The present paper extends the standard model of pairwise communication among Bayesian agents to cases where the structure of the communication protocol is not commonly known. We show that, even under standard strict conditions on the structure of the protocols and the nature of the transmitted...

We consider agents who attach a rational probability to every Borel event. We call these Borel probability measures rational and introduce the notion of a rational belief hierarchy, where the first order beliefs are described by a rational measure over the fundamental space of uncertainty, the...