In a game with incomplete information players receive stochastic signals about the state of nature. The distribution of the signals given the state of nature is determined by the information structure. Different information structures may induce different equilibria.

Due to their many applications, large Bayesian games have been a subject of growing interest in game theory and related fields. But to a large extent, models (1) have been restricted to one-shot interaction, (2) are based on an assumption that player types are independent and (3) assume that the...

We study how to regulate a monopolistic firm using a robust-design, non-Bayesian approach. We derive a policy that minimizes the regulator's worst-case regret, where regret is the difference between the regulator's complete-information payoff and his realized payoff. When the regulator's payoff...

We introduce the dual of a stochastic game with incomplete information on one side, and we deduce some properties of optimal strategies of the uninformed player.

We study a class of symmetric strategic experimentation games. Each of two players faces an (exponential) two-armed bandit problem, and must decide when to stop experimenting with the risky arm. The equilibrium amount of experimentation depends on the degree to which experimentation outcomes are...