We consider agents whose language can only express probabilistic beliefs that attach a rationalnumber to every event. We call these probability measures rational. We introduce the notion of arational belief hierarchy, where the first order beliefs are described by a rational measure overthe...

In this paper we formalize the notion of lexicographic belief hierarchies in standard partitional models (Aumann, 1976). We introduce the notion of epistemic equivalence between two belief space, and show that the state space representation of lexicographic belief hierarchies is equivalent to...

In this paper we introduce the concept of rational probability measures. These are probabilitymeasures that map every Borel event to a rational number. We show that a rational probabilitymeasure has a finite support. As a consequence we prove a new version of Kolmogorov extensiontheorem. In the...

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

We provide epistemic conditions for Nash equilibrium, which are considerably weaker than thestandard ones by Aumann and Brandenburger (1995). Indeed, we simultaneously replace commonknowledge of conjectures and mutual knowledge of rationality with strictly weaker epistemicconditions of pairwise...

In this paper, we consider a finite set of agents with commonly known full-support priors on the fundamental space of uncertainty. Then, we show that if the hierarchies of conditional beliefs á la Battigalli and Siniscalchi (1999) are derived from these priors, then all types of the same agent...

We introduce and study a unified reasoning process which allows to represent the beliefs of both a fully rational agent and of an unaware one. This reasoning process provides natural properties to introspection and unawareness. The corresponding model for the rational or boundedly rational...

We conduct an experiment to study how imperfect knowledge of the state space affects subsequent choices under uncertainty with perfect knowledge of the state space. Participants in our experiment choose between a sure outcome and a lottery in 32 periods. All treatments are exactly identical in...

In this paper we provide a framework to reason about limited awareness of the action space in finitely repeated games. Our framework is rich enough to capture the full strategic aspect of limited awareness in a dynamic setting, taking into account the possibility that agents might want to reveal...

We provide epistemic conditions for correlated rationalizability, which are considerably weakerthan the ones by Zambrano (2008). More specifically, we simultaneously replace mutual knowledge ofrationality and mutual knowledge of the event that every player deems possible only strategyprofiles...