{"title":"高校招生问题中唯一且学生高效的稳定匹配的一个简单充分条件","authors":"Philip J. Reny","doi":"10.1007/s40505-020-00197-2","DOIUrl":null,"url":null,"abstract":"Consider the college admissions problem. Let us say that (student and college) preferences are student-oriented iff whenever two students disagree about the ranking of two colleges, each one of the two students is ranked higher by the college he prefers than the other student. We show that when preferences are oriented there is a unique stable matching, and that no other matching, stable or not, is weakly preferred by every student.","PeriodicalId":40852,"journal":{"name":"Economic Theory Bulletin","volume":"14 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"A simple sufficient condition for a unique and student-efficient stable matching in the college admissions problem\",\"authors\":\"Philip J. Reny\",\"doi\":\"10.1007/s40505-020-00197-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Consider the college admissions problem. Let us say that (student and college) preferences are student-oriented iff whenever two students disagree about the ranking of two colleges, each one of the two students is ranked higher by the college he prefers than the other student. We show that when preferences are oriented there is a unique stable matching, and that no other matching, stable or not, is weakly preferred by every student.\",\"PeriodicalId\":40852,\"journal\":{\"name\":\"Economic Theory Bulletin\",\"volume\":\"14 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-01-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Economic Theory Bulletin\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s40505-020-00197-2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economic Theory Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s40505-020-00197-2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
A simple sufficient condition for a unique and student-efficient stable matching in the college admissions problem
Consider the college admissions problem. Let us say that (student and college) preferences are student-oriented iff whenever two students disagree about the ranking of two colleges, each one of the two students is ranked higher by the college he prefers than the other student. We show that when preferences are oriented there is a unique stable matching, and that no other matching, stable or not, is weakly preferred by every student.
期刊介绍：
The purpose of Economic Theory Bulletin is to provide an outlet for research in all areas of Economics based on rigorous theoretical reasoning. The Economic Theory Bulletin together with Economic Theory are the official journals of the Society for the Advancement of Economic Theory.
The Economic Theory Bulletin is intended to publish:
1. Short papers/notes of substantial interest. Content is subject to the same standards as Economic Theory: research in all areas of economics based on rigorous theoretical reasoning and on topics in mathematics that are supported by the analysis of economic problems. Published articles contribute to the understanding and solution of substantive economic problems. Theory papers with the substance and style for other journals that specialize in short papers are welcomed. Corollaries of already known results in the literature are not appropriate for publication.
2. Survey papers that clearly picture the basic ideas at work in the area, the essential technical apparatus that is used and the central questions that remain open.
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