{"title":"双边匹配市场中的周期冲突与单核心","authors":"Bora Evci","doi":"10.2139/ssrn.3344803","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a new cycle criterion, Cyclical Conflicts (CCs), for preference profiles in two-sided matching markets through a dynamic mechanism. We first show that CCs provide a complete characterization of singleton cores in two-sided matching markets. Secondly, we prove the existence of a bijection between the CCs structures and the lattice structures of stable matchings.","PeriodicalId":172652,"journal":{"name":"ERN: Market Structure (Topic)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cyclical Conflicts and Singleton Cores in Two-Sided Matching Markets\",\"authors\":\"Bora Evci\",\"doi\":\"10.2139/ssrn.3344803\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose a new cycle criterion, Cyclical Conflicts (CCs), for preference profiles in two-sided matching markets through a dynamic mechanism. We first show that CCs provide a complete characterization of singleton cores in two-sided matching markets. Secondly, we prove the existence of a bijection between the CCs structures and the lattice structures of stable matchings.\",\"PeriodicalId\":172652,\"journal\":{\"name\":\"ERN: Market Structure (Topic)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ERN: Market Structure (Topic)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.3344803\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ERN: Market Structure (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3344803","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cyclical Conflicts and Singleton Cores in Two-Sided Matching Markets
In this paper, we propose a new cycle criterion, Cyclical Conflicts (CCs), for preference profiles in two-sided matching markets through a dynamic mechanism. We first show that CCs provide a complete characterization of singleton cores in two-sided matching markets. Secondly, we prove the existence of a bijection between the CCs structures and the lattice structures of stable matchings.