{"title":"用扇形假设解释Ellsberg n色问题","authors":"K. Sharpe","doi":"10.2139/ssrn.2630445","DOIUrl":null,"url":null,"abstract":"This paper shows that decision makers who maximize expected utility on a ring of hypercomplex numbers, and who have indifference curves that ‘fan out’ in a well-defined way, act as Ellsberg predicted they would in the context of his n-colour problem.","PeriodicalId":174014,"journal":{"name":"PRN: Decision Theory (Topic)","volume":"171 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Explaining the Ellsberg N-Colour Problem by Way of a Fanning Out Hypothesis\",\"authors\":\"K. Sharpe\",\"doi\":\"10.2139/ssrn.2630445\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper shows that decision makers who maximize expected utility on a ring of hypercomplex numbers, and who have indifference curves that ‘fan out’ in a well-defined way, act as Ellsberg predicted they would in the context of his n-colour problem.\",\"PeriodicalId\":174014,\"journal\":{\"name\":\"PRN: Decision Theory (Topic)\",\"volume\":\"171 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-07-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"PRN: Decision Theory (Topic)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.2630445\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"PRN: Decision Theory (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.2630445","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Explaining the Ellsberg N-Colour Problem by Way of a Fanning Out Hypothesis
This paper shows that decision makers who maximize expected utility on a ring of hypercomplex numbers, and who have indifference curves that ‘fan out’ in a well-defined way, act as Ellsberg predicted they would in the context of his n-colour problem.