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Markov--Nash Equilibria in Mean-Field Games with Discounted Cost

Markov--Nash Equilibria in Mean-Field Games with Discounted Cost

In this paper, we consider discrete-time dynamic games of the mean-field type with a finite number $N$ of agents subject to an infinite-horizon discounted-cost optimality criterion. The state space of each agent is a Polish space. At each time, the agents are coupled through the empirical distribution of their states, …