We study sequential equilibrium payoffs of a repeated game with local interaction and local monitoring. An undirected network determines both the interaction and the monitoring structure. When players do not discount the future, a sequentially rational Nash threats folk theorem holds without any...

In the current mobile world, repeated relationships (communities) must be self-sustained by its members. We formulate a framework in which some or all players strategically choose whether to repeat an N-person game or to terminate it. This dynamic game ends when a certain number of players...

In International Relations the canonical model of inter-estate interactions is a one-shot security competition game. The model has the structure of a prisoners dilemma, which results in an equilibrium with two sources of inefficiency: excessive arming and possibly the destruction associated with...

We present an algorithm to compute the set of perfect public equilibrium payoffs as the discount factor tends to one for stochastic games with observable states and public (but not necessarily perfect) monitoring when the limiting set of (long-run players') equilibrium payoffs is independent of...

In an irreducible stochastic game, no single player can prevent the stochastic process on states from being irreducible, so the other players can ensure that the current state has little effect on events in the distant future. This paper introduces stochastic games with imperfect public signals,...

This paper studies repeated games with imperfect public monitoring where the players are uncertain both about the payoff functions and about the relationship between the distribution of signals and the actions played. We introduce the concept of perfect public ex post equilibrium (PPXE), and...

We study the perfect type-contingently public ex-post equilibrium (PTXE) of repeated games with incomplete information where players observe imperfect public signals of the actions and the map from actions to signal distributions is itself unknown. The PTXE payoffs when players are patient are...