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Cournot--Nash Equilibrium and Optimal Transport in a Dynamic Setting

Cournot--Nash Equilibrium and Optimal Transport in a Dynamic Setting

We consider a large population dynamic game in discrete time. The peculiarity of the game is that players are characterized by time-evolving types, and so reasonably their actions should not anticipate the future values of their types. When interactions between players are of mean field kind, we relate Nash equilibria …