Equilibrium existence in games with a concave Bayesian potential

• 成果类型: Article
• 署名作者: Einy, Ezra; Haimanko, Ori
• 署名单位: Ben-Gurion University of the Negev
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2020.07.009
• 发表日期: 2020
• 页码: 288-294
• 关键词: Bayesian games; Bayesian potential; Equilibrium existence; Concave payoffs; Absolute continuity; information structures

摘要

We establish existence of a pure-strategy Bayesian Nash equilibrium in Bayesian games that have a continuous and concave potential at all states of nature, without assuming absolute continuity of information. As an application, we show that Bayesian Nash equilibrium exists in many well-known games that have semi-quadratic payoffs (including Bertrand and Cournot oligopolies with linear demand), for general information structures. (C) 2020 Elsevier Inc. All rights reserved.