{"title":"选择函数的理性稳定性","authors":"Josep E. Peris, Begoña Subiza","doi":"10.1111/ijet.12369","DOIUrl":null,"url":null,"abstract":"<p>Two independent approaches have been used to analyze choices. A prominent notion is rationalizability: individuals choose maximizing binary relations. An alternative is to analyze choices in terms of standards of behavior with the notion of von Neumann–Morgenstern (vNM)-stability. We introduce a new concept (<math>\n <semantics>\n <mrow>\n <mi>r</mi>\n <mo>-</mo>\n </mrow>\n <annotation> $r \\mbox{-} $</annotation>\n </semantics></math>stability) that in turn extends the notion of stability and rationality. Our main result establishes that every rationalizable choice function is <math>\n <semantics>\n <mrow>\n <mi>r</mi>\n <mo>-</mo>\n </mrow>\n <annotation> $r \\mbox{-} $</annotation>\n </semantics></math>stable and every vNM-stable choice has an <math>\n <semantics>\n <mrow>\n <mi>r</mi>\n <mo>-</mo>\n </mrow>\n <annotation> $r \\mbox{-} $</annotation>\n </semantics></math>stable selection. An appealing property of <math>\n <semantics>\n <mrow>\n <mi>r</mi>\n <mo>-</mo>\n </mrow>\n <annotation> $r \\mbox{-} $</annotation>\n </semantics></math>stability is that well-known solution concepts (top cycle, uncovered set, …) are <math>\n <semantics>\n <mrow>\n <mi>r</mi>\n <mo>-</mo>\n </mrow>\n <annotation> $r \\mbox{-} $</annotation>\n </semantics></math>stable, while they are neither rationalizable nor vNM-stable.</p>","PeriodicalId":44551,"journal":{"name":"International Journal of Economic Theory","volume":"19 3","pages":"580-598"},"PeriodicalIF":0.5000,"publicationDate":"2023-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/ijet.12369","citationCount":"0","resultStr":"{\"title\":\"Rational stability of choice functions\",\"authors\":\"Josep E. Peris, Begoña Subiza\",\"doi\":\"10.1111/ijet.12369\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Two independent approaches have been used to analyze choices. A prominent notion is rationalizability: individuals choose maximizing binary relations. An alternative is to analyze choices in terms of standards of behavior with the notion of von Neumann–Morgenstern (vNM)-stability. We introduce a new concept (<math>\\n <semantics>\\n <mrow>\\n <mi>r</mi>\\n <mo>-</mo>\\n </mrow>\\n <annotation> $r \\\\mbox{-} $</annotation>\\n </semantics></math>stability) that in turn extends the notion of stability and rationality. Our main result establishes that every rationalizable choice function is <math>\\n <semantics>\\n <mrow>\\n <mi>r</mi>\\n <mo>-</mo>\\n </mrow>\\n <annotation> $r \\\\mbox{-} $</annotation>\\n </semantics></math>stable and every vNM-stable choice has an <math>\\n <semantics>\\n <mrow>\\n <mi>r</mi>\\n <mo>-</mo>\\n </mrow>\\n <annotation> $r \\\\mbox{-} $</annotation>\\n </semantics></math>stable selection. An appealing property of <math>\\n <semantics>\\n <mrow>\\n <mi>r</mi>\\n <mo>-</mo>\\n </mrow>\\n <annotation> $r \\\\mbox{-} $</annotation>\\n </semantics></math>stability is that well-known solution concepts (top cycle, uncovered set, …) are <math>\\n <semantics>\\n <mrow>\\n <mi>r</mi>\\n <mo>-</mo>\\n </mrow>\\n <annotation> $r \\\\mbox{-} $</annotation>\\n </semantics></math>stable, while they are neither rationalizable nor vNM-stable.</p>\",\"PeriodicalId\":44551,\"journal\":{\"name\":\"International Journal of Economic Theory\",\"volume\":\"19 3\",\"pages\":\"580-598\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1111/ijet.12369\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Economic Theory\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1111/ijet.12369\",\"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":"International Journal of Economic Theory","FirstCategoryId":"96","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/ijet.12369","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
Two independent approaches have been used to analyze choices. A prominent notion is rationalizability: individuals choose maximizing binary relations. An alternative is to analyze choices in terms of standards of behavior with the notion of von Neumann–Morgenstern (vNM)-stability. We introduce a new concept (stability) that in turn extends the notion of stability and rationality. Our main result establishes that every rationalizable choice function is stable and every vNM-stable choice has an stable selection. An appealing property of stability is that well-known solution concepts (top cycle, uncovered set, …) are stable, while they are neither rationalizable nor vNM-stable.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
