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""Convex preferences": a new definition"


 
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1. Title Title of document "Convex preferences": a new definition
 
2. Creator Author's name, affiliation Michael Richter; Baruch College, Zicklin School of Business and Royal Holloway, University of London
 
2. Creator Author's name, affiliation Ariel Rubinstein; School of Economics, Tel Aviv Univeristy and Department of Eocnomics, New York University
 
 
3. Subject Subject(s) Convex preferences, abstract convexity, maxmin utility
 
3. Subject Subject classification D01, C60
 
4. Description Abstract We suggest a concept of convexity of preferences that does not rely on any algebraic structure. A decision maker has in mind a set of orderings interpreted as evaluation criteria. A preference relation is defined to be convex when it satisfies the following: if for each criterion there is an element that is both inferior to b by the criterion and superior to a by the preference relation, then b is preferred to a. This definition generalizes the standard Euclidean definition of convex preferences. It is shown that under general conditions, any strict convex preference relation is represented by a maxmin of utility representations of the criteria. Some economic examples are provided.
 
5. Publisher Organizing agency, location Econometric Society
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2019-12-02
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format pdf
 
10. Identifier Universal Resource Indicator https://econtheory.org/ojs/index.php/te/article/view/20191169
 
11. Source Journal/conference title; vol., no. (year) Theoretical Economics; Volume 14, Number 4 (November 2019)
 
12. Language English=en en
 
15. Rights Copyright and permissions Authors who publish in Theoretical Economics will release their articles under the Creative Commons Attribution-NonCommercial license. This license allows anyone to copy and distribute the article for non-commercial purposes provided that appropriate attribution is given.