We study repeated games with imperfect public monitoring and unequal discounting. We characterize the limit set of perfect and public equilibrium payoffs as discount factors converge to 1 with the relative patience between players fixed. We show that the pairwise and individual full rank...

Smith (1995) presented a necessary and sufficient condition for the finite- horizon perfect folk theorem. In the proof of this result, the author constructed a family of five-phase strategy profiles to approach feasible and individually rational payoff vec- tors of the stage-game. These strategy...

When subjects interact in continuous time, their ability to cooperate may dramatically increase. In an experiment, we study the impact of different time horizons on cooperation in (quasi) continuous time prisoner's dilemmas. We find that cooperation levels are similar or higher when the horizon...

This paper extends the framework of Kajii and Morris (1997) to study the question of robustness to incomplete information in repeated games. We show that dynamically robust equilibria can be characterized using a one-shot robustness principle that extends the one-shot deviation principle. Using...

We extend Fudenberg and Levine’s (1994) characterization of the limit set of perfect public equilibrium payoffs of repeated games with imperfect public monitoring as the discount factor approaches one to that of repeated games in which the set of public signals is a continuum. Using this...

Much of the repeated game literature is concerned with proving Folk Theorems. The logic of the exercise is to specify a particular game, and to explore for that game specification whether any given feasible (and individually rational) value vector can be an equilibrium outcome for some...

We propose an extension to smooth fictitious play and prove that play converges to an ε-Markov perfect equilibrium with probability one in a class of stochastic games known as Markov potential games. We then prove a partial Folk theorem for repeated games under one-period perfect monitoring. We...

I analyze the set of pure strategy subgame perfect Nash equilibria of any finitely repeated game with complete information and perfect monitoring. The main result is a complete characterization of the limit set, as the time horizon increases, of the set of pure strategy subgame perfect Nash...

We study two-player discounted repeated games in which one player cannot monitor the other unless he pays a fixed amount. It is well known that in such a model the folk theorem holds when the monitoring cost is on the order of magnitude of the stage payoff. We analyze high frequency games in...

This paper defines a general framework to study infinitely repeated games with time-dependent discounting, in which we distinguish and discuss both time-consistent and time-inconsistent preferences. To study the long-term properties of repeated games, we introduce an asymptotic condition to...