… We consider agents who attach a rational probability to every Borel … rational and introduce
the notion of a rational belief hierarchy, where the first order beliefs are described by a rational …

… Nash equilibrium in a very simple, completely standard type space where there is common
knowledge of rationality and common knowledge that the players’ beliefs are coherent. …

… of belief hierarchy and to a specific belief change context. The proposed belief hierarchy is
… It is possible to give a rational account of this strong intuition, and to explain the dynamic of …

… For instance, if N = {100}, an N-rational measure would describe the beliefs of an agent …
that a rational belief hierarchy is N-rational if all orders of beliefs are described by an N-rational …

… of beliefs. The focus of this paper is type structures that contain all hierarchies of beliefs…
Can the analyst identify these structures without explicit reference to hierarchies? That is, …

… What is the structure imposed on these beliefs by rationality? Are they … rational constraints
that can be imposed on partial beliefs? With the acquisition of new evidence, should beliefs …

… , hierarchies of beliefs are constructed. The notions of type and coherency are defined and
it is shown that a coherent type induces a belief … is a natural rationality assumption (it merely …

… of rationality are … of hierarchical rationality and religious beliefs system. But, before focusing
on our discussion regarding the semantics of hierarchical rationality of the religious beliefs …

… beliefs about each other's conditional beliefs, etc. To represent such statements, we construct
a space of infinite (coherent) hierarchies of … of the opponent's rationality conditonal on an …

… All other players are rational, ie, best respond to some belief about their opponents. A … of
his opponents: hierarchies of beliefs and type spaces. The hierarchies of beliefs approach is an …