Evolutionary stability and lexicographic preferences

• 成果类型: Article
• 署名作者: Samuelson, L; Swinkels, JM
• 署名单位: University of Wisconsin System; University of Wisconsin Madison; Washington University (WUSTL)
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/S0899-8256(03)00049-6
• 发表日期: 2003
• 页码: 332-342
• 关键词: lexicographic preferences; evolutionary stability; complexity; lexicographic nash equilibrium

摘要

We explore the interaction between evolutionary stability and lexicographic preferences. To do so, we define a limit Nash equilibrium for a lexicographic game as the limit of Nash equilibria of nearby games with continuous preferences. Nash equilibria of lexicographic games are limit Nash equilibria, but not conversely. Modified evolutionarily stable strategies (Binmore and Samuelson, 1992. J. Econ. Theory 57, 278-305) are limit Nash equilibria. Modified evolutionary stability differs from lexicographic evolutionarily stability (defined by extending the common characterization of evolutionary stability to lexicographic preferences) in the order in which limits in the payoff space and the space of invasion barriers are taken. (C) 2003 Elsevier Inc. All rights reserved.