Repeated Games

A repeated game is where the stage game is repeated a number of times – the number of repetitions could be finite or infinite. We usually assume that (a) the stage game has a finite number of players, (b) for each player, the set of feasible actions for the stage game is finite, and (c) the stage game is simultaneous. For a finitely repeated game, the only subgame perfect equilibria of the repeated game are where a Nash equilibrium of the stage game is played in each period. For an infinitely repeated game, every feasible payoff vector that strictly dominates the players' minmax values can be sustained in equilibrium for sufficiently high discount factors