{"xmlns":1963},[1965,23649,23650,23654],{},[1968,23651,23652],{},[2019,23653,9173],{},[1975,23655,9173],{"encoding":1977},[1952,23657,23659],{"className":23658,"ariaHidden":1982},[1981],[1952,23660,23662,23665],{"className":23661},[1986],[1952,23663],{"className":23664,"style":9241},[1990],[1952,23666,9173],{"className":23667},[1995]," 到 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F(\\theta_i)^{N-1} = \\int_0^{\\theta_i} (N-1) s F(s)^{N-2} f(s) ds",[1952,23916,23918,24066,24184],{"className":23917,"ariaHidden":1982},[1981],[1952,23919,23921,23924,23927,23930,23970,23973,23976,23979,24019,24057,24060,24063],{"className":23920},[1986],[1952,23922],{"className":23923,"style":19784},[1990],[1952,23925,3489],{"className":23926},[1995,1996],[1952,23928,2303],{"className":23929},[2426],[1952,23931,23933,23936],{"className":23932},[1995],[1952,23934,2128],{"className":23935,"style":2161},[1995,1996],[1952,23937,23939],{"className":23938},[2165],[1952,23940,23942,23962],{"className":23941},[2169,2170],[1952,23943,23945,23959],{"className":23944},[2174],[1952,23946,23948],{"className":23947,"style":2179},[2178],[1952,23949,23950,23953],{"style":2182},[1952,23951],{"className":23952,"style":2187},[2186],[1952,23954,23956],{"className":23955},[2191,2192,2193,2194],[1952,23957,2013],{"className":23958},[1995,1996,2194],[1952,23960,2202],{"className":23961},[2201],[1952,23963,23965],{"className":23964},[2174],[1952,23966,23968],{"className":23967,"style":2209},[2178],[1952,23969],{},[1952,23971,2312],{"className":23972},[2470],[1952,23974,2297],{"className":23975,"style":2387},[1995,1996],[1952,23977,2303],{"className":23978},[2426],[1952,23980,23982,23985],{"className":23981},[1995],[1952,23983,2128],{"className":23984,"style":2161},[1995,1996],[1952,23986,23988],{"className":23987},[2165],[1952,23989,23991,24011],{"className":23990},[2169,2170],[1952,23992,23994,24008],{"className":23993},[2174],[1952,23995,23997],{"className":23996,"style":2179},[2178],[1952,23998,23999,24002],{"style":2182},[1952,24000],{"className":24001,"style":2187},[2186],[1952,24003,24005],{"className":24004},[2191,2192,2193,2194],[1952,24006,2013],{"className":24007},[1995,1996,2194],[1952,24009,2202],{"className":24010},[2201],[1952,24012,24014],{"className":24013},[2174],[1952,24015,24017],{"className":24016,"style":2209},[2178],[1952,24018],{},[1952,24020,24022,24025],{"className":24021},[2470],[1952,24023,2312],{"className":24024},[2470],[1952,24026,24028],{"className":24027},[2165],[1952,24029,24031],{"className":24030},[2169],[1952,24032,24034],{"className":24033},[2174],[1952,24035,24037],{"className":24036,"style":19894},[2178],[1952,24038,24039,24042],{"style":6270},[1952,24040],{"className":24041,"style":2187},[2186],[1952,24043,24045],{"className":24044},[2191,2192,2193,2194],[1952,24046,24048,24051,24054],{"className":24047},[1995,2194],[1952,24049,1973],{"className":24050,"style":1997},[1995,1996,2194],[1952,24052,3607],{"className":24053},[5482,2194],[1952,24055,2021],{"className":24056},[1995,2194],[1952,24058],{"className":24059,"style":2057},[2056],[1952,24061,2017],{"className":24062},[2061],[1952,24064],{"className":24065,"style":2057},[2056],[1952,24067,24069,24073,24169,24172,24175,24178,24181],{"className":24068},[1986],[1952,24070],{"className":24071,"style":24072},[1990],"height:2.511em;vertical-align:-0.9119em;",[1952,24074,24076,24080],{"className":24075},[7832],[1952,24077,23860],{"className":24078,"style":24079},[7832,11942,11943],"margin-right:0.4445em;position:relative;top:-0.0011em;",[1952,24081,24083],{"className":24082},[2165],[1952,24084,24086,24160],{"className":24085},[2169,2170],[1952,24087,24089,24157],{"className":24088},[2174],[1952,24090,24093,24105],{"className":24091,"style":24092},[2178],"height:1.599em;",[1952,24094,24096,24099],{"style":24095},"top:-1.7881em;margin-left:-0.4445em;margin-right:0.05em;",[1952,24097],{"className":24098,"style":2187},[2186],[1952,24100,24102],{"className":24101},[2191,2192,2193,2194],[1952,24103,9173],{"className":24104},[1995,2194],[1952,24106,24108,24111],{"style":24107},"top:-3.8129em;margin-right:0.05em;",[1952,24109],{"className":24110,"style":2187},[2186],[1952,24112,24114],{"className":24113},[2191,2192,2193,2194],[1952,24115,24117],{"className":24116},[1995,2194],[1952,24118,24120,24123],{"className":24119},[1995,2194],[1952,24121,2128],{"className":24122,"style":2161},[1995,1996,2194],[1952,24124,24126],{"className":24125},[2165],[1952,24127,24129,24149],{"className":24128},[2169,2170],[1952,24130,24132,24146],{"className":24131},[2174],[1952,24133,24135],{"className":24134,"style":22844},[2178],[1952,24136,24137,24140],{"style":22847},[1952,24138],{"className":24139,"style":22851},[2186],[1952,24141,24143],{"className":24142},[2191,22855,22856,2194],[1952,24144,2013],{"className":24145},[1995,1996,2194],[1952,24147,2202],{"className":24148},[2201],[1952,24150,24152],{"className":24151},[2174],[1952,24153,24155],{"className":24154,"style":22869},[2178],[1952,24156],{},[1952,24158,2202],{"className":24159},[2201],[1952,24161,24163],{"className":24162},[2174],[1952,24164,24167],{"className":24165,"style":24166},[2178],"height:0.9119em;",[1952,24168],{},[1952,24170,2303],{"className":24171},[2426],[1952,24173,1973],{"className":24174,"style":1997},[1995,1996],[1952,24176],{"className":24177,"style":8948},[2056],[1952,24179,3607],{"className":24180},[5482],[1952,24182],{"className":24183,"style":8948},[2056],[1952,24185,24187,24190,24193,24196,24199,24202,24205,24208,24246,24249,24252,24255,24258,24261],{"className":24186},[1986],[1952,24188],{"className":24189,"style":19784},[1990],[1952,24191,2021],{"className":24192},[1995],[1952,24194,2312],{"className":24195},[2470],[1952,24197,23881],{"className":24198},[1995,1996],[1952,24200,2297],{"className":24201,"style":2387},[1995,1996],[1952,24203,2303],{"className":24204},[2426],[1952,24206,23881],{"className":24207},[1995,1996],[1952,24209,24211,24214],{"className":24210},[2470],[1952,24212,2312],{"className":24213},[2470],[1952,24215,24217],{"className":24216},[2165],[1952,24218,24220],{"className":24219},[2169],[1952,24221,24223],{"className":24222},[2174],[1952,24224,24226],{"className":24225,"style":19894},[2178],[1952,24227,24228,24231],{"style":6270},[1952,24229],{"className":24230,"style":2187},[2186],[1952,24232,24234],{"className":24233},[2191,2192,2193,2194],[1952,24235,24237,24240,24243],{"className":24236},[1995,2194],[1952,24238,1973],{"className":24239,"style":1997},[1995,1996,2194],[1952,24241,3607],{"className":24242},[5482,2194],[1952,24244,2027],{"className":24245},[1995,2194],[1952,24247,2707],{"className":24248,"style":2734},[1995,1996],[1952,24250,2303],{"className":24251},[2426],[1952,24253,23881],{"className":24254},[1995,1996],[1952,24256,2312],{"className":24257},[2470],[1952,24259,22730],{"className":24260},[1995,1996],[1952,24262,23881],{"className":24263},[1995,1996],[1952,24265,24267],{"className":24266},[3565],[1952,24268,24270,24425],{"className":24269},[1955],[1952,24271,24273],{"className":24272},[1959],[1961,24274,24275],{"xmlns":1963,"display":3574},[1965,24276,24277,24422],{},[1968,24278,24279,24281,24283,24289,24291,24293,24321,24333,24335,24337,24339,24341,24343,24345,24347,24349,24351,24363,24365,24367,24369,24371,24373,24375,24377,24380,24382,24398,24400,24412,24414,24420],{},[1971,24280,3489],{},[2015,24282,2303],{"stretchy":2302},[2124,24284,24285,24287],{},[1971,24286,2128],{},[1971,24288,2013],{},[2015,24290,2312],{"stretchy":2302},[2015,24292,2017],{},[20202,24294,24295,24297],{},[2019,24296,2021],{},[1968,24298,24299,24301,24303,24309],{},[1971,24300,2297],{},[2015,24302,2303],{"stretchy":2302},[2124,24304,24305,24307],{},[1971,24306,2128],{},[1971,24308,2013],{},[5424,24310,24311,24313],{},[2015,24312,2312],{"stretchy":2302},[1968,24314,24315,24317,24319],{},[1971,24316,1973],{},[2015,24318,3607],{},[2019,24320,2021],{},[6085,24322,24323,24325,24327],{},[2015,24324,23860],{},[2019,24326,9173],{},[2124,24328,24329,24331],{},[1971,24330,2128],{},[1971,24332,2013],{},[2015,24334,2303],{"stretchy":2302},[1971,24336,1973],{},[2015,24338,3607],{},[2019,24340,2021],{},[2015,24342,2312],{"stretchy":2302},[1971,24344,23881],{},[1971,24346,2297],{},[2015,24348,2303],{"stretchy":2302},[1971,24350,23881],{},[5424,24352,24353,24355],{},[2015,24354,2312],{"stretchy":2302},[1968,24356,24357,24359,24361],{},[1971,24358,1973],{},[2015,24360,3607],{},[2019,24362,2027],{},[1971,24364,2707],{},[2015,24366,2303],{"stretchy":2302},[1971,24368,23881],{},[2015,24370,2312],{"stretchy":2302},[1971,24372,22730],{},[1971,24374,23881],{},[2015,24376,2017],{},[1971,24378,24379],{},"E",[2015,24381,18209],{"stretchy":2302},[2124,24383,24384,24386],{},[1971,24385,2128],{},[1968,24387,24388,24390,24392,24394,24396],{},[2015,24389,2303],{"stretchy":2302},[1971,24391,1973],{},[2015,24393,3607],{},[2019,24395,2021],{},[2015,24397,2312],{"stretchy":2302},[1971,24399,19557],{"mathvariant":2138},[2124,24401,24402,24404],{},[1971,24403,2128],{},[1968,24405,24406,24408,24410],{},[2015,24407,2303],{"stretchy":2302},[1971,24409,1973],{},[2015,24411,2312],{"stretchy":2302},[2015,24413,2017],{},[2124,24415,24416,24418],{},[1971,24417,2128],{},[1971,24419,2013],{},[2015,24421,18223],{"stretchy":2302},[1975,24423,24424],{"encoding":1977},"b(\\theta_i) = \\frac{1}{F(\\theta_i)^{N-1}} \\int_0^{\\theta_i} (N-1) s F(s)^{N-2} f(s) ds = E[\\theta_{(N-1)} | \\theta_{(N)} = 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2",[1952,25297,25299,25317],{"className":25298,"ariaHidden":1982},[1981],[1952,25300,25302,25305,25308,25311,25314],{"className":25301},[1986],[1952,25303],{"className":25304,"style":1991},[1990],[1952,25306,1973],{"className":25307,"style":1997},[1995,1996],[1952,25309],{"className":25310,"style":2057},[2056],[1952,25312,2017],{"className":25313},[2061],[1952,25315],{"className":25316,"style":2057},[2056],[1952,25318,25320,25323],{"className":25319},[1986],[1952,25321],{"className":25322,"style":9241},[1990],[1952,25324,2027],{"className":25325},[1995],[1798,25327,25328,1946],{},[1850,25329,25330],{},"二级价格拍卖",[1805,25332,25333,25468],{},[1808,25334,25335,25336],{},"均衡：",[1952,25337,25339,25364],{"className":25338},[1955],[1952,25340,25342],{"className":25341},[1959],[1961,25343,25344],{"xmlns":1963},[1965,25345,25346,25362],{},[1968,25347,25348,25354,25356],{},[2124,25349,25350,25352],{},[1971,25351,3489],{},[1971,25353,2013],{},[2015,25355,2017],{},[2124,25357,25358,25360],{},[1971,25359,2128],{},[1971,25361,2013],{},[1975,25363,8190],{"encoding":1977},[1952,25365,25367,25422],{"className":25366,"ariaHidden":1982},[1981],[1952,25368,25370,25373,25413,25416,25419],{"className":25369},[1986],[1952,25371],{"className":25372,"style":2154},[1990],[1952,25374,25376,25379],{"className":25375},[1995],[1952,25377,3489],{"className":25378},[1995,1996],[1952,25380,25382],{"className":25381},[2165],[1952,25383,25385,25405],{"className":25384},[2169,2170],[1952,25386,25388,25402],{"className":25387},[2174],[1952,25389,25391],{"className":25390,"style":2179},[2178],[1952,25392,25393,25396],{"style":2248},[1952,25394],{"className":25395,"style":2187},[2186],[1952,25397,25399],{"className":25398},[2191,2192,2193,2194],[1952,25400,2013],{"className":25401},[1995,1996,2194],[1952,25403,2202],{"className":25404},[2201],[1952,25406,25408],{"className":25407},[2174],[1952,25409,25411],{"className":25410,"style":2209},[2178],[1952,25412],{},[1952,25414],{"className":25415,"style":2057},[2056],[1952,25417,2017],{"className":25418},[2061],[1952,25420],{"className":25421,"style":2057},[2056],[1952,25423,25425,25428],{"className":25424},[1986],[1952,25426],{"className":25427,"style":2154},[1990],[1952,25429,25431,25434],{"className":25430},[1995],[1952,25432,2128],{"className":25433,"style":2161},[1995,1996],[1952,25435,25437],{"className":25436},[2165],[1952,25438,25440,25460],{"className":25439},[2169,2170],[1952,25441,25443,25457],{"className":25442},[2174],[1952,25444,25446],{"className":25445,"style":2179},[2178],[1952,25447,25448,25451],{"style":2182},[1952,25449],{"className":25450,"style":2187},[2186],[1952,25452,25454],{"className":25453},[2191,2192,2193,2194],[1952,25455,2013],{"className":25456},[1995,1996,2194],[1952,25458,2202],{"className":25459},[2201],[1952,25461,25463],{"className":25462},[2174],[1952,25464,25466],{"className":25465,"style":2209},[2178],[1952,25467],{},[1808,25469,25470,25471,25649],{},"卖家收益：",[1952,25472,25474,25519],{"className":25473},[1955],[1952,25475,25477],{"className":25476},[1959],[1961,25478,25479],{"xmlns":1963},[1965,25480,25481,25516],{},[1968,25482,25483,25496,25498,25500,25502,25514],{},[2124,25484,25485,25488],{},[1971,25486,25487],{},"R",[1968,25489,25490,25493],{},[1971,25491,25492],{},"V",[1971,25494,25495],{},"P",[2015,25497,2017],{},[1971,25499,24379],{},[2015,25501,18209],{"stretchy":2302},[2124,25503,25504,25506],{},[1971,25505,2128],{},[1968,25507,25508,25510,25512],{},[2015,25509,2303],{"stretchy":2302},[2019,25511,2021],{},[2015,25513,2312],{"stretchy":2302},[2015,25515,18223],{"stretchy":2302},[1975,25517,25518],{"encoding":1977},"R_{VP} = E[\\theta_{(1)}]",[1952,25520,25522,25585],{"className":25521,"ariaHidden":1982},[1981],[1952,25523,25525,25528,25576,25579,25582],{"className":25524},[1986],[1952,25526],{"className":25527,"style":2227},[1990],[1952,25529,25531,25535],{"className":25530},[1995],[1952,25532,25487],{"className":25533,"style":25534},[1995,1996],"margin-right:0.0077em;",[1952,25536,25538],{"className":25537},[2165],[1952,25539,25541,25568],{"className":25540},[2169,2170],[1952,25542,25544,25565],{"className":25543},[2174],[1952,25545,25547],{"className":25546,"style":2623},[2178],[1952,25548,25550,25553],{"style":25549},"top:-2.55em;margin-left:-0.0077em;margin-right:0.05em;",[1952,25551],{"className":25552,"style":2187},[2186],[1952,25554,25556],{"className":25555},[2191,2192,2193,2194],[1952,25557,25559,25562],{"className":25558},[1995,2194],[1952,25560,25492],{"className":25561,"style":8948},[1995,1996,2194],[1952,25563,25495],{"className":25564,"style":2387},[1995,1996,2194],[1952,25566,2202],{"className":25567},[2201],[1952,25569,25571],{"className":25570},[2174],[1952,25572,25574],{"className":25573,"style":2209},[2178],[1952,25575],{},[1952,25577],{"className":25578,"style":2057},[2056],[1952,25580,2017],{"className":25581},[2061],[1952,25583],{"className":25584,"style":2057},[2056],[1952,25586,25588,25591,25594,25597,25646],{"className":25587},[1986],[1952,25589],{"className":25590,"style":24847},[1990],[1952,25592,24379],{"className":25593,"style":24851},[1995,1996],[1952,25595,18209],{"className":25596},[2426],[1952,25598,25600,25603],{"className":25599},[1995],[1952,25601,2128],{"className":25602,"style":2161},[1995,1996],[1952,25604,25606],{"className":25605},[2165],[1952,25607,25609,25638],{"className":25608},[2169,2170],[1952,25610,25612,25635],{"className":25611},[2174],[1952,25613,25615],{"className":25614,"style":24873},[2178],[1952,25616,25617,25620],{"style":24876},[1952,25618],{"className":25619,"style":2187},[2186],[1952,25621,25623],{"className":25622},[2191,2192,2193,2194],[1952,25624,25626,25629,25632],{"className":25625},[1995,2194],[1952,25627,2303],{"className":25628},[2426,2194],[1952,25630,2021],{"className":25631},[1995,2194],[1952,25633,2312],{"className":25634},[2470,2194],[1952,25636,2202],{"className":25637},[2201],[1952,25639,25641],{"className":25640},[2174],[1952,25642,25644],{"className":25643,"style":24910},[2178],[1952,25645],{},[1952,25647,18223],{"className":25648},[2470],"（第二高估值）",[1798,25651,25652,25653,25710],{},"对于 ",[1952,25654,25656,25680],{"className":25655},[1955],[1952,25657,25659],{"className":25658},[1959],[1961,25660,25661],{"xmlns":1963},[1965,25662,25663,25677],{},[1968,25664,25665,25667,25669,25671,25673,25675],{},[1971,25666,13221],{},[2015,25668,18209],{"stretchy":2302},[2019,25670,9173],{},[2015,25672,2024],{"separator":1982},[2019,25674,2021],{},[2015,25676,18223],{"stretchy":2302},[1975,25678,25679],{"encoding":1977},"U[0,1]",[1952,25681,25683],{"className":25682,"ariaHidden":1982},[1981],[1952,25684,25686,25689,25692,25695,25698,25701,25704,25707],{"className":25685},[1986],[1952,25687],{"className":25688,"style":2380},[1990],[1952,25690,13221],{"className":25691,"style":1997},[1995,1996],[1952,25693,18209],{"className":25694},[2426],[1952,25696,9173],{"className":25697},[1995],[1952,25699,2024],{"className":25700},[2078],[1952,25702],{"className":25703,"style":2082},[2056],[1952,25705,2021],{"className":25706},[1995],[1952,25708,18223],{"className":25709},[2470],"，第二高估值的分布：",[1952,25712,25714],{"className":25713},[3565],[1952,25715,25717,25777],{"className":25716},[1955],[1952,25718,25720],{"className":25719},[1959],[1961,25721,25722],{"xmlns":1963,"display":3574},[1965,25723,25724,25774],{},[1968,25725,25726,25742,25744,25746,25748,25750,25752,25754,25756,25759,25762,25764,25766,25768],{},[2124,25727,25728,25730],{},[1971,25729,2297],{},[2124,25731,25732,25734],{},[1971,25733,2128],{},[1968,25735,25736,25738,25740],{},[2015,25737,2303],{"stretchy":2302},[2019,25739,2021],{},[2015,25741,2312],{"stretchy":2302},[2015,25743,2303],{"stretchy":2302},[1971,25745,2834],{},[2015,25747,2312],{"stretchy":2302},[2015,25749,2017],{},[1971,25751,18739],{},[2015,25753,7803],{},[2015,25755,2303],{"stretchy":2302},[7807,25757,25758],{},"both",[2015,25760,25761],{},"≤",[1971,25763,2834],{},[2015,25765,2312],{"stretchy":2302},[2015,25767,2017],{},[5424,25769,25770,25772],{},[1971,25771,2834],{},[2019,25773,2027],{},[1975,25775,25776],{"encoding":1977},"F_{\\theta_{(1)}}(x) = \\Pr(\\text{both} \\leq x) = x^2",[1952,25778,25780,25898,25925,25946],{"className":25779,"ariaHidden":1982},[1981],[1952,25781,25783,25787,25880,25883,25886,25889,25892,25895],{"className":25782},[1986],[1952,25784],{"className":25785,"style":25786},[1990],"height:1.1586em;vertical-align:-0.4086em;",[1952,25788,25790,25793],{"className":25789},[1995],[1952,25791,2297],{"className":25792,"style":2387},[1995,1996],[1952,25794,25796],{"className":25795},[2165],[1952,25797,25799,25871],{"className":25798},[2169,2170],[1952,25800,25802,25868],{"className":25801},[2174],[1952,25803,25805],{"className":25804,"style":8522},[2178],[1952,25806,25807,25810],{"style":2402},[1952,25808],{"className":25809,"style":2187},[2186],[1952,25811,25813],{"className":25812},[2191,2192,2193,2194],[1952,25814,25816],{"className":25815},[1995,2194],[1952,25817,25819,25822],{"className":25818},[1995,2194],[1952,25820,2128],{"className":25821,"style":2161},[1995,1996,2194],[1952,25823,25825],{"className":25824},[2165],[1952,25826,25828,25859],{"className":25827},[2169,2170],[1952,25829,25831,25856],{"className":25830},[2174],[1952,25832,25834],{"className":25833,"style":24873},[2178],[1952,25835,25837,25841],{"style":25836},"top:-2.3448em;margin-left:-0.0278em;margin-right:0.0714em;",[1952,25838],{"className":25839,"style":25840},[2186],"height:2.5357em;",[1952,25842,25844],{"className":25843},[2191,22855,22856,2194],[1952,25845,25847,25850,25853],{"className":25846},[1995,2194],[1952,25848,2303],{"className":25849},[2426,2194],[1952,25851,2021],{"className":25852},[1995,2194],[1952,25854,2312],{"className":25855},[2470,2194],[1952,25857,2202],{"className":25858},[2201],[1952,25860,25862],{"className":25861},[2174],[1952,25863,25866],{"className":25864,"style":25865},[2178],"height:0.3695em;",[1952,25867],{},[1952,25869,2202],{"className":25870},[2201],[1952,25872,25874],{"className":25873},[2174],[1952,25875,25878],{"className":25876,"style":25877},[2178],"height:0.4086em;",[1952,25879],{},[1952,25881,2303],{"className":25882},[2426],[1952,25884,2834],{"className":25885},[1995,1996],[1952,25887,2312],{"className":25888},[2470],[1952,25890],{"className":25891,"style":2057},[2056],[1952,25893,2017],{"className":25894},[2061],[1952,25896],{"className":25897,"style":2057},[2056],[1952,25899,25901,25904,25907,25910,25916,25919,25922],{"className":25900},[1986],[1952,25902],{"className":25903,"style":2380},[1990],[1952,25905,18739],{"className":25906},[7832],[1952,25908,2303],{"className":25909},[2426],[1952,25911,25913],{"className":25912},[1995,7886],[1952,25914,25758],{"className":25915},[1995],[1952,25917],{"className":25918,"style":2057},[2056],[1952,25920,25761],{"className":25921},[2061],[1952,25923],{"className":25924,"style":2057},[2056],[1952,25926,25928,25931,25934,25937,25940,25943],{"className":25927},[1986],[1952,25929],{"className":25930,"style":2380},[1990],[1952,25932,2834],{"className":25933},[1995,1996],[1952,25935,2312],{"className":25936},[2470],[1952,25938],{"className":25939,"style":2057},[2056],[1952,25941,2017],{"className":25942},[2061],[1952,25944],{"className":25945,"style":2057},[2056],[1952,25947,25949,25952],{"className":25948},[1986],[1952,25950],{"className":25951,"style":19812},[1990],[1952,25953,25955,25958],{"className":25954},[1995],[1952,25956,2834],{"className":25957},[1995,1996],[1952,25959,25961],{"className":25960},[2165],[1952,25962,25964],{"className":25963},[2169],[1952,25965,25967],{"className":25966},[2174],[1952,25968,25970],{"className":25969,"style":19812},[2178],[1952,25971,25972,25975],{"style":6270},[1952,25973],{"className":25974,"style":2187},[2186],[1952,25976,25978],{"className":25977},[2191,2192,2193,2194],[1952,25979,2027],{"className":25980},[1995,2194],[1952,25982,25984],{"className":25983},[3565],[1952,25985,25987,26048],{"className":25986},[1955],[1952,25988,25990],{"className":25989},[1959],[1961,25991,25992],{"xmlns":1963,"display":3574},[1965,25993,25994,26045],{},[1968,25995,25996,25998,26000,26012,26014,26016,26024,26026,26028,26030,26032,26034,26036,26038],{},[1971,25997,24379],{},[2015,25999,18209],{"stretchy":2302},[2124,26001,26002,26004],{},[1971,26003,2128],{},[1968,26005,26006,26008,26010],{},[2015,26007,2303],{"stretchy":2302},[2019,26009,2021],{},[2015,26011,2312],{"stretchy":2302},[2015,26013,18223],{"stretchy":2302},[2015,26015,2017],{},[6085,26017,26018,26020,26022],{},[2015,26019,23860],{},[2019,26021,9173],{},[2019,26023,2021],{},[1971,26025,2834],{},[2015,26027,19028],{},[2019,26029,2027],{},[1971,26031,2834],{},[1971,26033,22730],{},[1971,26035,2834],{},[2015,26037,2017],{},[20202,26039,26040,26042],{},[2019,26041,2027],{},[2019,26043,26044],{},"3",[1975,26046,26047],{"encoding":1977},"E[\\theta_{(1)}] = \\int_0^1 x \\cdot 2x dx = \\frac{2}{3}",[1952,26049,26051,26124,26198,26225],{"className":26050,"ariaHidden":1982},[1981],[1952,26052,26054,26057,26060,26063,26112,26115,26118,26121],{"className":26053},[1986],[1952,26055],{"className":26056,"style":24847},[1990],[1952,26058,24379],{"className":26059,"style":24851},[1995,1996],[1952,26061,18209],{"className":26062},[2426],[1952,26064,26066,26069],{"className":26065},[1995],[1952,26067,2128],{"className":26068,"style":2161},[1995,1996],[1952,26070,26072],{"className":26071},[2165],[1952,26073,26075,26104],{"className":26074},[2169,2170],[1952,26076,26078,26101],{"className":26077},[2174],[1952,26079,26081],{"className":26080,"style":24873},[2178],[1952,26082,26083,26086],{"style":24876},[1952,26084],{"className":26085,"style":2187},[2186],[1952,26087,26089],{"className":26088},[2191,2192,2193,2194],[1952,26090,26092,26095,26098],{"className":26091},[1995,2194],[1952,26093,2303],{"className":26094},[2426,2194],[1952,26096,2021],{"className":26097},[1995,2194],[1952,26099,2312],{"className":26100},[2470,2194],[1952,26102,2202],{"className":26103},[2201],[1952,26105,26107],{"className":26106},[2174],[1952,26108,26110],{"className":26109,"style":24910},[2178],[1952,26111],{},[1952,26113,18223],{"className":26114},[2470],[1952,26116],{"className":26117,"style":2057},[2056],[1952,26119,2017],{"className":26120},[2061],[1952,26122],{"className":26123,"style":2057},[2056],[1952,26125,26127,26131,26183,26186,26189,26192,26195],{"className":26126},[1986],[1952,26128],{"className":26129,"style":26130},[1990],"height:2.476em;vertical-align:-0.9119em;",[1952,26132,26134,26137],{"className":26133},[7832],[1952,26135,23860],{"className":26136,"style":24079},[7832,11942,11943],[1952,26138,26140],{"className":26139},[2165],[1952,26141,26143,26175],{"className":26142},[2169,2170],[1952,26144,26146,26172],{"className":26145},[2174],[1952,26147,26150,26161],{"className":26148,"style":26149},[2178],"height:1.564em;",[1952,26151,26152,26155],{"style":24095},[1952,26153],{"className":26154,"style":2187},[2186],[1952,26156,26158],{"className":26157},[2191,2192,2193,2194],[1952,26159,9173],{"className":26160},[1995,2194],[1952,26162,26163,26166],{"style":24107},[1952,26164],{"className":26165,"style":2187},[2186],[1952,26167,26169],{"className":26168},[2191,2192,2193,2194],[1952,26170,2021],{"className":26171},[1995,2194],[1952,26173,2202],{"className":26174},[2201],[1952,26176,26178],{"className":26177},[2174],[1952,26179,26181],{"className":26180,"style":24166},[2178],[1952,26182],{},[1952,26184],{"className":26185,"style":2082},[2056],[1952,26187,2834],{"className":26188},[1995,1996],[1952,26190],{"className":26191,"style":8948},[2056],[1952,26193,19028],{"className":26194},[5482],[1952,26196],{"className":26197,"style":8948},[2056],[1952,26199,26201,26204,26207,26210,26213,26216,26219,26222],{"className":26200},[1986],[1952,26202],{"className":26203,"style":2524},[1990],[1952,26205,2027],{"className":26206},[1995],[1952,26208,2834],{"className":26209},[1995,1996],[1952,26211,22730],{"className":26212},[1995,1996],[1952,26214,2834],{"className":26215},[1995,1996],[1952,26217],{"className":26218,"style":2057},[2056],[1952,26220,2017],{"className":26221},[2061],[1952,26223],{"className":26224,"style":2057},[2056],[1952,26226,26228,26232],{"className":26227},[1986],[1952,26229],{"className":26230,"style":26231},[1990],"height:2.0074em;vertical-align:-0.686em;",[1952,26233,26235,26238,26292],{"className":26234},[1995],[1952,26236],{"className":26237},[2426,20422],[1952,26239,26241],{"className":26240},[20202],[1952,26242,26244,26283],{"className":26243},[2169,2170],[1952,26245,26247,26280],{"className":26246},[2174],[1952,26248,26250,26261,26269],{"className":26249,"style":20843},[2178],[1952,26251,26252,26255],{"style":20438},[1952,26253],{"className":26254,"style":3164},[2186],[1952,26256,26258],{"className":26257},[1995],[1952,26259,26044],{"className":26260},[1995],[1952,26262,26263,26266],{"style":20491},[1952,26264],{"className":26265,"style":3164},[2186],[1952,26267],{"className":26268,"style":20499},[20498],[1952,26270,26271,26274],{"style":20502},[1952,26272],{"className":26273,"style":3164},[2186],[1952,26275,26277],{"className":26276},[1995],[1952,26278,2027],{"className":26279},[1995],[1952,26281,2202],{"className":26282},[2201],[1952,26284,26286],{"className":26285},[2174],[1952,26287,26290],{"className":26288,"style":26289},[2178],"height:0.686em;",[1952,26291],{},[1952,26293],{"className":26294},[2470,20422],[1798,26296,26297,26300,26301,1946],{},[1850,26298,26299],{},"一级价格拍卖","：\n使用公式，",[1952,26302,26304,26328],{"className":26303},[1955],[1952,26305,26307],{"className":26306},[1959],[1961,26308,26309],{"xmlns":1963},[1965,26310,26311,26325],{},[1968,26312,26313,26315,26317,26319,26321,26323],{},[1971,26314,2297],{},[2015,26316,2303],{"stretchy":2302},[1971,26318,2128],{},[2015,26320,2312],{"stretchy":2302},[2015,26322,2017],{},[1971,26324,2128],{},[1975,26326,26327],{"encoding":1977},"F(\\theta) = \\theta",[1952,26329,26331,26358],{"className":26330,"ariaHidden":1982},[1981],[1952,26332,26334,26337,26340,26343,26346,26349,26352,26355],{"className":26333},[1986],[1952,26335],{"className":26336,"style":2380},[1990],[1952,26338,2297],{"className":26339,"style":2387},[1995,1996],[1952,26341,2303],{"className":26342},[2426],[1952,26344,2128],{"className":26345,"style":2161},[1995,1996],[1952,26347,2312],{"className":26348},[2470],[1952,26350],{"className":26351,"style":2057},[2056],[1952,26353,2017],{"className":26354},[2061],[1952,26356],{"className":26357,"style":2057},[2056],[1952,26359,26361,26364],{"className":26360},[1986],[1952,26362],{"className":26363,"style":2524},[1990],[1952,26365,2128],{"className":26366,"style":2161},[1995,1996],[1952,26368,26370],{"className":26369},[3565],[1952,26371,26373,26469],{"className":26372},[1955],[1952,26374,26376],{"className":26375},[1959],[1961,26377,26378],{"xmlns":1963,"display":3574},[1965,26379,26380,26466],{},[1968,26381,26382,26384,26386,26392,26394,26396,26406,26418,26420,26422,26424,26426,26428,26430,26440,26442,26454,26456],{},[1971,26383,3489],{},[2015,26385,2303],{"stretchy":2302},[2124,26387,26388,26390],{},[1971,26389,2128],{},[1971,26391,2013],{},[2015,26393,2312],{"stretchy":2302},[2015,26395,2017],{},[20202,26397,26398,26400],{},[2019,26399,2021],{},[2124,26401,26402,26404],{},[1971,26403,2128],{},[1971,26405,2013],{},[6085,26407,26408,26410,26412],{},[2015,26409,23860],{},[2019,26411,9173],{},[2124,26413,26414,26416],{},[1971,26415,2128],{},[1971,26417,2013],{},[1971,26419,23881],{},[2015,26421,19028],{},[2019,26423,2021],{},[1971,26425,22730],{},[1971,26427,23881],{},[2015,26429,2017],{},[20202,26431,26432,26434],{},[2019,26433,2021],{},[2124,26435,26436,26438],{},[1971,26437,2128],{},[1971,26439,2013],{},[2015,26441,19028],{},[20202,26443,26444,26452],{},[6085,26445,26446,26448,26450],{},[1971,26447,2128],{},[1971,26449,2013],{},[2019,26451,2027],{},[2019,26453,2027],{},[2015,26455,2017],{},[20202,26457,26458,26464],{},[2124,26459,26460,26462],{},[1971,26461,2128],{},[1971,26463,2013],{},[2019,26465,2027],{},[1975,26467,26468],{"encoding":1977},"b(\\theta_i) = \\frac{1}{\\theta_i} \\int_0^{\\theta_i} s \\cdot 1 ds = \\frac{1}{\\theta_i} \\cdot \\frac{\\theta_i^2}{2} = \\frac{\\theta_i}{2}",[1952,26470,26472,26536,26750,26774,26889,27017],{"className":26471,"ariaHidden":1982},[1981],[1952,26473,26475,26478,26481,26484,26524,26527,26530,26533],{"className":26474},[1986],[1952,26476],{"className":26477,"style":2380},[1990],[1952,26479,3489],{"className":26480},[1995,1996],[1952,26482,2303],{"className":26483},[2426],[1952,26485,26487,26490],{"className":26486},[1995],[1952,26488,2128],{"className":26489,"style":2161},[1995,1996],[1952,26491,26493],{"className":26492},[2165],[1952,26494,26496,26516],{"className":26495},[2169,2170],[1952,26497,26499,26513],{"className":26498},[2174],[1952,26500,26502],{"className":26501,"style":2179},[2178],[1952,26503,26504,26507],{"style":2182},[1952,26505],{"className":26506,"style":2187},[2186],[1952,26508,26510],{"className":26509},[2191,2192,2193,2194],[1952,26511,2013],{"className":26512},[1995,1996,2194],[1952,26514,2202],{"className":26515},[2201],[1952,26517,26519],{"className":26518},[2174],[1952,26520,26522],{"className":26521,"style":2209},[2178],[1952,26523],{},[1952,26525,2312],{"className":26526},[2470],[1952,26528],{"className":26529,"style":2057},[2056],[1952,26531,2017],{"className":26532},[2061],[1952,26534],{"className":26535,"style":2057},[2056],[1952,26537,26539,26542,26641,26644,26735,26738,26741,26744,26747],{"className":26538},[1986],[1952,26540],{"className":26541,"style":24072},[1990],[1952,26543,26545,26548,26638],{"className":26544},[1995],[1952,26546],{"className":26547},[2426,20422],[1952,26549,26551],{"className":26550},[20202],[1952,26552,26554,26630],{"className":26553},[2169,2170],[1952,26555,26557,26627],{"className":26556},[2174],[1952,26558,26560,26608,26616],{"className":26559,"style":20843},[2178],[1952,26561,26562,26565],{"style":20438},[1952,26563],{"className":26564,"style":3164},[2186],[1952,26566,26568],{"className":26567},[1995],[1952,26569,26571,26574],{"className":26570},[1995],[1952,26572,2128],{"className":26573,"style":2161},[1995,1996],[1952,26575,26577],{"className":26576},[2165],[1952,26578,26580,26600],{"className":26579},[2169,2170],[1952,26581,26583,26597],{"className":26582},[2174],[1952,26584,26586],{"className":26585,"style":2179},[2178],[1952,26587,26588,26591],{"style":2182},[1952,26589],{"className":26590,"style":2187},[2186],[1952,26592,26594],{"className":26593},[2191,2192,2193,2194],[1952,26595,2013],{"className":26596},[1995,1996,2194],[1952,26598,2202],{"className":26599},[2201],[1952,26601,26603],{"className":26602},[2174],[1952,26604,26606],{"className":26605,"style":2209},[2178],[1952,26607],{},[1952,26609,26610,26613],{"style":20491},[1952,26611],{"className":26612,"style":3164},[2186],[1952,26614],{"className":26615,"style":20499},[20498],[1952,26617,26618,26621],{"style":20502},[1952,26619],{"className":26620,"style":3164},[2186],[1952,26622,26624],{"className":26623},[1995],[1952,26625,2021],{"className":26626},[1995],[1952,26628,2202],{"className":26629},[2201],[1952,26631,26633],{"className":26632},[2174],[1952,26634,26636],{"className":26635,"style":20561},[2178],[1952,26637],{},[1952,26639],{"className":26640},[2470,20422],[1952,26642],{"className":26643,"style":2082},[2056],[1952,26645,26647,26650],{"className":26646},[7832],[1952,26648,23860],{"className":26649,"style":24079},[7832,11942,11943],[1952,26651,26653],{"className":26652},[2165],[1952,26654,26656,26727],{"className":26655},[2169,2170],[1952,26657,26659,26724],{"className":26658},[2174],[1952,26660,26662,26673],{"className":26661,"style":24092},[2178],[1952,26663,26664,26667],{"style":24095},[1952,26665],{"className":26666,"style":2187},[2186],[1952,26668,26670],{"className":26669},[2191,2192,2193,2194],[1952,26671,9173],{"className":26672},[1995,2194],[1952,26674,26675,26678],{"style":24107},[1952,26676],{"className":26677,"style":2187},[2186],[1952,26679,26681],{"className":26680},[2191,2192,2193,2194],[1952,26682,26684],{"className":26683},[1995,2194],[1952,26685,26687,26690],{"className":26686},[1995,2194],[1952,26688,2128],{"className":26689,"style":2161},[1995,1996,2194],[1952,26691,26693],{"className":26692},[2165],[1952,26694,26696,26716],{"className":26695},[2169,2170],[1952,26697,26699,26713],{"className":26698},[2174],[1952,26700,26702],{"className":26701,"style":22844},[2178],[1952,26703,26704,26707],{"style":22847},[1952,26705],{"className":26706,"style":22851},[2186],[1952,26708,26710],{"className":26709},[2191,22855,22856,2194],[1952,26711,2013],{"className":26712},[1995,1996,2194],[1952,26714,2202],{"className":26715},[2201],[1952,26717,26719],{"className":26718},[2174],[1952,26720,26722],{"className":26721,"style":22869},[2178],[1952,26723],{},[1952,26725,2202],{"className":26726},[2201],[1952,26728,26730],{"className":26729},[2174],[1952,26731,26733],{"className":26732,"style":24166},[2178],[1952,26734],{},[1952,26736],{"className":26737,"style":2082},[2056],[1952,26739,23881],{"className":26740},[1995,1996],[1952,26742],{"className":26743,"style":8948},[2056],[1952,26745,19028],{"className":26746},[5482],[1952,26748],{"className":26749,"style":8948},[2056],[1952,26751,26753,26756,26759,26762,26765,26768,26771],{"className":26752},[1986],[1952,26754],{"className":26755,"style":2524},[1990],[1952,26757,2021],{"className":26758},[1995],[1952,26760,22730],{"className":26761},[1995,1996],[1952,26763,23881],{"className":26764},[1995,1996],[1952,26766],{"className":26767,"style":2057},[2056],[1952,26769,2017],{"className":26770},[2061],[1952,26772],{"className":26773,"style":2057},[2056],[1952,26775,26777,26781,26880,26883,26886],{"className":26776},[1986],[1952,26778],{"className":26779,"style":26780},[1990],"height:2.1574em;vertical-align:-0.836em;",[1952,26782,26784,26787,26877],{"className":26783},[1995],[1952,26785],{"className":26786},[2426,20422],[1952,26788,26790],{"className":26789},[20202],[1952,26791,26793,26869],{"className":26792},[2169,2170],[1952,26794,26796,26866],{"className":26795},[2174],[1952,26797,26799,26847,26855],{"className":26798,"style":20843},[2178],[1952,26800,26801,26804],{"style":20438},[1952,26802],{"className":26803,"style":3164},[2186],[1952,26805,26807],{"className":26806},[1995],[1952,26808,26810,26813],{"className":26809},[1995],[1952,26811,2128],{"className":26812,"style":2161},[1995,1996],[1952,26814,26816],{"className":26815},[2165],[1952,26817,26819,26839],{"className":26818},[2169,2170],[1952,26820,26822,26836],{"className":26821},[2174],[1952,26823,26825],{"className":26824,"style":2179},[2178],[1952,26826,26827,26830],{"style":2182},[1952,26828],{"className":26829,"style":2187},[2186],[1952,26831,26833],{"className":26832},[2191,2192,2193,2194],[1952,26834,2013],{"className":26835},[1995,1996,2194],[1952,26837,2202],{"className":26838},[2201],[1952,26840,26842],{"className":26841},[2174],[1952,26843,26845],{"className":26844,"style":2209},[2178],[1952,26846],{},[1952,26848,26849,26852],{"style":20491},[1952,26850],{"className":26851,"style":3164},[2186],[1952,26853],{"className":26854,"style":20499},[20498],[1952,26856,26857,26860],{"style":20502},[1952,26858],{"className":26859,"style":3164},[2186],[1952,26861,26863],{"className":26862},[1995],[1952,26864,2021],{"className":26865},[1995],[1952,26867,2202],{"className":26868},[2201],[1952,26870,26872],{"className":26871},[2174],[1952,26873,26875],{"className":26874,"style":20561},[2178],[1952,26876],{},[1952,26878],{"className":26879},[2470,20422],[1952,26881],{"className":26882,"style":8948},[2056],[1952,26884,19028],{"className":26885},[5482],[1952,26887],{"className":26888,"style":8948},[2056],[1952,26890,26892,26896,27008,27011,27014],{"className":26891},[1986],[1952,26893],{"className":26894,"style":26895},[1990],"height:2.1771em;vertical-align:-0.686em;",[1952,26897,26899,26902,27005],{"className":26898},[1995],[1952,26900],{"className":26901},[2426,20422],[1952,26903,26905],{"className":26904},[20202],[1952,26906,26908,26997],{"className":26907},[2169,2170],[1952,26909,26911,26994],{"className":26910},[2174],[1952,26912,26915,26926,26934],{"className":26913,"style":26914},[2178],"height:1.4911em;",[1952,26916,26917,26920],{"style":20438},[1952,26918],{"className":26919,"style":3164},[2186],[1952,26921,26923],{"className":26922},[1995],[1952,26924,2027],{"className":26925},[1995],[1952,26927,26928,26931],{"style":20491},[1952,26929],{"className":26930,"style":3164},[2186],[1952,26932],{"className":26933,"style":20499},[20498],[1952,26935,26936,26939],{"style":20502},[1952,26937],{"className":26938,"style":3164},[2186],[1952,26940,26942],{"className":26941},[1995],[1952,26943,26945,26948],{"className":26944},[1995],[1952,26946,2128],{"className":26947,"style":2161},[1995,1996],[1952,26949,26951],{"className":26950},[2165],[1952,26952,26954,26986],{"className":26953},[2169,2170],[1952,26955,26957,26983],{"className":26956},[2174],[1952,26958,26960,26972],{"className":26959,"style":19248},[2178],[1952,26961,26963,26966],{"style":26962},"top:-2.4413em;margin-left:-0.0278em;margin-right:0.05em;",[1952,26964],{"className":26965,"style":2187},[2186],[1952,26967,26969],{"className":26968},[2191,2192,2193,2194],[1952,26970,2013],{"className":26971},[1995,1996,2194],[1952,26973,26974,26977],{"style":5472},[1952,26975],{"className":26976,"style":2187},[2186],[1952,26978,26980],{"className":26979},[2191,2192,2193,2194],[1952,26981,2027],{"className":26982},[1995,2194],[1952,26984,2202],{"className":26985},[2201],[1952,26987,26989],{"className":26988},[2174],[1952,26990,26992],{"className":26991,"style":6867},[2178],[1952,26993],{},[1952,26995,2202],{"className":26996},[2201],[1952,26998,27000],{"className":26999},[2174],[1952,27001,27003],{"className":27002,"style":26289},[2178],[1952,27004],{},[1952,27006],{"className":27007},[2470,20422],[1952,27009],{"className":27010,"style":2057},[2056],[1952,27012,2017],{"className":27013},[2061],[1952,27015],{"className":27016,"style":2057},[2056],[1952,27018,27020,27024],{"className":27019},[1986],[1952,27021],{"className":27022,"style":27023},[1990],"height:2.0574em;vertical-align:-0.686em;",[1952,27025,27027,27030,27120],{"className":27026},[1995],[1952,27028],{"className":27029},[2426,20422],[1952,27031,27033],{"className":27032},[20202],[1952,27034,27036,27112],{"className":27035},[2169,2170],[1952,27037,27039,27109],{"className":27038},[2174],[1952,27040,27042,27053,27061],{"className":27041,"style":20435},[2178],[1952,27043,27044,27047],{"style":20438},[1952,27045],{"className":27046,"style":3164},[2186],[1952,27048,27050],{"className":27049},[1995],[1952,27051,2027],{"className":27052},[1995],[1952,27054,27055,27058],{"style":20491},[1952,27056],{"className":27057,"style":3164},[2186],[1952,27059],{"className":27060,"style":20499},[20498],[1952,27062,27063,27066],{"style":20502},[1952,27064],{"className":27065,"style":3164},[2186],[1952,27067,27069],{"className":27068},[1995],[1952,27070,27072,27075],{"className":27071},[1995],[1952,27073,2128],{"className":27074,"style":2161},[1995,1996],[1952,27076,27078],{"className":27077},[2165],[1952,27079,27081,27101],{"className":27080},[2169,2170],[1952,27082,27084,27098],{"className":27083},[2174],[1952,27085,27087],{"className":27086,"style":2179},[2178],[1952,27088,27089,27092],{"style":2182},[1952,27090],{"className":27091,"style":2187},[2186],[1952,27093,27095],{"className":27094},[2191,2192,2193,2194],[1952,27096,2013],{"className":27097},[1995,1996,2194],[1952,27099,2202],{"className":27100},[2201],[1952,27102,27104],{"className":27103},[2174],[1952,27105,27107],{"className":27106,"style":2209},[2178],[1952,27108],{},[1952,27110,2202],{"className":27111},[2201],[1952,27113,27115],{"className":27114},[2174],[1952,27116,27118],{"className":27117,"style":26289},[2178],[1952,27119],{},[1952,27121],{"className":27122},[2470,20422],[1798,27124,25470],{},[1952,27126,27128],{"className":27127},[3565],[1952,27129,27131,27231],{"className":27130},[1955],[1952,27132,27134],{"className":27133},[1959],[1961,27135,27136],{"xmlns":1963,"display":3574},[1965,27137,27138,27228],{},[1968,27139,27140,27150,27152,27154,27156,27158,27160,27172,27174,27176,27178,27180,27202,27204,27210,27212,27214,27226],{},[2124,27141,27142,27144],{},[1971,27143,25487],{},[1968,27145,27146,27148],{},[1971,27147,2297],{},[1971,27149,25495],{},[2015,27151,2017],{},[1971,27153,24379],{},[2015,27155,18209],{"stretchy":2302},[1971,27157,3489],{},[2015,27159,2303],{"stretchy":2302},[2124,27161,27162,27164],{},[1971,27163,2128],{},[1968,27165,27166,27168,27170],{},[2015,27167,2303],{"stretchy":2302},[2019,27169,2027],{},[2015,27171,2312],{"stretchy":2302},[2015,27173,2312],{"stretchy":2302},[2015,27175,18223],{"stretchy":2302},[2015,27177,2017],{},[1971,27179,24379],{},[1968,27181,27182,27184,27200],{},[2015,27183,18209],{"fence":1982},[20202,27185,27186,27198],{},[2124,27187,27188,27190],{},[1971,27189,2128],{},[1968,27191,27192,27194,27196],{},[2015,27193,2303],{"stretchy":2302},[2019,27195,2027],{},[2015,27197,2312],{"stretchy":2302},[2019,27199,2027],{},[2015,27201,18223],{"fence":1982},[2015,27203,2017],{},[20202,27205,27206,27208],{},[2019,27207,2021],{},[2019,27209,2027],{},[1971,27211,24379],{},[2015,27213,18209],{"stretchy":2302},[2124,27215,27216,27218],{},[1971,27217,2128],{},[1968,27219,27220,27222,27224],{},[2015,27221,2303],{"stretchy":2302},[2019,27223,2027],{},[2015,27225,2312],{"stretchy":2302},[2015,27227,18223],{"stretchy":2302},[1975,27229,27230],{"encoding":1977},"R_{FP} = E[b(\\theta_{(2)})] = E\\left[\\frac{\\theta_{(2)}}{2}\\right] = \\frac{1}{2} E[\\theta_{(2)}]",[1952,27232,27234,27295,27375,27525],{"className":27233,"ariaHidden":1982},[1981],[1952,27235,27237,27240,27286,27289,27292],{"className":27236},[1986],[1952,27238],{"className":27239,"style":2227},[1990],[1952,27241,27243,27246],{"className":27242},[1995],[1952,27244,25487],{"className":27245,"style":25534},[1995,1996],[1952,27247,27249],{"className":27248},[2165],[1952,27250,27252,27278],{"className":27251},[2169,2170],[1952,27253,27255,27275],{"className":27254},[2174],[1952,27256,27258],{"className":27257,"style":2623},[2178],[1952,27259,27260,27263],{"style":25549},[1952,27261],{"className":27262,"style":2187},[2186],[1952,27264,27266],{"className":27265},[2191,2192,2193,2194],[1952,27267,27269,27272],{"className":27268},[1995,2194],[1952,27270,2297],{"className":27271,"style":2387},[1995,1996,2194],[1952,27273,25495],{"className":27274,"style":2387},[1995,1996,2194],[1952,27276,2202],{"className":27277},[2201],[1952,27279,27281],{"className":27280},[2174],[1952,27282,27284],{"className":27283,"style":2209},[2178],[1952,27285],{},[1952,27287],{"className":27288,"style":2057},[2056],[1952,27290,2017],{"className":27291},[2061],[1952,27293],{"className":27294,"style":2057},[2056],[1952,27296,27298,27301,27304,27307,27310,27313,27362,27366,27369,27372],{"className":27297},[1986],[1952,27299],{"className":27300,"style":24847},[1990],[1952,27302,24379],{"className":27303,"style":24851},[1995,1996],[1952,27305,18209],{"className":27306},[2426],[1952,27308,3489],{"className":27309},[1995,1996],[1952,27311,2303],{"className":27312},[2426],[1952,27314,27316,27319],{"className":27315},[1995],[1952,27317,2128],{"className":27318,"style":2161},[1995,1996],[1952,27320,27322],{"className":27321},[2165],[1952,27323,27325,27354],{"className":27324},[2169,2170],[1952,27326,27328,27351],{"className":27327},[2174],[1952,27329,27331],{"className":27330,"style":24873},[2178],[1952,27332,27333,27336],{"style":24876},[1952,27334],{"className":27335,"style":2187},[2186],[1952,27337,27339],{"className":27338},[2191,2192,2193,2194],[1952,27340,27342,27345,27348],{"className":27341},[1995,2194],[1952,27343,2303],{"className":27344},[2426,2194],[1952,27346,2027],{"className":27347},[1995,2194],[1952,27349,2312],{"className":27350},[2470,2194],[1952,27352,2202],{"className":27353},[2201],[1952,27355,27357],{"className":27356},[2174],[1952,27358,27360],{"className":27359,"style":24910},[2178],[1952,27361],{},[1952,27363,27365],{"className":27364},[2470],")]",[1952,27367],{"className":27368,"style":2057},[2056],[1952,27370,2017],{"className":27371},[2061],[1952,27373],{"className":27374,"style":2057},[2056],[1952,27376,27378,27382,27385,27388,27516,27519,27522],{"className":27377},[1986],[1952,27379],{"className":27380,"style":27381},[1990],"height:2.4em;vertical-align:-0.95em;",[1952,27383,24379],{"className":27384,"style":24851},[1995,1996],[1952,27386],{"className":27387,"style":2082},[2056],[1952,27389,27391,27400,27510],{"className":27390},[2095],[1952,27392,27396],{"className":27393,"style":27395},[2426,27394],"delimcenter","top:0em;",[1952,27397,18209],{"className":27398},[27399,2193],"delimsizing",[1952,27401,27403,27406,27507],{"className":27402},[1995],[1952,27404],{"className":27405},[2426,20422],[1952,27407,27409],{"className":27408},[20202],[1952,27410,27412,27499],{"className":27411},[2169,2170],[1952,27413,27415,27496],{"className":27414},[2174],[1952,27416,27419,27430,27438],{"className":27417,"style":27418},[2178],"height:1.4396em;",[1952,27420,27421,27424],{"style":20438},[1952,27422],{"className":27423,"style":3164},[2186],[1952,27425,27427],{"className":27426},[1995],[1952,27428,2027],{"className":27429},[1995],[1952,27431,27432,27435],{"style":20491},[1952,27433],{"className":27434,"style":3164},[2186],[1952,27436],{"className":27437,"style":20499},[20498],[1952,27439,27441,27444],{"style":27440},"top:-3.7452em;",[1952,27442],{"className":27443,"style":3164},[2186],[1952,27445,27447],{"className":27446},[1995],[1952,27448,27450,27453],{"className":27449},[1995],[1952,27451,2128],{"className":27452,"style":2161},[1995,1996],[1952,27454,27456],{"className":27455},[2165],[1952,27457,27459,27488],{"className":27458},[2169,2170],[1952,27460,27462,27485],{"className":27461},[2174],[1952,27463,27465],{"className":27464,"style":24873},[2178],[1952,27466,27467,27470],{"style":24876},[1952,27468],{"className":27469,"style":2187},[2186],[1952,27471,27473],{"className":27472},[2191,2192,2193,2194],[1952,27474,27476,27479,27482],{"className":27475},[1995,2194],[1952,27477,2303],{"className":27478},[2426,2194],[1952,27480,2027],{"className":27481},[1995,2194],[1952,27483,2312],{"className":27484},[2470,2194],[1952,27486,2202],{"className":27487},[2201],[1952,27489,27491],{"className":27490},[2174],[1952,27492,27494],{"className":27493,"style":24910},[2178],[1952,27495],{},[1952,27497,2202],{"className":27498},[2201],[1952,27500,27502],{"className":27501},[2174],[1952,27503,27505],{"className":27504,"style":26289},[2178],[1952,27506],{},[1952,27508],{"className":27509},[2470,20422],[1952,27511,27513],{"className":27512,"style":27395},[2470,27394],[1952,27514,18223],{"className":27515},[27399,2193],[1952,27517],{"className":27518,"style":2057},[2056],[1952,27520,2017],{"className":27521},[2061],[1952,27523],{"className":27524,"style":2057},[2056],[1952,27526,27528,27531,27593,27596,27599,27648],{"className":27527},[1986],[1952,27529],{"className":27530,"style":26231},[1990],[1952,27532,27534,27537,27590],{"className":27533},[1995],[1952,27535],{"className":27536},[2426,20422],[1952,27538,27540],{"className":27539},[20202],[1952,27541,27543,27582],{"className":27542},[2169,2170],[1952,27544,27546,27579],{"className":27545},[2174],[1952,27547,27549,27560,27568],{"className":27548,"style":20843},[2178],[1952,27550,27551,27554],{"style":20438},[1952,27552],{"className":27553,"style":3164},[2186],[1952,27555,27557],{"className":27556},[1995],[1952,27558,2027],{"className":27559},[1995],[1952,27561,27562,27565],{"style":20491},[1952,27563],{"className":27564,"style":3164},[2186],[1952,27566],{"className":27567,"style":20499},[20498],[1952,27569,27570,27573],{"style":20502},[1952,27571],{"className":27572,"style":3164},[2186],[1952,27574,27576],{"className":27575},[1995],[1952,27577,2021],{"className":27578},[1995],[1952,27580,2202],{"className":27581},[2201],[1952,27583,27585],{"className":27584},[2174],[1952,27586,27588],{"className":27587,"style":26289},[2178],[1952,27589],{},[1952,27591],{"className":27592},[2470,20422],[1952,27594,24379],{"className":27595,"style":24851},[1995,1996],[1952,27597,18209],{"className":27598},[2426],[1952,27600,27602,27605],{"className":27601},[1995],[1952,27603,2128],{"className":27604,"style":2161},[1995,1996],[1952,27606,27608],{"className":27607},[2165],[1952,27609,27611,27640],{"className":27610},[2169,2170],[1952,27612,27614,27637],{"className":27613},[2174],[1952,27615,27617],{"className":27616,"style":24873},[2178],[1952,27618,27619,27622],{"style":24876},[1952,27620],{"className":27621,"style":2187},[2186],[1952,27623,27625],{"className":27624},[2191,2192,2193,2194],[1952,27626,27628,27631,27634],{"className":27627},[1995,2194],[1952,27629,2303],{"className":27630},[2426,2194],[1952,27632,2027],{"className":27633},[1995,2194],[1952,27635,2312],{"className":27636},[2470,2194],[1952,27638,2202],{"className":27639},[2201],[1952,27641,27643],{"className":27642},[2174],[1952,27644,27646],{"className":27645,"style":24910},[2178],[1952,27647],{},[1952,27649,18223],{"className":27650},[2470],[1798,27652,27653],{},"第一高估值的分布：",[1952,27655,27657],{"className":27656},[3565],[1952,27658,27660,27773],{"className":27659},[1955],[1952,27661,27663],{"className":27662},[1959],[1961,27664,27665],{"xmlns":1963,"display":3574},[1965,27666,27667,27770],{},[1968,27668,27669,27671,27673,27685,27687,27689,27697,27699,27701,27703,27705,27707,27709,27711,27713,27715,27717,27719,27727,27729,27731,27733,27735,27737,27743,27745,27747,27749,27751,27753,27755,27761,27763],{},[1971,27670,24379],{},[2015,27672,18209],{"stretchy":2302},[2124,27674,27675,27677],{},[1971,27676,2128],{},[1968,27678,27679,27681,27683],{},[2015,27680,2303],{"stretchy":2302},[2019,27682,2027],{},[2015,27684,2312],{"stretchy":2302},[2015,27686,18223],{"stretchy":2302},[2015,27688,2017],{},[6085,27690,27691,27693,27695],{},[2015,27692,23860],{},[2019,27694,9173],{},[2019,27696,2021],{},[1971,27698,2834],{},[2015,27700,19028],{},[2019,27702,2027],{},[2015,27704,2303],{"stretchy":2302},[2019,27706,2021],{},[2015,27708,3607],{},[1971,27710,2834],{},[2015,27712,2312],{"stretchy":2302},[1971,27714,22730],{},[1971,27716,2834],{},[2015,27718,2017],{},[6085,27720,27721,27723,27725],{},[2015,27722,23860],{},[2019,27724,9173],{},[2019,27726,2021],{},[2015,27728,2303],{"stretchy":2302},[2019,27730,2027],{},[1971,27732,2834],{},[2015,27734,3607],{},[2019,27736,2027],{},[5424,27738,27739,27741],{},[1971,27740,2834],{},[2019,27742,2027],{},[2015,27744,2312],{"stretchy":2302},[1971,27746,22730],{},[1971,27748,2834],{},[2015,27750,2017],{},[2019,27752,2021],{},[2015,27754,3607],{},[20202,27756,27757,27759],{},[2019,27758,2027],{},[2019,27760,26044],{},[2015,27762,2017],{},[20202,27764,27765,27768],{},[2019,27766,27767],{},"4",[2019,27769,26044],{},[1975,27771,27772],{"encoding":1977},"E[\\theta_{(2)}] = \\int_0^1 x \\cdot 2(1-x) dx = \\int_0^1 (2x - 2x^2) dx = 1 - \\frac{2}{3} = \\frac{4}{3}",[1952,27774,27776,27849,27921,27945,27972,28047,28104,28123,28200],{"className":27775,"ariaHidden":1982},[1981],[1952,27777,27779,27782,27785,27788,27837,27840,27843,27846],{"className":27778},[1986],[1952,27780],{"className":27781,"style":24847},[1990],[1952,27783,24379],{"className":27784,"style":24851},[1995,1996],[1952,27786,18209],{"className":27787},[2426],[1952,27789,27791,27794],{"className":27790},[1995],[1952,27792,2128],{"className":27793,"style":2161},[1995,1996],[1952,27795,27797],{"className":27796},[2165],[1952,27798,27800,27829],{"className":27799},[2169,2170],[1952,27801,27803,27826],{"className":27802},[2174],[1952,27804,27806],{"className":27805,"style":24873},[2178],[1952,27807,27808,27811],{"style":24876},[1952,27809],{"className":27810,"style":2187},[2186],[1952,27812,27814],{"className":27813},[2191,2192,2193,2194],[1952,27815,27817,27820,27823],{"className":27816},[1995,2194],[1952,27818,2303],{"className":27819},[2426,2194],[1952,27821,2027],{"className":27822},[1995,2194],[1952,27824,2312],{"className":27825},[2470,2194],[1952,27827,2202],{"className":27828},[2201],[1952,27830,27832],{"className":27831},[2174],[1952,27833,27835],{"className":27834,"style":24910},[2178],[1952,27836],{},[1952,27838,18223],{"className":27839},[2470],[1952,27841],{"className":27842,"style":2057},[2056],[1952,27844,2017],{"className":27845},[2061],[1952,27847],{"className":27848,"style":2057},[2056],[1952,27850,27852,27855,27906,27909,27912,27915,27918],{"className":27851},[1986],[1952,27853],{"className":27854,"style":26130},[1990],[1952,27856,27858,27861],{"className":27857},[7832],[1952,27859,23860],{"className":27860,"style":24079},[7832,11942,11943],[1952,27862,27864],{"className":27863},[2165],[1952,27865,27867,27898],{"className":27866},[2169,2170],[1952,27868,27870,27895],{"className":27869},[2174],[1952,27871,27873,27884],{"className":27872,"style":26149},[2178],[1952,27874,27875,27878],{"style":24095},[1952,27876],{"className":27877,"style":2187},[2186],[1952,27879,27881],{"className":27880},[2191,2192,2193,2194],[1952,27882,9173],{"className":27883},[1995,2194],[1952,27885,27886,27889],{"style":24107},[1952,27887],{"className":27888,"style":2187},[2186],[1952,27890,27892],{"className":27891},[2191,2192,2193,2194],[1952,27893,2021],{"className":27894},[1995,2194],[1952,27896,2202],{"className":27897},[2201],[1952,27899,27901],{"className":27900},[2174],[1952,27902,27904],{"className":27903,"style":24166},[2178],[1952,27905],{},[1952,27907],{"className":27908,"style":2082},[2056],[1952,27910,2834],{"className":27911},[1995,1996],[1952,27913],{"className":27914,"style":8948},[2056],[1952,27916,19028],{"className":27917},[5482],[1952,27919],{"className":27920,"style":8948},[2056],[1952,27922,27924,27927,27930,27933,27936,27939,27942],{"className":27923},[1986],[1952,27925],{"className":27926,"style":2380},[1990],[1952,27928,2027],{"className":27929},[1995],[1952,27931,2303],{"className":27932},[2426],[1952,27934,2021],{"className":27935},[1995],[1952,27937],{"className":27938,"style":8948},[2056],[1952,27940,3607],{"className":27941},[5482],[1952,27943],{"className":27944,"style":8948},[2056],[1952,27946,27948,27951,27954,27957,27960,27963,27966,27969],{"className":27947},[1986],[1952,27949],{"className":27950,"style":2380},[1990],[1952,27952,2834],{"className":27953},[1995,1996],[1952,27955,2312],{"className":27956},[2470],[1952,27958,22730],{"className":27959},[1995,1996],[1952,27961,2834],{"className":27962},[1995,1996],[1952,27964],{"className":27965,"style":2057},[2056],[1952,27967,2017],{"className":27968},[2061],[1952,27970],{"className":27971,"style":2057},[2056],[1952,27973,27975,27978,28029,28032,28035,28038,28041,28044],{"className":27974},[1986],[1952,27976],{"className":27977,"style":26130},[1990],[1952,27979,27981,27984],{"className":27980},[7832],[1952,27982,23860],{"className":27983,"style":24079},[7832,11942,11943],[1952,27985,27987],{"className":27986},[2165],[1952,27988,27990,28021],{"className":27989},[2169,2170],[1952,27991,27993,28018],{"className":27992},[2174],[1952,27994,27996,28007],{"className":27995,"style":26149},[2178],[1952,27997,27998,28001],{"style":24095},[1952,27999],{"className":28000,"style":2187},[2186],[1952,28002,28004],{"className":28003},[2191,2192,2193,2194],[1952,28005,9173],{"className":28006},[1995,2194],[1952,28008,28009,28012],{"style":24107},[1952,28010],{"className":28011,"style":2187},[2186],[1952,28013,28015],{"className":28014},[2191,2192,2193,2194],[1952,28016,2021],{"className":28017},[1995,2194],[1952,28019,2202],{"className":28020},[2201],[1952,28022,28024],{"className":28023},[2174],[1952,28025,28027],{"className":28026,"style":24166},[2178],[1952,28028],{},[1952,28030,2303],{"className":28031},[2426],[1952,28033,2027],{"className":28034},[1995],[1952,28036,2834],{"className":28037},[1995,1996],[1952,28039],{"className":28040,"style":8948},[2056],[1952,28042,3607],{"className":28043},[5482],[1952,28045],{"className":28046,"style":8948},[2056],[1952,28048,28050,28054,28057,28086,28089,28092,28095,28098,28101],{"className":28049},[1986],[1952,28051],{"className":28052,"style":28053},[1990],"height:1.1141em;vertical-align:-0.25em;",[1952,28055,2027],{"className":28056},[1995],[1952,28058,28060,28063],{"className":28059},[1995],[1952,28061,2834],{"className":28062},[1995,1996],[1952,28064,28066],{"className":28065},[2165],[1952,28067,28069],{"className":28068},[2169],[1952,28070,28072],{"className":28071},[2174],[1952,28073,28075],{"className":28074,"style":19812},[2178],[1952,28076,28077,28080],{"style":6270},[1952,28078],{"className":28079,"style":2187},[2186],[1952,28081,28083],{"className":28082},[2191,2192,2193,2194],[1952,28084,2027],{"className":28085},[1995,2194],[1952,28087,2312],{"className":28088},[2470],[1952,28090,22730],{"className":28091},[1995,1996],[1952,28093,2834],{"className":28094},[1995,1996],[1952,28096],{"className":28097,"style":2057},[2056],[1952,28099,2017],{"className":28100},[2061],[1952,28102],{"className":28103,"style":2057},[2056],[1952,28105,28107,28111,28114,28117,28120],{"className":28106},[1986],[1952,28108],{"className":28109,"style":28110},[1990],"height:0.7278em;vertical-align:-0.0833em;",[1952,28112,2021],{"className":28113},[1995],[1952,28115],{"className":28116,"style":8948},[2056],[1952,28118,3607],{"className":28119},[5482],[1952,28121],{"className":28122,"style":8948},[2056],[1952,28124,28126,28129,28191,28194,28197],{"className":28125},[1986],[1952,28127],{"className":28128,"style":26231},[1990],[1952,28130,28132,28135,28188],{"className":28131},[1995],[1952,28133],{"className":28134},[2426,20422],[1952,28136,28138],{"className":28137},[20202],[1952,28139,28141,28180],{"className":28140},[2169,2170],[1952,28142,28144,28177],{"className":28143},[2174],[1952,28145,28147,28158,28166],{"className":28146,"style":20843},[2178],[1952,28148,28149,28152],{"style":20438},[1952,28150],{"className":28151,"style":3164},[2186],[1952,28153,28155],{"className":28154},[1995],[1952,28156,26044],{"className":28157},[1995],[1952,28159,28160,28163],{"style":20491},[1952,28161],{"className":28162,"style":3164},[2186],[1952,28164],{"className":28165,"style":20499},[20498],[1952,28167,28168,28171],{"style":20502},[1952,28169],{"className":28170,"style":3164},[2186],[1952,28172,28174],{"className":28173},[1995],[1952,28175,2027],{"className":28176},[1995],[1952,28178,2202],{"className":28179},[2201],[1952,28181,28183],{"className":28182},[2174],[1952,28184,28186],{"className":28185,"style":26289},[2178],[1952,28187],{},[1952,28189],{"className":28190},[2470,20422],[1952,28192],{"className":28193,"style":2057},[2056],[1952,28195,2017],{"className":28196},[2061],[1952,28198],{"className":28199,"style":2057},[2056],[1952,28201,28203,28206],{"className":28202},[1986],[1952,28204],{"className":28205,"style":26231},[1990],[1952,28207,28209,28212,28265],{"className":28208},[1995],[1952,28210],{"className":28211},[2426,20422],[1952,28213,28215],{"className":28214},[20202],[1952,28216,28218,28257],{"className":28217},[2169,2170],[1952,28219,28221,28254],{"className":28220},[2174],[1952,28222,28224,28235,28243],{"className":28223,"style":20843},[2178],[1952,28225,28226,28229],{"style":20438},[1952,28227],{"className":28228,"style":3164},[2186],[1952,28230,28232],{"className":28231},[1995],[1952,28233,26044],{"className":28234},[1995],[1952,28236,28237,28240],{"style":20491},[1952,28238],{"className":28239,"style":3164},[2186],[1952,28241],{"className":28242,"style":20499},[20498],[1952,28244,28245,28248],{"style":20502},[1952,28246],{"className":28247,"style":3164},[2186],[1952,28249,28251],{"className":28250},[1995],[1952,28252,27767],{"className":28253},[1995],[1952,28255,2202],{"className":28256},[2201],[1952,28258,28260],{"className":28259},[2174],[1952,28261,28263],{"className":28262,"style":26289},[2178],[1952,28264],{},[1952,28266],{"className":28267},[2470,20422],[1798,28269,28270],{},"不对！重新计算：",[1952,28272,28274],{"className":28273},[3565],[1952,28275,28277,28347],{"className":28276},[1955],[1952,28278,28280],{"className":28279},[1959],[1961,28281,28282],{"xmlns":1963,"display":3574},[1965,28283,28284,28344],{},[1968,28285,28286,28302,28304,28306,28308,28310,28312,28314,28316,28318,28320,28322,28324,28326,28328,28330,28332,28334,28336,28338,28340,28342],{},[2124,28287,28288,28290],{},[1971,28289,2707],{},[2124,28291,28292,28294],{},[1971,28293,2128],{},[1968,28295,28296,28298,28300],{},[2015,28297,2303],{"stretchy":2302},[2019,28299,2027],{},[2015,28301,2312],{"stretchy":2302},[2015,28303,2303],{"stretchy":2302},[1971,28305,2834],{},[2015,28307,2312],{"stretchy":2302},[2015,28309,2017],{},[2019,28311,2027],{},[1971,28313,2834],{},[2015,28315,19028],{},[2019,28317,2021],{},[2015,28319,2017],{},[2019,28321,2027],{},[1971,28323,2834],{},[2056,28325],{"width":3673},[2015,28327,2303],{"stretchy":2302},[1971,28329,2834],{},[2015,28331,2133],{},[2015,28333,18209],{"stretchy":2302},[2019,28335,9173],{},[2015,28337,2024],{"separator":1982},[2019,28339,2021],{},[2015,28341,18223],{"stretchy":2302},[2015,28343,2312],{"stretchy":2302},[1975,28345,28346],{"encoding":1977},"f_{\\theta_{(2)}}(x) = 2x \\cdot 1 = 2x \\quad (x \\in [0,1])",[1952,28348,28350,28464,28485,28503,28533],{"className":28349,"ariaHidden":1982},[1981],[1952,28351,28353,28356,28446,28449,28452,28455,28458,28461],{"className":28352},[1986],[1952,28354],{"className":28355,"style":25786},[1990],[1952,28357,28359,28362],{"className":28358},[1995],[1952,28360,2707],{"className":28361,"style":2734},[1995,1996],[1952,28363,28365],{"className":28364},[2165],[1952,28366,28368,28438],{"className":28367},[2169,2170],[1952,28369,28371,28435],{"className":28370},[2174],[1952,28372,28374],{"className":28373,"style":8522},[2178],[1952,28375,28377,28380],{"style":28376},"top:-2.55em;margin-left:-0.1076em;margin-right:0.05em;",[1952,28378],{"className":28379,"style":2187},[2186],[1952,28381,28383],{"className":28382},[2191,2192,2193,2194],[1952,28384,28386],{"className":28385},[1995,2194],[1952,28387,28389,28392],{"className":28388},[1995,2194],[1952,28390,2128],{"className":28391,"style":2161},[1995,1996,2194],[1952,28393,28395],{"className":28394},[2165],[1952,28396,28398,28427],{"className":28397},[2169,2170],[1952,28399,28401,28424],{"className":28400},[2174],[1952,28402,28404],{"className":28403,"style":24873},[2178],[1952,28405,28406,28409],{"style":25836},[1952,28407],{"className":28408,"style":25840},[2186],[1952,28410,28412],{"className":28411},[2191,22855,22856,2194],[1952,28413,28415,28418,28421],{"className":28414},[1995,2194],[1952,28416,2303],{"className":28417},[2426,2194],[1952,28419,2027],{"className":28420},[1995,2194],[1952,28422,2312],{"className":28423},[2470,2194],[1952,28425,2202],{"className":28426},[2201],[1952,28428,28430],{"className":28429},[2174],[1952,28431,28433],{"className":28432,"style":25865},[2178],[1952,28434],{},[1952,28436,2202],{"className":28437},[2201],[1952,28439,28441],{"className":28440},[2174],[1952,28442,28444],{"className":28443,"style":25877},[2178],[1952,28445],{},[1952,28447,2303],{"className":28448},[2426],[1952,28450,2834],{"className":28451},[1995,1996],[1952,28453,2312],{"className":28454},[2470],[1952,28456],{"className":28457,"style":2057},[2056],[1952,28459,2017],{"className":28460},[2061],[1952,28462],{"className":28463,"style":2057},[2056],[1952,28465,28467,28470,28473,28476,28479,28482],{"className":28466},[1986],[1952,28468],{"className":28469,"style":9241},[1990],[1952,28471,2027],{"className":28472},[1995],[1952,28474,2834],{"className":28475},[1995,1996],[1952,28477],{"className":28478,"style":8948},[2056],[1952,28480,19028],{"className":28481},[5482],[1952,28483],{"className":28484,"style":8948},[2056],[1952,28486,28488,28491,28494,28497,28500],{"className":28487},[1986],[1952,28489],{"className":28490,"style":9241},[1990],[1952,28492,2021],{"className":28493},[1995],[1952,28495],{"className":28496,"style":2057},[2056],[1952,28498,2017],{"className":28499},[2061],[1952,28501],{"className":28502,"style":2057},[2056],[1952,28504,28506,28509,28512,28515,28518,28521,28524,28527,28530],{"className":28505},[1986],[1952,28507],{"className":28508,"style":2380},[1990],[1952,28510,2027],{"className":28511},[1995],[1952,28513,2834],{"className":28514},[1995,1996],[1952,28516],{"className":28517,"style":4152},[2056],[1952,28519,2303],{"className":28520},[2426],[1952,28522,2834],{"className":28523},[1995,1996],[1952,28525],{"className":28526,"style":2057},[2056],[1952,28528,2133],{"className":28529},[2061],[1952,28531],{"className":28532,"style":2057},[2056],[1952,28534,28536,28539,28542,28545,28548,28551,28554],{"className":28535},[1986],[1952,28537],{"className":28538,"style":2380},[1990],[1952,28540,18209],{"className":28541},[2426],[1952,28543,9173],{"className":28544},[1995],[1952,28546,2024],{"className":28547},[2078],[1952,28549],{"className":28550,"style":2082},[2056],[1952,28552,2021],{"className":28553},[1995],[1952,28555,28557],{"className":28556},[2470],"])",[1952,28559,28561],{"className":28560},[3565],[1952,28562,28564,28624],{"className":28563},[1955],[1952,28565,28567],{"className":28566},[1959],[1961,28568,28569],{"xmlns":1963,"display":3574},[1965,28570,28571,28621],{},[1968,28572,28573,28575,28577,28589,28591,28593,28601,28603,28605,28607,28609,28611,28613,28615],{},[1971,28574,24379],{},[2015,28576,18209],{"stretchy":2302},[2124,28578,28579,28581],{},[1971,28580,2128],{},[1968,28582,28583,28585,28587],{},[2015,28584,2303],{"stretchy":2302},[2019,28586,2027],{},[2015,28588,2312],{"stretchy":2302},[2015,28590,18223],{"stretchy":2302},[2015,28592,2017],{},[6085,28594,28595,28597,28599],{},[2015,28596,23860],{},[2019,28598,9173],{},[2019,28600,2021],{},[1971,28602,2834],{},[2015,28604,19028],{},[2019,28606,2027],{},[1971,28608,2834],{},[1971,28610,22730],{},[1971,28612,2834],{},[2015,28614,2017],{},[20202,28616,28617,28619],{},[2019,28618,2027],{},[2019,28620,26044],{},[1975,28622,28623],{"encoding":1977},"E[\\theta_{(2)}] = \\int_0^1 x \\cdot 2x dx = \\frac{2}{3}",[1952,28625,28627,28700,28772,28799],{"className":28626,"ariaHidden":1982},[1981],[1952,28628,28630,28633,28636,28639,28688,28691,28694,28697],{"className":28629},[1986],[1952,28631],{"className":28632,"style":24847},[1990],[1952,28634,24379],{"className":28635,"style":24851},[1995,1996],[1952,28637,18209],{"className":28638},[2426],[1952,28640,28642,28645],{"className":28641},[1995],[1952,28643,2128],{"className":28644,"style":2161},[1995,1996],[1952,28646,28648],{"className":28647},[2165],[1952,28649,28651,28680],{"className":28650},[2169,2170],[1952,28652,28654,28677],{"className":28653},[2174],[1952,28655,28657],{"className":28656,"style":24873},[2178],[1952,28658,28659,28662],{"style":24876},[1952,28660],{"className":28661,"style":2187},[2186],[1952,28663,28665],{"className":28664},[2191,2192,2193,2194],[1952,28666,28668,28671,28674],{"className":28667},[1995,2194],[1952,28669,2303],{"className":28670},[2426,2194],[1952,28672,2027],{"className":28673},[1995,2194],[1952,28675,2312],{"className":28676},[2470,2194],[1952,28678,2202],{"className":28679},[2201],[1952,28681,28683],{"className":28682},[2174],[1952,28684,28686],{"className":28685,"style":24910},[2178],[1952,28687],{},[1952,28689,18223],{"className":28690},[2470],[1952,28692],{"className":28693,"style":2057},[2056],[1952,28695,2017],{"className":28696},[2061],[1952,28698],{"className":28699,"style":2057},[2056],[1952,28701,28703,28706,28757,28760,28763,28766,28769],{"className":28702},[1986],[1952,28704],{"className":28705,"style":26130},[1990],[1952,28707,28709,28712],{"className":28708},[7832],[1952,28710,23860],{"className":28711,"style":24079},[7832,11942,11943],[1952,28713,28715],{"className":28714},[2165],[1952,28716,28718,28749],{"className":28717},[2169,2170],[1952,28719,28721,28746],{"className":28720},[2174],[1952,28722,28724,28735],{"className":28723,"style":26149},[2178],[1952,28725,28726,28729],{"style":24095},[1952,28727],{"className":28728,"style":2187},[2186],[1952,28730,28732],{"className":28731},[2191,2192,2193,2194],[1952,28733,9173],{"className":28734},[1995,2194],[1952,28736,28737,28740],{"style":24107},[1952,28738],{"className":28739,"style":2187},[2186],[1952,28741,28743],{"className":28742},[2191,2192,2193,2194],[1952,28744,2021],{"className":28745},[1995,2194],[1952,28747,2202],{"className":28748},[2201],[1952,28750,28752],{"className":28751},[2174],[1952,28753,28755],{"className":28754,"style":24166},[2178],[1952,28756],{},[1952,28758],{"className":28759,"style":2082},[2056],[1952,28761,2834],{"className":28762},[1995,1996],[1952,28764],{"className":28765,"style":8948},[2056],[1952,28767,19028],{"className":28768},[5482],[1952,28770],{"className":28771,"style":8948},[2056],[1952,28773,28775,28778,28781,28784,28787,28790,28793,28796],{"className":28774},[1986],[1952,28776],{"className":28777,"style":2524},[1990],[1952,28779,2027],{"className":28780},[1995],[1952,28782,2834],{"className":28783},[1995,1996],[1952,28785,22730],{"className":28786},[1995,1996],[1952,28788,2834],{"className":28789},[1995,1996],[1952,28791],{"className":28792,"style":2057},[2056],[1952,28794,2017],{"className":28795},[2061],[1952,28797],{"className":28798,"style":2057},[2056],[1952,28800,28802,28805],{"className":28801},[1986],[1952,28803],{"className":28804,"style":26231},[1990],[1952,28806,28808,28811,28864],{"className":28807},[1995],[1952,28809],{"className":28810},[2426,20422],[1952,28812,28814],{"className":28813},[20202],[1952,28815,28817,28856],{"className":28816},[2169,2170],[1952,28818,28820,28853],{"className":28819},[2174],[1952,28821,28823,28834,28842],{"className":28822,"style":20843},[2178],[1952,28824,28825,28828],{"style":20438},[1952,28826],{"className":28827,"style":3164},[2186],[1952,28829,28831],{"className":28830},[1995],[1952,28832,26044],{"className":28833},[1995],[1952,28835,28836,28839],{"style":20491},[1952,28837],{"className":28838,"style":3164},[2186],[1952,28840],{"className":28841,"style":20499},[20498],[1952,28843,28844,28847],{"style":20502},[1952,28845],{"className":28846,"style":3164},[2186],[1952,28848,28850],{"className":28849},[1995],[1952,28851,2027],{"className":28852},[1995],[1952,28854,2202],{"className":28855},[2201],[1952,28857,28859],{"className":28858},[2174],[1952,28860,28862],{"className":28861,"style":26289},[2178],[1952,28863],{},[1952,28865],{"className":28866},[2470,20422],[1798,28868,28869],{},"这不对，应该是最大值...",[1798,28871,28872,1946,28875,28926,28927,23049],{},[1850,28873,28874],{},"更正",[1952,28876,28878,28896],{"className":28877},[1955],[1952,28879,28881],{"className":28880},[1959],[1961,28882,28883],{"xmlns":1963},[1965,28884,28885,28893],{},[1968,28886,28887,28889,28891],{},[1971,28888,1973],{},[2015,28890,2017],{},[2019,28892,2027],{},[1975,28894,28895],{"encoding":1977},"N=2",[1952,28897,28899,28917],{"className":28898,"ariaHidden":1982},[1981],[1952,28900,28902,28905,28908,28911,28914],{"className":28901},[1986],[1952,28903],{"className":28904,"style":1991},[1990],[1952,28906,1973],{"className":28907,"style":1997},[1995,1996],[1952,28909],{"className":28910,"style":2057},[2056],[1952,28912,2017],{"className":28913},[2061],[1952,28915],{"className":28916,"style":2057},[2056],[1952,28918,28920,28923],{"className":28919},[1986],[1952,28921],{"className":28922,"style":9241},[1990],[1952,28924,2027],{"className":28925},[1995],"，最大值的密度 ",[1952,28928,28930,28982],{"className":28929},[1955],[1952,28931,28933],{"className":28932},[1959],[1961,28934,28935],{"xmlns":1963},[1965,28936,28937,28979],{},[1968,28938,28939,28947,28949,28951,28953,28955,28957,28959,28961,28963,28965,28967,28969,28971,28973,28975,28977],{},[2124,28940,28941,28943,28945],{},[1971,28942,2707],{},[1971,28944,7800],{},[2015,28946,7803],{},[2015,28948,2303],{"stretchy":2302},[1971,28950,2834],{},[2015,28952,2312],{"stretchy":2302},[2015,28954,2017],{},[2019,28956,2027],{},[1971,28958,2297],{},[2015,28960,2303],{"stretchy":2302},[1971,28962,2834],{},[2015,28964,2312],{"stretchy":2302},[1971,28966,2707],{},[2015,28968,2303],{"stretchy":2302},[1971,28970,2834],{},[2015,28972,2312],{"stretchy":2302},[2015,28974,2017],{},[2019,28976,2027],{},[1971,28978,2834],{},[1975,28980,28981],{"encoding":1977},"f_{\\max}(x) = 2F(x)f(x) = 2x",[1952,28983,28985,29062,29104],{"className":28984,"ariaHidden":1982},[1981],[1952,28986,28988,28991,29044,29047,29050,29053,29056,29059],{"className":28987},[1986],[1952,28989],{"className":28990,"style":2380},[1990],[1952,28992,28994,28997],{"className":28993},[1995],[1952,28995,2707],{"className":28996,"style":2734},[1995,1996],[1952,28998,29000],{"className":28999},[2165],[1952,29001,29003,29036],{"className":29002},[2169,2170],[1952,29004,29006,29033],{"className":29005},[2174],[1952,29007,29010],{"className":29008,"style":29009},[2178],"height:0.1514em;",[1952,29011,29012,29015],{"style":28376},[1952,29013],{"className":29014,"style":2187},[2186],[1952,29016,29018],{"className":29017},[2191,2192,2193,2194],[1952,29019,29021],{"className":29020},[1995,2194],[1952,29022,29024,29027,29030],{"className":29023},[7832,2194],[1952,29025,17802],{"className":29026},[2194],[1952,29028,1827],{"className":29029},[2194],[1952,29031,2834],{"className":29032},[2194],[1952,29034,2202],{"className":29035},[2201],[1952,29037,29039],{"className":29038},[2174],[1952,29040,29042],{"className":29041,"style":2209},[2178],[1952,29043],{},[1952,29045,2303],{"className":29046},[2426],[1952,29048,2834],{"className":29049},[1995,1996],[1952,29051,2312],{"className":29052},[2470],[1952,29054],{"className":29055,"style":2057},[2056],[1952,29057,2017],{"className":29058},[2061],[1952,29060],{"className":29061,"style":2057},[2056],[1952,29063,29065,29068,29071,29074,29077,29080,29083,29086,29089,29092,29095,29098,29101],{"className":29064},[1986],[1952,29066],{"className":29067,"style":2380},[1990],[1952,29069,2027],{"className":29070},[1995],[1952,29072,2297],{"className":29073,"style":2387},[1995,1996],[1952,29075,2303],{"className":29076},[2426],[1952,29078,2834],{"className":29079},[1995,1996],[1952,29081,2312],{"className":29082},[2470],[1952,29084,2707],{"className":29085,"style":2734},[1995,1996],[1952,29087,2303],{"className":29088},[2426],[1952,29090,2834],{"className":29091},[1995,1996],[1952,29093,2312],{"className":29094},[2470],[1952,29096],{"className":29097,"style":2057},[2056],[1952,29099,2017],{"className":29100},[2061],[1952,29102],{"className":29103,"style":2057},[2056],[1952,29105,29107,29110,29113],{"className":29106},[1986],[1952,29108],{"className":29109,"style":9241},[1990],[1952,29111,2027],{"className":29112},[1995],[1952,29114,2834],{"className":29115},[1995,1996],[1952,29117,29119],{"className":29118},[3565],[1952,29120,29122,29194],{"className":29121},[1955],[1952,29123,29125],{"className":29124},[1959],[1961,29126,29127],{"xmlns":1963,"display":3574},[1965,29128,29129,29191],{},[1968,29130,29131,29133,29135,29147,29149,29151,29153,29155,29157,29159,29161,29163,29171,29173,29175,29177,29179,29181,29183,29185],{},[1971,29132,24379],{},[2015,29134,18209],{"stretchy":2302},[2124,29136,29137,29139],{},[1971,29138,2128],{},[1968,29140,29141,29143,29145],{},[2015,29142,2303],{"stretchy":2302},[2019,29144,2027],{},[2015,29146,2312],{"stretchy":2302},[2015,29148,18223],{"stretchy":2302},[2015,29150,2017],{},[1971,29152,24379],{},[2015,29154,18209],{"stretchy":2302},[1971,29156,7800],{},[2015,29158,7803],{},[2015,29160,18223],{"stretchy":2302},[2015,29162,2017],{},[6085,29164,29165,29167,29169],{},[2015,29166,23860],{},[2019,29168,9173],{},[2019,29170,2021],{},[1971,29172,2834],{},[2015,29174,19028],{},[2019,29176,2027],{},[1971,29178,2834],{},[1971,29180,22730],{},[1971,29182,2834],{},[2015,29184,2017],{},[20202,29186,29187,29189],{},[2019,29188,2027],{},[2019,29190,26044],{},[1975,29192,29193],{"encoding":1977},"E[\\theta_{(2)}] = E[\\max] = \\int_0^1 x \\cdot 2x dx = \\frac{2}{3}",[1952,29195,29197,29270,29297,29369,29396],{"className":29196,"ariaHidden":1982},[1981],[1952,29198,29200,29203,29206,29209,29258,29261,29264,29267],{"className":29199},[1986],[1952,29201],{"className":29202,"style":24847},[1990],[1952,29204,24379],{"className":29205,"style":24851},[1995,1996],[1952,29207,18209],{"className":29208},[2426],[1952,29210,29212,29215],{"className":29211},[1995],[1952,29213,2128],{"className":29214,"style":2161},[1995,1996],[1952,29216,29218],{"className":29217},[2165],[1952,29219,29221,29250],{"className":29220},[2169,2170],[1952,29222,29224,29247],{"className":29223},[2174],[1952,29225,29227],{"className":29226,"style":24873},[2178],[1952,29228,29229,29232],{"style":24876},[1952,29230],{"className":29231,"style":2187},[2186],[1952,29233,29235],{"className":29234},[2191,2192,2193,2194],[1952,29236,29238,29241,29244],{"className":29237},[1995,2194],[1952,29239,2303],{"className":29240},[2426,2194],[1952,29242,2027],{"className":29243},[1995,2194],[1952,29245,2312],{"className":29246},[2470,2194],[1952,29248,2202],{"className":29249},[2201],[1952,29251,29253],{"className":29252},[2174],[1952,29254,29256],{"className":29255,"style":24910},[2178],[1952,29257],{},[1952,29259,18223],{"className":29260},[2470],[1952,29262],{"className":29263,"style":2057},[2056],[1952,29265,2017],{"className":29266},[2061],[1952,29268],{"className":29269,"style":2057},[2056],[1952,29271,29273,29276,29279,29282,29285,29288,29291,29294],{"className":29272},[1986],[1952,29274],{"className":29275,"style":2380},[1990],[1952,29277,24379],{"className":29278,"style":24851},[1995,1996],[1952,29280,18209],{"className":29281},[2426],[1952,29283,7800],{"className":29284},[7832],[1952,29286,18223],{"className":29287},[2470],[1952,29289],{"className":29290,"style":2057},[2056],[1952,29292,2017],{"className":29293},[2061],[1952,29295],{"className":29296,"style":2057},[2056],[1952,29298,29300,29303,29354,29357,29360,29363,29366],{"className":29299},[1986],[1952,29301],{"className":29302,"style":26130},[1990],[1952,29304,29306,29309],{"className":29305},[7832],[1952,29307,23860],{"className":29308,"style":24079},[7832,11942,11943],[1952,29310,29312],{"className":29311},[2165],[1952,29313,29315,29346],{"className":29314},[2169,2170],[1952,29316,29318,29343],{"className":29317},[2174],[1952,29319,29321,29332],{"className":29320,"style":26149},[2178],[1952,29322,29323,29326],{"style":24095},[1952,29324],{"className":29325,"style":2187},[2186],[1952,29327,29329],{"className":29328},[2191,2192,2193,2194],[1952,29330,9173],{"className":29331},[1995,2194],[1952,29333,29334,29337],{"style":24107},[1952,29335],{"className":29336,"style":2187},[2186],[1952,29338,29340],{"className":29339},[2191,2192,2193,2194],[1952,29341,2021],{"className":29342},[1995,2194],[1952,29344,2202],{"className":29345},[2201],[1952,29347,29349],{"className":29348},[2174],[1952,29350,29352],{"className":29351,"style":24166},[2178],[1952,29353],{},[1952,29355],{"className":29356,"style":2082},[2056],[1952,29358,2834],{"className":29359},[1995,1996],[1952,29361],{"className":29362,"style":8948},[2056],[1952,29364,19028],{"className":29365},[5482],[1952,29367],{"className":29368,"style":8948},[2056],[1952,29370,29372,29375,29378,29381,29384,29387,29390,29393],{"className":29371},[1986],[1952,29373],{"className":29374,"style":2524},[1990],[1952,29376,2027],{"className":29377},[1995],[1952,29379,2834],{"className":29380},[1995,1996],[1952,29382,22730],{"className":29383},[1995,1996],[1952,29385,2834],{"className":29386},[1995,1996],[1952,29388],{"className":29389,"style":2057},[2056],[1952,29391,2017],{"className":29392},[2061],[1952,29394],{"className":29395,"style":2057},[2056],[1952,29397,29399,29402],{"className":29398},[1986],[1952,29400],{"className":29401,"style":26231},[1990],[1952,29403,29405,29408,29461],{"className":29404},[1995],[1952,29406],{"className":29407},[2426,20422],[1952,29409,29411],{"className":29410},[20202],[1952,29412,29414,29453],{"className":29413},[2169,2170],[1952,29415,29417,29450],{"className":29416},[2174],[1952,29418,29420,29431,29439],{"className":29419,"style":20843},[2178],[1952,29421,29422,29425],{"style":20438},[1952,29423],{"className":29424,"style":3164},[2186],[1952,29426,29428],{"className":29427},[1995],[1952,29429,26044],{"className":29430},[1995],[1952,29432,29433,29436],{"style":20491},[1952,29434],{"className":29435,"style":3164},[2186],[1952,29437],{"className":29438,"style":20499},[20498],[1952,29440,29441,29444],{"style":20502},[1952,29442],{"className":29443,"style":3164},[2186],[1952,29445,29447],{"className":29446},[1995],[1952,29448,2027],{"className":29449},[1995],[1952,29451,2202],{"className":29452},[2201],[1952,29454,29456],{"className":29455},[2174],[1952,29457,29459],{"className":29458,"style":26289},[2178],[1952,29460],{},[1952,29462],{"className":29463},[2470,20422],[1798,29465,29466,29467,1946],{},"等等，这是错的。对于 ",[1952,29468,29470,29493],{"className":29469},[1955],[1952,29471,29473],{"className":29472},[1959],[1961,29474,29475],{"xmlns":1963},[1965,29476,29477,29491],{},[1968,29478,29479,29481,29483,29485,29487,29489],{},[1971,29480,13221],{},[2015,29482,18209],{"stretchy":2302},[2019,29484,9173],{},[2015,29486,2024],{"separator":1982},[2019,29488,2021],{},[2015,29490,18223],{"stretchy":2302},[1975,29492,25679],{"encoding":1977},[1952,29494,29496],{"className":29495,"ariaHidden":1982},[1981],[1952,29497,29499,29502,29505,29508,29511,29514,29517,29520],{"className":29498},[1986],[1952,29500],{"className":29501,"style":2380},[1990],[1952,29503,13221],{"className":29504,"style":1997},[1995,1996],[1952,29506,18209],{"className":29507},[2426],[1952,29509,9173],{"className":29510},[1995],[1952,29512,2024],{"className":29513},[2078],[1952,29515],{"className":29516,"style":2082},[2056],[1952,29518,2021],{"className":29519},[1995],[1952,29521,18223],{"className":29522},[2470],[1805,29524,29525,29775],{},[1808,29526,29527,29528],{},"最大值的期望：",[1952,29529,29531,29579],{"className":29530},[1955],[1952,29532,29534],{"className":29533},[1959],[1961,29535,29536],{"xmlns":1963},[1965,29537,29538,29576],{},[1968,29539,29540,29542,29544,29546,29548,29550,29556,29558,29564,29566,29568,29570],{},[1971,29541,24379],{},[2015,29543,18209],{"stretchy":2302},[1971,29545,7800],{},[2015,29547,7803],{},[2015,29549,2303],{"stretchy":2302},[2124,29551,29552,29554],{},[1971,29553,2128],{},[2019,29555,2021],{},[2015,29557,2024],{"separator":1982},[2124,29559,29560,29562],{},[1971,29561,2128],{},[2019,29563,2027],{},[2015,29565,2312],{"stretchy":2302},[2015,29567,18223],{"stretchy":2302},[2015,29569,2017],{},[20202,29571,29572,29574],{},[2019,29573,2027],{},[2019,29575,26044],{},[1975,29577,29578],{"encoding":1977},"E[\\max(\\theta_1, \\theta_2)] = \\frac{2}{3}",[1952,29580,29582,29698],{"className":29581,"ariaHidden":1982},[1981],[1952,29583,29585,29588,29591,29594,29597,29600,29640,29643,29646,29686,29689,29692,29695],{"className":29584},[1986],[1952,29586],{"className":29587,"style":2380},[1990],[1952,29589,24379],{"className":29590,"style":24851},[1995,1996],[1952,29592,18209],{"className":29593},[2426],[1952,29595,7800],{"className":29596},[7832],[1952,29598,2303],{"className":29599},[2426],[1952,29601,29603,29606],{"className":29602},[1995],[1952,29604,2128],{"className":29605,"style":2161},[1995,1996],[1952,29607,29609],{"className":29608},[2165],[1952,29610,29612,29632],{"className":29611},[2169,2170],[1952,29613,29615,29629],{"className":29614},[2174],[1952,29616,29618],{"className":29617,"style":2564},[2178],[1952,29619,29620,29623],{"style":2182},[1952,29621],{"className":29622,"style":2187},[2186],[1952,29624,29626],{"className":29625},[2191,2192,2193,2194],[1952,29627,2021],{"className":29628},[1995,2194],[1952,29630,2202],{"className":29631},[2201],[1952,29633,29635],{"className":29634},[2174],[1952,29636,29638],{"className":29637,"style":2209},[2178],[1952,29639],{},[1952,29641,2024],{"className":29642},[2078],[1952,29644],{"className":29645,"style":2082},[2056],[1952,29647,29649,29652],{"className":29648},[1995],[1952,29650,2128],{"className":29651,"style":2161},[1995,1996],[1952,29653,29655],{"className":29654},[2165],[1952,29656,29658,29678],{"className":29657},[2169,2170],[1952,29659,29661,29675],{"className":29660},[2174],[1952,29662,29664],{"className":29663,"style":2564},[2178],[1952,29665,29666,29669],{"style":2182},[1952,29667],{"className":29668,"style":2187},[2186],[1952,29670,29672],{"className":29671},[2191,2192,2193,2194],[1952,29673,2027],{"className":29674},[1995,2194],[1952,29676,2202],{"className":29677},[2201],[1952,29679,29681],{"className":29680},[2174],[1952,29682,29684],{"className":29683,"style":2209},[2178],[1952,29685],{},[1952,29687,27365],{"className":29688},[2470],[1952,29690],{"className":29691,"style":2057},[2056],[1952,29693,2017],{"className":29694},[2061],[1952,29696],{"className":29697,"style":2057},[2056],[1952,29699,29701,29705],{"className":29700},[1986],[1952,29702],{"className":29703,"style":29704},[1990],"height:1.1901em;vertical-align:-0.345em;",[1952,29706,29708,29711,29772],{"className":29707},[1995],[1952,29709],{"className":29710},[2426,20422],[1952,29712,29714],{"className":29713},[20202],[1952,29715,29717,29763],{"className":29716},[2169,2170],[1952,29718,29720,29760],{"className":29719},[2174],[1952,29721,29724,29738,29746],{"className":29722,"style":29723},[2178],"height:0.8451em;",[1952,29725,29726,29729],{"style":22813},[1952,29727],{"className":29728,"style":3164},[2186],[1952,29730,29732],{"className":29731},[2191,2192,2193,2194],[1952,29733,29735],{"className":29734},[1995,2194],[1952,29736,26044],{"className":29737},[1995,2194],[1952,29739,29740,29743],{"style":20491},[1952,29741],{"className":29742,"style":3164},[2186],[1952,29744],{"className":29745,"style":20499},[20498],[1952,29747,29748,29751],{"style":22882},[1952,29749],{"className":29750,"style":3164},[2186],[1952,29752,29754],{"className":29753},[2191,2192,2193,2194],[1952,29755,29757],{"className":29756},[1995,2194],[1952,29758,2027],{"className":29759},[1995,2194],[1952,29761,2202],{"className":29762},[2201],[1952,29764,29766],{"className":29765},[2174],[1952,29767,29770],{"className":29768,"style":29769},[2178],"height:0.345em;",[1952,29771],{},[1952,29773],{"className":29774},[2470,20422],[1808,29776,29777,29778],{},"最小值的期望：",[1952,29779,29781,29830],{"className":29780},[1955],[1952,29782,29784],{"className":29783},[1959],[1961,29785,29786],{"xmlns":1963},[1965,29787,29788,29827],{},[1968,29789,29790,29792,29794,29797,29799,29801,29807,29809,29815,29817,29819,29821],{},[1971,29791,24379],{},[2015,29793,18209],{"stretchy":2302},[1971,29795,29796],{},"min",[2015,29798,7803],{},[2015,29800,2303],{"stretchy":2302},[2124,29802,29803,29805],{},[1971,29804,2128],{},[2019,29806,2021],{},[2015,29808,2024],{"separator":1982},[2124,29810,29811,29813],{},[1971,29812,2128],{},[2019,29814,2027],{},[2015,29816,2312],{"stretchy":2302},[2015,29818,18223],{"stretchy":2302},[2015,29820,2017],{},[20202,29822,29823,29825],{},[2019,29824,2021],{},[2019,29826,26044],{},[1975,29828,29829],{"encoding":1977},"E[\\min(\\theta_1, \\theta_2)] = \\frac{1}{3}",[1952,29831,29833,29949],{"className":29832,"ariaHidden":1982},[1981],[1952,29834,29836,29839,29842,29845,29848,29851,29891,29894,29897,29937,29940,29943,29946],{"className":29835},[1986],[1952,29837],{"className":29838,"style":2380},[1990],[1952,29840,24379],{"className":29841,"style":24851},[1995,1996],[1952,29843,18209],{"className":29844},[2426],[1952,29846,29796],{"className":29847},[7832],[1952,29849,2303],{"className":29850},[2426],[1952,29852,29854,29857],{"className":29853},[1995],[1952,29855,2128],{"className":29856,"style":2161},[1995,1996],[1952,29858,29860],{"className":29859},[2165],[1952,29861,29863,29883],{"className":29862},[2169,2170],[1952,29864,29866,29880],{"className":29865},[2174],[1952,29867,29869],{"className":29868,"style":2564},[2178],[1952,29870,29871,29874],{"style":2182},[1952,29872],{"className":29873,"style":2187},[2186],[1952,29875,29877],{"className":29876},[2191,2192,2193,2194],[1952,29878,2021],{"className":29879},[1995,2194],[1952,29881,2202],{"className":29882},[2201],[1952,29884,29886],{"className":29885},[2174],[1952,29887,29889],{"className":29888,"style":2209},[2178],[1952,29890],{},[1952,29892,2024],{"className":29893},[2078],[1952,29895],{"className":29896,"style":2082},[2056],[1952,29898,29900,29903],{"className":29899},[1995],[1952,29901,2128],{"className":29902,"style":2161},[1995,1996],[1952,29904,29906],{"className":29905},[2165],[1952,29907,29909,29929],{"className":29908},[2169,2170],[1952,29910,29912,29926],{"className":29911},[2174],[1952,29913,29915],{"className":29914,"style":2564},[2178],[1952,29916,29917,29920],{"style":2182},[1952,29918],{"className":29919,"style":2187},[2186],[1952,29921,29923],{"className":29922},[2191,2192,2193,2194],[1952,29924,2027],{"className":29925},[1995,2194],[1952,29927,2202],{"className":29928},[2201],[1952,29930,29932],{"className":29931},[2174],[1952,29933,29935],{"className":29934,"style":2209},[2178],[1952,29936],{},[1952,29938,27365],{"className":29939},[2470],[1952,29941],{"className":29942,"style":2057},[2056],[1952,29944,2017],{"className":29945},[2061],[1952,29947],{"className":29948,"style":2057},[2056],[1952,29950,29952,29955],{"className":29951},[1986],[1952,29953],{"className":29954,"style":29704},[1990],[1952,29956,29958,29961,30020],{"className":29957},[1995],[1952,29959],{"className":29960},[2426,20422],[1952,29962,29964],{"className":29963},[20202],[1952,29965,29967,30012],{"className":29966},[2169,2170],[1952,29968,29970,30009],{"className":29969},[2174],[1952,29971,29973,29987,29995],{"className":29972,"style":29723},[2178],[1952,29974,29975,29978],{"style":22813},[1952,29976],{"className":29977,"style":3164},[2186],[1952,29979,29981],{"className":29980},[2191,2192,2193,2194],[1952,29982,29984],{"className":29983},[1995,2194],[1952,29985,26044],{"className":29986},[1995,2194],[1952,29988,29989,29992],{"style":20491},[1952,29990],{"className":29991,"style":3164},[2186],[1952,29993],{"className":29994,"style":20499},[20498],[1952,29996,29997,30000],{"style":22882},[1952,29998],{"className":29999,"style":3164},[2186],[1952,30001,30003],{"className":30002},[2191,2192,2193,2194],[1952,30004,30006],{"className":30005},[1995,2194],[1952,30007,2021],{"className":30008},[1995,2194],[1952,30010,2202],{"className":30011},[2201],[1952,30013,30015],{"className":30014},[2174],[1952,30016,30018],{"className":30017,"style":29769},[2178],[1952,30019],{},[1952,30021],{"className":30022},[2470,20422],[1798,30024,30025],{},"一级价格收益：",[1952,30027,30029],{"className":30028},[3565],[1952,30030,30032,30114],{"className":30031},[1955],[1952,30033,30035],{"className":30034},[1959],[1961,30036,30037],{"xmlns":1963,"display":3574},[1965,30038,30039,30111],{},[1968,30040,30041,30051,30053,30055,30057,30059,30061,30063,30065,30067,30069,30071,30073,30087,30089,30095,30097,30103,30105],{},[2124,30042,30043,30045],{},[1971,30044,25487],{},[1968,30046,30047,30049],{},[1971,30048,2297],{},[1971,30050,25495],{},[2015,30052,2017],{},[1971,30054,24379],{},[2015,30056,18209],{"stretchy":2302},[1971,30058,3489],{},[2015,30060,2303],{"stretchy":2302},[1971,30062,7800],{},[2015,30064,7803],{},[2015,30066,2312],{"stretchy":2302},[2015,30068,18223],{"stretchy":2302},[2015,30070,2017],{},[1971,30072,24379],{},[1968,30074,30075,30077,30085],{},[2015,30076,18209],{"fence":1982},[20202,30078,30079,30081,30083],{},[1971,30080,7800],{},[2015,30082,7803],{},[2019,30084,2027],{},[2015,30086,18223],{"fence":1982},[2015,30088,2017],{},[20202,30090,30091,30093],{},[2019,30092,2021],{},[2019,30094,2027],{},[2015,30096,19028],{},[20202,30098,30099,30101],{},[2019,30100,2027],{},[2019,30102,26044],{},[2015,30104,2017],{},[20202,30106,30107,30109],{},[2019,30108,2021],{},[2019,30110,26044],{},[1975,30112,30113],{"encoding":1977},"R_{FP} = E[b(\\max)] = E\\left[\\frac{\\max}{2}\\right] = \\frac{1}{2} \\cdot \\frac{2}{3} = \\frac{1}{3}",[1952,30115,30117,30178,30211,30312,30389,30466],{"className":30116,"ariaHidden":1982},[1981],[1952,30118,30120,30123,30169,30172,30175],{"className":30119},[1986],[1952,30121],{"className":30122,"style":2227},[1990],[1952,30124,30126,30129],{"className":30125},[1995],[1952,30127,25487],{"className":30128,"style":25534},[1995,1996],[1952,30130,30132],{"className":30131},[2165],[1952,30133,30135,30161],{"className":30134},[2169,2170],[1952,30136,30138,30158],{"className":30137},[2174],[1952,30139,30141],{"className":30140,"style":2623},[2178],[1952,30142,30143,30146],{"style":25549},[1952,30144],{"className":30145,"style":2187},[2186],[1952,30147,30149],{"className":30148},[2191,2192,2193,2194],[1952,30150,30152,30155],{"className":30151},[1995,2194],[1952,30153,2297],{"className":30154,"style":2387},[1995,1996,2194],[1952,30156,25495],{"className":30157,"style":2387},[1995,1996,2194],[1952,30159,2202],{"className":30160},[2201],[1952,30162,30164],{"className":30163},[2174],[1952,30165,30167],{"className":30166,"style":2209},[2178],[1952,30168],{},[1952,30170],{"className":30171,"style":2057},[2056],[1952,30173,2017],{"className":30174},[2061],[1952,30176],{"className":30177,"style":2057},[2056],[1952,30179,30181,30184,30187,30190,30193,30196,30199,30202,30205,30208],{"className":30180},[1986],[1952,30182],{"className":30183,"style":2380},[1990],[1952,30185,24379],{"className":30186,"style":24851},[1995,1996],[1952,30188,18209],{"className":30189},[2426],[1952,30191,3489],{"className":30192},[1995,1996],[1952,30194,2303],{"className":30195},[2426],[1952,30197,7800],{"className":30198},[7832],[1952,30200,27365],{"className":30201},[2470],[1952,30203],{"className":30204,"style":2057},[2056],[1952,30206,2017],{"className":30207},[2061],[1952,30209],{"className":30210,"style":2057},[2056],[1952,30212,30214,30218,30221,30224,30303,30306,30309],{"className":30213},[1986],[1952,30215],{"className":30216,"style":30217},[1990],"height:1.836em;vertical-align:-0.686em;",[1952,30219,24379],{"className":30220,"style":24851},[1995,1996],[1952,30222],{"className":30223,"style":2082},[2056],[1952,30225,30227,30234,30297],{"className":30226},[2095],[1952,30228,30230],{"className":30229,"style":27395},[2426,27394],[1952,30231,18209],{"className":30232},[27399,30233],"size2",[1952,30235,30237,30240,30294],{"className":30236},[1995],[1952,30238],{"className":30239},[2426,20422],[1952,30241,30243],{"className":30242},[20202],[1952,30244,30246,30286],{"className":30245},[2169,2170],[1952,30247,30249,30283],{"className":30248},[2174],[1952,30250,30253,30264,30272],{"className":30251,"style":30252},[2178],"height:1.1076em;",[1952,30254,30255,30258],{"style":20438},[1952,30256],{"className":30257,"style":3164},[2186],[1952,30259,30261],{"className":30260},[1995],[1952,30262,2027],{"className":30263},[1995],[1952,30265,30266,30269],{"style":20491},[1952,30267],{"className":30268,"style":3164},[2186],[1952,30270],{"className":30271,"style":20499},[20498],[1952,30273,30274,30277],{"style":20502},[1952,30275],{"className":30276,"style":3164},[2186],[1952,30278,30280],{"className":30279},[1995],[1952,30281,7800],{"className":30282},[7832],[1952,30284,2202],{"className":30285},[2201],[1952,30287,30289],{"className":30288},[2174],[1952,30290,30292],{"className":30291,"style":26289},[2178],[1952,30293],{},[1952,30295],{"className":30296},[2470,20422],[1952,30298,30300],{"className":30299,"style":27395},[2470,27394],[1952,30301,18223],{"className":30302},[27399,30233],[1952,30304],{"className":30305,"style":2057},[2056],[1952,30307,2017],{"className":30308},[2061],[1952,30310],{"className":30311,"style":2057},[2056],[1952,30313,30315,30318,30380,30383,30386],{"className":30314},[1986],[1952,30316],{"className":30317,"style":26231},[1990],[1952,30319,30321,30324,30377],{"className":30320},[1995],[1952,30322],{"className":30323},[2426,20422],[1952,30325,30327],{"className":30326},[20202],[1952,30328,30330,30369],{"className":30329},[2169,2170],[1952,30331,30333,30366],{"className":30332},[2174],[1952,30334,30336,30347,30355],{"className":30335,"style":20843},[2178],[1952,30337,30338,30341],{"style":20438},[1952,30339],{"className":30340,"style":3164},[2186],[1952,30342,30344],{"className":30343},[1995],[1952,30345,2027],{"className":30346},[1995],[1952,30348,30349,30352],{"style":20491},[1952,30350],{"className":30351,"style":3164},[2186],[1952,30353],{"className":30354,"style":20499},[20498],[1952,30356,30357,30360],{"style":20502},[1952,30358],{"className":30359,"style":3164},[2186],[1952,30361,30363],{"className":30362},[1995],[1952,30364,2021],{"className":30365},[1995],[1952,30367,2202],{"className":30368},[2201],[1952,30370,30372],{"className":30371},[2174],[1952,30373,30375],{"className":30374,"style":26289},[2178],[1952,30376],{},[1952,30378],{"className":30379},[2470,20422],[1952,30381],{"className":30382,"style":8948},[2056],[1952,30384,19028],{"className":30385},[5482],[1952,30387],{"className":30388,"style":8948},[2056],[1952,30390,30392,30395,30457,30460,30463],{"className":30391},[1986],[1952,30393],{"className":30394,"style":26231},[1990],[1952,30396,30398,30401,30454],{"className":30397},[1995],[1952,30399],{"className":30400},[2426,20422],[1952,30402,30404],{"className":30403},[20202],[1952,30405,30407,30446],{"className":30406},[2169,2170],[1952,30408,30410,30443],{"className":30409},[2174],[1952,30411,30413,30424,30432],{"className":30412,"style":20843},[2178],[1952,30414,30415,30418],{"style":20438},[1952,30416],{"className":30417,"style":3164},[2186],[1952,30419,30421],{"className":30420},[1995],[1952,30422,26044],{"className":30423},[1995],[1952,30425,30426,30429],{"style":20491},[1952,30427],{"className":30428,"style":3164},[2186],[1952,30430],{"className":30431,"style":20499},[20498],[1952,30433,30434,30437],{"style":20502},[1952,30435],{"className":30436,"style":3164},[2186],[1952,30438,30440],{"className":30439},[1995],[1952,30441,2027],{"className":30442},[1995],[1952,30444,2202],{"className":30445},[2201],[1952,30447,30449],{"className":30448},[2174],[1952,30450,30452],{"className":30451,"style":26289},[2178],[1952,30453],{},[1952,30455],{"className":30456},[2470,20422],[1952,30458],{"className":30459,"style":2057},[2056],[1952,30461,2017],{"className":30462},[2061],[1952,30464],{"className":30465,"style":2057},[2056],[1952,30467,30469,30472],{"className":30468},[1986],[1952,30470],{"className":30471,"style":26231},[1990],[1952,30473,30475,30478,30531],{"className":30474},[1995],[1952,30476],{"className":30477},[2426,20422],[1952,30479,30481],{"className":30480},[20202],[1952,30482,30484,30523],{"className":30483},[2169,2170],[1952,30485,30487,30520],{"className":30486},[2174],[1952,30488,30490,30501,30509],{"className":30489,"style":20843},[2178],[1952,30491,30492,30495],{"style":20438},[1952,30493],{"className":30494,"style":3164},[2186],[1952,30496,30498],{"className":30497},[1995],[1952,30499,26044],{"className":30500},[1995],[1952,30502,30503,30506],{"style":20491},[1952,30504],{"className":30505,"style":3164},[2186],[1952,30507],{"className":30508,"style":20499},[20498],[1952,30510,30511,30514],{"style":20502},[1952,30512],{"className":30513,"style":3164},[2186],[1952,30515,30517],{"className":30516},[1995],[1952,30518,2021],{"className":30519},[1995],[1952,30521,2202],{"className":30522},[2201],[1952,30524,30526],{"className":30525},[2174],[1952,30527,30529],{"className":30528,"style":26289},[2178],[1952,30530],{},[1952,30532],{"className":30533},[2470,20422],[1798,30535,30536],{},"二级价格收益：",[1952,30538,30540],{"className":30539},[3565],[1952,30541,30543,30585],{"className":30542},[1955],[1952,30544,30546],{"className":30545},[1959],[1961,30547,30548],{"xmlns":1963,"display":3574},[1965,30549,30550,30582],{},[1968,30551,30552,30562,30564,30566,30568,30570,30572,30574,30576],{},[2124,30553,30554,30556],{},[1971,30555,25487],{},[1968,30557,30558,30560],{},[1971,30559,25492],{},[1971,30561,25495],{},[2015,30563,2017],{},[1971,30565,24379],{},[2015,30567,18209],{"stretchy":2302},[1971,30569,29796],{},[2015,30571,7803],{},[2015,30573,18223],{"stretchy":2302},[2015,30575,2017],{},[20202,30577,30578,30580],{},[2019,30579,2021],{},[2019,30581,26044],{},[1975,30583,30584],{"encoding":1977},"R_{VP} = E[\\min] = \\frac{1}{3}",[1952,30586,30588,30649,30676],{"className":30587,"ariaHidden":1982},[1981],[1952,30589,30591,30594,30640,30643,30646],{"className":30590},[1986],[1952,30592],{"className":30593,"style":2227},[1990],[1952,30595,30597,30600],{"className":30596},[1995],[1952,30598,25487],{"className":30599,"style":25534},[1995,1996],[1952,30601,30603],{"className":30602},[2165],[1952,30604,30606,30632],{"className":30605},[2169,2170],[1952,30607,30609,30629],{"className":30608},[2174],[1952,30610,30612],{"className":30611,"style":2623},[2178],[1952,30613,30614,30617],{"style":25549},[1952,30615],{"className":30616,"style":2187},[2186],[1952,30618,30620],{"className":30619},[2191,2192,2193,2194],[1952,30621,30623,30626],{"className":30622},[1995,2194],[1952,30624,25492],{"className":30625,"style":8948},[1995,1996,2194],[1952,30627,25495],{"className":30628,"style":2387},[1995,1996,2194],[1952,30630,2202],{"className":30631},[2201],[1952,30633,30635],{"className":30634},[2174],[1952,30636,30638],{"className":30637,"style":2209},[2178],[1952,30639],{},[1952,30641],{"className":30642,"style":2057},[2056],[1952,30644,2017],{"className":30645},[2061],[1952,30647],{"className":30648,"style":2057},[2056],[1952,30650,30652,30655,30658,30661,30664,30667,30670,30673],{"className":30651},[1986],[1952,30653],{"className":30654,"style":2380},[1990],[1952,30656,24379],{"className":30657,"style":24851},[1995,1996],[1952,30659,18209],{"className":30660},[2426],[1952,30662,29796],{"className":30663},[7832],[1952,30665,18223],{"className":30666},[2470],[1952,30668],{"className":30669,"style":2057},[2056],[1952,30671,2017],{"className":30672},[2061],[1952,30674],{"className":30675,"style":2057},[2056],[1952,30677,30679,30682],{"className":30678},[1986],[1952,30680],{"className":30681,"style":26231},[1990],[1952,30683,30685,30688,30741],{"className":30684},[1995],[1952,30686],{"className":30687},[2426,20422],[1952,30689,30691],{"className":30690},[20202],[1952,30692,30694,30733],{"className":30693},[2169,2170],[1952,30695,30697,30730],{"className":30696},[2174],[1952,30698,30700,30711,30719],{"className":30699,"style":20843},[2178],[1952,30701,30702,30705],{"style":20438},[1952,30703],{"className":30704,"style":3164},[2186],[1952,30706,30708],{"className":30707},[1995],[1952,30709,26044],{"className":30710},[1995],[1952,30712,30713,30716],{"style":20491},[1952,30714],{"className":30715,"style":3164},[2186],[1952,30717],{"className":30718,"style":20499},[20498],[1952,30720,30721,30724],{"style":20502},[1952,30722],{"className":30723,"style":3164},[2186],[1952,30725,30727],{"className":30726},[1995],[1952,30728,2021],{"className":30729},[1995],[1952,30731,2202],{"className":30732},[2201],[1952,30734,30736],{"className":30735},[2174],[1952,30737,30739],{"className":30738,"style":26289},[2178],[1952,30740],{},[1952,30742],{"className":30743},[2470,20422],[1798,30745,30746,1946,30749,30993],{},[1850,30747,30748],{},"收入等价",[1952,30750,30752,30794],{"className":30751},[1955],[1952,30753,30755],{"className":30754},[1959],[1961,30756,30757],{"xmlns":1963},[1965,30758,30759,30791],{},[1968,30760,30761,30771,30773,30783,30785],{},[2124,30762,30763,30765],{},[1971,30764,25487],{},[1968,30766,30767,30769],{},[1971,30768,2297],{},[1971,30770,25495],{},[2015,30772,2017],{},[2124,30774,30775,30777],{},[1971,30776,25487],{},[1968,30778,30779,30781],{},[1971,30780,25492],{},[1971,30782,25495],{},[2015,30784,2017],{},[20202,30786,30787,30789],{},[2019,30788,2021],{},[2019,30790,26044],{},[1975,30792,30793],{"encoding":1977},"R_{FP} = R_{VP} = \\frac{1}{3}",[1952,30795,30797,30858,30919],{"className":30796,"ariaHidden":1982},[1981],[1952,30798,30800,30803,30849,30852,30855],{"className":30799},[1986],[1952,30801],{"className":30802,"style":2227},[1990],[1952,30804,30806,30809],{"className":30805},[1995],[1952,30807,25487],{"className":30808,"style":25534},[1995,1996],[1952,30810,30812],{"className":30811},[2165],[1952,30813,30815,30841],{"className":30814},[2169,2170],[1952,30816,30818,30838],{"className":30817},[2174],[1952,30819,30821],{"className":30820,"style":2623},[2178],[1952,30822,30823,30826],{"style":25549},[1952,30824],{"className":30825,"style":2187},[2186],[1952,30827,30829],{"className":30828},[2191,2192,2193,2194],[1952,30830,30832,30835],{"className":30831},[1995,2194],[1952,30833,2297],{"className":30834,"style":2387},[1995,1996,2194],[1952,30836,25495],{"className":30837,"style":2387},[1995,1996,2194],[1952,30839,2202],{"className":30840},[2201],[1952,30842,30844],{"className":30843},[2174],[1952,30845,30847],{"className":30846,"style":2209},[2178],[1952,30848],{},[1952,30850],{"className":30851,"style":2057},[2056],[1952,30853,2017],{"className":30854},[2061],[1952,30856],{"className":30857,"style":2057},[2056],[1952,30859,30861,30864,30910,30913,30916],{"className":30860},[1986],[1952,30862],{"className":30863,"style":2227},[1990],[1952,30865,30867,30870],{"className":30866},[1995],[1952,30868,25487],{"className":30869,"style":25534},[1995,1996],[1952,30871,30873],{"className":30872},[2165],[1952,30874,30876,30902],{"className":30875},[2169,2170],[1952,30877,30879,30899],{"className":30878},[2174],[1952,30880,30882],{"className":30881,"style":2623},[2178],[1952,30883,30884,30887],{"style":25549},[1952,30885],{"className":30886,"style":2187},[2186],[1952,30888,30890],{"className":30889},[2191,2192,2193,2194],[1952,30891,30893,30896],{"className":30892},[1995,2194],[1952,30894,25492],{"className":30895,"style":8948},[1995,1996,2194],[1952,30897,25495],{"className":30898,"style":2387},[1995,1996,2194],[1952,30900,2202],{"className":30901},[2201],[1952,30903,30905],{"className":30904},[2174],[1952,30906,30908],{"className":30907,"style":2209},[2178],[1952,30909],{},[1952,30911],{"className":30912,"style":2057},[2056],[1952,30914,2017],{"className":30915},[2061],[1952,30917],{"className":30918,"style":2057},[2056],[1952,30920,30922,30925],{"className":30921},[1986],[1952,30923],{"className":30924,"style":29704},[1990],[1952,30926,30928,30931,30990],{"className":30927},[1995],[1952,30929],{"className":30930},[2426,20422],[1952,30932,30934],{"className":30933},[20202],[1952,30935,30937,30982],{"className":30936},[2169,2170],[1952,30938,30940,30979],{"className":30939},[2174],[1952,30941,30943,30957,30965],{"className":30942,"style":29723},[2178],[1952,30944,30945,30948],{"style":22813},[1952,30946],{"className":30947,"style":3164},[2186],[1952,30949,30951],{"className":30950},[2191,2192,2193,2194],[1952,30952,30954],{"className":30953},[1995,2194],[1952,30955,26044],{"className":30956},[1995,2194],[1952,30958,30959,30962],{"style":20491},[1952,30960],{"className":30961,"style":3164},[2186],[1952,30963],{"className":30964,"style":20499},[20498],[1952,30966,30967,30970],{"style":22882},[1952,30968],{"className":30969,"style":3164},[2186],[1952,30971,30973],{"className":30972},[2191,2192,2193,2194],[1952,30974,30976],{"className":30975},[1995,2194],[1952,30977,2021],{"className":30978},[1995,2194],[1952,30980,2202],{"className":30981},[2201],[1952,30983,30985],{"className":30984},[2174],[1952,30986,30988],{"className":30987,"style":29769},[2178],[1952,30989],{},[1952,30991],{"className":30992},[2470,20422],"！",[1794,30995,30997],{"id":30996},"五收入等价定理-revenue-equivalence-theorem","五、收入等价定理 (Revenue Equivalence Theorem)",[1866,30999,31001],{"id":31000},"_51-定理陈述","5.1 定理陈述",[1798,31003,31004,1946],{},[1850,31005,31006],{},"收入等价定理 (Myerson 1981)",[1798,31008,31009],{},"在独立私人估值模型下，假设两个拍卖机制满足：",[1877,31011,31012,31015],{},[1808,31013,31014],{},"具有相同的配置规则（同样的类型向量导致同样的赢家）",[1808,31016,31017,31018,31110],{},"对于某个类型（如 ",[1952,31019,31021,31043],{"className":31020},[1955],[1952,31022,31024],{"className":31023},[1959],[1961,31025,31026],{"xmlns":1963},[1965,31027,31028,31040],{},[1968,31029,31030,31036,31038],{},[2124,31031,31032,31034],{},[1971,31033,2128],{},[1971,31035,2013],{},[2015,31037,2017],{},[2019,31039,9173],{},[1975,31041,31042],{"encoding":1977},"\\theta_i = 0",[1952,31044,31046,31101],{"className":31045,"ariaHidden":1982},[1981],[1952,31047,31049,31052,31092,31095,31098],{"className":31048},[1986],[1952,31050],{"className":31051,"style":2154},[1990],[1952,31053,31055,31058],{"className":31054},[1995],[1952,31056,2128],{"className":31057,"style":2161},[1995,1996],[1952,31059,31061],{"className":31060},[2165],[1952,31062,31064,31084],{"className":31063},[2169,2170],[1952,31065,31067,31081],{"className":31066},[2174],[1952,31068,31070],{"className":31069,"style":2179},[2178],[1952,31071,31072,31075],{"style":2182},[1952,31073],{"className":31074,"style":2187},[2186],[1952,31076,31078],{"className":31077},[2191,2192,2193,2194],[1952,31079,2013],{"className":31080},[1995,1996,2194],[1952,31082,2202],{"className":31083},[2201],[1952,31085,31087],{"className":31086},[2174],[1952,31088,31090],{"className":31089,"style":2209},[2178],[1952,31091],{},[1952,31093],{"className":31094,"style":2057},[2056],[1952,31096,2017],{"className":31097},[2061],[1952,31099],{"className":31100,"style":2057},[2056],[1952,31102,31104,31107],{"className":31103},[1986],[1952,31105],{"className":31106,"style":9241},[1990],[1952,31108,9173],{"className":31109},[1995],"），参与者的期望效用相同",[1798,31112,31113,31114,31117],{},"则这两个机制给卖家带来的",[1850,31115,31116],{},"期望收益相同","，且所有类型的参与者的期望效用相同。",[1866,31119,31121],{"id":31120},"_52-证明思路","5.2 证明思路",[1798,31123,31124,31127,31128,31156],{},[1850,31125,31126],{},"关键引理","：在任何激励相容机制中，参与者 ",[1952,31129,31131,31144],{"className":31130},[1955],[1952,31132,31134],{"className":31133},[1959],[1961,31135,31136],{"xmlns":1963},[1965,31137,31138,31142],{},[1968,31139,31140],{},[1971,31141,2013],{},[1975,31143,2013],{"encoding":1977},[1952,31145,31147],{"className":31146,"ariaHidden":1982},[1981],[1952,31148,31150,31153],{"className":31149},[1986],[1952,31151],{"className":31152,"style":2049},[1990],[1952,31154,2013],{"className":31155},[1995,1996]," 的期望效用满足：",[1952,31158,31160],{"className":31159},[3565],[1952,31161,31163,31235],{"className":31162},[1955],[1952,31164,31166],{"className":31165},[1959],[1961,31167,31168],{"xmlns":1963,"display":3574},[1965,31169,31170,31232],{},[1968,31171,31172,31178,31180,31186,31188,31190,31196,31198,31200,31202,31204,31216,31222,31224,31226,31228,31230],{},[2124,31173,31174,31176],{},[1971,31175,13221],{},[1971,31177,2013],{},[2015,31179,2303],{"stretchy":2302},[2124,31181,31182,31184],{},[1971,31183,2128],{},[1971,31185,2013],{},[2015,31187,2312],{"stretchy":2302},[2015,31189,2017],{},[2124,31191,31192,31194],{},[1971,31193,13221],{},[1971,31195,2013],{},[2015,31197,2303],{"stretchy":2302},[2019,31199,9173],{},[2015,31201,2312],{"stretchy":2302},[2015,31203,13680],{},[6085,31205,31206,31208,31210],{},[2015,31207,23860],{},[2019,31209,9173],{},[2124,31211,31212,31214],{},[1971,31213,2128],{},[1971,31215,2013],{},[2124,31217,31218,31220],{},[1971,31219,25495],{},[1971,31221,2013],{},[2015,31223,2303],{"stretchy":2302},[1971,31225,23881],{},[2015,31227,2312],{"stretchy":2302},[1971,31229,22730],{},[1971,31231,23881],{},[1975,31233,31234],{"encoding":1977},"U_i(\\theta_i) = U_i(0) + \\int_0^{\\theta_i} P_i(s) ds",[1952,31236,31238,31339,31403],{"className":31237,"ariaHidden":1982},[1981],[1952,31239,31241,31244,31284,31287,31327,31330,31333,31336],{"className":31240},[1986],[1952,31242],{"className":31243,"style":2380},[1990],[1952,31245,31247,31250],{"className":31246},[1995],[1952,31248,13221],{"className":31249,"style":1997},[1995,1996],[1952,31251,31253],{"className":31252},[2165],[1952,31254,31256,31276],{"className":31255},[2169,2170],[1952,31257,31259,31273],{"className":31258},[2174],[1952,31260,31262],{"className":31261,"style":2179},[2178],[1952,31263,31264,31267],{"style":13308},[1952,31265],{"className":31266,"style":2187},[2186],[1952,31268,31270],{"className":31269},[2191,2192,2193,2194],[1952,31271,2013],{"className":31272},[1995,1996,2194],[1952,31274,2202],{"className":31275},[2201],[1952,31277,31279],{"className":31278},[2174],[1952,31280,31282],{"className":31281,"style":2209},[2178],[1952,31283],{},[1952,31285,2303],{"className":31286},[2426],[1952,31288,31290,31293],{"className":31289},[1995],[1952,31291,2128],{"className":31292,"style":2161},[1995,1996],[1952,31294,31296],{"className":31295},[2165],[1952,31297,31299,31319],{"className":31298},[2169,2170],[1952,31300,31302,31316],{"className":31301},[2174],[1952,31303,31305],{"className":31304,"style":2179},[2178],[1952,31306,31307,31310],{"style":2182},[1952,31308],{"className":31309,"style":2187},[2186],[1952,31311,31313],{"className":31312},[2191,2192,2193,2194],[1952,31314,2013],{"className":31315},[1995,1996,2194],[1952,31317,2202],{"className":31318},[2201],[1952,31320,31322],{"className":31321},[2174],[1952,31323,31325],{"className":31324,"style":2209},[2178],[1952,31326],{},[1952,31328,2312],{"className":31329},[2470],[1952,31331],{"className":31332,"style":2057},[2056],[1952,31334,2017],{"className":31335},[2061],[1952,31337],{"className":31338,"style":2057},[2056],[1952,31340,31342,31345,31385,31388,31391,31394,31397,31400],{"className":31341},[1986],[1952,31343],{"className":31344,"style":2380},[1990],[1952,31346,31348,31351],{"className":31347},[1995],[1952,31349,13221],{"className":31350,"style":1997},[1995,1996],[1952,31352,31354],{"className":31353},[2165],[1952,31355,31357,31377],{"className":31356},[2169,2170],[1952,31358,31360,31374],{"className":31359},[2174],[1952,31361,31363],{"className":31362,"style":2179},[2178],[1952,31364,31365,31368],{"style":13308},[1952,31366],{"className":31367,"style":2187},[2186],[1952,31369,31371],{"className":31370},[2191,2192,2193,2194],[1952,31372,2013],{"className":31373},[1995,1996,2194],[1952,31375,2202],{"className":31376},[2201],[1952,31378,31380],{"className":31379},[2174],[1952,31381,31383],{"className":31382,"style":2209},[2178],[1952,31384],{},[1952,31386,2303],{"className":31387},[2426],[1952,31389,9173],{"className":31390},[1995],[1952,31392,2312],{"className":31393},[2470],[1952,31395],{"className":31396,"style":8948},[2056],[1952,31398,13680],{"className":31399},[5482],[1952,31401],{"className":31402,"style":8948},[2056],[1952,31404,31406,31409,31500,31503,31543,31546,31549,31552,31555],{"className":31405},[1986],[1952,31407],{"className":31408,"style":24072},[1990],[1952,31410,31412,31415],{"className":31411},[7832],[1952,31413,23860],{"className":31414,"style":24079},[7832,11942,11943],[1952,31416,31418],{"className":31417},[2165],[1952,31419,31421,31492],{"className":31420},[2169,2170],[1952,31422,31424,31489],{"className":31423},[2174],[1952,31425,31427,31438],{"className":31426,"style":24092},[2178],[1952,31428,31429,31432],{"style":24095},[1952,31430],{"className":31431,"style":2187},[2186],[1952,31433,31435],{"className":31434},[2191,2192,2193,2194],[1952,31436,9173],{"className":31437},[1995,2194],[1952,31439,31440,31443],{"style":24107},[1952,31441],{"className":31442,"style":2187},[2186],[1952,31444,31446],{"className":31445},[2191,2192,2193,2194],[1952,31447,31449],{"className":31448},[1995,2194],[1952,31450,31452,31455],{"className":31451},[1995,2194],[1952,31453,2128],{"className":31454,"style":2161},[1995,1996,2194],[1952,31456,31458],{"className":31457},[2165],[1952,31459,31461,31481],{"className":31460},[2169,2170],[1952,31462,31464,31478],{"className":31463},[2174],[1952,31465,31467],{"className":31466,"style":22844},[2178],[1952,31468,31469,31472],{"style":22847},[1952,31470],{"className":31471,"style":22851},[2186],[1952,31473,31475],{"className":31474},[2191,22855,22856,2194],[1952,31476,2013],{"className":31477},[1995,1996,2194],[1952,31479,2202],{"className":31480},[2201],[1952,31482,31484],{"className":31483},[2174],[1952,31485,31487],{"className":31486,"style":22869},[2178],[1952,31488],{},[1952,31490,2202],{"className":31491},[2201],[1952,31493,31495],{"className":31494},[2174],[1952,31496,31498],{"className":31497,"style":24166},[2178],[1952,31499],{},[1952,31501],{"className":31502,"style":2082},[2056],[1952,31504,31506,31509],{"className":31505},[1995],[1952,31507,25495],{"className":31508,"style":2387},[1995,1996],[1952,31510,31512],{"className":31511},[2165],[1952,31513,31515,31535],{"className":31514},[2169,2170],[1952,31516,31518,31532],{"className":31517},[2174],[1952,31519,31521],{"className":31520,"style":2179},[2178],[1952,31522,31523,31526],{"style":2402},[1952,31524],{"className":31525,"style":2187},[2186],[1952,31527,31529],{"className":31528},[2191,2192,2193,2194],[1952,31530,2013],{"className":31531},[1995,1996,2194],[1952,31533,2202],{"className":31534},[2201],[1952,31536,31538],{"className":31537},[2174],[1952,31539,31541],{"className":31540,"style":2209},[2178],[1952,31542],{},[1952,31544,2303],{"className":31545},[2426],[1952,31547,23881],{"className":31548},[1995,1996],[1952,31550,2312],{"className":31551},[2470],[1952,31553,22730],{"className":31554},[1995,1996],[1952,31556,23881],{"className":31557},[1995,1996],[1798,31559,12800,31560,31686,31687,31756],{},[1952,31561,31563,31591],{"className":31562},[1955],[1952,31564,31566],{"className":31565},[1959],[1961,31567,31568],{"xmlns":1963},[1965,31569,31570,31588],{},[1968,31571,31572,31578,31580,31586],{},[2124,31573,31574,31576],{},[1971,31575,25495],{},[1971,31577,2013],{},[2015,31579,2303],{"stretchy":2302},[2124,31581,31582,31584],{},[1971,31583,2128],{},[1971,31585,2013],{},[2015,31587,2312],{"stretchy":2302},[1975,31589,31590],{"encoding":1977},"P_i(\\theta_i)",[1952,31592,31594],{"className":31593,"ariaHidden":1982},[1981],[1952,31595,31597,31600,31640,31643,31683],{"className":31596},[1986],[1952,31598],{"className":31599,"style":2380},[1990],[1952,31601,31603,31606],{"className":31602},[1995],[1952,31604,25495],{"className":31605,"style":2387},[1995,1996],[1952,31607,31609],{"className":31608},[2165],[1952,31610,31612,31632],{"className":31611},[2169,2170],[1952,31613,31615,31629],{"className":31614},[2174],[1952,31616,31618],{"className":31617,"style":2179},[2178],[1952,31619,31620,31623],{"style":2402},[1952,31621],{"className":31622,"style":2187},[2186],[1952,31624,31626],{"className":31625},[2191,2192,2193,2194],[1952,31627,2013],{"className":31628},[1995,1996,2194],[1952,31630,2202],{"className":31631},[2201],[1952,31633,31635],{"className":31634},[2174],[1952,31636,31638],{"className":31637,"style":2209},[2178],[1952,31639],{},[1952,31641,2303],{"className":31642},[2426],[1952,31644,31646,31649],{"className":31645},[1995],[1952,31647,2128],{"className":31648,"style":2161},[1995,1996],[1952,31650,31652],{"className":31651},[2165],[1952,31653,31655,31675],{"className":31654},[2169,2170],[1952,31656,31658,31672],{"className":31657},[2174],[1952,31659,31661],{"className":31660,"style":2179},[2178],[1952,31662,31663,31666],{"style":2182},[1952,31664],{"className":31665,"style":2187},[2186],[1952,31667,31669],{"className":31668},[2191,2192,2193,2194],[1952,31670,2013],{"className":31671},[1995,1996,2194],[1952,31673,2202],{"className":31674},[2201],[1952,31676,31678],{"className":31677},[2174],[1952,31679,31681],{"className":31680,"style":2209},[2178],[1952,31682],{},[1952,31684,2312],{"className":31685},[2470]," 是类型 ",[1952,31688,31690,31707],{"className":31689},[1955],[1952,31691,31693],{"className":31692},[1959],[1961,31694,31695],{"xmlns":1963},[1965,31696,31697,31705],{},[1968,31698,31699],{},[2124,31700,31701,31703],{},[1971,31702,2128],{},[1971,31704,2013],{},[1975,31706,3005],{"encoding":1977},[1952,31708,31710],{"className":31709,"ariaHidden":1982},[1981],[1952,31711,31713,31716],{"className":31712},[1986],[1952,31714],{"className":31715,"style":2154},[1990],[1952,31717,31719,31722],{"className":31718},[1995],[1952,31720,2128],{"className":31721,"style":2161},[1995,1996],[1952,31723,31725],{"className":31724},[2165],[1952,31726,31728,31748],{"className":31727},[2169,2170],[1952,31729,31731,31745],{"className":31730},[2174],[1952,31732,31734],{"className":31733,"style":2179},[2178],[1952,31735,31736,31739],{"style":2182},[1952,31737],{"className":31738,"style":2187},[2186],[1952,31740,31742],{"className":31741},[2191,2192,2193,2194],[1952,31743,2013],{"className":31744},[1995,1996,2194],[1952,31746,2202],{"className":31747},[2201],[1952,31749,31751],{"className":31750},[2174],[1952,31752,31754],{"className":31753,"style":2209},[2178],[1952,31755],{}," 获胜的概率。",[1798,31758,31759,31762,31763,31832,31833,20185],{},[1850,31760,31761],{},"证明引理","：\n激励相容要求（报告 ",[1952,31764,31766,31783],{"className":31765},[1955],[1952,31767,31769],{"className":31768},[1959],[1961,31770,31771],{"xmlns":1963},[1965,31772,31773,31781],{},[1968,31774,31775],{},[2124,31776,31777,31779],{},[1971,31778,2128],{},[1971,31780,2013],{},[1975,31782,3005],{"encoding":1977},[1952,31784,31786],{"className":31785,"ariaHidden":1982},[1981],[1952,31787,31789,31792],{"className":31788},[1986],[1952,31790],{"className":31791,"style":2154},[1990],[1952,31793,31795,31798],{"className":31794},[1995],[1952,31796,2128],{"className":31797,"style":2161},[1995,1996],[1952,31799,31801],{"className":31800},[2165],[1952,31802,31804,31824],{"className":31803},[2169,2170],[1952,31805,31807,31821],{"className":31806},[2174],[1952,31808,31810],{"className":31809,"style":2179},[2178],[1952,31811,31812,31815],{"style":2182},[1952,31813],{"className":31814,"style":2187},[2186],[1952,31816,31818],{"className":31817},[2191,2192,2193,2194],[1952,31819,2013],{"className":31820},[1995,1996,2194],[1952,31822,2202],{"className":31823},[2201],[1952,31825,31827],{"className":31826},[2174],[1952,31828,31830],{"className":31829,"style":2209},[2178],[1952,31831],{}," 时真实类型为 ",[1952,31834,31836,31853],{"className":31835},[1955],[1952,31837,31839],{"className":31838},[1959],[1961,31840,31841],{"xmlns":1963},[1965,31842,31843,31851],{},[1968,31844,31845],{},[2124,31846,31847,31849],{},[1971,31848,2128],{},[1971,31850,2013],{},[1975,31852,3005],{"encoding":1977},[1952,31854,31856],{"className":31855,"ariaHidden":1982},[1981],[1952,31857,31859,31862],{"className":31858},[1986],[1952,31860],{"className":31861,"style":2154},[1990],[1952,31863,31865,31868],{"className":31864},[1995],[1952,31866,2128],{"className":31867,"style":2161},[1995,1996],[1952,31869,31871],{"className":31870},[2165],[1952,31872,31874,31894],{"className":31873},[2169,2170],[1952,31875,31877,31891],{"className":31876},[2174],[1952,31878,31880],{"className":31879,"style":2179},[2178],[1952,31881,31882,31885],{"style":2182},[1952,31883],{"className":31884,"style":2187},[2186],[1952,31886,31888],{"className":31887},[2191,2192,2193,2194],[1952,31889,2013],{"className":31890},[1995,1996,2194],[1952,31892,2202],{"className":31893},[2201],[1952,31895,31897],{"className":31896},[2174],[1952,31898,31900],{"className":31899,"style":2209},[2178],[1952,31901],{},[1952,31903,31905],{"className":31904},[3565],[1952,31906,31908,31966],{"className":31907},[1955],[1952,31909,31911],{"className":31910},[1959],[1961,31912,31913],{"xmlns":1963,"display":3574},[1965,31914,31915,31963],{},[1968,31916,31917,31923,31925,31931,31933,31935,31941,31943,31953,31955,31961],{},[2124,31918,31919,31921],{},[1971,31920,13221],{},[1971,31922,2013],{},[2015,31924,2303],{"stretchy":2302},[2124,31926,31927,31929],{},[1971,31928,2128],{},[1971,31930,2013],{},[2015,31932,2312],{"stretchy":2302},[2015,31934,3624],{},[2124,31936,31937,31939],{},[1971,31938,13221],{},[1971,31940,2013],{},[2015,31942,2303],{"stretchy":2302},[2124,31944,31945,31951],{},[3119,31946,31947,31949],{"accent":1982},[1971,31948,2128],{},[2015,31950,3125],{},[1971,31952,2013],{},[1971,31954,19557],{"mathvariant":2138},[2124,31956,31957,31959],{},[1971,31958,2128],{},[1971,31960,2013],{},[2015,31962,2312],{"stretchy":2302},[1975,31964,31965],{"encoding":1977},"U_i(\\theta_i) \\geq U_i(\\hat{\\theta}_i | \\theta_i)",[1952,31967,31969,32070],{"className":31968,"ariaHidden":1982},[1981],[1952,31970,31972,31975,32015,32018,32058,32061,32064,32067],{"className":31971},[1986],[1952,31973],{"className":31974,"style":2380},[1990],[1952,31976,31978,31981],{"className":31977},[1995],[1952,31979,13221],{"className":31980,"style":1997},[1995,1996],[1952,31982,31984],{"className":31983},[2165],[1952,31985,31987,32007],{"className":31986},[2169,2170],[1952,31988,31990,32004],{"className":31989},[2174],[1952,31991,31993],{"className":31992,"style":2179},[2178],[1952,31994,31995,31998],{"style":13308},[1952,31996],{"className":31997,"style":2187},[2186],[1952,31999,32001],{"className":32000},[2191,2192,2193,2194],[1952,32002,2013],{"className":32003},[1995,1996,2194],[1952,32005,2202],{"className":32006},[2201],[1952,32008,32010],{"className":32009},[2174],[1952,32011,32013],{"className":32012,"style":2209},[2178],[1952,32014],{},[1952,32016,2303],{"className":32017},[2426],[1952,32019,32021,32024],{"className":32020},[1995],[1952,32022,2128],{"className":32023,"style":2161},[1995,1996],[1952,32025,32027],{"className":32026},[2165],[1952,32028,32030,32050],{"className":32029},[2169,2170],[1952,32031,32033,32047],{"className":32032},[2174],[1952,32034,32036],{"className":32035,"style":2179},[2178],[1952,32037,32038,32041],{"style":2182},[1952,32039],{"className":32040,"style":2187},[2186],[1952,32042,32044],{"className":32043},[2191,2192,2193,2194],[1952,32045,2013],{"className":32046},[1995,1996,2194],[1952,32048,2202],{"className":32049},[2201],[1952,32051,32053],{"className":32052},[2174],[1952,32054,32056],{"className":32055,"style":2209},[2178],[1952,32057],{},[1952,32059,2312],{"className":32060},[2470],[1952,32062],{"className":32063,"style":2057},[2056],[1952,32065,3624],{"className":32066},[2061],[1952,32068],{"className":32069,"style":2057},[2056],[1952,32071,32073,32076,32116,32119,32187,32190,32230],{"className":32072},[1986],[1952,32074],{"className":32075,"style":3339},[1990],[1952,32077,32079,32082],{"className":32078},[1995],[1952,32080,13221],{"className":32081,"style":1997},[1995,1996],[1952,32083,32085],{"className":32084},[2165],[1952,32086,32088,32108],{"className":32087},[2169,2170],[1952,32089,32091,32105],{"className":32090},[2174],[1952,32092,32094],{"className":32093,"style":2179},[2178],[1952,32095,32096,32099],{"style":13308},[1952,32097],{"className":32098,"style":2187},[2186],[1952,32100,32102],{"className":32101},[2191,2192,2193,2194],[1952,32103,2013],{"className":32104},[1995,1996,2194],[1952,32106,2202],{"className":32107},[2201],[1952,32109,32111],{"className":32110},[2174],[1952,32112,32114],{"className":32113,"style":2209},[2178],[1952,32115],{},[1952,32117,2303],{"className":32118},[2426],[1952,32120,32122,32153],{"className":32121},[1995],[1952,32123,32125],{"className":32124},[1995,3147],[1952,32126,32128],{"className":32127},[2169],[1952,32129,32131],{"className":32130},[2174],[1952,32132,32134,32142],{"className":32133,"style":3157},[2178],[1952,32135,32136,32139],{"style":3160},[1952,32137],{"className":32138,"style":3164},[2186],[1952,32140,2128],{"className":32141,"style":2161},[1995,1996],[1952,32143,32144,32147],{"style":3170},[1952,32145],{"className":32146,"style":3164},[2186],[1952,32148,32150],{"className":32149,"style":3178},[3177],[1952,32151,3125],{"className":32152},[1995],[1952,32154,32156],{"className":32155},[2165],[1952,32157,32159,32179],{"className":32158},[2169,2170],[1952,32160,32162,32176],{"className":32161},[2174],[1952,32163,32165],{"className":32164,"style":2179},[2178],[1952,32166,32167,32170],{"style":2182},[1952,32168],{"className":32169,"style":2187},[2186],[1952,32171,32173],{"className":32172},[2191,2192,2193,2194],[1952,32174,2013],{"className":32175},[1995,1996,2194],[1952,32177,2202],{"className":32178},[2201],[1952,32180,32182],{"className":32181},[2174],[1952,32183,32185],{"className":32184,"style":2209},[2178],[1952,32186],{},[1952,32188,19557],{"className":32189},[1995],[1952,32191,32193,32196],{"className":32192},[1995],[1952,32194,2128],{"className":32195,"style":2161},[1995,1996],[1952,32197,32199],{"className":32198},[2165],[1952,32200,32202,32222],{"className":32201},[2169,2170],[1952,32203,32205,32219],{"className":32204},[2174],[1952,32206,32208],{"className":32207,"style":2179},[2178],[1952,32209,32210,32213],{"style":2182},[1952,32211],{"className":32212,"style":2187},[2186],[1952,32214,32216],{"className":32215},[2191,2192,2193,2194],[1952,32217,2013],{"className":32218},[1995,1996,2194],[1952,32220,2202],{"className":32221},[2201],[1952,32223,32225],{"className":32224},[2174],[1952,32226,32228],{"className":32227,"style":2209},[2178],[1952,32229],{},[1952,32231,2312],{"className":32232},[2470],[1798,32234,32235,32236,3089],{},"对所有 ",[1952,32237,32239,32260],{"className":32238},[1955],[1952,32240,32242],{"className":32241},[1959],[1961,32243,32244],{"xmlns":1963},[1965,32245,32246,32258],{},[1968,32247,32248],{},[2124,32249,32250,32256],{},[3119,32251,32252,32254],{"accent":1982},[1971,32253,2128],{},[2015,32255,3125],{},[1971,32257,2013],{},[1975,32259,3130],{"encoding":1977},[1952,32261,32263],{"className":32262,"ariaHidden":1982},[1981],[1952,32264,32266,32269],{"className":32265},[1986],[1952,32267],{"className":32268,"style":3140},[1990],[1952,32270,32272,32303],{"className":32271},[1995],[1952,32273,32275],{"className":32274},[1995,3147],[1952,32276,32278],{"className":32277},[2169],[1952,32279,32281],{"className":32280},[2174],[1952,32282,32284,32292],{"className":32283,"style":3157},[2178],[1952,32285,32286,32289],{"style":3160},[1952,32287],{"className":32288,"style":3164},[2186],[1952,32290,2128],{"className":32291,"style":2161},[1995,1996],[1952,32293,32294,32297],{"style":3170},[1952,32295],{"className":32296,"style":3164},[2186],[1952,32298,32300],{"className":32299,"style":3178},[3177],[1952,32301,3125],{"className":32302},[1995],[1952,32304,32306],{"className":32305},[2165],[1952,32307,32309,32329],{"className":32308},[2169,2170],[1952,32310,32312,32326],{"className":32311},[2174],[1952,32313,32315],{"className":32314,"style":2179},[2178],[1952,32316,32317,32320],{"style":2182},[1952,32318],{"className":32319,"style":2187},[2186],[1952,32321,32323],{"className":32322},[2191,2192,2193,2194],[1952,32324,2013],{"className":32325},[1995,1996,2194],[1952,32327,2202],{"className":32328},[2201],[1952,32330,32332],{"className":32331},[2174],[1952,32333,32335],{"className":32334,"style":2209},[2178],[1952,32336],{},[1798,32338,32339,32340,1946],{},"对于无穷小的偏离 ",[1952,32341,32343,32378],{"className":32342},[1955],[1952,32344,32346],{"className":32345},[1959],[1961,32347,32348],{"xmlns":1963},[1965,32349,32350,32375],{},[1968,32351,32352,32362,32364,32370,32372],{},[2124,32353,32354,32360],{},[3119,32355,32356,32358],{"accent":1982},[1971,32357,2128],{},[2015,32359,3125],{},[1971,32361,2013],{},[2015,32363,2017],{},[2124,32365,32366,32368],{},[1971,32367,2128],{},[1971,32369,2013],{},[2015,32371,13680],{},[1971,32373,32374],{},"ϵ",[1975,32376,32377],{"encoding":1977},"\\hat{\\theta}_i = \\theta_i + \\epsilon",[1952,32379,32381,32464,32519],{"className":32380,"ariaHidden":1982},[1981],[1952,32382,32384,32387,32455,32458,32461],{"className":32383},[1986],[1952,32385],{"className":32386,"style":3140},[1990],[1952,32388,32390,32421],{"className":32389},[1995],[1952,32391,32393],{"className":32392},[1995,3147],[1952,32394,32396],{"className":32395},[2169],[1952,32397,32399],{"className":32398},[2174],[1952,32400,32402,32410],{"className":32401,"style":3157},[2178],[1952,32403,32404,32407],{"style":3160},[1952,32405],{"className":32406,"style":3164},[2186],[1952,32408,2128],{"className":32409,"style":2161},[1995,1996],[1952,32411,32412,32415],{"style":3170},[1952,32413],{"className":32414,"style":3164},[2186],[1952,32416,32418],{"className":32417,"style":3178},[3177],[1952,32419,3125],{"className":32420},[1995],[1952,32422,32424],{"className":32423},[2165],[1952,32425,32427,32447],{"className":32426},[2169,2170],[1952,32428,32430,32444],{"className":32429},[2174],[1952,32431,32433],{"className":32432,"style":2179},[2178],[1952,32434,32435,32438],{"style":2182},[1952,32436],{"className":32437,"style":2187},[2186],[1952,32439,32441],{"className":32440},[2191,2192,2193,2194],[1952,32442,2013],{"className":32443},[1995,1996,2194],[1952,32445,2202],{"className":32446},[2201],[1952,32448,32450],{"className":32449},[2174],[1952,32451,32453],{"className":32452,"style":2209},[2178],[1952,32454],{},[1952,32456],{"className":32457,"style":2057},[2056],[1952,32459,2017],{"className":32460},[2061],[1952,32462],{"className":32463,"style":2057},[2056],[1952,32465,32467,32470,32510,32513,32516],{"className":32466},[1986],[1952,32468],{"className":32469,"style":2154},[1990],[1952,32471,32473,32476],{"className":32472},[1995],[1952,32474,2128],{"className":32475,"style":2161},[1995,1996],[1952,32477,32479],{"className":32478},[2165],[1952,32480,32482,32502],{"className":32481},[2169,2170],[1952,32483,32485,32499],{"className":32484},[2174],[1952,32486,32488],{"className":32487,"style":2179},[2178],[1952,32489,32490,32493],{"style":2182},[1952,32491],{"className":32492,"style":2187},[2186],[1952,32494,32496],{"className":32495},[2191,2192,2193,2194],[1952,32497,2013],{"className":32498},[1995,1996,2194],[1952,32500,2202],{"className":32501},[2201],[1952,32503,32505],{"className":32504},[2174],[1952,32506,32508],{"className":32507,"style":2209},[2178],[1952,32509],{},[1952,32511],{"className":32512,"style":8948},[2056],[1952,32514,13680],{"className":32515},[5482],[1952,32517],{"className":32518,"style":8948},[2056],[1952,32520,32522,32525],{"className":32521},[1986],[1952,32523],{"className":32524,"style":2980},[1990],[1952,32526,32374],{"className":32527},[1995,1996],[1952,32529,32531],{"className":32530},[3565],[1952,32532,32534,32586],{"className":32533},[1955],[1952,32535,32537],{"className":32536},[1959],[1961,32538,32539],{"xmlns":1963,"display":3574},[1965,32540,32541,32583],{},[1968,32542,32543,32565,32567,32573,32575,32581],{},[20202,32544,32545,32555],{},[1968,32546,32547,32549],{},[1971,32548,22730],{},[2124,32550,32551,32553],{},[1971,32552,13221],{},[1971,32554,2013],{},[1968,32556,32557,32559],{},[1971,32558,22730],{},[2124,32560,32561,32563],{},[1971,32562,2128],{},[1971,32564,2013],{},[2015,32566,2017],{},[2124,32568,32569,32571],{},[1971,32570,25495],{},[1971,32572,2013],{},[2015,32574,2303],{"stretchy":2302},[2124,32576,32577,32579],{},[1971,32578,2128],{},[1971,32580,2013],{},[2015,32582,2312],{"stretchy":2302},[1975,32584,32585],{"encoding":1977},"\\frac{dU_i}{d\\theta_i} = P_i(\\theta_i)",[1952,32587,32589,32746],{"className":32588,"ariaHidden":1982},[1981],[1952,32590,32592,32595,32737,32740,32743],{"className":32591},[1986],[1952,32593],{"className":32594,"style":20415},[1990],[1952,32596,32598,32601,32734],{"className":32597},[1995],[1952,32599],{"className":32600},[2426,20422],[1952,32602,32604],{"className":32603},[20202],[1952,32605,32607,32726],{"className":32606},[2169,2170],[1952,32608,32610,32723],{"className":32609},[2174],[1952,32611,32613,32664,32672],{"className":32612,"style":20435},[2178],[1952,32614,32615,32618],{"style":20438},[1952,32616],{"className":32617,"style":3164},[2186],[1952,32619,32621,32624],{"className":32620},[1995],[1952,32622,22730],{"className":32623},[1995,1996],[1952,32625,32627,32630],{"className":32626},[1995],[1952,32628,2128],{"className":32629,"style":2161},[1995,1996],[1952,32631,32633],{"className":32632},[2165],[1952,32634,32636,32656],{"className":32635},[2169,2170],[1952,32637,32639,32653],{"className":32638},[2174],[1952,32640,32642],{"className":32641,"style":2179},[2178],[1952,32643,32644,32647],{"style":2182},[1952,32645],{"className":32646,"style":2187},[2186],[1952,32648,32650],{"className":32649},[2191,2192,2193,2194],[1952,32651,2013],{"className":32652},[1995,1996,2194],[1952,32654,2202],{"className":32655},[2201],[1952,32657,32659],{"className":32658},[2174],[1952,32660,32662],{"className":32661,"style":2209},[2178],[1952,32663],{},[1952,32665,32666,32669],{"style":20491},[1952,32667],{"className":32668,"style":3164},[2186],[1952,32670],{"className":32671,"style":20499},[20498],[1952,32673,32674,32677],{"style":20502},[1952,32675],{"className":32676,"style":3164},[2186],[1952,32678,32680,32683],{"className":32679},[1995],[1952,32681,22730],{"className":32682},[1995,1996],[1952,32684,32686,32689],{"className":32685},[1995],[1952,32687,13221],{"className":32688,"style":1997},[1995,1996],[1952,32690,32692],{"className":32691},[2165],[1952,32693,32695,32715],{"className":32694},[2169,2170],[1952,32696,32698,32712],{"className":32697},[2174],[1952,32699,32701],{"className":32700,"style":2179},[2178],[1952,32702,32703,32706],{"style":13308},[1952,32704],{"className":32705,"style":2187},[2186],[1952,32707,32709],{"className":32708},[2191,2192,2193,2194],[1952,32710,2013],{"className":32711},[1995,1996,2194],[1952,32713,2202],{"className":32714},[2201],[1952,32716,32718],{"className":32717},[2174],[1952,32719,32721],{"className":32720,"style":2209},[2178],[1952,32722],{},[1952,32724,2202],{"className":32725},[2201],[1952,32727,32729],{"className":32728},[2174],[1952,32730,32732],{"className":32731,"style":20561},[2178],[1952,32733],{},[1952,32735],{"className":32736},[2470,20422],[1952,32738],{"className":32739,"style":2057},[2056],[1952,32741,2017],{"className":32742},[2061],[1952,32744],{"className":32745,"style":2057},[2056],[1952,32747,32749,32752,32792,32795,32835],{"className":32748},[1986],[1952,32750],{"className":32751,"style":2380},[1990],[1952,32753,32755,32758],{"className":32754},[1995],[1952,32756,25495],{"className":32757,"style":2387},[1995,1996],[1952,32759,32761],{"className":32760},[2165],[1952,32762,32764,32784],{"className":32763},[2169,2170],[1952,32765,32767,32781],{"className":32766},[2174],[1952,32768,32770],{"className":32769,"style":2179},[2178],[1952,32771,32772,32775],{"style":2402},[1952,32773],{"className":32774,"style":2187},[2186],[1952,32776,32778],{"className":32777},[2191,2192,2193,2194],[1952,32779,2013],{"className":32780},[1995,1996,2194],[1952,32782,2202],{"className":32783},[2201],[1952,32785,32787],{"className":32786},[2174],[1952,32788,32790],{"className":32789,"style":2209},[2178],[1952,32791],{},[1952,32793,2303],{"className":32794},[2426],[1952,32796,32798,32801],{"className":32797},[1995],[1952,32799,2128],{"className":32800,"style":2161},[1995,1996],[1952,32802,32804],{"className":32803},[2165],[1952,32805,32807,32827],{"className":32806},[2169,2170],[1952,32808,32810,32824],{"className":32809},[2174],[1952,32811,32813],{"className":32812,"style":2179},[2178],[1952,32814,32815,32818],{"style":2182},[1952,32816],{"className":32817,"style":2187},[2186],[1952,32819,32821],{"className":32820},[2191,2192,2193,2194],[1952,32822,2013],{"className":32823},[1995,1996,2194],[1952,32825,2202],{"className":32826},[2201],[1952,32828,32830],{"className":32829},[2174],[1952,32831,32833],{"className":32832,"style":2209},[2178],[1952,32834],{},[1952,32836,2312],{"className":32837},[2470],[1798,32839,13132,32840,3089],{},[1850,32841,32842],{},"包络定理 (Envelope Theorem)",[1798,32844,32845],{},"积分得：",[1952,32847,32849],{"className":32848},[3565],[1952,32850,32852,32923],{"className":32851},[1955],[1952,32853,32855],{"className":32854},[1959],[1961,32856,32857],{"xmlns":1963,"display":3574},[1965,32858,32859,32921],{},[1968,32860,32861,32867,32869,32875,32877,32879,32885,32887,32889,32891,32893,32905,32911,32913,32915,32917,32919],{},[2124,32862,32863,32865],{},[1971,32864,13221],{},[1971,32866,2013],{},[2015,32868,2303],{"stretchy":2302},[2124,32870,32871,32873],{},[1971,32872,2128],{},[1971,32874,2013],{},[2015,32876,2312],{"stretchy":2302},[2015,32878,2017],{},[2124,32880,32881,32883],{},[1971,32882,13221],{},[1971,32884,2013],{},[2015,32886,2303],{"stretchy":2302},[2019,32888,9173],{},[2015,32890,2312],{"stretchy":2302},[2015,32892,13680],{},[6085,32894,32895,32897,32899],{},[2015,32896,23860],{},[2019,32898,9173],{},[2124,32900,32901,32903],{},[1971,32902,2128],{},[1971,32904,2013],{},[2124,32906,32907,32909],{},[1971,32908,25495],{},[1971,32910,2013],{},[2015,32912,2303],{"stretchy":2302},[1971,32914,23881],{},[2015,32916,2312],{"stretchy":2302},[1971,32918,22730],{},[1971,32920,23881],{},[1975,32922,31234],{"encoding":1977},[1952,32924,32926,33027,33091],{"className":32925,"ariaHidden":1982},[1981],[1952,32927,32929,32932,32972,32975,33015,33018,33021,33024],{"className":32928},[1986],[1952,32930],{"className":32931,"style":2380},[1990],[1952,32933,32935,32938],{"className":32934},[1995],[1952,32936,13221],{"className":32937,"style":1997},[1995,1996],[1952,32939,32941],{"className":32940},[2165],[1952,32942,32944,32964],{"className":32943},[2169,2170],[1952,32945,32947,32961],{"className":32946},[2174],[1952,32948,32950],{"className":32949,"style":2179},[2178],[1952,32951,32952,32955],{"style":13308},[1952,32953],{"className":32954,"style":2187},[2186],[1952,32956,32958],{"className":32957},[2191,2192,2193,2194],[1952,32959,2013],{"className":32960},[1995,1996,2194],[1952,32962,2202],{"className":32963},[2201],[1952,32965,32967],{"className":32966},[2174],[1952,32968,32970],{"className":32969,"style":2209},[2178],[1952,32971],{},[1952,32973,2303],{"className":32974},[2426],[1952,32976,32978,32981],{"className":32977},[1995],[1952,32979,2128],{"className":32980,"style":2161},[1995,1996],[1952,32982,32984],{"className":32983},[2165],[1952,32985,32987,33007],{"className":32986},[2169,2170],[1952,32988,32990,33004],{"className":32989},[2174],[1952,32991,32993],{"className":32992,"style":2179},[2178],[1952,32994,32995,32998],{"style":2182},[1952,32996],{"className":32997,"style":2187},[2186],[1952,32999,33001],{"className":33000},[2191,2192,2193,2194],[1952,33002,2013],{"className":33003},[1995,1996,2194],[1952,33005,2202],{"className":33006},[2201],[1952,33008,33010],{"className":33009},[2174],[1952,33011,33013],{"className":33012,"style":2209},[2178],[1952,33014],{},[1952,33016,2312],{"className":33017},[2470],[1952,33019],{"className":33020,"style":2057},[2056],[1952,33022,2017],{"className":33023},[2061],[1952,33025],{"className":33026,"style":2057},[2056],[1952,33028,33030,33033,33073,33076,33079,33082,33085,33088],{"className":33029},[1986],[1952,33031],{"className":33032,"style":2380},[1990],[1952,33034,33036,33039],{"className":33035},[1995],[1952,33037,13221],{"className":33038,"style":1997},[1995,1996],[1952,33040,33042],{"className":33041},[2165],[1952,33043,33045,33065],{"className":33044},[2169,2170],[1952,33046,33048,33062],{"className":33047},[2174],[1952,33049,33051],{"className":33050,"style":2179},[2178],[1952,33052,33053,33056],{"style":13308},[1952,33054],{"className":33055,"style":2187},[2186],[1952,33057,33059],{"className":33058},[2191,2192,2193,2194],[1952,33060,2013],{"className":33061},[1995,1996,2194],[1952,33063,2202],{"className":33064},[2201],[1952,33066,33068],{"className":33067},[2174],[1952,33069,33071],{"className":33070,"style":2209},[2178],[1952,33072],{},[1952,33074,2303],{"className":33075},[2426],[1952,33077,9173],{"className":33078},[1995],[1952,33080,2312],{"className":33081},[2470],[1952,33083],{"className":33084,"style":8948},[2056],[1952,33086,13680],{"className":33087},[5482],[1952,33089],{"className":33090,"style":8948},[2056],[1952,33092,33094,33097,33188,33191,33231,33234,33237,33240,33243],{"className":33093},[1986],[1952,33095],{"className":33096,"style":24072},[1990],[1952,33098,33100,33103],{"className":33099},[7832],[1952,33101,23860],{"className":33102,"style":24079},[7832,11942,11943],[1952,33104,33106],{"className":33105},[2165],[1952,33107,33109,33180],{"className":33108},[2169,2170],[1952,33110,33112,33177],{"className":33111},[2174],[1952,33113,33115,33126],{"className":33114,"style":24092},[2178],[1952,33116,33117,33120],{"style":24095},[1952,33118],{"className":33119,"style":2187},[2186],[1952,33121,33123],{"className":33122},[2191,2192,2193,2194],[1952,33124,9173],{"className":33125},[1995,2194],[1952,33127,33128,33131],{"style":24107},[1952,33129],{"className":33130,"style":2187},[2186],[1952,33132,33134],{"className":33133},[2191,2192,2193,2194],[1952,33135,33137],{"className":33136},[1995,2194],[1952,33138,33140,33143],{"className":33139},[1995,2194],[1952,33141,2128],{"className":33142,"style":2161},[1995,1996,2194],[1952,33144,33146],{"className":33145},[2165],[1952,33147,33149,33169],{"className":33148},[2169,2170],[1952,33150,33152,33166],{"className":33151},[2174],[1952,33153,33155],{"className":33154,"style":22844},[2178],[1952,33156,33157,33160],{"style":22847},[1952,33158],{"className":33159,"style":22851},[2186],[1952,33161,33163],{"className":33162},[2191,22855,22856,2194],[1952,33164,2013],{"className":33165},[1995,1996,2194],[1952,33167,2202],{"className":33168},[2201],[1952,33170,33172],{"className":33171},[2174],[1952,33173,33175],{"className":33174,"style":22869},[2178],[1952,33176],{},[1952,33178,2202],{"className":33179},[2201],[1952,33181,33183],{"className":33182},[2174],[1952,33184,33186],{"className":33185,"style":24166},[2178],[1952,33187],{},[1952,33189],{"className":33190,"style":2082},[2056],[1952,33192,33194,33197],{"className":33193},[1995],[1952,33195,25495],{"className":33196,"style":2387},[1995,1996],[1952,33198,33200],{"className":33199},[2165],[1952,33201,33203,33223],{"className":33202},[2169,2170],[1952,33204,33206,33220],{"className":33205},[2174],[1952,33207,33209],{"className":33208,"style":2179},[2178],[1952,33210,33211,33214],{"style":2402},[1952,33212],{"className":33213,"style":2187},[2186],[1952,33215,33217],{"className":33216},[2191,2192,2193,2194],[1952,33218,2013],{"className":33219},[1995,1996,2194],[1952,33221,2202],{"className":33222},[2201],[1952,33224,33226],{"className":33225},[2174],[1952,33227,33229],{"className":33228,"style":2209},[2178],[1952,33230],{},[1952,33232,2303],{"className":33233},[2426],[1952,33235,23881],{"className":33236},[1995,1996],[1952,33238,2312],{"className":33239},[2470],[1952,33241,22730],{"className":33242},[1995,1996],[1952,33244,23881],{"className":33245},[1995,1996],[1798,33247,33248,1946],{},[1850,33249,33250],{},"收益等价的推导",[1798,33252,33253],{},"卖家的期望收益：",[1952,33255,33257],{"className":33256},[3565],[1952,33258,33260,33348],{"className":33259},[1955],[1952,33261,33263],{"className":33262},[1959],[1961,33264,33265],{"xmlns":1963,"display":3574},[1965,33266,33267,33345],{},[1968,33268,33269,33271,33273,33275,33307,33309,33323,33325,33327,33333,33335,33341,33343],{},[1971,33270,25487],{},[2015,33272,2017],{},[1971,33274,24379],{},[1968,33276,33277,33279,33293,33299,33301,33303,33305],{},[2015,33278,18209],{"fence":1982},[11727,33280,33281,33283,33291],{},[2015,33282,11731],{},[1968,33284,33285,33287,33289],{},[1971,33286,2013],{},[2015,33288,2017],{},[2019,33290,2021],{},[1971,33292,1973],{},[2124,33294,33295,33297],{},[1971,33296,12116],{},[1971,33298,2013],{},[2015,33300,2303],{"stretchy":2302},[1971,33302,2128],{},[2015,33304,2312],{"stretchy":2302},[2015,33306,18223],{"fence":1982},[2015,33308,2017],{},[11727,33310,33311,33313,33321],{},[2015,33312,11731],{},[1968,33314,33315,33317,33319],{},[1971,33316,2013],{},[2015,33318,2017],{},[2019,33320,2021],{},[1971,33322,1973],{},[1971,33324,24379],{},[2015,33326,18209],{"stretchy":2302},[2124,33328,33329,33331],{},[1971,33330,12116],{},[1971,33332,2013],{},[2015,33334,2303],{"stretchy":2302},[2124,33336,33337,33339],{},[1971,33338,2128],{},[1971,33340,2013],{},[2015,33342,2312],{"stretchy":2302},[2015,33344,18223],{"stretchy":2302},[1975,33346,33347],{"encoding":1977},"R = E\\left[\\sum_{i=1}^N t_i(\\theta)\\right] = \\sum_{i=1}^N E[t_i(\\theta_i)]",[1952,33349,33351,33369,33524],{"className":33350,"ariaHidden":1982},[1981],[1952,33352,33354,33357,33360,33363,33366],{"className":33353},[1986],[1952,33355],{"className":33356,"style":1991},[1990],[1952,33358,25487],{"className":33359,"style":25534},[1995,1996],[1952,33361],{"className":33362,"style":2057},[2056],[1952,33364,2017],{"className":33365},[2061],[1952,33367],{"className":33368,"style":2057},[2056],[1952,33370,33372,33376,33379,33382,33515,33518,33521],{"className":33371},[1986],[1952,33373],{"className":33374,"style":33375},[1990],"height:3.106em;vertical-align:-1.2777em;",[1952,33377,24379],{"className":33378,"style":24851},[1995,1996],[1952,33380],{"className":33381,"style":2082},[2056],[1952,33383,33385,33392,33457,33460,33500,33503,33506,33509],{"className":33384},[2095],[1952,33386,33388],{"className":33387,"style":27395},[2426,27394],[1952,33389,18209],{"className":33390},[27399,33391],"size4",[1952,33393,33395],{"className":33394},[7832,7833],[1952,33396,33398,33448],{"className":33397},[2169,2170],[1952,33399,33401,33445],{"className":33400},[2174],[1952,33402,33404,33424,33434],{"className":33403,"style":11908},[2178],[1952,33405,33406,33409],{"style":11911},[1952,33407],{"className":33408,"style":11915},[2186],[1952,33410,33412],{"className":33411},[2191,2192,2193,2194],[1952,33413,33415,33418,33421],{"className":33414},[1995,2194],[1952,33416,2013],{"className":33417},[1995,1996,2194],[1952,33419,2017],{"className":33420},[2061,2194],[1952,33422,2021],{"className":33423},[1995,2194],[1952,33425,33426,33429],{"style":11933},[1952,33427],{"className":33428,"style":11915},[2186],[1952,33430,33431],{},[1952,33432,11731],{"className":33433},[7832,11942,11943],[1952,33435,33436,33439],{"style":11946},[1952,33437],{"className":33438,"style":11915},[2186],[1952,33440,33442],{"className":33441},[2191,2192,2193,2194],[1952,33443,1973],{"className":33444,"style":1997},[1995,1996,2194],[1952,33446,2202],{"className":33447},[2201],[1952,33449,33451],{"className":33450},[2174],[1952,33452,33455],{"className":33453,"style":33454},[2178],"height:1.2777em;",[1952,33456],{},[1952,33458],{"className":33459,"style":2082},[2056],[1952,33461,33463,33466],{"className":33462},[1995],[1952,33464,12116],{"className":33465},[1995,1996],[1952,33467,33469],{"className":33468},[2165],[1952,33470,33472,33492],{"className":33471},[2169,2170],[1952,33473,33475,33489],{"className":33474},[2174],[1952,33476,33478],{"className":33477,"style":2179},[2178],[1952,33479,33480,33483],{"style":2248},[1952,33481],{"className":33482,"style":2187},[2186],[1952,33484,33486],{"className":33485},[2191,2192,2193,2194],[1952,33487,2013],{"className":33488},[1995,1996,2194],[1952,33490,2202],{"className":33491},[2201],[1952,33493,33495],{"className":33494},[2174],[1952,33496,33498],{"className":33497,"style":2209},[2178],[1952,33499],{},[1952,33501,2303],{"className":33502},[2426],[1952,33504,2128],{"className":33505,"style":2161},[1995,1996],[1952,33507,2312],{"className":33508},[2470],[1952,33510,33512],{"className":33511,"style":27395},[2470,27394],[1952,33513,18223],{"className":33514},[27399,33391],[1952,33516],{"className":33517,"style":2057},[2056],[1952,33519,2017],{"className":33520},[2061],[1952,33522],{"className":33523,"style":2057},[2056],[1952,33525,33527,33530,33594,33597,33600,33603,33643,33646,33686],{"className":33526},[1986],[1952,33528],{"className":33529,"style":33375},[1990],[1952,33531,33533],{"className":33532},[7832,7833],[1952,33534,33536,33586],{"className":33535},[2169,2170],[1952,33537,33539,33583],{"className":33538},[2174],[1952,33540,33542,33562,33572],{"className":33541,"style":11908},[2178],[1952,33543,33544,33547],{"style":11911},[1952,33545],{"className":33546,"style":11915},[2186],[1952,33548,33550],{"className":33549},[2191,2192,2193,2194],[1952,33551,33553,33556,33559],{"className":33552},[1995,2194],[1952,33554,2013],{"className":33555},[1995,1996,2194],[1952,33557,2017],{"className":33558},[2061,2194],[1952,33560,2021],{"className":33561},[1995,2194],[1952,33563,33564,33567],{"style":11933},[1952,33565],{"className":33566,"style":11915},[2186],[1952,33568,33569],{},[1952,33570,11731],{"className":33571},[7832,11942,11943],[1952,33573,33574,33577],{"style":11946},[1952,33575],{"className":33576,"style":11915},[2186],[1952,33578,33580],{"className":33579},[2191,2192,2193,2194],[1952,33581,1973],{"className":33582,"style":1997},[1995,1996,2194],[1952,33584,2202],{"className":33585},[2201],[1952,33587,33589],{"className":33588},[2174],[1952,33590,33592],{"className":33591,"style":33454},[2178],[1952,33593],{},[1952,33595],{"className":33596,"style":2082},[2056],[1952,33598,24379],{"className":33599,"style":24851},[1995,1996],[1952,33601,18209],{"className":33602},[2426],[1952,33604,33606,33609],{"className":33605},[1995],[1952,33607,12116],{"className":33608},[1995,1996],[1952,33610,33612],{"className":33611},[2165],[1952,33613,33615,33635],{"className":33614},[2169,2170],[1952,33616,33618,33632],{"className":33617},[2174],[1952,33619,33621],{"className":33620,"style":2179},[2178],[1952,33622,33623,33626],{"style":2248},[1952,33624],{"className":33625,"style":2187},[2186],[1952,33627,33629],{"className":33628},[2191,2192,2193,2194],[1952,33630,2013],{"className":33631},[1995,1996,2194],[1952,33633,2202],{"className":33634},[2201],[1952,33636,33638],{"className":33637},[2174],[1952,33639,33641],{"className":33640,"style":2209},[2178],[1952,33642],{},[1952,33644,2303],{"className":33645},[2426],[1952,33647,33649,33652],{"className":33648},[1995],[1952,33650,2128],{"className":33651,"style":2161},[1995,1996],[1952,33653,33655],{"className":33654},[2165],[1952,33656,33658,33678],{"className":33657},[2169,2170],[1952,33659,33661,33675],{"className":33660},[2174],[1952,33662,33664],{"className":33663,"style":2179},[2178],[1952,33665,33666,33669],{"style":2182},[1952,33667],{"className":33668,"style":2187},[2186],[1952,33670,33672],{"className":33671},[2191,2192,2193,2194],[1952,33673,2013],{"className":33674},[1995,1996,2194],[1952,33676,2202],{"className":33677},[2201],[1952,33679,33681],{"className":33680},[2174],[1952,33682,33684],{"className":33683,"style":2209},[2178],[1952,33685],{},[1952,33687,27365],{"className":33688},[2470],[1798,33690,2781,33691,33719],{},[1952,33692,33694,33707],{"className":33693},[1955],[1952,33695,33697],{"className":33696},[1959],[1961,33698,33699],{"xmlns":1963},[1965,33700,33701,33705],{},[1968,33702,33703],{},[1971,33704,2013],{},[1975,33706,2013],{"encoding":1977},[1952,33708,33710],{"className":33709,"ariaHidden":1982},[1981],[1952,33711,33713,33716],{"className":33712},[1986],[1952,33714],{"className":33715,"style":2049},[1990],[1952,33717,2013],{"className":33718},[1995,1996]," 的期望效用：",[1952,33721,33723],{"className":33722},[3565],[1952,33724,33726,33810],{"className":33725},[1955],[1952,33727,33729],{"className":33728},[1959],[1961,33730,33731],{"xmlns":1963,"display":3574},[1965,33732,33733,33807],{},[1968,33734,33735,33737,33739,33745,33747,33753,33755,33757,33759,33761,33763,33769,33771,33777,33779,33785,33787,33789,33795,33797,33803,33805],{},[1971,33736,24379],{},[2015,33738,18209],{"stretchy":2302},[2124,33740,33741,33743],{},[1971,33742,13221],{},[1971,33744,2013],{},[2015,33746,2303],{"stretchy":2302},[2124,33748,33749,33751],{},[1971,33750,2128],{},[1971,33752,2013],{},[2015,33754,2312],{"stretchy":2302},[2015,33756,18223],{"stretchy":2302},[2015,33758,2017],{},[1971,33760,24379],{},[2015,33762,18209],{"stretchy":2302},[2124,33764,33765,33767],{},[1971,33766,2128],{},[1971,33768,2013],{},[2015,33770,19028],{},[2124,33772,33773,33775],{},[1971,33774,25495],{},[1971,33776,2013],{},[2015,33778,2303],{"stretchy":2302},[2124,33780,33781,33783],{},[1971,33782,2128],{},[1971,33784,2013],{},[2015,33786,2312],{"stretchy":2302},[2015,33788,3607],{},[2124,33790,33791,33793],{},[1971,33792,12116],{},[1971,33794,2013],{},[2015,33796,2303],{"stretchy":2302},[2124,33798,33799,33801],{},[1971,33800,2128],{},[1971,33802,2013],{},[2015,33804,2312],{"stretchy":2302},[2015,33806,18223],{"stretchy":2302},[1975,33808,33809],{"encoding":1977},"E[U_i(\\theta_i)] = E[\\theta_i \\cdot P_i(\\theta_i) - t_i(\\theta_i)]",[1952,33811,33813,33920,33981,34082],{"className":33812,"ariaHidden":1982},[1981],[1952,33814,33816,33819,33822,33825,33865,33868,33908,33911,33914,33917],{"className":33815},[1986],[1952,33817],{"className":33818,"style":2380},[1990],[1952,33820,24379],{"className":33821,"style":24851},[1995,1996],[1952,33823,18209],{"className":33824},[2426],[1952,33826,33828,33831],{"className":33827},[1995],[1952,33829,13221],{"className":33830,"style":1997},[1995,1996],[1952,33832,33834],{"className":33833},[2165],[1952,33835,33837,33857],{"className":33836},[2169,2170],[1952,33838,33840,33854],{"className":33839},[2174],[1952,33841,33843],{"className":33842,"style":2179},[2178],[1952,33844,33845,33848],{"style":13308},[1952,33846],{"className":33847,"style":2187},[2186],[1952,33849,33851],{"className":33850},[2191,2192,2193,2194],[1952,33852,2013],{"className":33853},[1995,1996,2194],[1952,33855,2202],{"className":33856},[2201],[1952,33858,33860],{"className":33859},[2174],[1952,33861,33863],{"className":33862,"style":2209},[2178],[1952,33864],{},[1952,33866,2303],{"className":33867},[2426],[1952,33869,33871,33874],{"className":33870},[1995],[1952,33872,2128],{"className":33873,"style":2161},[1995,1996],[1952,33875,33877],{"className":33876},[2165],[1952,33878,33880,33900],{"className":33879},[2169,2170],[1952,33881,33883,33897],{"className":33882},[2174],[1952,33884,33886],{"className":33885,"style":2179},[2178],[1952,33887,33888,33891],{"style":2182},[1952,33889],{"className":33890,"style":2187},[2186],[1952,33892,33894],{"className":33893},[2191,2192,2193,2194],[1952,33895,2013],{"className":33896},[1995,1996,2194],[1952,33898,2202],{"className":33899},[2201],[1952,33901,33903],{"className":33902},[2174],[1952,33904,33906],{"className":33905,"style":2209},[2178],[1952,33907],{},[1952,33909,27365],{"className":33910},[2470],[1952,33912],{"className":33913,"style":2057},[2056],[1952,33915,2017],{"className":33916},[2061],[1952,33918],{"className":33919,"style":2057},[2056],[1952,33921,33923,33926,33929,33932,33972,33975,33978],{"className":33922},[1986],[1952,33924],{"className":33925,"style":2380},[1990],[1952,33927,24379],{"className":33928,"style":24851},[1995,1996],[1952,33930,18209],{"className":33931},[2426],[1952,33933,33935,33938],{"className":33934},[1995],[1952,33936,2128],{"className":33937,"style":2161},[1995,1996],[1952,33939,33941],{"className":33940},[2165],[1952,33942,33944,33964],{"className":33943},[2169,2170],[1952,33945,33947,33961],{"className":33946},[2174],[1952,33948,33950],{"className":33949,"style":2179},[2178],[1952,33951,33952,33955],{"style":2182},[1952,33953],{"className":33954,"style":2187},[2186],[1952,33956,33958],{"className":33957},[2191,2192,2193,2194],[1952,33959,2013],{"className":33960},[1995,1996,2194],[1952,33962,2202],{"className":33963},[2201],[1952,33965,33967],{"className":33966},[2174],[1952,33968,33970],{"className":33969,"style":2209},[2178],[1952,33971],{},[1952,33973],{"className":33974,"style":8948},[2056],[1952,33976,19028],{"className":33977},[5482],[1952,33979],{"className":33980,"style":8948},[2056],[1952,33982,33984,33987,34027,34030,34070,34073,34076,34079],{"className":33983},[1986],[1952,33985],{"className":33986,"style":2380},[1990],[1952,33988,33990,33993],{"className":33989},[1995],[1952,33991,25495],{"className":33992,"style":2387},[1995,1996],[1952,33994,33996],{"className":33995},[2165],[1952,33997,33999,34019],{"className":33998},[2169,2170],[1952,34000,34002,34016],{"className":34001},[2174],[1952,34003,34005],{"className":34004,"style":2179},[2178],[1952,34006,34007,34010],{"style":2402},[1952,34008],{"className":34009,"style":2187},[2186],[1952,34011,34013],{"className":34012},[2191,2192,2193,2194],[1952,34014,2013],{"className":34015},[1995,1996,2194],[1952,34017,2202],{"className":34018},[2201],[1952,34020,34022],{"className":34021},[2174],[1952,34023,34025],{"className":34024,"style":2209},[2178],[1952,34026],{},[1952,34028,2303],{"className":34029},[2426],[1952,34031,34033,34036],{"className":34032},[1995],[1952,34034,2128],{"className":34035,"style":2161},[1995,1996],[1952,34037,34039],{"className":34038},[2165],[1952,34040,34042,34062],{"className":34041},[2169,2170],[1952,34043,34045,34059],{"className":34044},[2174],[1952,34046,34048],{"className":34047,"style":2179},[2178],[1952,34049,34050,34053],{"style":2182},[1952,34051],{"className":34052,"style":2187},[2186],[1952,34054,34056],{"className":34055},[2191,2192,2193,2194],[1952,34057,2013],{"className":34058},[1995,1996,2194],[1952,34060,2202],{"className":34061},[2201],[1952,34063,34065],{"className":34064},[2174],[1952,34066,34068],{"className":34067,"style":2209},[2178],[1952,34069],{},[1952,34071,2312],{"className":34072},[2470],[1952,34074],{"className":34075,"style":8948},[2056],[1952,34077,3607],{"className":34078},[5482],[1952,34080],{"className":34081,"style":8948},[2056],[1952,34083,34085,34088,34128,34131,34171],{"className":34084},[1986],[1952,34086],{"className":34087,"style":2380},[1990],[1952,34089,34091,34094],{"className":34090},[1995],[1952,34092,12116],{"className":34093},[1995,1996],[1952,34095,34097],{"className":34096},[2165],[1952,34098,34100,34120],{"className":34099},[2169,2170],[1952,34101,34103,34117],{"className":34102},[2174],[1952,34104,34106],{"className":34105,"style":2179},[2178],[1952,34107,34108,34111],{"style":2248},[1952,34109],{"className":34110,"style":2187},[2186],[1952,34112,34114],{"className":34113},[2191,2192,2193,2194],[1952,34115,2013],{"className":34116},[1995,1996,2194],[1952,34118,2202],{"className":34119},[2201],[1952,34121,34123],{"className":34122},[2174],[1952,34124,34126],{"className":34125,"style":2209},[2178],[1952,34127],{},[1952,34129,2303],{"className":34130},[2426],[1952,34132,34134,34137],{"className":34133},[1995],[1952,34135,2128],{"className":34136,"style":2161},[1995,1996],[1952,34138,34140],{"className":34139},[2165],[1952,34141,34143,34163],{"className":34142},[2169,2170],[1952,34144,34146,34160],{"className":34145},[2174],[1952,34147,34149],{"className":34148,"style":2179},[2178],[1952,34150,34151,34154],{"style":2182},[1952,34152],{"className":34153,"style":2187},[2186],[1952,34155,34157],{"className":34156},[2191,2192,2193,2194],[1952,34158,2013],{"className":34159},[1995,1996,2194],[1952,34161,2202],{"className":34162},[2201],[1952,34164,34166],{"className":34165},[2174],[1952,34167,34169],{"className":34168,"style":2209},[2178],[1952,34170],{},[1952,34172,27365],{"className":34173},[2470],[1798,34175,34176],{},"因此：",[1952,34178,34180],{"className":34179},[3565],[1952,34181,34183,34273],{"className":34182},[1955],[1952,34184,34186],{"className":34185},[1959],[1961,34187,34188],{"xmlns":1963,"display":3574},[1965,34189,34190,34270],{},[1968,34191,34192,34194,34196,34202,34204,34210,34212,34214,34216,34218,34220,34226,34228,34234,34236,34242,34244,34246,34248,34250,34252,34258,34260,34266,34268],{},[1971,34193,24379],{},[2015,34195,18209],{"stretchy":2302},[2124,34197,34198,34200],{},[1971,34199,12116],{},[1971,34201,2013],{},[2015,34203,2303],{"stretchy":2302},[2124,34205,34206,34208],{},[1971,34207,2128],{},[1971,34209,2013],{},[2015,34211,2312],{"stretchy":2302},[2015,34213,18223],{"stretchy":2302},[2015,34215,2017],{},[1971,34217,24379],{},[2015,34219,18209],{"stretchy":2302},[2124,34221,34222,34224],{},[1971,34223,2128],{},[1971,34225,2013],{},[2015,34227,19028],{},[2124,34229,34230,34232],{},[1971,34231,25495],{},[1971,34233,2013],{},[2015,34235,2303],{"stretchy":2302},[2124,34237,34238,34240],{},[1971,34239,2128],{},[1971,34241,2013],{},[2015,34243,2312],{"stretchy":2302},[2015,34245,18223],{"stretchy":2302},[2015,34247,3607],{},[1971,34249,24379],{},[2015,34251,18209],{"stretchy":2302},[2124,34253,34254,34256],{},[1971,34255,13221],{},[1971,34257,2013],{},[2015,34259,2303],{"stretchy":2302},[2124,34261,34262,34264],{},[1971,34263,2128],{},[1971,34265,2013],{},[2015,34267,2312],{"stretchy":2302},[2015,34269,18223],{"stretchy":2302},[1975,34271,34272],{"encoding":1977},"E[t_i(\\theta_i)] = E[\\theta_i \\cdot P_i(\\theta_i)] - E[U_i(\\theta_i)]",[1952,34274,34276,34383,34444,34545],{"className":34275,"ariaHidden":1982},[1981],[1952,34277,34279,34282,34285,34288,34328,34331,34371,34374,34377,34380],{"className":34278},[1986],[1952,34280],{"className":34281,"style":2380},[1990],[1952,34283,24379],{"className":34284,"style":24851},[1995,1996],[1952,34286,18209],{"className":34287},[2426],[1952,34289,34291,34294],{"className":34290},[1995],[1952,34292,12116],{"className":34293},[1995,1996],[1952,34295,34297],{"className":34296},[2165],[1952,34298,34300,34320],{"className":34299},[2169,2170],[1952,34301,34303,34317],{"className":34302},[2174],[1952,34304,34306],{"className":34305,"style":2179},[2178],[1952,34307,34308,34311],{"style":2248},[1952,34309],{"className":34310,"style":2187},[2186],[1952,34312,34314],{"className":34313},[2191,2192,2193,2194],[1952,34315,2013],{"className":34316},[1995,1996,2194],[1952,34318,2202],{"className":34319},[2201],[1952,34321,34323],{"className":34322},[2174],[1952,34324,34326],{"className":34325,"style":2209},[2178],[1952,34327],{},[1952,34329,2303],{"className":34330},[2426],[1952,34332,34334,34337],{"className":34333},[1995],[1952,34335,2128],{"className":34336,"style":2161},[1995,1996],[1952,34338,34340],{"className":34339},[2165],[1952,34341,34343,34363],{"className":34342},[2169,2170],[1952,34344,34346,34360],{"className":34345},[2174],[1952,34347,34349],{"className":34348,"style":2179},[2178],[1952,34350,34351,34354],{"style":2182},[1952,34352],{"className":34353,"style":2187},[2186],[1952,34355,34357],{"className":34356},[2191,2192,2193,2194],[1952,34358,2013],{"className":34359},[1995,1996,2194],[1952,34361,2202],{"className":34362},[2201],[1952,34364,34366],{"className":34365},[2174],[1952,34367,34369],{"className":34368,"style":2209},[2178],[1952,34370],{},[1952,34372,27365],{"className":34373},[2470],[1952,34375],{"className":34376,"style":2057},[2056],[1952,34378,2017],{"className":34379},[2061],[1952,34381],{"className":34382,"style":2057},[2056],[1952,34384,34386,34389,34392,34395,34435,34438,34441],{"className":34385},[1986],[1952,34387],{"className":34388,"style":2380},[1990],[1952,34390,24379],{"className":34391,"style":24851},[1995,1996],[1952,34393,18209],{"className":34394},[2426],[1952,34396,34398,34401],{"className":34397},[1995],[1952,34399,2128],{"className":34400,"style":2161},[1995,1996],[1952,34402,34404],{"className":34403},[2165],[1952,34405,34407,34427],{"className":34406},[2169,2170],[1952,34408,34410,34424],{"className":34409},[2174],[1952,34411,34413],{"className":34412,"style":2179},[2178],[1952,34414,34415,34418],{"style":2182},[1952,34416],{"className":34417,"style":2187},[2186],[1952,34419,34421],{"className":34420},[2191,2192,2193,2194],[1952,34422,2013],{"className":34423},[1995,1996,2194],[1952,34425,2202],{"className":34426},[2201],[1952,34428,34430],{"className":34429},[2174],[1952,34431,34433],{"className":34432,"style":2209},[2178],[1952,34434],{},[1952,34436],{"className":34437,"style":8948},[2056],[1952,34439,19028],{"className":34440},[5482],[1952,34442],{"className":34443,"style":8948},[2056],[1952,34445,34447,34450,34490,34493,34533,34536,34539,34542],{"className":34446},[1986],[1952,34448],{"className":34449,"style":2380},[1990],[1952,34451,34453,34456],{"className":34452},[1995],[1952,34454,25495],{"className":34455,"style":2387},[1995,1996],[1952,34457,34459],{"className":34458},[2165],[1952,34460,34462,34482],{"className":34461},[2169,2170],[1952,34463,34465,34479],{"className":34464},[2174],[1952,34466,34468],{"className":34467,"style":2179},[2178],[1952,34469,34470,34473],{"style":2402},[1952,34471],{"className":34472,"style":2187},[2186],[1952,34474,34476],{"className":34475},[2191,2192,2193,2194],[1952,34477,2013],{"className":34478},[1995,1996,2194],[1952,34480,2202],{"className":34481},[2201],[1952,34483,34485],{"className":34484},[2174],[1952,34486,34488],{"className":34487,"style":2209},[2178],[1952,34489],{},[1952,34491,2303],{"className":34492},[2426],[1952,34494,34496,34499],{"className":34495},[1995],[1952,34497,2128],{"className":34498,"style":2161},[1995,1996],[1952,34500,34502],{"className":34501},[2165],[1952,34503,34505,34525],{"className":34504},[2169,2170],[1952,34506,34508,34522],{"className":34507},[2174],[1952,34509,34511],{"className":34510,"style":2179},[2178],[1952,34512,34513,34516],{"style":2182},[1952,34514],{"className":34515,"style":2187},[2186],[1952,34517,34519],{"className":34518},[2191,2192,2193,2194],[1952,34520,2013],{"className":34521},[1995,1996,2194],[1952,34523,2202],{"className":34524},[2201],[1952,34526,34528],{"className":34527},[2174],[1952,34529,34531],{"className":34530,"style":2209},[2178],[1952,34532],{},[1952,34534,27365],{"className":34535},[2470],[1952,34537],{"className":34538,"style":8948},[2056],[1952,34540,3607],{"className":34541},[5482],[1952,34543],{"className":34544,"style":8948},[2056],[1952,34546,34548,34551,34554,34557,34597,34600,34640],{"className":34547},[1986],[1952,34549],{"className":34550,"style":2380},[1990],[1952,34552,24379],{"className":34553,"style":24851},[1995,1996],[1952,34555,18209],{"className":34556},[2426],[1952,34558,34560,34563],{"className":34559},[1995],[1952,34561,13221],{"className":34562,"style":1997},[1995,1996],[1952,34564,34566],{"className":34565},[2165],[1952,34567,34569,34589],{"className":34568},[2169,2170],[1952,34570,34572,34586],{"className":34571},[2174],[1952,34573,34575],{"className":34574,"style":2179},[2178],[1952,34576,34577,34580],{"style":13308},[1952,34578],{"className":34579,"style":2187},[2186],[1952,34581,34583],{"className":34582},[2191,2192,2193,2194],[1952,34584,2013],{"className":34585},[1995,1996,2194],[1952,34587,2202],{"className":34588},[2201],[1952,34590,34592],{"className":34591},[2174],[1952,34593,34595],{"className":34594,"style":2209},[2178],[1952,34596],{},[1952,34598,2303],{"className":34599},[2426],[1952,34601,34603,34606],{"className":34602},[1995],[1952,34604,2128],{"className":34605,"style":2161},[1995,1996],[1952,34607,34609],{"className":34608},[2165],[1952,34610,34612,34632],{"className":34611},[2169,2170],[1952,34613,34615,34629],{"className":34614},[2174],[1952,34616,34618],{"className":34617,"style":2179},[2178],[1952,34619,34620,34623],{"style":2182},[1952,34621],{"className":34622,"style":2187},[2186],[1952,34624,34626],{"className":34625},[2191,2192,2193,2194],[1952,34627,2013],{"className":34628},[1995,1996,2194],[1952,34630,2202],{"className":34631},[2201],[1952,34633,34635],{"className":34634},[2174],[1952,34636,34638],{"className":34637,"style":2209},[2178],[1952,34639],{},[1952,34641,27365],{"className":34642},[2470],[1798,34644,13549,34645,1946],{},[1952,34646,34648,34719],{"className":34647},[1955],[1952,34649,34651],{"className":34650},[1959],[1961,34652,34653],{"xmlns":1963},[1965,34654,34655,34717],{},[1968,34656,34657,34663,34665,34671,34673,34675,34681,34683,34685,34687,34689,34701,34707,34709,34711,34713,34715],{},[2124,34658,34659,34661],{},[1971,34660,13221],{},[1971,34662,2013],{},[2015,34664,2303],{"stretchy":2302},[2124,34666,34667,34669],{},[1971,34668,2128],{},[1971,34670,2013],{},[2015,34672,2312],{"stretchy":2302},[2015,34674,2017],{},[2124,34676,34677,34679],{},[1971,34678,13221],{},[1971,34680,2013],{},[2015,34682,2303],{"stretchy":2302},[2019,34684,9173],{},[2015,34686,2312],{"stretchy":2302},[2015,34688,13680],{},[6085,34690,34691,34693,34695],{},[2015,34692,23860],{},[2019,34694,9173],{},[2124,34696,34697,34699],{},[1971,34698,2128],{},[1971,34700,2013],{},[2124,34702,34703,34705],{},[1971,34704,25495],{},[1971,34706,2013],{},[2015,34708,2303],{"stretchy":2302},[1971,34710,23881],{},[2015,34712,2312],{"stretchy":2302},[1971,34714,22730],{},[1971,34716,23881],{},[1975,34718,31234],{"encoding":1977},[1952,34720,34722,34823,34887],{"className":34721,"ariaHidden":1982},[1981],[1952,34723,34725,34728,34768,34771,34811,34814,34817,34820],{"className":34724},[1986],[1952,34726],{"className":34727,"style":2380},[1990],[1952,34729,34731,34734],{"className":34730},[1995],[1952,34732,13221],{"className":34733,"style":1997},[1995,1996],[1952,34735,34737],{"className":34736},[2165],[1952,34738,34740,34760],{"className":34739},[2169,2170],[1952,34741,34743,34757],{"className":34742},[2174],[1952,34744,34746],{"className":34745,"style":2179},[2178],[1952,34747,34748,34751],{"style":13308},[1952,34749],{"className":34750,"style":2187},[2186],[1952,34752,34754],{"className":34753},[2191,2192,2193,2194],[1952,34755,2013],{"className":34756},[1995,1996,2194],[1952,34758,2202],{"className":34759},[2201],[1952,34761,34763],{"className":34762},[2174],[1952,34764,34766],{"className":34765,"style":2209},[2178],[1952,34767],{},[1952,34769,2303],{"className":34770},[2426],[1952,34772,34774,34777],{"className":34773},[1995],[1952,34775,2128],{"className":34776,"style":2161},[1995,1996],[1952,34778,34780],{"className":34779},[2165],[1952,34781,34783,34803],{"className":34782},[2169,2170],[1952,34784,34786,34800],{"className":34785},[2174],[1952,34787,34789],{"className":34788,"style":2179},[2178],[1952,34790,34791,34794],{"style":2182},[1952,34792],{"className":34793,"style":2187},[2186],[1952,34795,34797],{"className":34796},[2191,2192,2193,2194],[1952,34798,2013],{"className":34799},[1995,1996,2194],[1952,34801,2202],{"className":34802},[2201],[1952,34804,34806],{"className":34805},[2174],[1952,34807,34809],{"className":34808,"style":2209},[2178],[1952,34810],{},[1952,34812,2312],{"className":34813},[2470],[1952,34815],{"className":34816,"style":2057},[2056],[1952,34818,2017],{"className":34819},[2061],[1952,34821],{"className":34822,"style":2057},[2056],[1952,34824,34826,34829,34869,34872,34875,34878,34881,34884],{"className":34825},[1986],[1952,34827],{"className":34828,"style":2380},[1990],[1952,34830,34832,34835],{"className":34831},[1995],[1952,34833,13221],{"className":34834,"style":1997},[1995,1996],[1952,34836,34838],{"className":34837},[2165],[1952,34839,34841,34861],{"className":34840},[2169,2170],[195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= U_i(0) + E\\left[\\int_0^{\\theta_i} P_i(s) ds\\right]",[1952,35142,35144,35251,35315],{"className":35143,"ariaHidden":1982},[1981],[1952,35145,35147,35150,35153,35156,35196,35199,35239,35242,35245,35248],{"className":35146},[1986],[1952,35148],{"className":35149,"style":2380},[1990],[1952,35151,24379],{"className":35152,"style":24851},[1995,1996],[1952,35154,18209],{"className":35155},[2426],[1952,35157,35159,35162],{"className":35158},[1995],[1952,35160,13221],{"className":35161,"style":1997},[1995,1996],[1952,35163,35165],{"className":35164},[2165],[1952,35166,35168,35188],{"className":35167},[2169,2170],[1952,35169,35171,35185],{"className":35170},[2174],[1952,35172,35174],{"className":35173,"style":2179},[2178],[1952,35175,35176,35179],{"style":13308},[1952,35177],{"className":35178,"style":2187},[2186],[1952,35180,35182],{"className":35181},[2191,2192,2193,2194],[1952,35183,2013],{"className":35184},[1995,1996,2194],[1952,35186,2202],{"className":35187},[2201],[1952,35189,35191],{"className":35190},[2174],[1952,35192,35194],{"className":35193,"style":2209},[2178],[1952,35195],{},[1952,35197,2303],{"className":35198},[2426],[1952,35200,35202,35205],{"className":35201},[1995],[1952,35203,2128],{"className":35204,"style":2161},[1995,1996],[1952,35206,35208],{"className":35207},[2165],[1952,35209,35211,35231],{"className":35210},[2169,2170],[1952,35212,35214,35228],{"className":35213},[2174],[1952,35215,35217],{"className":35216,"style":2179},[2178],[1952,35218,35219,35222],{"style":2182},[1952,35220],{"className":35221,"style":2187},[2186],[1952,35223,35225],{"className":35224},[2191,2192,2193,2194],[1952,35226,2013],{"className":35227},[1995,1996,2194],[1952,35229,2202],{"className":35230},[2201],[1952,35232,35234],{"className":35233},[2174],[1952,35235,35237],{"className":35236,"style":2209},[2178],[1952,35238],{},[1952,35240,27365],{"className":35241},[2470],[1952,35243],{"className":35244,"style":2057},[2056],[1952,35246,2017],{"className":35247},[2061],[1952,35249],{"className":35250,"style":2057},[2056],[1952,35252,35254,35257,35297,35300,35303,35306,35309,35312],{"className":35253},[1986],[1952,35255],{"className":35256,"style":2380},[1990],[1952,35258,35260,35263],{"className":35259},[1995],[1952,35261,13221],{"className":35262,"style":1997},[1995,1996],[1952,35264,35266],{"className":35265},[2165],[1952,35267,35269,35289],{"className":35268},[2169,2170],[1952,35270,35272,35286],{"className":35271},[2174],[1952,35273,35275],{"className":35274,"style":2179},[2178],[1952,35276,35277,35280],{"style":13308},[1952,35278],{"className":35279,"style":2187},[2186],[1952,35281,35283],{"className":35282},[2191,2192,2193,2194],[1952,35284,2013],{"className":35285},[1995,1996,2194],[1952,35287,2202],{"className":35288},[2201],[1952,35290,35292],{"className":35291},[2174],[1952,35293,35295],{"className":35294,"style":2209},[2178],[1952,35296],{},[1952,35298,2303],{"className":35299},[2426],[1952,35301,9173],{"className":35302},[1995],[1952,35304,2312],{"className":35305},[2470],[1952,35307],{"className":35308,"style":8948},[2056],[1952,35310,13680],{"className":35311},[5482],[1952,35313],{"className":35314,"style":8948},[2056],[1952,35316,35318,35322,35325,35328],{"className":35317},[1986],[1952,35319],{"className":35320,"style":35321},[1990],"height:3em;vertical-align:-1.25em;",[1952,35323,24379],{"className":35324,"style":24851},[1995,1996],[1952,35326],{"className":35327,"style":2082},[2056],[1952,35329,35331,35337,35428,35431,35471,35474,35477,35480,35483,35486],{"className":35330},[2095],[1952,35332,35334],{"className":35333,"style":27395},[2426,27394],[1952,35335,18209],{"className":35336},[27399,33391],[1952,35338,35340,35343],{"className":35339},[7832],[1952,35341,23860],{"className":35342,"style":24079},[7832,11942,11943],[1952,35344,35346],{"className":35345},[2165],[1952,35347,35349,35420],{"className":35348},[2169,2170],[1952,35350,35352,35417],{"className":35351},[2174],[1952,35353,35355,35366],{"className":35354,"style":24092},[2178],[1952,35356,35357,35360],{"style":24095},[1952,35358],{"className":35359,"style":2187},[2186],[1952,35361,35363],{"className":35362},[2191,2192,2193,2194],[1952,35364,9173],{"className":35365},[1995,2194],[1952,35367,35368,35371],{"style":24107},[1952,35369],{"className":35370,"style":2187},[2186],[1952,35372,35374],{"className":35373},[2191,2192,2193,2194],[1952,35375,35377],{"className":35376},[1995,2194],[1952,35378,35380,35383],{"className":35379},[1995,2194],[1952,35381,2128],{"className":35382,"style":2161},[1995,1996,2194],[1952,35384,35386],{"className":35385},[2165],[1952,35387,35389,35409],{"className":35388},[2169,2170],[1952,35390,35392,35406],{"className":35391},[2174],[1952,35393,35395],{"className":35394,"style":22844},[2178],[1952,35396,35397,35400],{"style":22847},[1952,35398],{"className":35399,"style":22851},[2186],[1952,35401,35403],{"className":35402},[2191,22855,22856,2194],[1952,35404,2013],{"className":35405},[1995,1996,2194],[1952,35407,2202],{"className":35408},[2201],[1952,35410,3541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= E[\\theta_i \\cdot P_i(\\theta_i)] - U_i(0) - E\\left[\\int_0^{\\theta_i} P_i(s) ds\\right]",[1952,35619,35621,35728,35789,35890,35954],{"className":35620,"ariaHidden":1982},[1981],[1952,35622,35624,35627,35630,35633,35673,35676,35716,35719,35722,35725],{"className":35623},[1986],[1952,35625],{"className":35626,"style":2380},[1990],[1952,35628,24379],{"className":35629,"style":24851},[1995,1996],[1952,35631,18209],{"className":35632},[2426],[1952,35634,35636,35639],{"className":35635},[1995],[1952,35637,12116],{"className":35638},[1995,1996],[1952,35640,35642],{"className":35641},[2165],[1952,35643,35645,35665],{"className":35644},[2169,2170],[1952,35646,35648,35662],{"className":35647},[2174],[1952,35649,35651],{"className":35650,"style":2179},[2178],[1952,35652,35653,35656],{"style":2248},[1952,35654],{"className":35655,"style":2187},[2186],[1952,35657,35659],{"className":35658},[2191,2192,2193,2194],[1952,35660,2013],{"className":35661},[1995,1996,2194],[1952,35663,2202],{"className":35664},[2201],[1952,35666,35668],{"className":35667},[2174],[1952,35669,35671],{"className":35670,"style":2209},[2178],[1952,35672],{},[1952,35674,2303],{"className":35675},[2426],[1952,35677,35679,35682],{"className":35678},[1995],[1952,35680,2128],{"className":35681,"style":2161},[1995,1996],[1952,35683,35685],{"className":35684},[2165],[1952,35686,35688,35708],{"className":35687},[2169,2170],[1952,35689,35691,35705],{"className":35690},[2174],[1952,35692,35694],{"className":35693,"style":2179},[2178],[1952,35695,35696,35699],{"style":2182},[1952,35697],{"className":35698,"style":2187},[2186],[1952,35700,35702],{"className":35701},[2191,2192,2193,2194],[1952,35703,2013],{"className":35704},[1995,1996,2194],[1952,35706,2202],{"className":35707},[2201],[1952,35709,35711],{"className":35710},[2174],[1952,35712,35714],{"className":35713,"style":2209},[2178],[1952,35715],{},[1952,35717,27365],{"className":35718},[2470],[1952,35720],{"className":35721,"style":2057},[2056],[1952,35723,2017],{"className":35724},[2061],[1952,35726],{"className":35727,"style":2057},[2056],[1952,35729,35731,35734,35737,35740,35780,35783,35786],{"className":35730},[1986],[1952,35732],{"className":35733,"style":2380},[1990],[1952,35735,24379],{"className":35736,"style":24851},[1995,1996],[1952,35738,18209],{"className":35739},[2426],[1952,35741,35743,35746],{"className":35742},[1995],[1952,35744,2128],{"className":35745,"style":2161},[1995,1996],[1952,35747,35749],{"className":35748},[2165],[1952,35750,35752,35772],{"className":35751},[2169,2170],[1952,35753,35755,35769],{"className":35754},[2174],[1952,35756,35758],{"className":35757,"style":2179},[2178],[1952,35759,35760,35763],{"style":2182},[1952,35761],{"className":35762,"style":2187},[2186],[1952,35764,35766],{"className":35765},[2191,2192,2193,2194],[1952,35767,2013],{"className":35768},[1995,1996,2194],[1952,35770,2202],{"className":35771},[2201],[1952,35773,35775],{"className":35774},[2174],[1952,35776,35778],{"className":35777,"style":2209},[2178],[1952,35779],{},[1952,35781],{"className":35782,"style":8948},[2056],[1952,35784,19028],{"className":35785},[5482],[1952,35787],{"className":35788,"style":8948},[2056],[1952,35790,35792,35795,35835,35838,35878,35881,35884,35887],{"className":35791},[1986],[1952,35793],{"className":35794,"style":2380},[1990],[1952,35796,35798,35801],{"className":35797},[1995],[1952,35799,25495],{"className":35800,"style":2387},[1995,1996],[1952,35802,35804],{"className":35803},[2165],[1952,35805,35807,35827],{"className":35806},[2169,2170],[1952,35808,35810,35824],{"className":35809},[2174],[1952,35811,35813],{"className":35812,"style":2179},[2178],[1952,35814,35815,35818],{"style":2402},[1952,35816],{"className":35817,"style":2187},[2186],[1952,35819,35821],{"className":35820},[2191,2192,2193,2194],[1952,35822,2013],{"className":35823},[1995,1996,2194],[1952,35825,2202],{"className":35826},[2201],[1952,35828,35830],{"className":35829},[2174],[1952,35831,35833],{"className":35832,"style":2209},[2178],[1952,35834],{},[1952,35836,2303],{"className":35837},[2426],[1952,35839,35841,35844],{"className":35840},[1995],[1952,35842,2128],{"className":35843,"style":2161},[1995,1996],[1952,35845,35847],{"className":35846},[2165],[1952,35848,35850,35870],{"className":35849},[2169,2170],[1952,35851,35853,35867],{"className":35852},[2174],[1952,35854,35856],{"className":35855,"style":2179},[2178],[1952,35857,35858,35861],{"style":2182},[1952,35859],{"className":35860,"style":2187},[2186],[1952,35862,35864],{"className":35863},[2191,2192,2193,2194],[1952,35865,2013],{"className":35866},[1995,1996,2194],[1952,35868,2202],{"className":35869},[2201],[1952,35871,35873],{"className":35872},[2174],[1952,35874,35876],{"className":35875,"style":2209},[2178],[1952,35877],{},[1952,35879,27365],{"className":35880},[2470],[1952,35882],{"className":35883,"style":8948},[2056],[1952,35885,3607],{"className":35886},[5482],[1952,35888],{"className":35889,"style":8948},[2056],[1952,35891,35893,35896,35936,35939,35942,35945,35948,35951],{"className":35892},[1986],[1952,35894],{"className":35895,"style":2380},[1990],[1952,35897,35899,35902],{"className":35898},[1995],[1952,35900,13221],{"className":35901,"style":1997},[1995,1996],[1952,35903,35905],{"className":35904},[2165],[1952,35906,35908,35928],{"className":35907},[2169,2170],[1952,35909,35911,35925],{"className":35910},[2174],[1952,35912,35914],{"className":35913,"style":2179},[2178],[1952,35915,35916,35919],{"style":13308},[1952,35917],{"className":35918,"style":2187},[2186],[1952,35920,35922],{"className":35921},[2191,2192,2193,2194],[1952,35923,2013],{"className":35924},[1995,1996,2194],[1952,35926,2202],{"className":35927},[2201],[1952,35929,35931],{"className":35930},[2174],[1952,35932,35934],{"className":35933,"style":2209},[2178],[1952,35935],{},[1952,35937,2303],{"className":35938},[2426],[1952,35940,9173],{"className":35941},[1995],[1952,35943,2312],{"className":35944},[2470],[1952,35946],{"className":35947,"style":8948},[2056],[1952,35949,3607],{"className":35950},[5482],[1952,35952],{"className":35953,"style":8948},[2056],[1952,35955,35957,35960,35963,35966],{"className":35956},[1986],[1952,35958],{"className":35959,"style":35321},[1990],[1952,35961,24379],{"className":35962,"style":24851},[1995,1996],[1952,35964],{"className":35965,"style":2082},[2056],[1952,35967,35969,35975,36066,36069,36109,36112,36115,36118,36121,36124],{"className":35968},[2095],[1952,35970,35972],{"className":35971,"style":27395},[2426,27394],[1952,35973,18209],{"className":35974},[27399,33391],[1952,35976,35978,35981],{"className":35977},[7832],[1952,35979,23860],{"className":35980,"style":24079},[7832,11942,11943],[1952,35982,35984],{"className":35983},[2165],[1952,35985,35987,36058],{"className":35986},[2169,2170],[1952,35988,35990,36055],{"className":35989},[2174],[1952,35991,35993,36004],{"className":35992,"style":24092},[2178],[1952,35994,35995,35998],{"style":24095},[1952,35996],{"className":35997,"style":2187},[2186],[1952,35999,36001],{"className":36000},[2191,2192,2193,2194],[1952,36002,9173],{"className":36003},[1995,2194],[1952,36005,36006,36009],{"style":24107},[1952,36007],{"className":36008,"style":2187},[2186],[1952,36010,36012],{"className":36011},[2191,2192,2193,2194],[1952,36013,36015],{"className":36014},[1995,2194],[1952,36016,36018,36021],{"className":36017},[1995,2194],[1952,36019,2128],{"className":36020,"style":2161},[1995,1996,2194],[1952,36022,36024],{"className":36023},[2165],[1952,36025,36027,36047],{"className":36026},[2169,2170],[1952,36028,36030,36044],{"className":36029},[2174],[1952,36031,36033],{"className":36032,"style":22844},[2178],[1952,36034,36035,36038],{"style":22847},[1952,36036],{"className":36037,"style":22851},[2186],[1952,36039,36041],{"className":36040},[2191,22855,22856,2194],[1952,36042,2013],{"className":36043},[1995,1996,2194],[1952,36045,2202],{"className":36046},[2201],[1952,36048,36050],{"className":36049},[2174],[1952,36051,36053],{"className":36052,"style":22869},[2178],[1952,36054],{},[1952,36056,2202],{"className":36057},[2201],[1952,36059,36061],{"className":36060},[2174],[1952,36062,36064],{"className":36063,"style":24166},[2178],[1952,36065],{},[1952,36067],{"className":36068,"style":2082},[2056],[1952,36070,36072,36075],{"className":36071},[1995],[1952,36073,25495],{"className":36074,"style":2387},[1995,1996],[1952,36076,36078],{"className":36077},[2165],[1952,36079,36081,36101],{"className":36080},[2169,2170],[1952,36082,36084,36098],{"className":36083},[2174],[1952,36085,36087],{"className":36086,"style":2179},[2178],[1952,36088,36089,36092],{"style":2402},[1952,36090],{"className":36091,"style":2187},[2186],[1952,36093,36095],{"className":36094},[2191,2192,2193,2194],[1952,36096,2013],{"className":36097},[1995,1996,2194],[1952,36099,2202],{"className":36100},[2201],[1952,36102,36104],{"className":36103},[2174],[1952,36105,36107],{"className":36106,"style":2209},[2178],[1952,36108],{},[1952,36110,2303],{"className":36111},[2426],[1952,36113,23881],{"className":36114},[1995,1996],[1952,36116,2312],{"className":36117},[2470],[1952,36119,22730],{"className":36120},[1995,1996],[1952,36122,23881],{"className":36123},[1995,1996],[1952,36125,36127],{"className":36126,"style":27395},[2470,27394],[1952,36128,18223],{"className":36129},[27399,33391],[1798,36131,36132],{},"使用分部积分：",[1952,36134,36136],{"className":36135},[3565],[1952,36137,36139,36255],{"className":36138},[1955],[1952,36140,36142],{"className":36141},[1959],[1961,36143,36144],{"xmlns":1963,"display":3574},[1965,36145,36146,36252],{},[1968,36147,36148,36150,36184,36186,36188,36190,36196,36202,36204,36210,36212,36214,36216,36218],{},[1971,36149,24379],{},[1968,36151,36152,36154,36166,36172,36174,36176,36178,36180,36182],{},[2015,36153,18209],{"fence":1982},[6085,36155,36156,36158,36160],{},[2015,36157,23860],{},[2019,36159,9173],{},[2124,36161,36162,36164],{},[1971,36163,2128],{},[1971,36165,2013],{},[2124,36167,36168,36170],{},[1971,36169,25495],{},[1971,36171,2013],{},[2015,36173,2303],{"stretchy":2302},[1971,36175,23881],{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P_i(s) ds\\right] = E[\\theta_i P_i(\\theta_i)] - E\\left[\\int_0^{\\theta_i} s dP_i(s)\\right]",[1952,36256,36258,36443,36590],{"className":36257,"ariaHidden":1982},[1981],[1952,36259,36261,36264,36267,36270,36434,36437,36440],{"className":36260},[1986],[1952,36262],{"className":36263,"style":35321},[1990],[1952,36265,24379],{"className":36266,"style":24851},[1995,1996],[1952,36268],{"className":36269,"style":2082},[2056],[1952,36271,36273,36279,36370,36373,36413,36416,36419,36422,36425,36428],{"className":36272},[2095],[1952,36274,36276],{"className":36275,"style":27395},[2426,27394],[1952,36277,18209],{"className":36278},[27399,33391],[1952,36280,36282,36285],{"className":36281},[7832],[1952,36283,23860],{"className":36284,"style":24079},[7832,11942,11943],[1952,36286,36288],{"className":36287},[2165],[1952,36289,36291,36362],{"className":36290},[2169,2170],[1952,36292,36294,36359],{"className":36293},[2174],[1952,36295,36297,36308],{"className":36296,"style":24092},[2178],[1952,36298,36299,36302],{"style":24095},[1952,36300],{"className":36301,"style":2187},[2186],[1952,36303,36305],{"className":36304},[2191,2192,2193,2194],[1952,36306,9173],{"className":36307},[1995,2194],[1952,36309,36310,36313],{"style":24107},[1952,36311],{"className":36312,"style":2187},[2186],[1952,36314,36316],{"className":36315},[2191,2192,2193,2194],[1952,36317,36319],{"className":36318},[1995,2194],[1952,36320,36322,36325],{"className":36321},[1995,2194],[1952,36323,2128],{"className":36324,"style":2161},[1995,1996,2194],[1952,36326,36328],{"className":36327},[2165],[1952,36329,36331,36351],{"className":36330},[2169,2170],[1952,36332,36334,36348],{"className":36333},[2174],[1952,36335,36337],{"className":36336,"style":22844},[2178],[1952,36338,36339,36342],{"style":22847},[1952,36340],{"className":36341,"style":22851},[2186],[1952,36343,36345],{"className":36344},[2191,22855,22856,2194],[1952,36346,2013],{"className":36347},[1995,1996,2194],[1952,36349,2202],{"className":36350},[2201],[1952,36352,36354],{"className":36353},[2174],[1952,36355,36357],{"className":36356,"style":22869},[2178],[1952,36358],{},[1952,36360,2202],{"className":36361},[2201],[1952,36363,36365],{"className":36364},[2174],[1952,36366,36368],{"className":36367,"style":24166},[2178],[1952,36369],{},[1952,36371],{"className":36372,"style":2082},[2056],[1952,36374,36376,36379],{"className":36375},[1995],[1952,36377,25495],{"className":36378,"style":2387},[1995,1996],[1952,36380,36382],{"className":36381},[2165],[1952,36383,36385,36405],{"className":36384},[2169,2170],[1952,36386,36388,36402],{"className":36387},[2174],[1952,36389,36391],{"className":36390,"style":2179},[2178],[1952,36392,36393,36396],{"style":2402},[1952,36394],{"className":36395,"style":2187},[2186],[1952,36397,36399],{"className":36398},[2191,2192,2193,2194],[1952,36400,2013],{"className":36401},[1995,1996,2194],[1952,36403,2202],{"className":36404},[2201],[1952,36406,36408],{"className":36407},[2174],[1952,36409,36411],{"className":36410,"style":2209},[2178],[1952,36412],{},[1952,36414,2303],{"className":36415},[2426],[1952,36417,23881],{"className":36418},[1995,1996],[1952,36420,2312],{"className":36421},[2470],[1952,36423,22730],{"className":36424},[1995,1996],[1952,36426,23881],{"className":36427},[1995,1996],[1952,36429,36431],{"className":36430,"style":27395},[2470,27394],[1952,36432,18223],{"className":36433},[27399,33391],[1952,36435],{"className":36436,"style":2057},[2056],[1952,36438,2017],{"className":36439},[2061],[1952,36441],{"className":36442,"style":2057},[2056],[1952,36444,36446,36449,36452,36455,36495,36535,36538,36578,36581,36584,36587],{"className":36445},[1986],[1952,36447],{"className":36448,"style":2380},[1990],[1952,36450,24379],{"className":36451,"style":24851},[1995,1996],[1952,36453,18209],{"className":36454},[2426],[1952,36456,36458,36461],{"className":36457},[1995],[1952,36459,2128],{"className":36460,"style":2161},[1995,1996],[1952,36462,36464],{"className":36463},[2165],[1952,36465,36467,36487],{"className":36466},[2169,2170],[1952,36468,36470,36484],{"className":36469},[2174],[1952,36471,36473],{"className":36472,"style":2179},[2178],[1952,36474,36475,36478],{"style":2182},[1952,36476],{"className":36477,"style":2187},[2186],[1952,36479,36481],{"className":36480},[2191,2192,2193,2194],[1952,36482,2013],{"className":36483},[1995,1996,2194],[1952,36485,2202],{"className":36486},[2201],[1952,36488,36490],{"className":36489},[2174],[1952,36491,36493],{"className":36492,"style":2209},[2178],[1952,36494],{},[1952,36496,36498,36501],{"className":36497},[1995],[1952,36499,25495],{"className":36500,"style":2387},[1995,1996],[1952,36502,36504],{"className":36503},[2165],[1952,36505,36507,36527],{"className":36506},[2169,2170],[1952,36508,36510,36524],{"className":36509},[2174],[1952,36511,36513],{"className":36512,"style":2179},[2178],[1952,36514,36515,36518],{"style":2402},[1952,36516],{"className":36517,"style":2187},[2186],[1952,36519,36521],{"className":36520},[2191,2192,2193,2194],[1952,36522,2013],{"className":36523},[1995,1996,2194],[1952,36525,2202],{"className":36526},[2201],[1952,36528,36530],{"className":36529},[2174],[1952,36531,36533],{"className":36532,"style":2209},[2178],[1952,36534],{},[1952,36536,2303],{"className":36537},[2426],[1952,36539,36541,36544],{"className":36540},[1995],[1952,36542,2128],{"className":36543,"style":2161},[1995,1996],[1952,36545,36547],{"className":36546},[2165],[1952,36548,36550,36570],{"className":36549},[2169,2170],[1952,36551,36553,36567],{"className":36552},[2174],[1952,36554,36556],{"className":36555,"style":2179},[2178],[1952,36557,36558,36561],{"style":2182},[1952,36559],{"className":36560,"style":2187},[2186],[1952,36562,36564],{"className":36563},[2191,2192,2193,2194],[1952,36565,2013],{"className":36566},[1995,1996,2194],[1952,36568,2202],{"className":36569},[2201],[1952,36571,36573],{"className":36572},[2174],[1952,36574,36576],{"className":36575,"style":2209},[2178],[1952,36577],{},[1952,36579,27365],{"className":36580},[2470],[1952,36582],{"className":36583,"style":8948},[2056],[1952,36585,3607],{"className":36586},[5482],[1952,36588],{"className":36589,"style":8948},[2056],[1952,36591,36593,36596,36599,36602],{"className":36592},[1986],[1952,36594],{"className":36595,"style":35321},[1990],[1952,36597,24379],{"className":36598,"style":24851},[1995,1996],[1952,36600],{"className":36601,"style":2082},[2056],[1952,36603,36605,36611,36702,36705,36708,36711,36751,36754,36757,36760],{"className":36604},[2095],[1952,36606,36608],{"className":36607,"style":27395},[2426,27394],[1952,36609,18209],{"className":36610},[27399,33391],[1952,36612,36614,36617],{"className":36613},[7832],[1952,36615,23860],{"className":36616,"style":24079},[7832,11942,11943],[1952,36618,36620],{"className":36619},[2165],[1952,36621,36623,36694],{"className":36622},[2169,2170],[1952,36624,36626,36691],{"className":36625},[2174],[1952,36627,36629,36640],{"className":36628,"style":24092},[2178],[1952,36630,36631,36634],{"style":24095},[1952,36632],{"className":36633,"style":2187},[2186],[1952,36635,36637],{"className":36636},[2191,2192,2193,2194],[1952,36638,9173],{"className":36639},[1995,2194],[1952,36641,36642,36645],{"style":24107},[1952,36643],{"className":36644,"style":2187},[2186],[1952,36646,36648],{"className":36647},[2191,2192,2193,2194],[1952,36649,36651],{"className":36650},[1995,2194],[1952,36652,36654,36657],{"className":36653},[1995,2194],[1952,36655,2128],{"className":36656,"style":2161},[1995,1996,2194],[1952,36658,36660],{"className":36659},[2165],[1952,36661,36663,36683],{"className":36662},[2169,2170],[1952,36664,36666,36680],{"className":36665},[2174],[1952,36667,36669],{"className":36668,"style":22844},[2178],[1952,36670,36671,36674],{"style":22847},[1952,36672],{"className":36673,"style":22851},[2186],[1952,36675,36677],{"className":36676},[2191,22855,22856,2194],[1952,36678,2013],{"className":36679},[1995,1996,2194],[1952,36681,2202],{"className":36682},[2201],[1952,36684,36686],{"className":36685},[2174],[1952,36687,36689],{"className":36688,"style":22869},[2178],[1952,36690],{},[1952,36692,2202],{"className":36693},[2201],[1952,36695,36697],{"className":36696},[2174],[1952,36698,36700],{"className":36699,"style":24166},[2178],[1952,36701],{},[1952,36703],{"className":36704,"style":2082},[2056],[1952,36706,23881],{"className":36707},[1995,1996],[1952,36709,22730],{"className":36710},[1995,1996],[1952,36712,36714,36717],{"className":36713},[1995],[1952,36715,25495],{"className":36716,"style":2387},[1995,1996],[1952,36718,36720],{"className":36719},[2165],[1952,36721,36723,36743],{"className":36722},[2169,2170],[1952,36724,36726,36740],{"className":36725},[2174],[1952,36727,36729],{"className":36728,"style":2179},[2178],[1952,36730,36731,36734],{"style":2402},[1952,36732],{"className":36733,"style":2187},[2186],[1952,36735,36737],{"className":36736},[2191,2192,2193,2194],[1952,36738,2013],{"className":36739},[1995,1996,2194],[1952,36741,2202],{"className":36742},[2201],[1952,36744,36746],{"className":36745},[2174],[1952,36747,36749],{"className":36748,"style":2209},[2178],[1952,36750],{},[1952,36752,2303],{"className":36753},[2426],[1952,36755,23881],{"className":36756},[1995,1996],[1952,36758,2312],{"className":36759},[2470],[1952,36761,36763],{"className":36762,"style":27395},[2470,27394],[1952,36764,18223],{"className":36765},[27399,33391],[1798,36767,36768],{},"（这需要更仔细的处理，但结论是）",[1952,36770,36772],{"className":36771},[3565],[1952,36773,36775,36907],{"className":36774},[1955],[1952,36776,36778],{"className":36777},[1959],[1961,36779,36780],{"xmlns":1963,"display":3574},[1965,36781,36782,36904],{},[1968,36783,36784,36786,36788,36790,36832,36834,36848],{},[1971,36785,25487],{},[2015,36787,2017],{},[1971,36789,24379],{},[1968,36791,36792,36794,36808,36814,36820,36822,36828,36830],{},[2015,36793,18209],{"fence":1982},[11727,36795,36796,36798,36806],{},[2015,36797,11731],{},[1968,36799,36800,36802,36804],{},[1971,36801,2013],{},[2015,36803,2017],{},[2019,36805,2021],{},[1971,36807,1973],{},[2124,36809,36810,36812],{},[1971,36811,2128],{},[1971,36813,2013],{},[2124,36815,36816,36818],{},[1971,36817,25495],{},[1971,36819,2013],{},[2015,36821,2303],{"stretchy":2302},[2124,36823,36824,36826],{},[1971,36825,2128],{},[1971,36827,2013],{},[2015,36829,2312],{"stretchy":2302},[2015,36831,18223],{"fence":1982},[2015,36833,3607],{},[11727,36835,36836,36838,36846],{},[2015,36837,11731],{},[1968,36839,36840,36842,36844],{},[1971,36841,2013],{},[2015,36843,2017],{},[2019,36845,2021],{},[1971,36847,1973],{},[1968,36849,36850,36852,36858,36860,36862,36864,36866,36868,36902],{},[2015,36851,2303],{"fence":1982},[2124,36853,36854,36856],{},[1971,36855,13221],{},[1971,36857,2013],{},[2015,36859,2303],{"stretchy":2302},[2019,36861,9173],{},[2015,36863,2312],{"stretchy":2302},[2015,36865,13680],{},[1971,36867,24379],{},[1968,36869,36870,36872,36884,36890,36892,36894,36896,36898,36900],{},[2015,36871,18209],{"fence":1982},[6085,36873,36874,36876,36878],{},[2015,36875,23860],{},[2019,36877,9173],{},[2124,36879,36880,36882],{},[1971,36881,2128],{},[1971,36883,2013],{},[2124,36885,36886,36888],{},[1971,36887,25495],{},[1971,36889,2013],{},[2015,36891,2303],{"stretchy":2302},[1971,36893,23881],{},[2015,36895,2312],{"stretchy":2302},[1971,36897,22730],{},[1971,36899,23881],{},[2015,36901,18223],{"fence":1982},[2015,36903,2312],{"fence":1982},[1975,36905,36906],{"encoding":1977},"R = E\\left[\\sum_{i=1}^N \\theta_i P_i(\\theta_i)\\right] - \\sum_{i=1}^N \\left(U_i(0) + E\\left[\\int_0^{\\theta_i} P_i(s) ds\\right]\\right)",[1952,36908,36910,36928,37157],{"className":36909,"ariaHidden":1982},[1981],[1952,36911,36913,36916,36919,36922,36925],{"className":36912},[1986],[1952,36914],{"className":36915,"style":1991},[1990],[1952,36917,25487],{"className":36918,"style":25534},[1995,1996],[1952,36920],{"className":36921,"style":2057},[2056],[1952,36923,2017],{"className":36924},[2061],[1952,36926],{"className":36927,"style":2057},[2056],[1952,36929,36931,36934,36937,36940,37148,37151,37154],{"className":36930},[1986],[1952,36932],{"className":36933,"style":33375},[1990],[1952,36935,24379],{"className":36936,"style":24851},[1995,1996],[1952,36938],{"className":36939,"style":2082},[2056],[1952,36941,36943,36949,37013,37016,37056,37096,37099,37139,37142],{"className":36942},[2095],[1952,36944,36946],{"className":36945,"style":27395},[2426,27394],[1952,36947,18209],{"className":36948},[27399,33391],[1952,36950,36952],{"className":36951},[7832,7833],[1952,36953,36955,37005],{"className":36954},[2169,2170],[1952,36956,36958,37002],{"className":36957},[2174],[1952,36959,36961,36981,36991],{"className":36960,"style":11908},[2178],[1952,36962,36963,36966],{"style":11911},[1952,36964],{"className":36965,"style":11915},[2186],[1952,36967,36969],{"className":36968},[2191,2192,2193,2194],[1952,36970,36972,36975,36978],{"className":36971},[1995,2194],[1952,36973,2013],{"className":36974},[1995,1996,2194],[1952,36976,2017],{"className":36977},[2061,2194],[1952,36979,2021],{"className":36980},[1995,2194],[1952,36982,36983,36986],{"style":11933},[1952,36984],{"className":36985,"style":11915},[2186],[1952,36987,36988],{},[1952,36989,11731],{"className":36990},[7832,11942,11943],[1952,36992,36993,36996],{"style":11946},[1952,36994],{"className":36995,"style":11915},[2186],[1952,36997,36999],{"className":36998},[2191,2192,2193,2194],[1952,37000,1973],{"className":37001,"style":1997},[1995,1996,2194],[1952,37003,2202],{"className":37004},[2201],[1952,37006,37008],{"className":37007},[2174],[1952,37009,37011],{"className":37010,"style":33454},[2178],[1952,37012],{},[1952,37014],{"className":37015,"style":2082},[2056],[1952,37017,37019,37022],{"className":37018},[1995],[1952,37020,2128],{"className":37021,"style":2161},[1995,1996],[1952,37023,37025],{"className":37024},[2165],[1952,37026,37028,37048],{"className":37027},[2169,2170],[1952,37029,37031,37045],{"className":37030},[2174],[1952,37032,37034],{"className":37033,"style":2179},[2178],[1952,37035,37036,37039],{"style":2182},[1952,37037],{"className":37038,"style":2187},[2186],[1952,37040,37042],{"className":37041},[2191,2192,2193,2194],[1952,37043,2013],{"className":37044},[1995,1996,2194],[1952,37046,2202],{"className":37047},[2201],[1952,37049,37051],{"className":37050},[2174],[1952,37052,37054],{"className":37053,"style":2209},[2178],[1952,37055],{},[1952,37057,37059,37062],{"className":37058},[1995],[1952,37060,25495],{"className":37061,"style":2387},[1995,1996],[1952,37063,37065],{"className":37064},[2165],[1952,37066,37068,37088],{"className":37067},[2169,2170],[1952,37069,37071,37085],{"className":37070},[2174],[1952,37072,37074],{"className":37073,"style":2179},[2178],[1952,37075,37076,37079],{"style":2402},[1952,37077],{"className":37078,"style":2187},[2186],[1952,37080,37082],{"className":37081},[2191,2192,2193,2194],[1952,37083,2013],{"className":37084},[1995,1996,2194],[1952,37086,2202],{"className":37087},[2201],[1952,37089,37091],{"className":37090},[2174],[1952,37092,37094],{"className":37093,"style":2209},[2178],[1952,37095],{},[1952,37097,2303],{"className":37098},[2426],[1952,37100,37102,37105],{"className":37101},[1995],[1952,37103,2128],{"className":37104,"style":2161},[1995,1996],[1952,37106,37108],{"className":37107},[2165],[1952,37109,37111,37131],{"className":37110},[2169,2170],[1952,37112,37114,37128],{"className":37113},[2174],[1952,37115,37117],{"className":37116,"style":2179},[2178],[1952,37118,37119,37122],{"style":2182},[1952,37120],{"className":37121,"style":2187},[2186],[1952,37123,37125],{"className":37124},[2191,2192,2193,2194],[1952,37126,2013],{"className":37127},[1995,1996,2194],[1952,37129,2202],{"className":37130},[2201],[1952,37132,37134],{"className":37133},[2174],[1952,37135,37137],{"className":37136,"style":2209},[2178],[1952,37138],{},[1952,37140,2312],{"className":37141},[2470],[1952,37143,37145],{"className":37144,"style":27395},[2470,27394],[1952,37146,18223],{"className":37147},[27399,33391],[1952,37149],{"className":37150,"style":8948},[2056],[1952,37152,3607],{"className":37153},[5482],[1952,37155],{"className":37156,"style":8948},[2056],[1952,37158,37160,37163,37227,37230],{"className":37159},[1986],[1952,37161],{"className":37162,"style":33375},[1990],[1952,37164,37166],{"className":37165},[7832,7833],[1952,37167,37169,37219],{"className":37168},[2169,2170],[1952,37170,37172,37216],{"className":37171},[2174],[1952,37173,37175,37195,37205],{"className":37174,"style":11908},[2178],[1952,37176,37177,37180],{"style":11911},[1952,37178],{"className":37179,"style":11915},[2186],[1952,37181,37183],{"className":37182},[2191,2192,2193,2194],[1952,37184,37186,37189,37192],{"className":37185},[1995,2194],[1952,37187,2013],{"className":37188},[1995,1996,2194],[1952,37190,2017],{"className":37191},[2061,2194],[1952,37193,2021],{"className":37194},[1995,2194],[1952,37196,37197,37200],{"style":11933},[1952,37198],{"className":37199,"style":11915},[2186],[1952,37201,37202],{},[1952,37203,11731],{"className":37204},[7832,11942,11943],[1952,37206,37207,37210],{"style":11946},[1952,37208],{"className":37209,"style":11915},[2186],[1952,37211,37213],{"className":37212},[2191,2192,2193,2194],[1952,37214,1973],{"className":37215,"style":1997},[1995,1996,2194],[1952,37217,2202],{"className":37218},[2201],[1952,37220,37222],{"className":37221},[2174],[1952,37223,37225],{"className":37224,"style":33454},[2178],[1952,37226],{},[1952,37228],{"className":37229,"style":2082},[2056],[1952,37231,37233,37239,37279,37282,37285,37288,37291,37294,37297,37300,37303,37467],{"className":37232},[2095],[1952,37234,37236],{"className":37235,"style":27395},[2426,27394],[1952,37237,2303],{"className":37238},[27399,33391],[1952,37240,37242,37245],{"className":37241},[1995],[1952,37243,13221],{"className":37244,"style":1997},[1995,1996],[1952,37246,37248],{"className":37247},[2165],[1952,37249,37251,37271],{"className":37250},[2169,2170],[1952,37252,37254,37268],{"className":37253},[2174],[1952,37255,37257],{"className":37256,"style":2179},[2178],[1952,37258,37259,37262],{"style":13308},[1952,37260],{"className":37261,"style":2187},[2186],[1952,37263,37265],{"className":37264},[2191,2192,2193,2194],[1952,37266,2013],{"className":37267},[1995,1996,2194],[1952,37269,2202],{"className":37270},[2201],[1952,37272,37274],{"className":37273},[2174],[1952,37275,37277],{"className":37276,"style":2209},[2178],[1952,37278],{},[1952,37280,2303],{"className":37281},[2426],[1952,37283,9173],{"className":37284},[1995],[1952,37286,2312],{"className":37287},[2470],[1952,37289],{"className":37290,"style":8948},[2056],[1952,37292,13680],{"className":37293},[5482],[1952,37295],{"className":37296,"style":8948},[2056],[1952,37298,24379],{"className":37299,"style":24851},[1995,1996],[1952,37301],{"className":37302,"style":2082},[2056],[1952,37304,37306,37312,37403,37406,37446,37449,37452,37455,37458,37461],{"className":37305},[2095],[1952,37307,37309],{"className":37308,"style":27395},[2426,27394],[1952,37310,18209],{"className":37311},[27399,33391],[1952,37313,37315,37318],{"className":37314},[7832],[1952,37316,23860],{"className":37317,"style":24079},[7832,11942,11943],[1952,37319,37321],{"className":37320},[2165],[1952,37322,37324,37395],{"className":37323},[2169,2170],[1952,37325,37327,37392],{"className":37326},[2174],[1952,37328,37330,37341],{"className":37329,"style":24092},[2178],[1952,37331,37332,37335],{"style":24095},[1952,37333],{"className":37334,"style":2187},[2186],[1952,37336,37338],{"className":37337},[2191,2192,2193,2194],[1952,37339,9173],{"className":37340},[1995,2194],[1952,37342,37343,37346],{"style":24107},[1952,37344],{"className":37345,"style":2187},[2186],[1952,37347,37349],{"className":37348},[2191,2192,2193,2194],[1952,37350,37352],{"className":37351},[1995,2194],[1952,37353,37355,37358],{"className":37354},[1995,2194],[1952,37356,2128],{"className":37357,"style":2161},[1995,1996,2194],[1952,37359,37361],{"className":37360},[2165],[1952,37362,37364,37384],{"className":37363},[2169,2170],[1952,37365,37367,37381],{"className":37366},[2174],[1952,37368,37370],{"className":37369,"style":22844},[2178],[1952,37371,37372,37375],{"style":22847},[1952,37373],{"className":37374,"style":22851},[2186],[1952,37376,37378],{"className":37377},[2191,22855,22856,2194],[1952,37379,2013],{"className":37380},[1995,1996,2194],[1952,37382,2202],{"className":37383},[2201],[1952,37385,37387],{"className":37386},[2174],[1952,37388,37390],{"className":37389,"style":22869},[2178],[1952,37391],{},[1952,37393,2202],{"className":37394},[2201],[1952,37396,37398],{"className":37397},[2174],[1952,37399,37401],{"className":37400,"style":24166},[2178],[1952,37402],{},[1952,37404],{"className":37405,"style":2082},[2056],[1952,37407,37409,37412],{"className":37408},[1995],[1952,37410,25495],{"className":37411,"style":2387},[1995,1996],[1952,37413,37415],{"className":37414},[2165],[1952,37416,37418,37438],{"className":37417},[2169,2170],[1952,37419,37421,37435],{"className":37420},[2174],[1952,37422,37424],{"className":37423,"style":2179},[2178],[1952,37425,37426,37429],{"style":2402},[1952,37427],{"className":37428,"style":2187},[2186],[1952,37430,37432],{"className":37431},[2191,2192,2193,2194],[1952,37433,2013],{"className":37434},[1995,1996,2194],[1952,37436,2202],{"className":37437},[2201],[1952,37439,37441],{"className":37440},[2174],[1952,37442,37444],{"className":37443,"style":2209},[2178],[1952,37445],{},[1952,37447,2303],{"className":37448},[2426],[1952,37450,23881],{"className":37451},[1995,1996],[1952,37453,2312],{"className":37454},[2470],[1952,37456,22730],{"className":37457},[1995,1996],[1952,37459,23881],{"className":37460},[1995,1996],[1952,37462,37464],{"className":37463,"style":27395},[2470,27394],[1952,37465,18223],{"className":37466},[27399,33391],[1952,37468,37470],{"className":37469,"style":27395},[2470,27394],[1952,37471,2312],{"className":37472},[27399,33391],[1798,37474,37475,37478,37479,37604,37605,37690],{},[1850,37476,37477],{},"关键","：收益只依赖于 ",[1952,37480,37482,37509],{"className":37481},[1955],[1952,37483,37485],{"className":37484},[1959],[1961,37486,37487],{"xmlns":1963},[1965,37488,37489,37507],{},[1968,37490,37491,37497,37499,37505],{},[2124,37492,37493,37495],{},[1971,37494,25495],{},[1971,37496,2013],{},[2015,37498,2303],{"stretchy":2302},[2124,37500,37501,37503],{},[1971,37502,2128],{},[1971,37504,2013],{},[2015,37506,2312],{"stretchy":2302},[1975,37508,31590],{"encoding":1977},[1952,37510,37512],{"className":37511,"ariaHidden":1982},[1981],[1952,37513,37515,37518,37558,37561,37601],{"className":37514},[1986],[1952,37516],{"className":37517,"style":2380},[1990],[1952,37519,37521,37524],{"className":37520},[1995],[1952,37522,25495],{"className":37523,"style":2387},[1995,1996],[1952,37525,37527],{"className":37526},[2165],[1952,37528,37530,37550],{"className":37529},[2169,2170],[1952,37531,37533,37547],{"className":37532},[2174],[1952,37534,37536],{"className":37535,"style":2179},[2178],[1952,37537,37538,37541],{"style":2402},[1952,37539],{"className":37540,"style":2187},[2186],[1952,37542,37544],{"className":37543},[2191,2192,2193,2194],[1952,37545,2013],{"className":37546},[1995,1996,2194],[1952,37548,2202],{"className":37549},[2201],[1952,37551,37553],{"className":37552},[2174],[1952,37554,37556],{"className":37555,"style":2209},[2178],[1952,37557],{},[1952,37559,2303],{"className":37560},[2426],[1952,37562,37564,37567],{"className":37563},[1995],[1952,37565,2128],{"className":37566,"style":2161},[1995,1996],[1952,37568,37570],{"className":37569},[2165],[1952,37571,37573,37593],{"className":37572},[2169,2170],[1952,37574,37576,37590],{"className":37575},[2174],[1952,37577,37579],{"className":37578,"style":2179},[2178],[1952,37580,37581,37584],{"style":2182},[1952,37582],{"className":37583,"style":2187},[2186],[1952,37585,37587],{"className":37586},[2191,2192,2193,2194],[1952,37588,2013],{"className":37589},[1995,1996,2194],[1952,37591,2202],{"className":37592},[2201],[1952,37594,37596],{"className":37595},[2174],[1952,37597,37599],{"className":37598,"style":2209},[2178],[1952,37600],{},[1952,37602,2312],{"className":37603},[2470],"（配置规则）和 ",[1952,37606,37608,37632],{"className":37607},[1955],[1952,37609,37611],{"className":37610},[1959],[1961,37612,37613],{"xmlns":1963},[1965,37614,37615,37629],{},[1968,37616,37617,37623,37625,37627],{},[2124,37618,37619,37621],{},[1971,37620,13221],{},[1971,37622,2013],{},[2015,37624,2303],{"stretchy":2302},[2019,37626,9173],{},[2015,37628,2312],{"stretchy":2302},[1975,37630,37631],{"encoding":1977},"U_i(0)",[1952,37633,37635],{"className":37634,"ariaHidden":1982},[1981],[1952,37636,37638,37641,37681,37684,37687],{"className":37637},[1986],[1952,37639],{"className":37640,"style":2380},[1990],[1952,37642,37644,37647],{"className":37643},[1995],[1952,37645,13221],{"className":37646,"style":1997},[1995,1996],[1952,37648,37650],{"className":37649},[2165],[1952,37651,37653,37673],{"className":37652},[2169,2170],[1952,37654,37656,37670],{"className":37655},[2174],[1952,37657,37659],{"className":37658,"style":2179},[2178],[1952,37660,37661,37664],{"style":13308},[1952,37662],{"className":37663,"style":2187},[2186],[1952,37665,37667],{"className":37666},[2191,2192,2193,2194],[1952,37668,2013],{"className":37669},[1995,1996,2194],[1952,37671,2202],{"className":37672},[2201],[1952,37674,37676],{"className":37675},[2174],[1952,37677,37679],{"className":37678,"style":2209},[2178],[1952,37680],{},[1952,37682,2303],{"className":37683},[2426],[1952,37685,9173],{"className":37686},[1995],[1952,37688,2312],{"className":37689},[2470],"（最低类型效用）。",[1798,37692,37693,37694,37778],{},"如果两个机制有相同的配置规则和 ",[1952,37695,37697,37720],{"className":37696},[1955],[1952,37698,37700],{"className":37699},[1959],[1961,37701,37702],{"xmlns":1963},[1965,37703,37704,37718],{},[1968,37705,37706,37712,37714,37716],{},[2124,37707,37708,37710],{},[1971,37709,13221],{},[1971,37711,2013],{},[2015,37713,2303],{"stretchy":2302},[2019,37715,9173],{},[2015,37717,2312],{"stretchy":2302},[1975,37719,37631],{"encoding":1977},[1952,37721,37723],{"className":37722,"ariaHidden":1982},[1981],[1952,37724,37726,37729,37769,37772,37775],{"className":37725},[1986],[1952,37727],{"className":37728,"style":2380},[1990],[1952,37730,37732,37735],{"className":37731},[1995],[1952,37733,13221],{"className":37734,"style":1997},[1995,1996],[1952,37736,37738],{"className":37737},[2165],[1952,37739,37741,37761],{"className":37740},[2169,2170],[1952,37742,37744,37758],{"className":37743},[2174],[1952,37745,37747],{"className":37746,"style":2179},[2178],[1952,37748,37749,37752],{"style":13308},[1952,37750],{"className":37751,"style":2187},[2186],[1952,37753,37755],{"className":37754},[2191,2192,2193,2194],[1952,37756,2013],{"className":37757},[1995,1996,2194],[1952,37759,2202],{"className":37760},[2201],[1952,37762,37764],{"className":37763},[2174],[1952,37765,37767],{"className":37766,"style":2209},[2178],[1952,37768],{},[1952,37770,2303],{"className":37771},[2426],[1952,37773,9173],{"className":37774},[1995],[1952,37776,2312],{"className":37777},[2470],"，则期望收益相同。",[1866,37780,37782],{"id":37781},"_53-应用","5.3 应用",[1798,37784,37785],{},"四种标准拍卖都满足：",[1805,37787,37788,37791],{},[1808,37789,37790],{},"物品给最高估值者（相同配置规则）",[1808,37792,37793,37794,8768,37822,11333],{},"最低估值者效用为 ",[1952,37795,37797,37810],{"className":37796},[1955],[1952,37798,37800],{"className":37799},[1959],[1961,37801,37802],{"xmlns":1963},[1965,37803,37804,37808],{},[1968,37805,37806],{},[2019,37807,9173],{},[1975,37809,9173],{"encoding":1977},[1952,37811,37813],{"className":37812,"ariaHidden":1982},[1981],[1952,37814,37816,37819],{"className":37815},[1986],[1952,37817],{"className":37818,"style":9241},[1990],[1952,37820,9173],{"className":37821},[1995],[1952,37823,37825,37853],{"className":37824},[1955],[1952,37826,37828],{"className":37827},[1959],[1961,37829,37830],{"xmlns":1963},[1965,37831,37832,37850],{},[1968,37833,37834,37840,37842,37844,37846,37848],{},[2124,37835,37836,37838],{},[1971,37837,13221],{},[1971,37839,2013],{},[2015,37841,2303],{"stretchy":2302},[2019,37843,9173],{},[2015,37845,2312],{"stretchy":2302},[2015,37847,2017],{},[2019,37849,9173],{},[1975,37851,37852],{"encoding":1977},"U_i(0) = 0",[1952,37854,37856,37920],{"className":37855,"ariaHidden":1982},[1981],[1952,37857,37859,37862,37902,37905,37908,37911,37914,37917],{"className":37858},[1986],[1952,37860],{"className":37861,"style":2380},[1990],[1952,37863,37865,37868],{"className":37864},[1995],[1952,37866,13221],{"className":37867,"style":1997},[1995,1996],[1952,37869,37871],{"className":37870},[2165],[1952,37872,37874,37894],{"className":37873},[2169,2170],[1952,37875,37877,37891],{"className":37876},[2174],[1952,37878,37880],{"className":37879,"style":2179},[2178],[1952,37881,37882,37885],{"style":13308},[1952,37883],{"className":37884,"style":2187},[2186],[1952,37886,37888],{"className":37887},[2191,2192,2193,2194],[1952,37889,2013],{"className":37890},[1995,1996,2194],[1952,37892,2202],{"className":37893},[2201],[1952,37895,37897],{"className":37896},[2174],[1952,37898,37900],{"className":37899,"style":2209},[2178],[1952,37901],{},[1952,37903,2303],{"className":37904},[2426],[1952,37906,9173],{"className":37907},[1995],[1952,37909,2312],{"className":37910},[2470],[1952,37912],{"className":37913,"style":2057},[2056],[1952,37915,2017],{"className":37916},[2061],[1952,37918],{"className":37919,"style":2057},[2056],[1952,37921,37923,37926],{"className":37922},[1986],[1952,37924],{"className":37925,"style":9241},[1990],[1952,37927,9173],{"className":37928},[1995],[1798,37930,37931],{},"因此，它们的期望收益相同。",[1794,37933,37935],{"id":37934},"六最优拍卖设计-optimal-auction-design","六、最优拍卖设计 (Optimal Auction Design)",[1866,37937,37939],{"id":37938},"_61-myerson最优拍卖","6.1 Myerson最优拍卖",[1798,37941,37942,37944],{},[1850,37943,7961],{},"：卖家如何设计拍卖来最大化期望收益？",[1798,37946,37947,37950],{},[1850,37948,37949],{},"Myerson (1981)"," 给出了一般解：",[1798,37952,37953,37954,1946],{},"定义",[1850,37955,37956],{},"虚拟估值 (Virtual Valuation)",[1952,37958,37960],{"className":37959},[3565],[1952,37961,37963,38044],{"className":37962},[1955],[1952,37964,37966],{"className":37965},[1959],[1961,37967,37968],{"xmlns":1963,"display":3574},[1965,37969,37970,38041],{},[1968,37971,37972,37979,37981,37987,37989,37991,37997,37999],{},[2124,37973,37974,37977],{},[1971,37975,37976],{},"ϕ",[1971,37978,2013],{},[2015,37980,2303],{"stretchy":2302},[2124,37982,37983,37985],{},[1971,37984,2128],{},[1971,37986,2013],{},[2015,37988,2312],{"stretchy":2302},[2015,37990,2017],{},[2124,37992,37993,37995],{},[1971,37994,2128],{},[1971,37996,2013],{},[2015,37998,3607],{},[20202,38000,38001,38023],{},[1968,38002,38003,38005,38007,38013,38015,38021],{},[2019,38004,2021],{},[2015,38006,3607],{},[2124,38008,38009,38011],{},[1971,38010,2297],{},[1971,38012,2013],{},[2015,38014,2303],{"stretchy":2302},[2124,38016,38017,38019],{},[1971,38018,2128],{},[1971,38020,2013],{},[2015,38022,2312],{"stretchy":2302},[1968,38024,38025,38031,38033,38039],{},[2124,38026,38027,38029],{},[1971,38028,2707],{},[1971,38030,2013],{},[2015,38032,2303],{"stretchy":2302},[2124,38034,38035,38037],{},[1971,38036,2128],{},[1971,38038,2013],{},[2015,38040,2312],{"stretchy":2302},[1975,38042,38043],{"encoding":1977},"\\phi_i(\\theta_i) = \\theta_i - \\frac{1 - F_i(\\theta_i)}{f_i(\\theta_i)}",[1952,38045,38047,38148,38203],{"className":38046,"ariaHidden":1982},[1981],[1952,38048,38050,38053,38093,38096,38136,38139,38142,38145],{"className":38049},[1986],[1952,38051],{"className":38052,"style":2380},[1990],[1952,38054,38056,38059],{"className":38055},[1995],[1952,38057,37976],{"className":38058},[1995,1996],[1952,38060,38062],{"className":38061},[2165],[1952,38063,38065,38085],{"className":38064},[2169,2170],[1952,38066,38068,38082],{"className":38067},[2174],[1952,38069,38071],{"className":38070,"style":2179},[2178],[1952,38072,38073,38076],{"style":2248},[1952,38074],{"className":38075,"style":2187},[2186],[1952,38077,38079],{"className":38078},[2191,2192,2193,2194],[1952,38080,2013],{"className":38081},[1995,1996,2194],[1952,38083,2202],{"className":38084},[2201],[1952,38086,38088],{"className":38087},[2174],[1952,38089,38091],{"className":38090,"style":2209},[2178],[1952,38092],{},[1952,38094,2303],{"className":38095},[2426],[1952,38097,38099,38102],{"className":38098},[1995],[1952,38100,2128],{"className":38101,"style":2161},[1995,1996],[1952,38103,38105],{"className":38104},[2165],[1952,38106,38108,38128],{"className":38107},[2169,2170],[1952,38109,38111,38125],{"className":38110},[2174],[1952,38112,38114],{"className":38113,"style":2179},[2178],[1952,38115,38116,38119],{"style":2182},[1952,38117],{"className":38118,"style":2187},[2186],[1952,38120,38122],{"className":38121},[2191,2192,2193,2194],[1952,38123,2013],{"className":38124},[1995,1996,2194],[1952,38126,2202],{"className":38127},[2201],[1952,38129,38131],{"className":38130},[2174],[1952,38132,38134],{"className":38133,"style":2209},[2178],[1952,38135],{},[1952,38137,2312],{"className":38138},[2470],[1952,38140],{"className":38141,"style":2057},[2056],[1952,38143,2017],{"className":38144},[2061],[1952,38146],{"className":38147,"style":2057},[2056],[1952,38149,38151,38154,38194,38197,38200],{"className":38150},[1986],[1952,38152],{"className":38153,"style":2154},[1990],[1952,38155,38157,38160],{"className":38156},[1995],[1952,38158,2128],{"className":38159,"style":2161},[1995,1996],[1952,38161,38163],{"className":38162},[2165],[1952,38164,38166,38186],{"className":38165},[2169,2170],[1952,38167,38169,38183],{"className":38168},[2174],[1952,38170,38172],{"className":38171,"style":2179},[2178],[1952,38173,38174,38177],{"style":2182},[1952,38175],{"className":38176,"style":2187},[2186],[1952,38178,38180],{"className":38179},[2191,2192,2193,2194],[1952,38181,2013],{"className":38182},[1995,1996,2194],[1952,38184,2202],{"className":38185},[2201],[1952,38187,38189],{"className":38188},[2174],[1952,38190,38192],{"className":38191,"style":2209},[2178],[1952,38193],{},[1952,38195],{"className":38196,"style":8948},[2056],[1952,38198,3607],{"className":38199},[5482],[1952,38201],{"className":38202,"style":8948},[2056],[1952,38204,38206,38210],{"className":38205},[1986],[1952,38207],{"className":38208,"style":38209},[1990],"height:2.363em;vertical-align:-0.936em;",[1952,38211,38213,38216,38448],{"className":38212},[1995],[1952,38214],{"className":38215},[2426,20422],[1952,38217,38219],{"className":38218},[20202],[1952,38220,38222,38440],{"className":38221},[2169,2170],[1952,38223,38225,38437],{"className":38224},[2174],[1952,38226,38229,38323,38331],{"className":38227,"style":38228},[2178],"height:1.427em;",[1952,38230,38231,38234],{"style":20438},[1952,38232],{"className":38233,"style":3164},[2186],[1952,38235,38237,38277,38280,38320],{"className":38236},[1995],[1952,38238,38240,38243],{"className":38239},[1995],[1952,38241,2707],{"className":38242,"style":2734},[1995,1996],[1952,38244,38246],{"className":38245},[2165],[1952,38247,38249,38269],{"className":38248},[2169,2170],[1952,38250,38252,38266],{"className":38251},[2174],[1952,38253,38255],{"className":38254,"style":2179},[2178],[1952,38256,38257,38260],{"style":28376},[1952,38258],{"className":38259,"style":2187},[2186],[1952,38261,38263],{"className":38262},[2191,2192,2193,2194],[1952,38264,2013],{"className":38265},[1995,1996,2194],[1952,38267,2202],{"className":38268},[2201],[1952,38270,38272],{"className":38271},[2174],[1952,38273,38275],{"className":38274,"style":2209},[2178],[1952,38276],{},[1952,38278,2303],{"className":38279},[2426],[1952,38281,38283,38286],{"className":38282},[1995],[1952,38284,2128],{"className":38285,"style":2161},[1995,1996],[1952,38287,38289],{"className":38288},[2165],[1952,38290,38292,38312],{"className":38291},[2169,2170],[1952,38293,38295,38309],{"className":38294},[2174],[1952,38296,38298],{"className":38297,"style":2179},[2178],[1952,38299,38300,38303],{"style":2182},[1952,38301],{"className":38302,"style":2187},[2186],[1952,38304,38306],{"className":38305},[2191,2192,2193,2194],[1952,38307,2013],{"className":38308},[1995,1996,2194],[1952,38310,2202],{"className":38311},[2201],[1952,38313,38315],{"className":38314},[2174],[1952,38316,38318],{"className":38317,"style":2209},[2178],[1952,38319],{},[1952,38321,2312],{"className":38322},[2470],[1952,38324,38325,38328],{"style":20491},[1952,38326],{"className":38327,"style":3164},[2186],[1952,38329],{"className":38330,"style":20499},[20498],[1952,38332,38333,38336],{"style":20502},[1952,38334],{"className":38335,"style":3164},[2186],[1952,38337,38339,38342,38345,38348,38351,38391,38394,38434],{"className":38338},[1995],[1952,38340,2021],{"className":38341},[1995],[1952,38343],{"className":38344,"style":8948},[2056],[1952,38346,3607],{"className":38347},[5482],[1952,38349],{"className":38350,"style":8948},[2056],[1952,38352,38354,38357],{"className":38353},[1995],[1952,38355,2297],{"className":38356,"style":2387},[1995,1996],[1952,38358,38360],{"className":38359},[2165],[1952,38361,38363,38383],{"className":38362},[2169,2170],[1952,38364,38366,38380],{"className":38365},[2174],[1952,38367,38369],{"className":38368,"style":2179},[2178],[1952,38370,38371,38374],{"style":2402},[1952,38372],{"className":38373,"style":2187},[2186],[1952,38375,38377],{"className":38376},[2191,2192,2193,2194],[1952,38378,2013],{"className":38379},[1995,1996,2194],[1952,38381,2202],{"className":38382},[2201],[1952,38384,38386],{"className":38385},[2174],[1952,38387,38389],{"className":38388,"style":2209},[2178],[1952,38390],{},[1952,38392,2303],{"className":38393},[2426],[1952,38395,38397,38400],{"className":38396},[1995],[1952,38398,2128],{"className":38399,"style":2161},[1995,1996],[1952,38401,38403],{"className":38402},[2165],[1952,38404,38406,38426],{"className":38405},[2169,2170],[1952,38407,38409,38423],{"className":38408},[2174],[1952,38410,38412],{"className":38411,"style":2179},[2178],[1952,38413,38414,38417],{"style":2182},[1952,38415],{"className":38416,"style":2187},[2186],[1952,38418,38420],{"className":38419},[2191,2192,2193,2194],[1952,38421,2013],{"className":38422},[1995,1996,2194],[1952,38424,2202],{"className":38425},[2201],[1952,38427,38429],{"className":38428},[2174],[1952,38430,38432],{"className":38431,"style":2209},[2178],[1952,38433],{},[1952,38435,2312],{"className":38436},[2470],[1952,38438,2202],{"className":38439},[2201],[1952,38441,38443],{"className":38442},[2174],[1952,38444,38446],{"className":38445,"style":20999},[2178],[1952,38447],{},[1952,38449],{"className":38450},[2470,20422],[1798,38452,38453,1946],{},[1850,38454,12960],{},[1805,38456,38457,38529],{},[1808,38458,38459,38528],{},[1952,38460,38462,38479],{"className":38461},[1955],[1952,38463,38465],{"className":38464},[1959],[1961,38466,38467],{"xmlns":1963},[1965,38468,38469,38477],{},[1968,38470,38471],{},[2124,38472,38473,38475],{},[1971,38474,2128],{},[1971,38476,2013],{},[1975,38478,3005],{"encoding":1977},[1952,38480,38482],{"className":38481,"ariaHidden":1982},[1981],[1952,38483,38485,38488],{"className":38484},[1986],[1952,38486],{"className":38487,"style":2154},[1990],[1952,38489,38491,38494],{"className":38490},[1995],[1952,38492,2128],{"className":38493,"style":2161},[1995,1996],[1952,38495,38497],{"className":38496},[2165],[1952,38498,38500,38520],{"className":38499},[2169,2170],[1952,38501,38503,38517],{"className":38502},[2174],[1952,38504,38506],{"className":38505,"style":2179},[2178],[1952,38507,38508,38511],{"style":2182},[1952,38509],{"className":38510,"style":2187},[2186],[1952,38512,38514],{"className":38513},[2191,2192,2193,2194],[1952,38515,2013],{"className":38516},[1995,1996,2194],[1952,38518,2202],{"className":38519},[2201],[1952,38521,38523],{"className":38522},[2174],[1952,38524,38526],{"className":38525,"style":2209},[2178],[1952,38527],{},"：真实估值（卖家获得的直接价值）",[1808,38530,38531,38848],{},[1952,38532,38534,38590],{"className":38533},[1955],[1952,38535,38537],{"className":38536},[1959],[1961,38538,38539],{"xmlns":1963},[1965,38540,38541,38587],{},[1968,38542,38543,38545],{},[2015,38544,3607],{},[20202,38546,38547,38569],{},[1968,38548,38549,38551,38553,38559,38561,38567],{},[2019,38550,2021],{},[2015,38552,3607],{},[2124,38554,38555,38557],{},[1971,38556,2297],{},[1971,38558,2013],{},[2015,38560,2303],{"stretchy":2302},[2124,38562,38563,38565],{},[1971,38564,2128],{},[1971,38566,2013],{},[2015,38568,2312],{"stretchy":2302},[1968,38570,38571,38577,38579,38585],{},[2124,38572,38573,38575],{},[1971,38574,2707],{},[1971,38576,2013],{},[2015,38578,2303],{"stretchy":2302},[2124,38580,38581,38583],{},[1971,38582,2128],{},[1971,38584,2013],{},[2015,38586,2312],{"stretchy":2302},[1975,38588,38589],{"encoding":1977},"-\\frac{1-F_i(\\theta_i)}{f_i(\\theta_i)}",[1952,38591,38593],{"className":38592,"ariaHidden":1982},[1981],[1952,38594,38596,38600,38603],{"className":38595},[1986],[1952,38597],{"className":38598,"style":38599},[1990],"height:1.53em;vertical-align:-0.52em;",[1952,38601,3607],{"className":38602},[1995],[1952,38604,38606,38609,38845],{"className":38605},[1995],[1952,38607],{"className":38608},[2426,20422],[1952,38610,38612],{"className":38611},[20202],[1952,38613,38615,38836],{"className":38614},[2169,2170],[1952,38616,38618,38833],{"className":38617},[2174],[1952,38619,38622,38720,38728],{"className":38620,"style":38621},[2178],"height:1.01em;",[1952,38623,38624,38627],{"style":22813},[1952,38625],{"className":38626,"style":3164},[2186],[1952,38628,38630],{"className":38629},[2191,2192,2193,2194],[1952,38631,38633,38674,38677,38717],{"className":38632},[1995,2194],[1952,38634,38636,38639],{"className":38635},[1995,2194],[1952,38637,2707],{"className":38638,"style":2734},[1995,1996,2194],[1952,38640,38642],{"className":38641},[2165],[1952,38643,38645,38666],{"className":38644},[2169,2170],[1952,38646,38648,38663],{"className":38647},[2174],[1952,38649,38651],{"className":38650,"style":22844},[2178],[1952,38652,38654,38657],{"style":38653},"top:-2.357em;margin-left:-0.1076em;margin-right:0.0714em;",[1952,38655],{"className":38656,"style":22851},[2186],[1952,38658,38660],{"className":38659},[2191,22855,22856,2194],[1952,38661,2013],{"className":38662},[1995,1996,2194],[1952,38664,2202],{"className":38665},[2201],[1952,38667,38669],{"className":38668},[2174],[1952,38670,38672],{"className":38671,"style":22869},[2178],[1952,38673],{},[1952,38675,2303],{"className":38676},[2426,2194],[1952,38678,38680,38683],{"className":38679},[1995,2194],[1952,38681,2128],{"className":38682,"style":2161},[1995,1996,2194],[1952,38684,38686],{"className":38685},[2165],[1952,38687,38689,38709],{"className":38688},[2169,2170],[1952,38690,38692,38706],{"className":38691},[2174],[1952,38693,38695],{"className":38694,"style":22844},[2178],[1952,38696,38697,38700],{"style":22847},[1952,38698],{"className":38699,"style":22851},[2186],[1952,38701,38703],{"className":38702},[2191,22855,22856,2194],[1952,38704,2013],{"className":38705},[1995,1996,2194],[1952,38707,2202],{"className":38708},[2201],[1952,38710,38712],{"className":38711},[2174],[1952,38713,38715],{"className":38714,"style":22869},[2178],[1952,38716],{},[1952,38718,2312],{"className":38719},[2470,2194],[1952,38721,38722,38725],{"style":20491},[1952,38723],{"className":38724,"style":3164},[2186],[1952,38726],{"className":38727,"style":20499},[20498],[1952,38729,38731,38734],{"style":38730},"top:-3.485em;",[1952,38732],{"className":38733,"style":3164},[2186],[1952,38735,38737],{"className":38736},[2191,2192,2193,2194],[1952,38738,38740,38743,38746,38787,38790,38830],{"className":38739},[1995,2194],[1952,38741,2021],{"className":38742},[1995,2194],[1952,38744,3607],{"className":38745},[5482,2194],[1952,38747,38749,38752],{"className":38748},[1995,2194],[1952,38750,2297],{"className":38751,"style":2387},[1995,1996,2194],[1952,38753,38755],{"className":38754},[2165],[1952,38756,38758,38779],{"className":38757},[2169,2170],[1952,38759,38761,38776],{"className":38760},[2174],[1952,38762,38764],{"className":38763,"style":22844},[2178],[1952,38765,38767,38770],{"style":38766},"top:-2.357em;margin-left:-0.1389em;margin-right:0.0714em;",[1952,38768],{"className":38769,"style":22851},[2186],[1952,38771,38773],{"className":38772},[2191,22855,22856,2194],[1952,38774,2013],{"className":38775},[1995,1996,2194],[1952,38777,2202],{"className":38778},[2201],[1952,38780,38782],{"className":38781},[2174],[1952,38783,38785],{"className":38784,"style":22869},[2178],[1952,38786],{},[1952,38788,2303],{"className":38789},[2426,2194],[1952,38791,38793,38796],{"className":38792},[1995,2194],[1952,38794,2128],{"className":38795,"style":2161},[1995,1996,2194],[1952,38797,38799],{"className":38798},[2165],[1952,38800,38802,38822],{"className":38801},[2169,2170],[1952,38803,38805,38819],{"className":38804},[2174],[1952,38806,38808],{"className":38807,"style":22844},[2178],[1952,38809,38810,38813],{"style":22847},[1952,38811],{"className":38812,"style":22851},[2186],[1952,38814,38816],{"className":38815},[2191,22855,22856,2194],[1952,38817,2013],{"className":38818},[1995,1996,2194],[1952,38820,2202],{"className":38821},[2201],[1952,38823,38825],{"className":38824},[2174],[1952,38826,38828],{"className":38827,"style":22869},[2178],[1952,38829],{},[1952,38831,2312],{"className":38832},[2470,2194],[1952,38834,2202],{"className":38835},[2201],[1952,38837,38839],{"className":38838},[2174],[1952,38840,38843],{"className":38841,"style":38842},[2178],"height:0.52em;",[1952,38844],{},[1952,38846],{"className":38847},[2470,20422],"：信息租金（由于竞标者隐藏信息）",[1798,38850,38851,38854],{},[1850,38852,38853],{},"最优机制","（在IC和PC约束下）：",[1877,38856,38857,38908],{},[1808,38858,38859,38860,38863,38864,11333],{},"将物品分配给",[1850,38861,38862],{},"虚拟估值最高","的竞标者（如果虚拟估值 ",[1952,38865,38867,38883],{"className":38866},[1955],[1952,38868,38870],{"className":38869},[1959],[1961,38871,38872],{"xmlns":1963},[1965,38873,38874,38880],{},[1968,38875,38876,38878],{},[2015,38877,8665],{},[2019,38879,9173],{},[1975,38881,38882],{"encoding":1977},"> 0",[1952,38884,38886,38899],{"className":38885,"ariaHidden":1982},[1981],[1952,38887,38889,38893,38896],{"className":38888},[1986],[1952,38890],{"className":38891,"style":38892},[1990],"height:0.5782em;vertical-align:-0.0391em;",[1952,38894,8665],{"className":38895},[2061],[1952,38897],{"className":38898,"style":2057},[2056],[1952,38900,38902,38905],{"className":38901},[1986],[1952,38903],{"className":38904,"style":9241},[1990],[1952,38906,9173],{"className":38907},[1995],[1808,38909,38910],{},"否则保留物品",[1798,38912,38913,38915],{},[1850,38914,8151],{},"：通过收入等价定理确定。",[1866,38917,38919],{"id":38918},"_62-保留价格-reserve-price","6.2 保留价格 (Reserve Price)",[1798,38921,38922,38923,38955],{},"即使只有一个竞标者，卖家也应设置",[1850,38924,38925,38926],{},"保留价 ",[1952,38927,38929,38943],{"className":38928},[1955],[1952,38930,38932],{"className":38931},[1959],[1961,38933,38934],{"xmlns":1963},[1965,38935,38936,38941],{},[1968,38937,38938],{},[1971,38939,38940],{},"r",[1975,38942,38940],{"encoding":1977},[1952,38944,38946],{"className":38945,"ariaHidden":1982},[1981],[1952,38947,38949,38952],{"className":38948},[1986],[1952,38950],{"className":38951,"style":2980},[1990],[1952,38953,38940],{"className":38954,"style":2161},[1995,1996],"（最低接受价格）。",[1798,38957,38958,38961,38962,3089],{},[1850,38959,38960],{},"原因","：虽然降低保留价增加成交概率，但也降低了价格。权衡的结果是存在最优保留价 ",[1952,38963,38965,38987],{"className":38964},[1955],[1952,38966,38968],{"className":38967},[1959],[1961,38969,38970],{"xmlns":1963},[1965,38971,38972,38984],{},[1968,38973,38974,38980,38982],{},[5424,38975,38976,38978],{},[1971,38977,38940],{},[2015,38979,5431],{},[2015,38981,8665],{},[2019,38983,9173],{},[1975,38985,38986],{"encoding":1977},"r^* > 0",[1952,38988,38990,39035],{"className":38989,"ariaHidden":1982},[1981],[1952,38991,38993,38997,39026,39029,39032],{"className":38992},[1986],[1952,38994],{"className":38995,"style":38996},[1990],"height:0.7278em;vertical-align:-0.0391em;",[1952,38998,39000,39003],{"className":38999},[1995],[1952,39001,38940],{"className":39002,"style":2161},[1995,1996],[1952,39004,39006],{"className":39005},[2165],[1952,39007,39009],{"className":39008},[2169],[1952,39010,39012],{"className":39011},[2174],[1952,39013,39015],{"className":39014,"style":5469},[2178],[1952,39016,39017,39020],{"style":5472},[1952,39018],{"className":39019,"style":2187},[2186],[1952,39021,39023],{"className":39022},[2191,2192,2193,2194],[1952,39024,5431],{"className":39025},[5482,2194],[1952,39027],{"className":39028,"style":2057},[2056],[1952,39030,8665],{"className":39031},[2061],[1952,39033],{"className":39034,"style":2057},[2056],[1952,39036,39038,39041],{"className":39037},[1986],[1952,39039],{"className":39040,"style":9241},[1990],[1952,39042,9173],{"className":39043},[1995],[1798,39045,39046,39049,39050,39187],{},[1850,39047,39048],{},"最优保留价","：满足 ",[1952,39051,39053,39085],{"className":39052},[1955],[1952,39054,39056],{"className":39055},[1959],[1961,39057,39058],{"xmlns":1963},[1965,39059,39060,39082],{},[1968,39061,39062,39068,39070,39076,39078,39080],{},[2124,39063,39064,39066],{},[1971,39065,37976],{},[1971,39067,2013],{},[2015,39069,2303],{"stretchy":2302},[5424,39071,39072,39074],{},[1971,39073,38940],{},[2015,39075,5431],{},[2015,39077,2312],{"stretchy":2302},[2015,39079,2017],{},[2019,39081,9173],{},[1975,39083,39084],{"encoding":1977},"\\phi_i(r^*) = 0",[1952,39086,39088,39178],{"className":39087,"ariaHidden":1982},[1981],[1952,39089,39091,39094,39134,39137,39166,39169,39172,39175],{"className":39090},[1986],[1952,39092],{"className":39093,"style":2380},[1990],[1952,39095,39097,39100],{"className":39096},[1995],[1952,39098,37976],{"className":39099},[1995,1996],[1952,39101,39103],{"className":39102},[2165],[1952,39104,39106,39126],{"className":39105},[2169,2170],[1952,39107,39109,39123],{"className":39108},[2174],[1952,39110,39112],{"className":39111,"style":2179},[2178],[1952,39113,39114,39117],{"style":2248},[1952,39115],{"className":39116,"style":2187},[2186],[1952,39118,39120],{"className":39119},[2191,2192,2193,2194],[1952,39121,2013],{"className":39122},[1995,1996,2194],[1952,39124,2202],{"className":39125},[2201],[1952,39127,39129],{"className":39128},[2174],[1952,39130,39132],{"className":39131,"style":2209},[2178],[1952,39133],{},[1952,39135,2303],{"className":39136},[2426],[1952,39138,39140,39143],{"className":39139},[1995],[1952,39141,38940],{"className":39142,"style":2161},[1995,1996],[1952,39144,39146],{"className":39145},[2165],[1952,39147,39149],{"className":39148},[2169],[1952,39150,39152],{"className":39151},[2174],[1952,39153,39155],{"className":39154,"style":5469},[2178],[1952,39156,39157,39160],{"style":5472},[1952,39158],{"className":39159,"style":2187},[2186],[1952,39161,39163],{"className":39162},[2191,2192,2193,2194],[1952,39164,5431],{"className":39165},[5482,2194],[1952,39167,2312],{"className":39168},[2470],[1952,39170],{"className":39171,"style":2057},[2056],[1952,39173,2017],{"className":39174},[2061],[1952,39176],{"className":39177,"style":2057},[2056],[1952,39179,39181,39184],{"className":39180},[1986],[1952,39182],{"className":39183,"style":9241},[1990],[1952,39185,9173],{"className":39186},[1995],"，即：",[1952,39189,39191],{"className":39190},[3565],[1952,39192,39194,39248],{"className":39193},[1955],[1952,39195,39197],{"className":39196},[1959],[1961,39198,39199],{"xmlns":1963,"display":3574},[1965,39200,39201,39245],{},[1968,39202,39203,39209,39211],{},[5424,39204,39205,39207],{},[1971,39206,38940],{},[2015,39208,5431],{},[2015,39210,2017],{},[20202,39212,39213,39231],{},[1968,39214,39215,39217,39219,39221,39223,39229],{},[2019,39216,2021],{},[2015,39218,3607],{},[1971,39220,2297],{},[2015,39222,2303],{"stretchy":2302},[5424,39224,39225,39227],{},[1971,39226,38940],{},[2015,39228,5431],{},[2015,39230,2312],{"stretchy":2302},[1968,39232,39233,39235,39237,39243],{},[1971,39234,2707],{},[2015,39236,2303],{"stretchy":2302},[5424,39238,39239,39241],{},[1971,39240,38940],{},[2015,39242,5431],{},[2015,39244,2312],{"stretchy":2302},[1975,39246,39247],{"encoding":1977},"r^* = \\frac{1 - F(r^*)}{f(r^*)}",[1952,39249,39251,39295],{"className":39250,"ariaHidden":1982},[1981],[1952,39252,39254,39257,39286,39289,39292],{"className":39253},[1986],[1952,39255],{"className":39256,"style":6267},[1990],[1952,39258,39260,39263],{"className":39259},[1995],[1952,39261,38940],{"className":39262,"style":2161},[1995,1996],[1952,39264,39266],{"className":39265},[2165],[1952,39267,39269],{"className":39268},[2169],[1952,39270,39272],{"className":39271},[2174],[1952,39273,39275],{"className":39274,"style":6267},[2178],[1952,39276,39277,39280],{"style":6270},[1952,39278],{"className":39279,"style":2187},[2186],[1952,39281,39283],{"className":39282},[2191,2192,2193,2194],[1952,39284,5431],{"className":39285},[5482,2194],[1952,39287],{"className":39288,"style":2057},[2056],[1952,39290,2017],{"className":39291},[2061],[1952,39293],{"className":39294,"style":2057},[2056],[1952,39296,39298,39301],{"className":39297},[1986],[1952,39299],{"className":39300,"style":38209},[1990],[1952,39302,39304,39307,39443],{"className":39303},[1995],[1952,39305],{"className":39306},[2426,20422],[1952,39308,39310],{"className":39309},[20202],[1952,39311,39313,39435],{"className":39312},[2169,2170],[1952,39314,39316,39432],{"className":39315},[2174],[1952,39317,39319,39366,39374],{"className":39318,"style":38228},[2178],[1952,39320,39321,39324],{"style":20438},[1952,39322],{"className":39323,"style":3164},[2186],[1952,39325,39327,39330,39333,39363],{"className":39326},[1995],[1952,39328,2707],{"className":39329,"style":2734},[1995,1996],[1952,39331,2303],{"className":39332},[2426],[1952,39334,39336,39339],{"className":39335},[1995],[1952,39337,38940],{"className":39338,"style":2161},[1995,1996],[1952,39340,39342],{"className":39341},[2165],[1952,39343,39345],{"className":39344},[2169],[1952,39346,39348],{"className":39347},[2174],[1952,39349,39352],{"className":39350,"style":39351},[2178],"height:0.6147em;",[1952,39353,39354,39357],{"style":20873},[1952,39355],{"className":39356,"style":2187},[2186],[1952,39358,39360],{"className":39359},[2191,2192,2193,2194],[1952,39361,5431],{"className":39362},[5482,2194],[1952,39364,2312],{"className":39365},[2470],[1952,39367,39368,39371],{"style":20491},[1952,39369],{"className":39370,"style":3164},[2186],[1952,39372],{"className":39373,"style":20499},[20498],[1952,39375,39376,39379],{"style":20502},[1952,39377],{"className":39378,"style":3164},[2186],[1952,39380,39382,39385,39388,39391,39394,39397,39400,39429],{"className":39381},[1995],[1952,39383,2021],{"className":39384},[1995],[1952,39386],{"className":39387,"style":8948},[2056],[1952,39389,3607],{"className":39390},[5482],[1952,39392],{"className":39393,"style":8948},[2056],[1952,39395,2297],{"className":39396,"style":2387},[1995,1996],[1952,39398,2303],{"className":39399},[2426],[1952,39401,39403,39406],{"className":39402},[1995],[1952,39404,38940],{"className":39405,"style":2161},[1995,1996],[1952,39407,39409],{"className":39408},[2165],[1952,39410,39412],{"className":39411},[2169],[1952,39413,39415],{"className":39414},[2174],[1952,39416,39418],{"className":39417,"style":5469},[2178],[1952,39419,39420,39423],{"style":5472},[1952,39421],{"className":39422,"style":2187},[2186],[1952,39424,39426],{"className":39425},[2191,2192,2193,2194],[1952,39427,5431],{"className":39428},[5482,2194],[1952,39430,2312],{"className":39431},[2470],[1952,39433,2202],{"className":39434},[2201],[1952,39436,39438],{"className":39437},[2174],[1952,39439,39441],{"className":39440,"style":20999},[2178],[1952,39442],{},[1952,39444],{"className":39445},[2470,20422],[1798,39447,39448,1946,39451],{},[1850,39449,39450],{},"均匀分布例子",[1952,39452,39454,39482],{"className":39453},[1955],[1952,39455,39457],{"className":39456},[1959],[1961,39458,39459],{"xmlns":1963},[1965,39460,39461,39479],{},[1968,39462,39463,39465,39467,39469,39471,39473,39475,39477],{},[1971,39464,2128],{},[2015,39466,2292],{},[1971,39468,13221],{},[2015,39470,18209],{"stretchy":2302},[2019,39472,9173],{},[2015,39474,2024],{"separator":1982},[2019,39476,2021],{},[2015,39478,18223],{"stretchy":2302},[1975,39480,39481],{"encoding":1977},"\\theta \\sim U[0, 1]",[1952,39483,39485,39503],{"className":39484,"ariaHidden":1982},[1981],[1952,39486,39488,39491,39494,39497,39500],{"className":39487},[1986],[1952,39489],{"className":39490,"style":2524},[1990],[1952,39492,2128],{"className":39493,"style":2161},[1995,1996],[1952,39495],{"className":39496,"style":2057},[2056],[1952,39498,2292],{"className":39499},[2061],[1952,39501],{"className":39502,"style":2057},[2056],[1952,39504,39506,39509,39512,39515,39518,39521,39524,39527],{"className":39505},[1986],[1952,39507],{"className":39508,"style":2380},[1990],[1952,39510,13221],{"className":39511,"style":1997},[1995,1996],[1952,39513,18209],{"className":39514},[2426],[1952,39516,9173],{"className":39517},[1995],[1952,39519,2024],{"className":39520},[2078],[1952,39522],{"className":39523,"style":2082},[2056],[1952,39525,2021],{"className":39526},[1995],[1952,39528,18223],{"className":39529},[2470],[1952,39531,39533],{"className":39532},[3565],[1952,39534,39536,39584],{"className":39535},[1955],[1952,39537,39539],{"className":39538},[1959],[1961,39540,39541],{"xmlns":1963,"display":3574},[1965,39542,39543,39581],{},[1968,39544,39545,39547,39549,39551,39553,39555,39557,39559,39571,39573,39575,39577,39579],{},[1971,39546,37976],{},[2015,39548,2303],{"stretchy":2302},[1971,39550,2128],{},[2015,39552,2312],{"stretchy":2302},[2015,39554,2017],{},[1971,39556,2128],{},[2015,39558,3607],{},[20202,39560,39561,39569],{},[1968,39562,39563,39565,39567],{},[2019,39564,2021],{},[2015,39566,3607],{},[1971,39568,2128],{},[2019,39570,2021],{},[2015,39572,2017],{},[2019,39574,2027],{},[1971,39576,2128],{},[2015,39578,3607],{},[2019,39580,2021],{},[1975,39582,39583],{"encoding":1977},"\\phi(\\theta) = \\theta - \\frac{1-\\theta}{1} = 2\\theta - 1",[1952,39585,39587,39614,39633,39722,39743],{"className":39586,"ariaHidden":1982},[1981],[1952,39588,39590,39593,39596,39599,39602,39605,39608,39611],{"className":39589},[1986],[1952,39591],{"className":39592,"style":2380},[1990],[1952,39594,37976],{"className":39595},[1995,1996],[1952,39597,2303],{"className":39598},[2426],[1952,39600,2128],{"className":39601,"style":2161},[1995,1996],[1952,39603,2312],{"className":39604},[2470],[1952,39606],{"className":39607,"style":2057},[2056],[1952,39609,2017],{"className":39610},[2061],[1952,39612],{"className":39613,"style":2057},[2056],[1952,39615,39617,39621,39624,39627,39630],{"className":39616},[1986],[1952,39618],{"className":39619,"style":39620},[1990],"height:0.7778em;vertical-align:-0.0833em;",[1952,39622,2128],{"className":39623,"style":2161},[1995,1996],[1952,39625],{"className":39626,"style":8948},[2056],[1952,39628,3607],{"className":39629},[5482],[1952,39631],{"className":39632,"style":8948},[2056],[1952,39634,39636,39639,39713,39716,39719],{"className":39635},[1986],[1952,39637],{"className":39638,"style":27023},[1990],[1952,39640,39642,39645,39710],{"className":39641},[1995],[1952,39643],{"className":39644},[2426,20422],[1952,39646,39648],{"className":39647},[20202],[1952,39649,39651,39702],{"className":39650},[2169,2170],[1952,39652,39654,39699],{"className":39653},[2174],[1952,39655,39657,39668,39676],{"className":39656,"style":20435},[2178],[1952,39658,39659,39662],{"style":20438},[1952,39660],{"className":39661,"style":3164},[2186],[1952,39663,39665],{"className":39664},[1995],[1952,39666,2021],{"className":39667},[1995],[1952,39669,39670,39673],{"style":20491},[1952,39671],{"className":39672,"style":3164},[2186],[1952,39674],{"className":39675,"style":20499},[20498],[1952,39677,39678,39681],{"style":20502},[1952,39679],{"className":39680,"style":3164},[2186],[1952,39682,39684,39687,39690,39693,39696],{"className":39683},[1995],[1952,39685,2021],{"className":39686},[1995],[1952,39688],{"className":39689,"style":8948},[2056],[1952,39691,3607],{"className":39692},[5482],[1952,39694],{"className":39695,"style":8948},[2056],[1952,39697,2128],{"className":39698,"style":2161},[1995,1996],[1952,39700,2202],{"className":39701},[2201],[1952,39703,39705],{"className":39704},[2174],[1952,39706,39708],{"className":39707,"style":26289},[2178],[1952,39709],{},[1952,39711],{"className":39712},[2470,20422],[1952,39714],{"className":39715,"style":2057},[2056],[1952,39717,2017],{"className":39718},[2061],[1952,39720],{"className":39721,"style":2057},[2056],[1952,39723,39725,39728,39731,39734,39737,39740],{"className":39724},[1986],[1952,39726],{"className":39727,"style":39620},[1990],[1952,39729,2027],{"className":39730},[1995],[1952,39732,2128],{"className":39733,"style":2161},[1995,1996],[1952,39735],{"className":39736,"style":8948},[2056],[1952,39738,3607],{"className":39739},[5482],[1952,39741],{"className":39742,"style":8948},[2056],[1952,39744,39746,39749],{"className":39745},[1986],[1952,39747],{"className":39748,"style":9241},[1990],[1952,39750,2021],{"className":39751},[1995],[1798,39753,39754],{},[1952,39755,39757,39802],{"className":39756},[1955],[1952,39758,39760],{"className":39759},[1959],[1961,39761,39762],{"xmlns":1963},[1965,39763,39764,39799],{},[1968,39765,39766,39768,39770,39776,39778,39780,39782,39785,39791,39793],{},[1971,39767,37976],{},[2015,39769,2303],{"stretchy":2302},[5424,39771,39772,39774],{},[1971,39773,38940],{},[2015,39775,5431],{},[2015,39777,2312],{"stretchy":2302},[2015,39779,2017],{},[2019,39781,9173],{},[2015,39783,39784],{},"⇒",[5424,39786,39787,39789],{},[1971,39788,38940],{},[2015,39790,5431],{},[2015,39792,2017],{},[20202,39794,39795,39797],{},[2019,39796,2021],{},[2019,39798,2027],{},[1975,39800,39801],{"encoding":1977},"\\phi(r^*) = 0 \\Rightarrow r^* = \\frac{1}{2}",[1952,39803,39805,39858,39876,39920],{"className":39804,"ariaHidden":1982},[1981],[1952,39806,39808,39811,39814,39817,39846,39849,39852,39855],{"className":39807},[1986],[1952,39809],{"className":39810,"style":2380},[1990],[1952,39812,37976],{"className":39813},[1995,1996],[1952,39815,2303],{"className":39816},[2426],[1952,39818,39820,39823],{"className":39819},[1995],[1952,39821,38940],{"className":39822,"style":2161},[1995,1996],[1952,39824,39826],{"className":39825},[2165],[1952,39827,39829],{"className":39828},[2169],[1952,39830,39832],{"className":39831},[2174],[1952,39833,39835],{"className":39834,"style":5469},[2178],[1952,39836,39837,39840],{"style":5472},[1952,39838],{"className":39839,"style":2187},[2186],[1952,39841,39843],{"className":39842},[2191,2192,2193,2194],[1952,39844,5431],{"className":39845},[5482,2194],[1952,39847,2312],{"className":39848},[2470],[1952,39850],{"className":39851,"style":2057},[2056],[1952,39853,2017],{"className":39854},[2061],[1952,39856],{"className":39857,"style":2057},[2056],[1952,39859,39861,39864,39867,39870,39873],{"className":39860},[1986],[1952,39862],{"className":39863,"style":9241},[1990],[1952,39865,9173],{"className":39866},[1995],[1952,39868],{"className":39869,"style":2057},[2056],[1952,39871,39784],{"className":39872},[2061],[1952,39874],{"className":39875,"style":2057},[2056],[1952,39877,39879,39882,39911,39914,39917],{"className":39878},[1986],[1952,39880],{"className":39881,"style":5469},[1990],[1952,39883,39885,39888],{"className":39884},[1995],[1952,39886,38940],{"className":39887,"style":2161},[1995,1996],[1952,39889,39891],{"className":39890},[2165],[1952,39892,39894],{"className":39893},[2169],[1952,39895,39897],{"className":39896},[2174],[1952,39898,39900],{"className":39899,"style":5469},[2178],[1952,39901,39902,39905],{"style":5472},[1952,39903],{"className":39904,"style":2187},[2186],[1952,39906,39908],{"className":39907},[2191,2192,2193,2194],[1952,39909,5431],{"className":39910},[5482,2194],[1952,39912],{"className":39913,"style":2057},[2056],[1952,39915,2017],{"className":39916},[2061],[1952,39918],{"className":39919,"style":2057},[2056],[1952,39921,39923,39926],{"className":39922},[1986],[1952,39924],{"className":39925,"style":29704},[1990],[1952,39927,39929,39932,39991],{"className":39928},[1995],[1952,39930],{"className":39931},[2426,20422],[1952,39933,39935],{"className":39934},[20202],[1952,39936,39938,39983],{"className":39937},[2169,2170],[1952,39939,39941,39980],{"className":39940},[2174],[1952,39942,39944,39958,39966],{"className":39943,"style":29723},[2178],[1952,39945,39946,39949],{"style":22813},[1952,39947],{"className":39948,"style":3164},[2186],[1952,39950,39952],{"className":39951},[2191,2192,2193,2194],[1952,39953,39955],{"className":39954},[1995,2194],[1952,39956,2027],{"className":39957},[1995,2194],[1952,39959,39960,39963],{"style":20491},[1952,39961],{"className":39962,"style":3164},[2186],[1952,39964],{"className":39965,"style":20499},[20498],[1952,39967,39968,39971],{"style":22882},[1952,39969],{"className":39970,"style":3164},[2186],[1952,39972,39974],{"className":39973},[2191,2192,2193,2194],[1952,39975,39977],{"className":39976},[1995,2194],[1952,39978,2021],{"className":39979},[1995,2194],[1952,39981,2202],{"className":39982},[2201],[1952,39984,39986],{"className":39985},[2174],[1952,39987,39989],{"className":39988,"style":29769},[2178],[1952,39990],{},[1952,39992],{"className":39993},[2470,20422],[1798,39995,39996,39997,40049],{},"卖家应设置保留价 ",[1952,39998,40000,40019],{"className":39999},[1955],[1952,40001,40003],{"className":40002},[1959],[1961,40004,40005],{"xmlns":1963},[1965,40006,40007,40016],{},[1968,40008,40009,40011,40013],{},[1971,40010,38940],{},[2015,40012,2017],{},[2019,40014,40015],{},"0.5",[1975,40017,40018],{"encoding":1977},"r = 0.5",[1952,40020,40022,40040],{"className":40021,"ariaHidden":1982},[1981],[1952,40023,40025,40028,40031,40034,40037],{"className":40024},[1986],[1952,40026],{"className":40027,"style":2980},[1990],[1952,40029,38940],{"className":40030,"style":2161},[1995,1996],[1952,40032],{"className":40033,"style":2057},[2056],[1952,40035,2017],{"className":40036},[2061],[1952,40038],{"className":40039,"style":2057},[2056],[1952,40041,40043,40046],{"className":40042},[1986],[1952,40044],{"className":40045,"style":9241},[1990],[1952,40047,40015],{"className":40048},[1995],"，即使这意味着可能没有成交。",[1866,40051,40053],{"id":40052},"_63-非对称竞标者","6.3 非对称竞标者",[1798,40055,40056,40057,40181,40182,40185],{},"如果竞标者来自不同分布 ",[1952,40058,40060,40086],{"className":40059},[1955],[1952,40061,40063],{"className":40062},[1959],[1961,40064,40065],{"xmlns":1963},[1965,40066,40067,40083],{},[1968,40068,40069,40075,40077],{},[2124,40070,40071,40073],{},[1971,40072,2297],{},[2019,40074,2021],{},[2015,40076,2024],{"separator":1982},[2124,40078,40079,40081],{},[1971,40080,2297],{},[2019,40082,2027],{},[1975,40084,40085],{"encoding":1977},"F_1, F_2",[1952,40087,40089],{"className":40088,"ariaHidden":1982},[1981],[1952,40090,40092,40095,40135,40138,40141],{"className":40091},[1986],[1952,40093],{"className":40094,"style":2071},[1990],[1952,40096,40098,40101],{"className":40097},[1995],[1952,40099,2297],{"className":40100,"style":2387},[1995,1996],[1952,40102,40104],{"className":40103},[2165],[1952,40105,40107,40127],{"className":40106},[2169,2170],[1952,40108,40110,40124],{"className":40109},[2174],[1952,40111,40113],{"className":40112,"style":2564},[2178],[1952,40114,40115,40118],{"style":2402},[1952,40116],{"className":40117,"style":2187},[2186],[1952,40119,40121],{"className":40120},[2191,2192,2193,2194],[1952,40122,2021],{"className":40123},[1995,2194],[1952,40125,2202],{"className":40126},[2201],[1952,40128,40130],{"className":40129},[2174],[1952,40131,40133],{"className":40132,"style":2209},[2178],[1952,40134],{},[1952,40136,2024],{"className":40137},[2078],[1952,40139],{"className":40140,"style":2082},[2056],[1952,40142,40144,40147],{"className":40143},[1995],[1952,40145,2297],{"className":40146,"style":2387},[1995,1996],[1952,40148,40150],{"className":40149},[2165],[1952,40151,40153,40173],{"className":40152},[2169,2170],[1952,40154,40156,40170],{"className":40155},[2174],[1952,40157,40159],{"className":40158,"style":2564},[2178],[1952,40160,40161,40164],{"style":2402},[1952,40162],{"className":40163,"style":2187},[2186],[1952,40165,40167],{"className":40166},[2191,2192,2193,2194],[1952,40168,2027],{"className":40169},[1995,2194],[1952,40171,2202],{"className":40172},[2201],[1952,40174,40176],{"className":40175},[2174],[1952,40177,40179],{"className":40178,"style":2209},[2178],[1952,40180],{},"（如本地竞标者vs.外地竞标者），最优拍卖可能是",[1850,40183,40184],{},"非效率","的：",[1805,40187,40188,40191],{},[1808,40189,40190],{},"可能将物品分配给估值较低但虚拟估值较高的竞标者",[1808,40192,40193],{},"这是为了提取更多信息租金",[1798,40195,40196,40198],{},[1850,40197,3397],{},"：强竞标者（低不确定性）vs. 弱竞标者（高不确定性）",[1805,40200,40201,40204],{},[1808,40202,40203],{},"卖家可能偏向弱竞标者（给予\"优惠\"）",[1808,40205,40206],{},"这增加了竞争，提高了期望收益",[1794,40208,40210],{"id":40209},"七多物品拍卖与组合拍卖-multi-unit-and-combinatorial-auctions","七、多物品拍卖与组合拍卖 (Multi-Unit and Combinatorial Auctions)",[1866,40212,40214],{"id":40213},"_71-多单位拍卖","7.1 多单位拍卖",[1798,40216,40217,1946,40219,40249,40250,40278,40279,11333],{},[1850,40218,7961],{},[1952,40220,40222,40236],{"className":40221},[1955],[1952,40223,40225],{"className":40224},[1959],[1961,40226,40227],{"xmlns":1963},[1965,40228,40229,40234],{},[1968,40230,40231],{},[1971,40232,40233],{},"K",[1975,40235,40233],{"encoding":1977},[1952,40237,40239],{"className":40238,"ariaHidden":1982},[1981],[1952,40240,40242,40245],{"className":40241},[1986],[1952,40243],{"className":40244,"style":1991},[1990],[1952,40246,40233],{"className":40247,"style":40248},[1995,1996],"margin-right:0.0715em;"," 个相同物品，",[1952,40251,40253,40266],{"className":40252},[1955],[1952,40254,40256],{"className":40255},[1959],[1961,40257,40258],{"xmlns":1963},[1965,40259,40260,40264],{},[1968,40261,40262],{},[1971,40263,1973],{},[1975,40265,1973],{"encoding":1977},[1952,40267,40269],{"className":40268,"ariaHidden":1982},[1981],[1952,40270,40272,40275],{"className":40271},[1986],[1952,40273],{"className":40274,"style":1991},[1990],[1952,40276,1973],{"className":40277,"style":1997},[1995,1996]," 个竞标者（",[1952,40280,40282,40300],{"className":40281},[1955],[1952,40283,40285],{"className":40284},[1959],[1961,40286,40287],{"xmlns":1963},[1965,40288,40289,40297],{},[1968,40290,40291,40293,40295],{},[1971,40292,1973],{},[2015,40294,8665],{},[1971,40296,40233],{},[1975,40298,40299],{"encoding":1977},"N > K",[1952,40301,40303,40322],{"className":40302,"ariaHidden":1982},[1981],[1952,40304,40306,40310,40313,40316,40319],{"className":40305},[1986],[1952,40307],{"className":40308,"style":40309},[1990],"height:0.7224em;vertical-align:-0.0391em;",[1952,40311,1973],{"className":40312,"style":1997},[1995,1996],[1952,40314],{"className":40315,"style":2057},[2056],[1952,40317,8665],{"className":40318},[2061],[1952,40320],{"className":40321,"style":2057},[2056],[1952,40323,40325,40328],{"className":40324},[1986],[1952,40326],{"className":40327,"style":1991},[1990],[1952,40329,40233],{"className":40330,"style":40248},[1995,1996],[1798,40332,40333,1946],{},[1850,40334,40335],{},"VCG推广",[1805,40337,40338,40341,40402],{},[1808,40339,40340],{},"每个竞标者报告对不同数量的估值",[1808,40342,40343,40344,40372,40373,40401],{},"分配 ",[1952,40345,40347,40360],{"className":40346},[1955],[1952,40348,40350],{"className":40349},[1959],[1961,40351,40352],{"xmlns":1963},[1965,40353,40354,40358],{},[1968,40355,40356],{},[1971,40357,40233],{},[1975,40359,40233],{"encoding":1977},[1952,40361,40363],{"className":40362,"ariaHidden":1982},[1981],[1952,40364,40366,40369],{"className":40365},[1986],[1952,40367],{"className":40368,"style":1991},[1990],[1952,40370,40233],{"className":40371,"style":40248},[1995,1996]," 个物品给估值最高的 ",[1952,40374,40376,40389],{"className":40375},[1955],[1952,40377,40379],{"className":40378},[1959],[1961,40380,40381],{"xmlns":1963},[1965,40382,40383,40387],{},[1968,40384,40385],{},[1971,40386,40233],{},[1975,40388,40233],{"encoding":1977},[1952,40390,40392],{"className":40391,"ariaHidden":1982},[1981],[1952,40393,40395,40398],{"className":40394},[1986],[1952,40396],{"className":40397,"style":1991},[1990],[1952,40399,40233],{"className":40400,"style":40248},[1995,1996]," 个竞标者",[1808,40403,40404],{},"每个赢家支付其存在对他人造成的外部性",[1798,40406,40407,1946],{},[1850,40408,40409],{},"挑战",[1805,40411,40412,40415],{},[1808,40413,40414],{},"需求相互依赖（如互补性、替代性）",[1808,40416,40417],{},"策略空间巨大",[1866,40419,40421],{"id":40420},"_72-组合拍卖-combinatorial-auction","7.2 组合拍卖 (Combinatorial Auction)",[1798,40423,40424,40427,40428,40431],{},[1850,40425,40426],{},"情形","：多个异质物品，竞标者对",[1850,40429,40430],{},"组合","有估值（超模或次模）",[1798,40433,40434,40436],{},[1850,40435,3397],{},"：频谱拍卖",[1805,40438,40439,40442],{},[1808,40440,40441],{},"不同地区的频谱牌照",[1808,40443,40444],{},"竞标者（电信公司）希望获得相邻地区的组合",[1798,40446,40447,40450],{},[1850,40448,40449],{},"FCC频谱拍卖","（Milgrom-Wilson设计）：",[1805,40452,40453,40456,40459],{},[1808,40454,40455],{},"同时多轮拍卖（Simultaneous Multiple Round Auction, SMRA）",[1808,40457,40458],{},"竞标者可以在多轮中调整出价",[1808,40460,40461],{},"价格发现过程",[1798,40463,40464,1946],{},[1850,40465,40466],{},"组合拍卖的困难",[1877,40468,40469,40475,40481],{},[1808,40470,40471,40474],{},[1850,40472,40473],{},"计算复杂性","：确定最优配置是NP-hard",[1808,40476,40477,40480],{},[1850,40478,40479],{},"策略复杂性","：竞标者难以确定最优策略",[1808,40482,40483,40486],{},[1850,40484,40485],{},"\"曝光问题\" (Exposure Problem)","：竞标互补物品时可能只赢得部分，导致亏损",[1794,40488,40490],{"id":40489},"八应用案例-applications","八、应用案例 (Applications)",[1866,40492,40494],{"id":40493},"_81-google广告拍卖-adwords","8.1 Google广告拍卖 (AdWords)",[1798,40496,40497,40499],{},[1850,40498,7961],{},"：多个广告位（搜索结果旁），多个广告主竞价",[1798,40501,40502,1946,40505],{},[1850,40503,40504],{},"机制",[1850,40506,40507],{},"广义二级价格拍卖 (Generalized Second-Price, GSP)",[1805,40509,40510,40654,40792],{},[1808,40511,40512,40513,40582,40583],{},"广告主出价 ",[1952,40514,40516,40533],{"className":40515},[1955],[1952,40517,40519],{"className":40518},[1959],[1961,40520,40521],{"xmlns":1963},[1965,40522,40523,40531],{},[1968,40524,40525],{},[2124,40526,40527,40529],{},[1971,40528,3489],{},[1971,40530,2013],{},[1975,40532,3494],{"encoding":1977},[1952,40534,40536],{"className":40535,"ariaHidden":1982},[1981],[1952,40537,40539,40542],{"className":40538},[1986],[1952,40540],{"className":40541,"style":2154},[1990],[1952,40543,40545,40548],{"className":40544},[1995],[1952,40546,3489],{"className":40547},[1995,1996],[1952,40549,40551],{"className":40550},[2165],[1952,40552,40554,40574],{"className":40553},[2169,2170],[1952,40555,40557,40571],{"className":40556},[2174],[1952,40558,40560],{"className":40559,"style":2179},[2178],[1952,40561,40562,40565],{"style":2248},[1952,40563],{"className":40564,"style":2187},[2186],[1952,40566,40568],{"className":40567},[2191,2192,2193,2194],[1952,40569,2013],{"className":40570},[1995,1996,2194],[1952,40572,2202],{"className":40573},[2201],[1952,40575,40577],{"className":40576},[2174],[1952,40578,40580],{"className":40579,"style":2209},[2178],[1952,40581],{},"，质量得分 ",[1952,40584,40586,40605],{"className":40585},[1955],[1952,40587,40589],{"className":40588},[1959],[1961,40590,40591],{"xmlns":1963},[1965,40592,40593,40602],{},[1968,40594,40595],{},[2124,40596,40597,40600],{},[1971,40598,40599],{},"q",[1971,40601,2013],{},[1975,40603,40604],{"encoding":1977},"q_i",[1952,40606,40608],{"className":40607,"ariaHidden":1982},[1981],[1952,40609,40611,40614],{"className":40610},[1986],[1952,40612],{"className":40613,"style":5885},[1990],[1952,40615,40617,40620],{"className":40616},[1995],[1952,40618,40599],{"className":40619,"style":5456},[1995,1996],[1952,40621,40623],{"className":40622},[2165],[1952,40624,40626,40646],{"className":40625},[2169,2170],[1952,40627,40629,40643],{"className":40628},[2174],[1952,40630,40632],{"className":40631,"style":2179},[2178],[1952,40633,40634,40637],{"style":17947},[1952,40635],{"className":40636,"style":2187},[2186],[1952,40638,40640],{"className":40639},[2191,2192,2193,2194],[1952,40641,2013],{"className":40642},[1995,1996,2194],[1952,40644,2202],{"className":40645},[2201],[1952,40647,40649],{"className":40648},[2174],[1952,40650,40652],{"className":40651,"style":2209},[2178],[1952,40653],{},[1808,40655,40656,40657,40791],{},"排名按 ",[1952,40658,40660,40687],{"className":40659},[1955],[1952,40661,40663],{"className":40662},[1959],[1961,40664,40665],{"xmlns":1963},[1965,40666,40667,40684],{},[1968,40668,40669,40675,40678],{},[2124,40670,40671,40673],{},[1971,40672,3489],{},[1971,40674,2013],{},[2015,40676,40677],{},"×",[2124,40679,40680,40682],{},[1971,40681,40599],{},[1971,40683,2013],{},[1975,40685,40686],{"encoding":1977},"b_i \\times q_i",[1952,40688,40690,40745],{"className":40689,"ariaHidden":1982},[1981],[1952,40691,40693,40696,40736,40739,40742],{"className":40692},[1986],[1952,40694],{"className":40695,"style":2154},[1990],[1952,40697,40699,40702],{"className":40698},[1995],[1952,40700,3489],{"className":40701},[1995,1996],[1952,40703,40705],{"className":40704},[2165],[1952,40706,40708,40728],{"className":40707},[2169,2170],[1952,40709,40711,40725],{"className":40710},[2174],[1952,40712,40714],{"className":40713,"style":2179},[2178],[1952,40715,40716,40719],{"style":2248},[1952,40717],{"className":40718,"style":2187},[2186],[1952,40720,40722],{"className":40721},[2191,2192,2193,2194],[1952,40723,2013],{"className":40724},[1995,1996,2194],[1952,40726,2202],{"className":40727},[2201],[1952,40729,40731],{"className":40730},[2174],[1952,40732,40734],{"className":40733,"style":2209},[2178],[1952,40735],{},[1952,40737],{"className":40738,"style":8948},[2056],[1952,40740,40677],{"className":40741},[5482],[1952,40743],{"className":40744,"style":8948},[2056],[1952,40746,40748,40751],{"className":40747},[1986],[1952,40749],{"className":40750,"style":5885},[1990],[1952,40752,40754,40757],{"className":40753},[1995],[1952,40755,40599],{"className":40756,"style":5456},[1995,1996],[1952,40758,40760],{"className":40759},[2165],[1952,40761,40763,40783],{"className":40762},[2169,2170],[1952,40764,40766,40780],{"className":40765},[2174],[1952,40767,40769],{"className":40768,"style":2179},[2178],[1952,40770,40771,40774],{"style":17947},[1952,40772],{"className":40773,"style":2187},[2186],[1952,40775,40777],{"className":40776},[2191,2192,2193,2194],[1952,40778,2013],{"className":40779},[1995,1996,2194],[1952,40781,2202],{"className":40782},[2201],[1952,40784,40786],{"className":40785},[2174],[1952,40787,40789],{"className":40788,"style":2209},[2178],[1952,40790],{},"（出价×质量）",[1808,40793,40794],{},"支付：下一名的出价×质量比率",[1798,40796,40797,40800],{},[1850,40798,40799],{},"非激励相容","：GSP不是DSIC（存在策略操纵空间）",[1798,40802,40803,40806],{},[1850,40804,40805],{},"但存在有效纳什均衡","（Edelman-Ostrovsky-Schwarz 2007）",[1866,40808,40810],{"id":40809},"_82-频谱拍卖","8.2 频谱拍卖",[1798,40812,40813,1946],{},[1850,40814,40815],{},"历史",[1805,40817,40818,40821,40824],{},[1808,40819,40820],{},"传统：政府免费分配或抽签（低效）",[1808,40822,40823],{},"1994年：美国FCC首次使用拍卖",[1808,40825,40826],{},"设计：Milgrom, Wilson, McAfee等经济学家参与",[1798,40828,40829,1946],{},[1850,40830,40409],{},[1805,40832,40833,40836,40839],{},[1808,40834,40835],{},"互补性（相邻地区）",[1808,40837,40838],{},"竞标者数量限制（反垄断）",[1808,40840,40841],{},"多轮价格发现",[1798,40843,40844,40847],{},[1850,40845,40846],{},"成功","：为政府筹集数百亿美元，并实现较优配置",[1866,40849,40851],{"id":40850},"_83-器官捐赠匹配","8.3 器官捐赠匹配",[1798,40853,40854,40857],{},[1850,40855,40856],{},"非金钱机制","：不能使用价格",[1798,40859,40860,1946],{},[1850,40861,40862],{},"肾脏交换 (Kidney Exchange)",[1805,40864,40865,40868],{},[1808,40866,40867],{},"配对捐赠：A的朋友捐给B，B的朋友捐给A",[1808,40869,40870],{},"需要匹配算法（非拍卖，但属于机制设计）",[1798,40872,40873,40876],{},[1850,40874,40875],{},"Roth-Sönmez-Ünver (2004)","：设计了肾脏交换机制",[1805,40878,40879,40882],{},[1808,40880,40881],{},"最大化匹配数量",[1808,40883,40884],{},"激励相容（医院愿意参与）",[1866,40886,40888],{"id":40887},"_84-碳排放权交易","8.4 碳排放权交易",[1798,40890,40891,1946],{},[1850,40892,40893],{},"总量管制与交易 (Cap-and-Trade)",[1805,40895,40896,40899,40902],{},[1808,40897,40898],{},"政府设定总排放量上限",[1808,40900,40901],{},"拍卖排放许可证",[1808,40903,40904],{},"企业可交易许可证",[1798,40906,40907,1946],{},[1850,40908,40909],{},"机制设计问题",[1805,40911,40912,40915,40918],{},[1808,40913,40914],{},"初始分配（拍卖 vs. 免费发放）",[1808,40916,40917],{},"防止操纵和囤积",[1808,40919,40920],{},"跨期动态",[1794,40922,40924],{"id":40923},"直觉总结-intuitive-summary","直觉总结 (Intuitive Summary)",[1866,40926,40927],{"id":40927},"核心洞见",[1877,40929,40930,40943,40959,40975],{},[1808,40931,40932,40935],{},[1850,40933,40934],{},"显示原理的力量",[1805,40936,40937,40940],{},[1808,40938,40939],{},"复杂机制可简化为\"让参与者说真话\"的直接机制",[1808,40941,40942],{},"机制设计变成约束优化问题",[1808,40944,40945,40948],{},[1850,40946,40947],{},"VCG的精妙之处",[1805,40949,40950,40953,40956],{},[1808,40951,40952],{},"参与者支付的是其对他人的外部性",[1808,40954,40955],{},"将个人激励与社会目标对齐",[1808,40957,40958],{},"实现优势策略激励相容",[1808,40960,40961,40964],{},[1850,40962,40963],{},"收入等价的启示",[1805,40965,40966,40969,40972],{},[1808,40967,40968],{},"在IPV模型下，不同拍卖格式收益相同",[1808,40970,40971],{},"关键是配置规则，而非支付形式",[1808,40973,40974],{},"但现实中可能因风险规避、合谋等因素打破等价",[1808,40976,40977,40980],{},[1850,40978,40979],{},"效率 vs. 收益",[1805,40981,40982,40985,40988],{},[1808,40983,40984],{},"VCG实现效率但不一定最大化收益",[1808,40986,40987],{},"Myerson最优拍卖牺牲部分效率来提取信息租金",[1808,40989,40990],{},"保留价是收益最大化的关键工具",[1866,40992,40993],{"id":40993},"机制设计的权衡",[18382,40995,40996,41008],{},[18385,40997,40998],{},[18388,40999,41000,41002,41004,41006],{},[18391,41001,3059],{},[18391,41003,40504],{},[18391,41005,17702],{},[18391,41007,17715],{},[18403,41009,41010,41026,41042,41058],{},[18388,41011,41012,41017,41020,41023],{},[18408,41013,41014],{},[1850,41015,41016],{},"效率",[18408,41018,41019],{},"VCG",[18408,41021,41022],{},"优势策略IC，实现社会最优",[18408,41024,41025],{},"收益不是最优，易合谋",[18388,41027,41028,41033,41036,41039],{},[18408,41029,41030],{},[1850,41031,41032],{},"收益最大化",[18408,41034,41035],{},"Myerson最优拍卖",[18408,41037,41038],{},"最大化卖家收益",[18408,41040,41041],{},"可能非效率，需知道分布",[18388,41043,41044,41049,41052,41055],{},[18408,41045,41046],{},[1850,41047,41048],{},"简单性",[18408,41050,41051],{},"英式\u002F二级价格",[18408,41053,41054],{},"容易理解，激励真实出价",[18408,41056,41057],{},"信息泄露，不一定最优",[18388,41059,41060,41065,41067,41070],{},[18408,41061,41062],{},[1850,41063,41064],{},"隐私",[18408,41066,18438],{},[18408,41068,41069],{},"保护竞标者信息",[18408,41071,41072],{},"需要复杂策略计算",[1866,41074,41075],{"id":41075},"实践中的考虑",[1877,41077,41078,41094,41107],{},[1808,41079,41080,41083],{},[1850,41081,41082],{},"信息假设",[1805,41084,41085,41088,41091],{},[1808,41086,41087],{},"理论假设独立私人估值",[1808,41089,41090],{},"现实可能有共同价值成分（如石油钻探权）",[1808,41092,41093],{},"\"赢家诅咒\"问题",[1808,41095,41096,41099],{},[1850,41097,41098],{},"合谋",[1805,41100,41101,41104],{},[1808,41102,41103],{},"重复拍卖易引发合谋",[1808,41105,41106],{},"密封拍卖更难合谋（但一旦合谋，更难检测）",[1808,41108,41109,41112],{},[1850,41110,41111],{},"有限理性",[1805,41113,41114,41117],{},[1808,41115,41116],{},"复杂机制（如VCG）可能难以理解",[1808,41118,41119],{},"二级价格拍卖虽简单，仍有人不理解",[1794,41121,41123],{"id":41122},"文献导读-literature-guide","文献导读 (Literature Guide)",[1798,41125,41126,1946],{},[1850,41127,41128],{},"奠基性论文",[1805,41130,41131,41139,41145,41151,41157],{},[1808,41132,41133,41134,41138],{},"Vickrey, W. (1961). \"Counterspeculation, Auctions, and Competitive Sealed Tenders.\" ",[41135,41136,41137],"em",{},"Journal of Finance",".",[1808,41140,41141,41142,41138],{},"Clarke, E. (1971). \"Multipart Pricing of Public Goods.\" ",[41135,41143,41144],{},"Public Choice",[1808,41146,41147,41148,41138],{},"Groves, T. (1973). \"Incentives in Teams.\" ",[41135,41149,41150],{},"Econometrica",[1808,41152,41153,41154,41138],{},"Myerson, R. (1981). \"Optimal Auction Design.\" ",[41135,41155,41156],{},"Mathematics of Operations Research",[1808,41158,41159,41160,41138],{},"Milgrom, P., & Weber, R. (1982). \"A Theory of Auctions and Competitive Bidding.\" ",[41135,41161,41150],{},[1798,41163,41164,1946],{},[1850,41165,41166],{},"教科书",[1805,41168,41169,41176,41183],{},[1808,41170,41171,41172,41175],{},"Krishna, V. (2009). ",[41135,41173,41174],{},"Auction Theory"," (2nd ed.). Academic Press.",[1808,41177,41178,41179,41182],{},"Milgrom, P. (2004). ",[41135,41180,41181],{},"Putting Auction Theory to Work",". Cambridge University Press.",[1808,41184,41185,41186,41189],{},"Börgers, T. (2015). ",[41135,41187,41188],{},"An Introduction to the Theory of Mechanism Design",". Oxford.",[1798,41191,41192,1946],{},[1850,41193,41194],{},"应用文献",[1805,41196,41197,41200,41207],{},[1808,41198,41199],{},"Milgrom, P., & Wilson, R. (2020 诺贝尔演讲). \"Auction Design and New Markets.\"",[1808,41201,41202,41203,41206],{},"Roth, A. (2015). ",[41135,41204,41205],{},"Who Gets What — and Why",". Houghton Mifflin. (市场设计通俗读物)",[1808,41208,41209,41210,41138],{},"Edelman, B., Ostrovsky, M., & Schwarz, M. (2007). \"Internet Advertising and the Generalized Second-Price Auction.\" ",[41135,41211,41212],{},"AER",[1798,41214,41215,1946],{},[1850,41216,41217],{},"前沿话题",[1805,41219,41220,41223,41226,41229],{},[1808,41221,41222],{},"算法博弈论与在线机制设计",[1808,41224,41225],{},"多维机制设计（多个私人信息维度）",[1808,41227,41228],{},"动态机制设计（跨期问题）",[1808,41230,41231],{},"区块链与去中心化机制",[1794,41233,41234],{"id":41234},"本章小结",[1798,41236,41237,41238,41240,41241,41244,41245,41248,41249,41251],{},"机制设计理论为我们提供了一套系统的工具，用于在信息不对称的环境下设计最优的制度和规则。",[1850,41239,5351],{},"极大地简化了问题，使我们可以专注于激励相容的直接机制。",[1850,41242,41243],{},"VCG机制","实现了优势策略激励相容和效率配置，但牺牲了收益最大化。",[1850,41246,41247],{},"收入等价定理","揭示了在标准假设下，不同拍卖格式的收益相同，关键在于配置规则。",[1850,41250,41035],{},"通过引入保留价和基于虚拟估值的配置规则，实现了收益最大化，但可能牺牲效率。",[1798,41253,41254],{},"拍卖理论已经从象牙塔走向实践，应用于频谱拍卖、在线广告、政府采购等多个领域，产生了巨大的经济和社会价值。机制设计的思想也延伸到市场设计（如学校选择、器官捐赠匹配），成为现代微观经济学最具影响力的分支之一。",[1794,41256,41257],{"id":41257},"自学检查",[1798,41259,41260,41263],{},[1850,41261,41262],{},"核心直觉回看","：机制设计不是问“给定规则下人们怎么行动”，而是反过来问“想实现某个结果时，规则应该怎么设计”。由于参与者有私人信息，规则必须让说真话或采取目标行动成为最优选择。",[1798,41265,41266,41269,41270,41314,41315,41359],{},[1850,41267,41268],{},"关键模型提醒","：直接机制由配置规则 ",[1952,41271,41273,41293],{"className":41272},[1955],[1952,41274,41276],{"className":41275},[1959],[1961,41277,41278],{"xmlns":1963},[1965,41279,41280,41290],{},[1968,41281,41282,41284,41286,41288],{},[1971,41283,2834],{},[2015,41285,2303],{"stretchy":2302},[1971,41287,2128],{},[2015,41289,2312],{"stretchy":2302},[1975,41291,41292],{"encoding":1977},"x(\\theta)",[1952,41294,41296],{"className":41295,"ariaHidden":1982},[1981],[1952,41297,41299,41302,41305,41308,41311],{"className":41298},[1986],[1952,41300],{"className":41301,"style":2380},[1990],[1952,41303,2834],{"className":41304},[1995,1996],[1952,41306,2303],{"className":41307},[2426],[1952,41309,2128],{"className":41310,"style":2161},[1995,1996],[1952,41312,2312],{"className":41313},[2470]," 和转移支付 ",[1952,41316,41318,41338],{"className":41317},[1955],[1952,41319,41321],{"className":41320},[1959],[1961,41322,41323],{"xmlns":1963},[1965,41324,41325,41335],{},[1968,41326,41327,41329,41331,41333],{},[1971,41328,12116],{},[2015,41330,2303],{"stretchy":2302},[1971,41332,2128],{},[2015,41334,2312],{"stretchy":2302},[1975,41336,41337],{"encoding":1977},"t(\\theta)",[1952,41339,41341],{"className":41340,"ariaHidden":1982},[1981],[1952,41342,41344,41347,41350,41353,41356],{"className":41343},[1986],[1952,41345],{"className":41346,"style":2380},[1990],[1952,41348,12116],{"className":41349},[1995,1996],[1952,41351,2303],{"className":41352},[2426],[1952,41354,2128],{"className":41355,"style":2161},[1995,1996],[1952,41357,2312],{"className":41358},[2470]," 组成。核心约束是激励相容：",[1952,41361,41363],{"className":41362},[3565],[1952,41364,41366,41535],{"className":41365},[1955],[1952,41367,41369],{"className":41368},[1959],[1961,41370,41371],{"xmlns":1963,"display":3574},[1965,41372,41373,41532],{},[1968,41374,41375,41381,41383,41385,41387,41393,41395,41405,41407,41409,41415,41417,41423,41425,41435,41437,41440,41446,41448,41450,41456,41458,41460,41462,41472,41474,41484,41486,41488,41494,41496,41506,41508,41518,41520,41522,41528,41530],{},[2124,41376,41377,41379],{},[1971,41378,2827],{},[1971,41380,2013],{},[2015,41382,2303],{"stretchy":2302},[1971,41384,2834],{},[2015,41386,2303],{"stretchy":2302},[2124,41388,41389,41391],{},[1971,41390,2128],{},[1971,41392,2013],{},[2015,41394,2024],{"separator":1982},[2124,41396,41397,41399],{},[1971,41398,2128],{},[1968,41400,41401,41403],{},[2015,41402,3607],{},[1971,41404,2013],{},[2015,41406,2312],{"stretchy":2302},[2015,41408,2024],{"separator":1982},[2124,41410,41411,41413],{},[1971,41412,12116],{},[1971,41414,2013],{},[2015,41416,2303],{"stretchy":2302},[2124,41418,41419,41421],{},[1971,41420,2128],{},[1971,41422,2013],{},[2015,41424,2024],{"separator":1982},[2124,41426,41427,41429],{},[1971,41428,2128],{},[1968,41430,41431,41433],{},[2015,41432,3607],{},[1971,41434,2013],{},[2015,41436,2312],{"stretchy":2302},[2015,41438,41439],{"separator":1982},";",[2124,41441,41442,41444],{},[1971,41443,2128],{},[1971,41445,2013],{},[2015,41447,2312],{"stretchy":2302},[2015,41449,3624],{},[2124,41451,41452,41454],{},[1971,41453,2827],{},[1971,41455,2013],{},[2015,41457,2303],{"stretchy":2302},[1971,41459,2834],{},[2015,41461,2303],{"stretchy":2302},[2124,41463,41464,41470],{},[3119,41465,41466,41468],{"accent":1982},[1971,41467,2128],{},[2015,41469,3125],{},[1971,41471,2013],{},[2015,41473,2024],{"separator":1982},[2124,41475,41476,41478],{},[1971,41477,2128],{},[1968,41479,41480,41482],{},[2015,41481,3607],{},[1971,41483,2013],{},[2015,41485,2312],{"stretchy":2302},[2015,41487,2024],{"separator":1982},[2124,41489,41490,41492],{},[1971,41491,12116],{},[1971,41493,2013],{},[2015,41495,2303],{"stretchy":2302},[2124,41497,41498,41504],{},[3119,41499,41500,41502],{"accent":1982},[1971,41501,2128],{},[2015,41503,3125],{},[1971,41505,2013],{},[2015,41507,2024],{"separator":1982},[2124,41509,41510,41512],{},[1971,41511,2128],{},[1968,41513,41514,41516],{},[2015,41515,3607],{},[1971,41517,2013],{},[2015,41519,2312],{"stretchy":2302},[2015,41521,41439],{"separator":1982},[2124,41523,41524,41526],{},[1971,41525,2128],{},[1971,41527,2013],{},[2015,41529,2312],{"stretchy":2302},[1971,41531,41138],{"mathvariant":2138},[1975,41533,41534],{"encoding":1977},"u_i(x(\\theta_i,\\theta_{-i}),t_i(\\theta_i,\\theta_{-i});\\theta_i)\n\\ge\nu_i(x(\\hat\\theta_i,\\theta_{-i}),t_i(\\hat\\theta_i,\\theta_{-i});\\theta_i).",[1952,41536,41538,41890],{"className":41537,"ariaHidden":1982},[1981],[1952,41539,41541,41544,41584,41587,41590,41593,41633,41636,41639,41685,41688,41691,41694,41734,41737,41777,41780,41783,41829,41832,41835,41838,41878,41881,41884,41887],{"className":41540},[1986],[1952,41542],{"className":41543,"style":2380},[1990],[1952,41545,41547,41550],{"className":41546},[1995],[1952,41548,2827],{"className":41549},[1995,1996],[1952,41551,41553],{"className":41552},[2165],[1952,41554,41556,41576],{"className":41555},[2169,2170],[1952,41557,41559,41573],{"className":41558},[2174],[1952,41560,41562],{"className":41561,"style":2179},[2178],[1952,41563,41564,41567],{"style":2248},[1952,41565],{"className":41566,"style":2187},[2186],[1952,41568,41570],{"className":41569},[2191,2192,2193,2194],[1952,41571,2013],{"className":41572},[1995,1996,2194],[1952,41574,2202],{"className":41575},[2201],[1952,41577,41579],{"className":41578},[2174],[1952,41580,41582],{"className":41581,"style":2209},[2178],[1952,41583],{},[1952,41585,2303],{"className":41586},[2426],[1952,41588,2834],{"className":41589},[1995,1996],[1952,41591,2303],{"className":41592},[2426],[1952,41594,41596,41599],{"className":41595},[1995],[1952,41597,2128],{"className":41598,"style":2161},[1995,1996],[1952,41600,41602],{"className":41601},[2165],[1952,41603,41605,41625],{"className":41604},[2169,2170],[1952,41606,41608,41622],{"className":41607},[2174],[1952,41609,41611],{"className":41610,"style":2179},[2178],[1952,41612,41613,41616],{"style":2182},[1952,41614],{"className":41615,"style":2187},[2186],[1952,41617,41619],{"className":41618},[2191,2192,2193,2194],[1952,41620,2013],{"className":41621},[1995,1996,2194],[1952,41623,2202],{"className":41624},[2201],[1952,41626,41628],{"className":41627},[2174],[1952,41629,41631],{"className":41630,"style":2209},[2178],[1952,41632],{},[1952,41634,2024],{"className":41635},[2078],[1952,41637],{"className":41638,"style":2082},[2056],[1952,41640,41642,41645],{"className":41641},[1995],[1952,41643,2128],{"className":41644,"style":2161},[1995,1996],[1952,41646,41648],{"className":41647},[2165],[1952,41649,41651,41677],{"className":41650},[2169,2170],[1952,41652,4165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支付让每个人支付其存在对其他人造成的外部性。",[1866,42296,42297],{"id":42297},"常见误区",[1805,42299,42300,42303,42306,42309],{},[1808,42301,42302],{},"认为显示原理说明“所有机制都让人说真话”。它说明可实现结果可以用某个直接真实机制复制。",[1808,42304,42305],{},"把 VCG 机制等同于收入最大化。VCG追求效率，不保证平台或政府收入最高。",[1808,42307,42308],{},"忽略收入等价定理的假设：风险中性、独立私有价值、对称竞标者等条件缺一不可。",[1808,42310,42311],{},"在一级价格拍卖中让竞标者如实出价。一级价格拍卖通常需要策略性压价。",[1866,42313,42314],{"id":42314},"自测题",[1877,42316,42317,42320,42323,42326,42329],{},[1808,42318,42319],{},"什么是直接机制？它与间接机制有什么区别？",[1808,42321,42322],{},"用一句话解释显示原理为什么能简化机制设计问题。",[1808,42324,42325],{},"二价拍卖中，为什么如实出价是占优策略？",[1808,42327,42328],{},"VCG 支付中的“外部性成本”具体指什么？",[1808,42330,42331],{},"Myerson 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