Uniform folk theorems in repeated anonymous random matching games

• 成果类型: Article
• 署名作者: Deb, Joyee; Gonzalez-Diaz, Julio; Renault, Jerome
• 署名单位: Yale University; Universidade de Santiago de Compostela; Universite de Toulouse; Universite Toulouse 1 Capitole; Toulouse School of Economics
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2016.08.006
• 发表日期: 2016
• 页码: 1-23
• 关键词: Anonymous random matching; Uniform equilibria; repeated games

摘要

We study infinitely repeated anonymous random matching games played by communities of players, who only observe the outcomes of their own matches. It is well known that cooperation can be sustained in equilibrium for the prisoner's dilemma, but little is known beyond this game. We study a new equilibrium concept, strongly uniform equilibrium (SUE), which refines uniform equilibrium (UE) and has additional properties. We establish folk theorems for general games and arbitrary number of communities. We extend the results to a setting with imperfect private monitoring, for the case of two communities. We also show that it is possible for some players to get equilibrium payoffs that are outside the set of individually rational and feasible payoffs of the stage game. As a by-product of our analysis, we prove that, in general repeated games with finite players, actions, and signals, the sets of UE and SUE payoffs coincide. (C) 2016 Elsevier Inc. All rights reserved.