Optimal stopping in mean field games, an obstacle problem approach

@inproceedings{Bertucci2017OptimalSI,
  title={Optimal stopping in mean field games, an obstacle problem approach},
  author={Cesar Bertucci},
  year={2017}
}
This paper is interested in the problem of optimal stopping in a mean field game context. The notion of mixed solution is introduced to solve the system of partial differential equations which models this kind of problem. This notion emphasizes the fact that Nash equilibria of the game are in mixed strategies. Existence and uniqueness of such solutions are proved under general assumptions for both stationary and evolutive problems. 
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