The theory of repeated games is concerned with the analysis of behavior in long-term interactions as opposed to one-shot situations; in this framework new objects occur in the form of threats, cooperative plans, signals, etc. that are deeply related to “real life” phenomena like altruism,...

The survey presents recent results in the theory of two-person zero-sum repeated games and their connections with differential and continuous-time games. The emphasis is made on the following (1) A general model allows to deal simultaneously with stochastic and informational aspects. (2) All...

Given an information structure a function that measures how the inferences made by the agents spread among the states is defined; it specifies for each event its impact at each state, for each agent. Several properties are established

Every two person repeated game of symmetric incomplete information, in which the signals sent at each stage to both players are identical and generated by a state and moves dependent probability distribution on a given finite alphabet, has an equilibrium payoff

The purpose of this note is to analyze some properties of two concepts that are widely used in game theory, namely information and rationality, and more specifically to clarify their relation. Starting with the basic approach where rationality is "maximisation given the information", one is led,...