{"title":"Obvious representations","authors":"Lorenz Hartmann , Jean Baccelli","doi":"10.1016/j.jmateco.2025.103172","DOIUrl":null,"url":null,"abstract":"<div><div>Under standard assumptions, the respect of obvious dominance characterizes the existence of what we call <em>obvious representations</em>. We show that various conditions imposed directly on these representations pin down general monotonic, invariant bi-separable, general Choquet, convex Choquet, neo-additive Choquet, and subjective expected utility preferences. Among other insights, the alternative axiomatizations which we thus provide facilitate comparisons between models, as well as the identification of their parameters. Co-minimal and co-maximal acts — a natural generalization of co-monotonic acts, the relevance of which is further confirmed by our results — play a significant role in our analysis. Our results further testify of the fundamental importance of obvious dominance, and they offer a proof of concept that obvious representations constitute a fruitful format for axiomatic investigations.</div></div>","PeriodicalId":50145,"journal":{"name":"Journal of Mathematical Economics","volume":"121 ","pages":"Article 103172"},"PeriodicalIF":0.7000,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Economics","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0304406825000898","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
Under standard assumptions, the respect of obvious dominance characterizes the existence of what we call obvious representations. We show that various conditions imposed directly on these representations pin down general monotonic, invariant bi-separable, general Choquet, convex Choquet, neo-additive Choquet, and subjective expected utility preferences. Among other insights, the alternative axiomatizations which we thus provide facilitate comparisons between models, as well as the identification of their parameters. Co-minimal and co-maximal acts — a natural generalization of co-monotonic acts, the relevance of which is further confirmed by our results — play a significant role in our analysis. Our results further testify of the fundamental importance of obvious dominance, and they offer a proof of concept that obvious representations constitute a fruitful format for axiomatic investigations.
期刊介绍:
The primary objective of the Journal is to provide a forum for work in economic theory which expresses economic ideas using formal mathematical reasoning. For work to add to this primary objective, it is not sufficient that the mathematical reasoning be new and correct. The work must have real economic content. The economic ideas must be interesting and important. These ideas may pertain to any field of economics or any school of economic thought.