Generalized potentials and robust sets of equilibria

• 成果类型: Article
• 署名作者: Morris, S; Ui, T
• 署名单位: Yale University; Yokohama National University
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2004.06.009
• 发表日期: 2005
• 页码: 45-78
• 关键词: Incomplete information; potential; refinements; Robustness

摘要

This paper introduces generalized potential functions of complete information games and studies the robustness of sets of equilibria to incomplete information. A set of equilibria of a complete information game is robust if every incomplete information game where payoffs are almost always given by the complete information game has an equilibrium which generates behavior close to some equilibrium in the set. This paper provides sufficient conditions for the robustness of sets of equilibria in terms of argmax sets of generalized potential functions. These sufficient conditions unify and generalize existing sufficient conditions. Our generalization of potential games is useful in other game theoretic problems where potential methods have been applied. (c) 2004 Elsevier Inc. All rights reserved.