Uniform folk theorems in repeated anonymous random matching games

Joyee Deb, Julio González-Díaz, Jérôme Renault

    Research output: Contribution to journalArticlepeer-review


    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.

    Original languageEnglish (US)
    Pages (from-to)1-23
    Number of pages23
    JournalGames and Economic Behavior
    StatePublished - Nov 1 2016


    • Anonymous random matching
    • Repeated games
    • Uniform equilibria

    ASJC Scopus subject areas

    • Finance
    • Economics and Econometrics


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