We introduce a game in preference form, which consists of a game form and a preference structure, and define preference rationalizability that allows for each player's ex-post preferences over outcomes to depend on opponents' actions. We show that preference rationalizability is invariant to...

An action is robustly rationalizable if it is rationalizable for every type who has almost common certainty of payoffs. We illustrate by means of an example that an action may not be robustly rationalizable even if it is weakly dominant, and argue that robust rationalizability is a very...

We study agents whose expected utility preferences are interdependent for informational or psychological reasons. We characterize when two types can be strategically distinguished in the sense that they are guaranteed to behave differently in some finite mechanism. We show that two types are...

This note demonstrates that symmetric 3x3 supermodular games may fail to have any equilibrium robust to incomplete information. Since the global game solution in these games is known to be independent of the noise structure, our result implies that a noise-independent selection in global games...

Players coordinate continuation play in repeated games with public monitoring. This paper asks the robustness of such equilibrium play with respect to private monitoring perturbations that are ex-ante close to the public-monitoring structure. We show that, in two-player games with full support...

We present an algorithm to compute the set of perfect public equilibrium payoffs as the discount factor tends to one for stochastic games with observable states and public (but not necessarily perfect) monitoring when the limiting set of (long-run players') equilibrium payoffs is independent of...

We show that a mechanism that robustly implements optimal outcomes in a one-dimensional supermodular environment continues to robustly implement ε-optimal outcomes in all close-by environments. Robust implementation of ε-optimal outcomes is thus robust to small perturbations of the...

We illustrate the corrosive effect of even small amounts of adverse selection in an asset market and how it can lead to the total breakdown of trade. The problem is the failure of 'market confidence' defined as approximate common knowledge of an upper bound on expected losses. Small probability...

We define and characterize a notion of correlated equilibrium for games with incomplete information, which we call Bayes correlated equilibrium: The set of outcomes that can arise in Bayes Nash equilibria of an incomplete information game where players may have access to additional signals...