{"title":"Coarse Revealed Preference","authors":"Gaoji Hu, Jiangtao Li, J. Quah, Rui Tang","doi":"10.2139/ssrn.3303602","DOIUrl":null,"url":null,"abstract":"We identify necessary and sufficient conditions under which a coarse data set can be coarsely rationalized by a linear order (or weak order). The conditions are easy to check, and efficient algorithms are provided. We apply our theory to investigate the observable restrictions of several economic models including (1) rational choice with imperfect observation; (2) multiple preferences; (3) monotone multiple preferences; and (4) minimax regret.","PeriodicalId":431230,"journal":{"name":"ERN: Consumption","volume":"99 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ERN: Consumption","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3303602","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We identify necessary and sufficient conditions under which a coarse data set can be coarsely rationalized by a linear order (or weak order). The conditions are easy to check, and efficient algorithms are provided. We apply our theory to investigate the observable restrictions of several economic models including (1) rational choice with imperfect observation; (2) multiple preferences; (3) monotone multiple preferences; and (4) minimax regret.