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Occupation measures arising in finite stochastic games
Bruno Jaffuel, Miquel Oliu-Barton · 2020-03-05 · via math.PR updates on arXiv.org

Shapley (1953) introduced two-player zero-sum discounted stochastic games, henceforth stochastic games, a model where a state variable follows a two-controlled Markov chain, the players receive rewards at each stage which add up to $0$, and each maximizes the normalized $\la$-discounted sum of stage rewards, for some fixed discount rate $\la\in(0,1]$. In this paper, we study asymptotic occupation measures arising in these games, as the discount rate goes to $0$.

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