Zero-sum semi-Markov games with a probability criterion

STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES（2022）

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摘要

In this paper, we consider a semi-Markov zero-sum stochastic game with a general state and finite action spaces. The performance is analysed via a probability criterion. Under suitable assumptions, we establish the existence of the value of the game and also characterize it through an optimality equation. In the process, we also prescribe a saddle point equilibrium.

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关键词

Zero-sum semi-Markov game, probability criterion, upper value, lower value, saddle point equilibrium

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