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continuous-time reinforcement learning 1controlled diffusions 1deterministic policy gradient 1large population limit 1McKean-Vlasov dynamics 1mean field control 1mean field games 1particle methods 1potential games 1propagation of chaos 1Wasserstein geometry 1

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20242026
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math.PR2025

Nonstationary nonzero-sum Markov games under a probability criterion

Xin Guo, Xin Wen

This paper deals with N-person nonzero-sum discrete-time Markov games under a probability criterion, in which the transition probabilities and reward functions are allowed to vary…