{"title":"A perfectly robust approach to multiperiod matching problems","authors":"","doi":"10.1016/j.jet.2024.105919","DOIUrl":null,"url":null,"abstract":"<div><div>Many two-sided matching markets involve multiperiod interaction. Traditional cooperative solutions, such as pairwise stability or the core, often identify unintuitive outcomes (or are empty) when applied to such markets. As an alternative, this study proposes the criterion of perfect <em>α</em>-stability. An outcome is perfect <em>α</em>-stable if no coalition prefers an alternative assignment in any period that is superior for all plausible market continuations. The solution posits that agents have foresight, but cautiously evaluate possible future outcomes. A perfect <em>α</em>-stable matching exists, even when assignments are inter-temporal complements. The perfect <em>α</em>-core, a stronger solution, is nonempty under standard regularity conditions, such as history independence. Our analysis extends to markets with arrivals and departures, transfers, and many-to-one assignments.</div></div>","PeriodicalId":48393,"journal":{"name":"Journal of Economic Theory","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Economic Theory","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S002205312400125X","RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
Many two-sided matching markets involve multiperiod interaction. Traditional cooperative solutions, such as pairwise stability or the core, often identify unintuitive outcomes (or are empty) when applied to such markets. As an alternative, this study proposes the criterion of perfect α-stability. An outcome is perfect α-stable if no coalition prefers an alternative assignment in any period that is superior for all plausible market continuations. The solution posits that agents have foresight, but cautiously evaluate possible future outcomes. A perfect α-stable matching exists, even when assignments are inter-temporal complements. The perfect α-core, a stronger solution, is nonempty under standard regularity conditions, such as history independence. Our analysis extends to markets with arrivals and departures, transfers, and many-to-one assignments.
期刊介绍:
The Journal of Economic Theory publishes original research on economic theory and emphasizes the theoretical analysis of economic models, including the study of related mathematical techniques. JET is the leading journal in economic theory. It is also one of nine core journals in all of economics. Among these journals, the Journal of Economic Theory ranks fourth in impact-adjusted citations.