AXIOMATIC CHARACTERIZATIONS OF SOLUTIONS FOR BAYESIAN GAMES

Bayesian equilibria are characterized by means of consistency and one- person rationality in combination with non-emptiness or converse consi stency. Moreover, strong and coalition-proof Bayesian equilibria of ex tended Bayesian games are introduced and it is seen that these notions can be characterized by means of consistency, one-person rationality, a version of Pareto optimality and a modification of converse consist ency. It is shown that, in case of the strong Bayesian equilibrium cor respondence, converse consistency can be replaced by non-emptiness. As examples we treat Bayesian potential games and Bayesian congestion ga mes.