{"title":"Representations","authors":"Gerardo Castillo Guzmán","doi":"10.4324/9780429292255-7","DOIUrl":"https://doi.org/10.4324/9780429292255-7","url":null,"abstract":". Let % be a binary relation on the set of simple lotteries over a countable outcome set Z . We provide necessary and sufficient conditions on % to guarantee the existence of a set U of von Neumann–Morgenstern utility functions u : Z → R such that p % q ⇐⇒ E p [ u ] ≥ E q [ u ] for all u ∈ U for all simple lotteries p, q . In such case, the set U is essentially unique. Then, we show that the analogue characterization does not hold if Z is uncountable. This provides an answer to an open question posed by Dubra, Maccheroni, and Ok in [J. Econom. Theory 115 (2004), no. 1, 118–133]. Lastly, we show that different continuity requirements on % allow for certain restrictions on the possible choices of the set U of utility functions (e.g., all utility functions are bounded), providing a wide family of expected multi-utility representations.","PeriodicalId":270852,"journal":{"name":"Local Experiences of Mining in Peru","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134470442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"By way of conclusion","authors":"Gerardo Castillo Guzmán","doi":"10.4324/9780429292255-8","DOIUrl":"https://doi.org/10.4324/9780429292255-8","url":null,"abstract":"","PeriodicalId":270852,"journal":{"name":"Local Experiences of Mining in Peru","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128469506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mobility","authors":"Gerardo Castillo Guzmán","doi":"10.4324/9780429292255-6","DOIUrl":"https://doi.org/10.4324/9780429292255-6","url":null,"abstract":"","PeriodicalId":270852,"journal":{"name":"Local Experiences of Mining in Peru","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127226461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Production","authors":"Gerardo Castillo Guzmán","doi":"10.4324/9780429292255-5","DOIUrl":"https://doi.org/10.4324/9780429292255-5","url":null,"abstract":"","PeriodicalId":270852,"journal":{"name":"Local Experiences of Mining in Peru","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132578394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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