{"title":"可信的集","authors":"Mert Kimya","doi":"10.1016/j.jet.2025.106098","DOIUrl":null,"url":null,"abstract":"<div><div>A credible set is the set of stable states of an expectation satisfying internal and external stability as defined in <span><span>Dutta and Vohra (2017)</span></span>. We show that credible sets are characterized by two fundamental coalitional rationality axioms: basic coalitional rationality and farsighted rationality. Credible sets exist in a wide range of environments, including all finite games, and they provide a unifying framework for organizing prominent notions in the farsighted stability literature. Influential solution concepts such as the largest consistent set, the farsighted stable set, the (strong) rational expectations farsighted stable set, and the stable set when it does not suffer from the Harsanyi critique are all particular refinements of credible sets.</div></div>","PeriodicalId":48393,"journal":{"name":"Journal of Economic Theory","volume":"230 ","pages":"Article 106098"},"PeriodicalIF":1.2000,"publicationDate":"2025-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Credible sets\",\"authors\":\"Mert Kimya\",\"doi\":\"10.1016/j.jet.2025.106098\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A credible set is the set of stable states of an expectation satisfying internal and external stability as defined in <span><span>Dutta and Vohra (2017)</span></span>. We show that credible sets are characterized by two fundamental coalitional rationality axioms: basic coalitional rationality and farsighted rationality. Credible sets exist in a wide range of environments, including all finite games, and they provide a unifying framework for organizing prominent notions in the farsighted stability literature. Influential solution concepts such as the largest consistent set, the farsighted stable set, the (strong) rational expectations farsighted stable set, and the stable set when it does not suffer from the Harsanyi critique are all particular refinements of credible sets.</div></div>\",\"PeriodicalId\":48393,\"journal\":{\"name\":\"Journal of Economic Theory\",\"volume\":\"230 \",\"pages\":\"Article 106098\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2025-10-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Economic Theory\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022053125001449\",\"RegionNum\":3,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Economic Theory","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022053125001449","RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
A credible set is the set of stable states of an expectation satisfying internal and external stability as defined in Dutta and Vohra (2017). We show that credible sets are characterized by two fundamental coalitional rationality axioms: basic coalitional rationality and farsighted rationality. Credible sets exist in a wide range of environments, including all finite games, and they provide a unifying framework for organizing prominent notions in the farsighted stability literature. Influential solution concepts such as the largest consistent set, the farsighted stable set, the (strong) rational expectations farsighted stable set, and the stable set when it does not suffer from the Harsanyi critique are all particular refinements of credible sets.
期刊介绍:
The Journal of Economic Theory publishes original research on economic theory and emphasizes the theoretical analysis of economic models, including the study of related mathematical techniques. JET is the leading journal in economic theory. It is also one of nine core journals in all of economics. Among these journals, the Journal of Economic Theory ranks fourth in impact-adjusted citations.