The paper is a survey of the Aumann's and Schelling's main contributions to game theory. For Aumann, a distinction is made between his works devoted to cooperative and non cooperative games. As for Schelling, pure coordination games and focal points are underlined on one hand, and the collective...

Robert Aumann's groundbreaking career in game theory has spanned over 35 years. These two volumes provide convenient access to all of his major research--from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on...

Robert Aumann's groundbreaking career in game theory has spanned over 35 years. These two volumes provide convenient access to all of his major research--from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on...

Aumann(1976) has shown that agents who have a common prior cannot have common knowledge of their posteriors for event E if these posteriors do not coincide. But given an event E, can the agents have posteriors with a common prior such that it is common knowledge that the posteriors for E *do*...

Final goods producers, who may be intrinsically honest (a behavioral type) or opportunistic (strategic), play a repeated game of imperfect information with suppliers of an input of variable (and non-verifiable) quality. Returns to cheating are increasing in the proportion of intrinsically honest...

In this work we extend a result of Lehrer characterizing the correlated equilibrium payoffs in undiscounted two player repeated games with partial monitoring to the case in which the signals are permitted to be stochastic. In particular we develop appropriate versions of Lehrer's concepts of...

Suppose Player A is playing two apparently independent repeated games with two other people, B and C, with A randomly matched, each period, with either B or C. Each dyad maintains the maximum incentive-compatible level of cooperation within the dyad, even if cooperation has broken down in the...

We consider the asymptotic value of two person zero sum repeated games with general evaluations of the stream of stage payoffs. We show existence for incomplete information games, splitting games and absorbing games. The technique of proof consists in embedding the discrete repeated game into a...

Two players play an unknown zero-sum repeated game. Before the game starts one player may receive signals, whose nature is specified by an information structure, regarding the game actually played. We characterize when one information structure is better for the maximizer than another. We also...

Trust and trustworthiness are key elements, both at the micro and macro level, in sustaining the working of modern economies and their institutions. However, despite its centrality, trust continues to be considered as a “conceptual bumblebee”, it works in practice but not in theory. In...