Pairwise Mutual Knowledge and Correlated Rationalizability

We provide epistemic conditions for correlated rationalizability, which are considerably weaker than the ones by Zambrano (2008). More specifically, we simultaneously replace mutual knowledge of rationality and mutual knowledge of the event that every player deems possible only strategy profiles that belong to the support of her actual conjecture, with strictly weaker epistemic conditions of pairwise mutual knowledge of these events. Moreover, we show that our epistemic foundation for correlated rationalizability does not imply mutual knowledge of rationality.