13 research outputs found
Markov Stationary Equilibria in Stochastic Supermodular Games with Imperfect Private and Public Information
Nonzero-sum Stochastic Games
This paper treats of stochastic games. We focus on nonzero-sum games and provide a detailed survey of
selected recent results. In Section 1, we consider stochastic Markov games. A correlation of strategies of the players, involving ``public signals'', is described, and a correlated equilibrium theorem proved recently by Nowak and Raghavan for discounted stochastic games with general state space is presented. We also report an extension of this result to a class of undiscounted stochastic games, satisfying some uniform ergodicity condition.
Stopping games are related to stochastic Markov games. In
Section 2, we describe a version of Dynkin's game related to
observation of a Markov process with random assignment mechanism of states to the players. Some recent contributions of the second author in this area are reported. The paper also contains a brief overview of the theory of nonzero-sum stochastic games and stopping games which is very far from being complete
Existence of a Pure Strategy Equilibrium in Markov Games with Strategic Complementarities for Finite Actions and States
Conditionally Stationary Equilibria in Discounted Dynamic Games
Dynamic game, Subgame perfect equilibrium, Penal code, Simple strategy, Stationary strategy,