{"title":"Efficient Matching in the School Choice Problem","authors":"P. Reny","doi":"10.1257/aer.20210240","DOIUrl":null,"url":null,"abstract":"Stable matchings in school choice needn’t be Pareto efficient and can leave thousands of students worse off than necessary. Call a matching μ priority-neutral if no matching can make any student whose priority is violated by μ better off without violating the priority of some student who is made worse off. Call a matching priority-efficient if it is priority-neutral and Pareto efficient. We show that there is a unique priority-efficient matching and that it dominates every priority-neutral matching and every stable matching. Moreover, truth-telling is a maxmin optimal strategy for every student in the mechanism that selects the priority-efficient matching. (JEL C78, I21, I28)","PeriodicalId":48472,"journal":{"name":"American Economic Review","volume":"5 1","pages":""},"PeriodicalIF":10.5000,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Economic Review","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.1257/aer.20210240","RegionNum":1,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 8
Abstract
Stable matchings in school choice needn’t be Pareto efficient and can leave thousands of students worse off than necessary. Call a matching μ priority-neutral if no matching can make any student whose priority is violated by μ better off without violating the priority of some student who is made worse off. Call a matching priority-efficient if it is priority-neutral and Pareto efficient. We show that there is a unique priority-efficient matching and that it dominates every priority-neutral matching and every stable matching. Moreover, truth-telling is a maxmin optimal strategy for every student in the mechanism that selects the priority-efficient matching. (JEL C78, I21, I28)
期刊介绍:
The American Economic Review (AER) stands as a prestigious general-interest economics journal. Founded in 1911, it holds the distinction of being one of the nation's oldest and most esteemed scholarly journals in economics. With a commitment to academic excellence, the AER releases 12 issues annually, featuring articles that span a wide spectrum of economic topics.