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...

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...