Pursuit-Evasion Games and Zero-sum Two-person Differential Games

However, a central question in the theory of 2-person zero-sum stochastic differential games is that of sufficient conditions, under which the game ad- mits a value, that is,

Extensions of these results to games with lack of information on both sides were achieved by Mertens and Zamir (1971).. Introduction: Shapley Extensions of the Shapley operator

We give new proofs of existence of the limit of the discounted values for two person zero- sum games in the three following frameworks: absorbing, recursive, incomplete

Keywords Zero-sum stochastic games, Shapley operator, o-minimal structures, definable games, uniform value, nonexpansive mappings, nonlinear Perron-Frobenius theory,

Keywords Zero-sum stochastic games, Shapley operator, o-minimal structures, definable games, uniform value, nonexpansive mappings, nonlinear Perron-Frobenius theory,

Abstract: Consider a two-person zero-sum stochastic game with Borel state space S, compact metric action sets A, B and law of motion q such that the integral under q of every

Starting with Rosenberg and Sorin (2001) [15] several existence results for the asymptotic value have been obtained, based on the Shapley operator: continuous moves absorbing

• For other classes of stochastic games, where the existence of a limit value is still to establish : stochastic games with a finite number of states and compact sets of