Perfect information stochastic games and related classes
International Journal of Game Theory
Mathematics of Operations Research
Mathematics of Operations Research
Subgame-Perfection in Quitting Games with Perfect Information and Differential Equations
Mathematics of Operations Research
Stochastic Games on a Product State Space
Mathematics of Operations Research
Perfect-Information Games with Lower-Semicontinuous Payoffs
Mathematics of Operations Research
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We consider a class of n-player stochastic games with the following properties: (1) in every state, the transitions are controlled by one player; (2) the payoffs are equal to zero in every nonabsorbing state; (3) the payoffs are nonnegative in every absorbing state. We propose a new iterative method to analyze these games. With respect to the expected average reward, we prove the existence of a subgame-perfect ε-equilibrium in pure strategies for every ε 0. Moreover, if all transitions are deterministic, we obtain a subgame-perfect 0-equilibrium in pure strategies.