Real world players often increase their payoþs by voluntarily committing to play a .xed strategy, prior to the start of a strategic game. In fact, the players may further bene.t from commitments that are conditional on the commitments of others. This paper proposes a model of conditional...

Two players are about to play a discounted infinitely repeated bimatrix game. Each player knows his own payoff matrix and chooses a strategy which is a best response to some private beliefs over strategies chosen by his opponent. If both players' beliefs contain a grain of truth (each assigns...

Global games are real-valued functions defined on partitions (rather than subsets) of the set of players. They capture "public good" aspects of cooperation, i.e. situations where the payoff is naturally defined for all players ("the globe") together, as is the cause with issues of environmental...

Each of n players, in an infinitely repeated game, starts with subjective beliefs about his opponents' strategies. If the individual beliefs are compatible with the true strategies chose, then Bayesian updating will lead in the long run to accurate prediction of the future of play of the game....

At a private-beliefs equilibrium of an n-person infinitely repeated game with discounting, each player maximizes his expected payoff relative to some private, possibly false, belief regarding the strategies chosen by his opponents. Moreover, the probability distribution induced over the observed...

A player's strategy, for an n-person infinitely repeated game with discounting, is subjectively rational if it is a best response to his individual beliefs regarding opponents' strategies. A vector of such strategies is a subjective equilibrium if the play induced by it is realization equivalent...