The scope of the hypothesis of Bayesian equilibrium

What behavior can be explained as the Bayes equilibrium of some game? The main finding is-almost anything. Given any Bayesian (coordination) game with positive priors, and given any vector of nondominated strategies. there is an increasing transformation of each utility function such that the given vector of strategies is a Bayes (Nash) equilibrium of the transformed game. Any nondominated behavior can be rationalized as Bayes equilibrium behavior. Some comments on the implications of these results for game theory are included