{"title":"Stability and substitutability in multi-period matching markets","authors":"Keisuke Bando , Ryo Kawasaki","doi":"10.1016/j.geb.2024.08.013","DOIUrl":null,"url":null,"abstract":"<div><p>We analyze a multi-period matching market where matching between agents is decided for each time period. To analyze this situation, we embed the situation into the framework of many-to-many matching with contracts where the contract includes the time period at which the matching occurs. While a general stability concept is already defined for the matching with contracts framework, in a multi-period matching model, a stable outcome may not exist when contracts exhibit complementarities across time periods. Thus, we define a weaker stability concept called temporal stability by taking into account the dynamic nature of the model. We provide sufficient conditions for the existence of a temporally stable outcome, including a corresponding substitutability condition, ordered substitutability, for the multi-period matching model.</p></div>","PeriodicalId":48291,"journal":{"name":"Games and Economic Behavior","volume":"147 ","pages":"Pages 533-553"},"PeriodicalIF":1.0000,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0899825624001180/pdfft?md5=28f8b4a22e95aa0f981637e8d0b29ffb&pid=1-s2.0-S0899825624001180-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Games and Economic Behavior","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0899825624001180","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
We analyze a multi-period matching market where matching between agents is decided for each time period. To analyze this situation, we embed the situation into the framework of many-to-many matching with contracts where the contract includes the time period at which the matching occurs. While a general stability concept is already defined for the matching with contracts framework, in a multi-period matching model, a stable outcome may not exist when contracts exhibit complementarities across time periods. Thus, we define a weaker stability concept called temporal stability by taking into account the dynamic nature of the model. We provide sufficient conditions for the existence of a temporally stable outcome, including a corresponding substitutability condition, ordered substitutability, for the multi-period matching model.
期刊介绍:
Games and Economic Behavior facilitates cross-fertilization between theories and applications of game theoretic reasoning. It consistently attracts the best quality and most creative papers in interdisciplinary studies within the social, biological, and mathematical sciences. Most readers recognize it as the leading journal in game theory. Research Areas Include: • Game theory • Economics • Political science • Biology • Computer science • Mathematics • Psychology