Using an explicit representation in terms of the logit map we show, in a unilateral framework, that the time average of the replicator dynamics is a perturbed solution of the best reply dynamics.

L'approche en termes de systèmes dynamiques de l'approximation stochastique est étendue au cas ou l'équation différentielle moyenne est remplacée par une inclusion différentielle. Le théorème de Benaim et Hirsch sur l'ensemble limite est étendu a ce cas. On étudie en détail les...

Nous appliquons les résultats théoriques sur l'approximation stochastique et les inclusions differentielles développés dans Benaïm Hofbauer and Sorin (2003) à différentes procédures adapatatives utilisées en théorie des jeux en particulier: approchabilité classique et généralisées,...

We show that any correlation device with rational coefficients can be generated by a mechanism where each player sends a private message to a mediator who in turn makes a public deterministic announcement. Moreover, the mechanism suggested is immunized against individual deviations.

We deal with the concept of e-consistent equilibrium which corresponds to strategies inducing an e-equilbrium in any subgame reached along the play path. Examples and existence conditions are given.

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...

We deal with the concept of e-consistent equilibrium which corresponds to strategies inducing an e-equilbrium in any subgame reached along the play path. Examples and existence conditions are given.