Abstract

Studies zero-sum and nonzero-sum stochastic games on a countable state space and with nonnegative (possibly unbounded) costs. For zero-sum games, conditions are given for the existence of an optimal randomized stationary strategy pair in the discounted and average cost cases. For discounted and average cost nonzero-sum games, conditions are given for the existence of a randomized stationary strategy vector that is a Nash equilibrium. The results are applied to various flow control situations that may be modeled as stochastic games. >

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