{"title":"罗尔斯匹配","authors":"Mustafa Oğuz Afacan , Umut Dur","doi":"10.1016/j.mathsocsci.2024.04.002","DOIUrl":null,"url":null,"abstract":"<div><p>We apply the Rawlsian principle to a canonical discrete object allocation problem. A matching is Rawlsian if it is impossible to improve the ranking of assignment for the worst-off agent or reduce the cardinality of the set of the worst-off agent-body. None of the well-known mechanisms are Rawlsian. We introduce an efficient and Rawlsian class of mechanisms. Strategy-proofness is incompatible with Rawlsianism; therefore, no Rawlsian mechanism is strategy-proof.</p></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"129 ","pages":"Pages 101-106"},"PeriodicalIF":0.5000,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rawlsian Matching\",\"authors\":\"Mustafa Oğuz Afacan , Umut Dur\",\"doi\":\"10.1016/j.mathsocsci.2024.04.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We apply the Rawlsian principle to a canonical discrete object allocation problem. A matching is Rawlsian if it is impossible to improve the ranking of assignment for the worst-off agent or reduce the cardinality of the set of the worst-off agent-body. None of the well-known mechanisms are Rawlsian. We introduce an efficient and Rawlsian class of mechanisms. Strategy-proofness is incompatible with Rawlsianism; therefore, no Rawlsian mechanism is strategy-proof.</p></div>\",\"PeriodicalId\":51118,\"journal\":{\"name\":\"Mathematical Social Sciences\",\"volume\":\"129 \",\"pages\":\"Pages 101-106\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-04-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Social Sciences\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0165489624000416\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Social Sciences","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165489624000416","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
We apply the Rawlsian principle to a canonical discrete object allocation problem. A matching is Rawlsian if it is impossible to improve the ranking of assignment for the worst-off agent or reduce the cardinality of the set of the worst-off agent-body. None of the well-known mechanisms are Rawlsian. We introduce an efficient and Rawlsian class of mechanisms. Strategy-proofness is incompatible with Rawlsianism; therefore, no Rawlsian mechanism is strategy-proof.
期刊介绍：
The international, interdisciplinary journal Mathematical Social Sciences publishes original research articles, survey papers, short notes and book reviews. The journal emphasizes the unity of mathematical modelling in economics, psychology, political sciences, sociology and other social sciences.
Topics of particular interest include the fundamental aspects of choice, information, and preferences (decision science) and of interaction (game theory and economic theory), the measurement of utility, welfare and inequality, the formal theories of justice and implementation, voting rules, cooperative games, fair division, cost allocation, bargaining, matching, social networks, and evolutionary and other dynamics models.
Papers published by the journal are mathematically rigorous but no bounds, from above or from below, limits their technical level. All mathematical techniques may be used. The articles should be self-contained and readable by social scientists trained in mathematics.
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