The authors modify the standard principal-agent model with oral hazard by allowing the contract to be renegotiated after the agent's choice of action and before the observation of the action's consequences. In equilibrium, the agent randomizes over effort levels. The optimal contract gives the...

A single, long-run player plays a simultaneous-move stage game against a sequence of opponents who only play once, but observe all previous play. If there is a positive prior probability that the long-run player will always play the pure strategy he would most like to commit himself to (his...

We characterize a generalization of discounted logistic choice that incorporates a parameter to capture different views the agent might have about the costs and benefits of larger choice sets. The discounted logit model used in the empirical literature is the special case that displays a...

In a self-confining equilibrium, each player's strategy is a best response to his beliefs about the play of his opponents and each player's beliefs are correct along the equilibrium path of play. Thus, if a self-confirming equilibrium occurs repeatedly, no player ever observes play that...

The authors study repeated games in which players observe a public outcome that imperfectly signals the actions played. They provide conditions guaranteeing that any feasible, individually rational payoff vector of the stage game can arise as a perfect equilibrium of the repeated game with...

The authors study the steady states of a system in which players learn about the strategies their opponents are playing by updating their Bayesian priors in light of their observations. Players are matched.at random to play a fixed extensive-form game and each player observes the realized...