Weak solutions for first order mean field games with local coupling

@inproceedings{Cardaliaguet2013WeakSF,
  title={Weak solutions for first order mean field games with local coupling},
  author={Pierre Cardaliaguet},
  year={2013}
}
Existence and uniqueness of a weak solution for first order mean field game systems with local coupling are obtained by variational methods. This solution can be used to devise ǫ−Nash equilibria for deterministic differential games with a finite (but large) number of players. For smooth data, the first component of the weak solution of the MFG system is proved to satisfy (in a viscosity sense) a time-space degenerate elliptic differential equation. Introduction This paper is devoted to the… CONTINUE READING

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