Concave utility on finite sets

• 成果类型: Article
• 署名作者: Richter, MK; Wong, KC
• 署名单位: University of Minnesota System; University of Minnesota Twin Cities; Chinese University of Hong Kong
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/S0022-0531(03)00167-4
• 发表日期: 2004
• 页码: 341-357
• 关键词: concave utility; finite sets; Theorem of the Alternative

摘要

When does a preference relation on a finite set have a concave or a strictly concave utility function? We provide a complete answer. Our proof is an application of the Theorem of the Alternative, and constructs a concave utility if one exists. (C) 2003 Elsevier Inc. All rights reserved.