desired coordination of actions even when a high order of mutual knowledge of payoff functions obtains. We want to make … explicit the role of knowledge about rationality of players, not only that of payoff functions. For this purpose, we use an … embedding belief systems, it is necessary that the upper bound order of mutual knowledge of payoff functions exceeds the upper …

-trivial unawareness among several individuals, and which satisfies strong properties of knowledge as well as all the desiderata on …

Aim: Develop a methodological approach to reduce uncertainty of knowledge necessary for decision making in quick … recognized as a good paradigm in Kuhn’s sense suitable to build certain knowledge in the uncertain surroundings. So, it is the … for decision making processes based on uncertain information and knowledge. In this paper a methodology of introduction …

realizable CURB set, represent the economy of knowledge of games' structures …

We provide a self-contained, selective overview of the literature on the role of knowledge and beliefs in game theory …

Aumann has shown that agents who have a common prior cannot have common knowledge of their posteriors for event $E$ if … common knowledge that the posteriors for $E$ \emph{do} coincide? We show that a necessary and sufficient condition for this … is the existence of a nonempty \emph{finite} event $F$ with the following two properties. First, it is common knowledge …