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math.OC2014
Second order mean field games with degenerate diffusion and local coupling
Pierre Cardaliaguet, J. Graber, Alessio Porretta +1
We analyze a (possibly degenerate) second order mean field games system of partial differential equations. The distinguishing features of the model considered are (1) that it is no…
math.OC2014
Mean field games systems of first order
Pierre Cardaliaguet, Philip Jameson Graber
We consider a system of mean field games with local coupling in the deterministic limit. Under general structure conditions on the Hamiltonian and coupling, we prove existence and…