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International Journal of Game Theory / International Journal of Games Theory Vol.32,n°1 (2003) pp.133-150
The MaxMin value of stochastic games with imperfect monitoring
Dinah Rosenberg 1, Eilon Solan 2, Nicolas Vieille 3
(01/12/2003)

We study finite zero-sum stochastic games in which players do not observe the actions of their opponent. Rather, at each stage, each player observes a stochastic signal that may depend on the current state and on the pair of actions chosen by the players. We assume that each player observes the state and his/her own action. We prove that the uniform max-min value always exists. Moreover, the uniform max-min value is independent of the information structure of player 2. Symmetric results hold for the uniform min-max value.
1 :  Laboratoire Analyse, Géométrie et Application (LAGA)
CNRS : UMR7539 – Université Paris XIII - Paris Nord – Université Paris VIII - Vincennes Saint-Denis
2 :  Department of Statitics and Operation Research, Tel Aviv University
Tel-Abib University
3 :  Groupement de Recherche et d'Etudes en Gestion à HEC (GREGH)
GROUPE HEC – CNRS : UMR2959
Sciences de l'Homme et Société/Economies et finances
Stochastic games – Imperfect monitoring – Maxmin value – Minmax value