This paper investigates the Harsanyi (1973)-purifiability of mixed strategies in the repeated prisoners’ dilemma with perfect monitoring. We perturb the game so that in each period, a player receives a private payoff shock which is independently and identically distributed across players and...

We study stochastic games with an infinite horizon and sequential moves played by an arbitrary number of players. We assume that social memory is finite---every player, except possibly one, is finitely lived and cannot observe events that are sufficiently far back in the past. This class of...

We study stochastic games with an infinite horizon and sequential moves played by an arbitrary number of players. We assume that social memory is finite --every player, except possibly one, is finitely lived and cannot observe events that are sufficiently far back in the past. This class of...

We study perfect information games with an infinite horizon played by an arbitrary number of players. This class of games includes infinitely repeated perfect information games, repeated games with asynchronous moves, games with long and short run players, games with overlapping generations of...

A strategy profile in a repeated game has bounded recall L if play under the profile after two distinct histories that agree in the last L periods is equal. Mailath and Morris (2002, 2006) proved that any strict equilibrium in bounded-recall strategies of a game with full support public...

This paper investigates the Harsanyi (1973)-purifiability of mixed strategies in the repeated prisoners' dilemma with perfect monitoring. We perturb the game so that in each period, a player receives a private payoff shock which is independently and identically distributed across players and...

Some private-monitoring games, that is, games with no public histories, can have histories that are almost public. These games are the natural result of perturbing public-monitoring games towards private monitoring. We explore the extent to which it is possible to coordinate continuation play in...

This paper investigates the Harsanyi-purifiability of mixed strategies in the repeated prisoners' dilemma with perfect monitoring. We perturb the game so that in each period, a player receives a private payoff shock which is independently and identically distributed across players and periods....

We examine contemporaneous perfect E-equilibria, in which a player's actions after every history, evaluated at the point of deviation from the equilibrium, must be within of a best E response. This concept implies, but is stronger than, Radner's ex ante perfect E-equilibrium. A strategy profile...

We examine contemporaneous perfect equilibria, in which a player's actions after every history, evaluated at the point of deviation from the equilibrium, must be within of a best response. This concept implies, but is not implied by Radner's ex ante perfect equilibrium. A strategy profile is a...