We discuss the issues that arise in modeling the notion of common belief of rationality in epistemic models of dynamic games, in particular at the level of interpretation of strategies. A strategy in a dynamic game is defined as a function that associates with every information set a choice at...

This is a slightly extended version of a chapter prepared for the Handbook of Logics for Knowledge and Belief edited by Hans van Ditmarsch, Joseph Y. Halpern, Wiebe van der Hoek, and Barteld Kooi, College Publications, London. In [5] (Int. J. Game Theory, 42:567-592, 2013) a general notion of...

In a companion paper we introduced a general notion of perfect Bayesian equilibrium which can be applied to arbitrary extensive-form games. The essential ingredient of the proposed definition is the qualitative notion of AGM-consistency. In this paper we provide an epistemic foundation for...

The temporal updating of an agent’s beliefs in response to a flow of information is modeled in a simple modal logic that, for every date t , contains a normal belief operator B_t and a non-normal information operator I_t which is analogous to the ‘only knowing’ operator discussed in the...

We propose a logic based on three modal operators, representing intial beliefs, information and revised beliefs. Three simple and transparent axioms are used to provide a sound and complete axiomatization of the qualitative part of Bayes'' rule. Some theorems of this logic are derived concerning...

Within the class of structures introduced in [G. Bonanno, Axiomatic characterization of the AGM theory of belief revision in a temporal logic, Artificial Intelligence, 171 (2007), 144-160] we consider the subclass satisfying the property that, for every state-instant pair (omega,t), there is an...

We provide a general notion of perfect Bayesian equilibrium which can be applied to arbitrary extensive-form games and is intermediate between subgame-perfect equilibrium and sequential equilibrium. The essential ingredient of the proposed definition is the qualitative notion of AGM-consistency,...