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math.AP2017
Sobolev regularity for first order Mean Field Games
P. Jameson Graber, Alpár R. Mészáros
In this paper we obtain Sobolev estimates for weak solutions of first oder variational Mean Field Game systems with coupling terms that are local function of the density variable.…
math.AP2017
Variational mean field games for market competition
P. Jameson Graber, Charafeddine Mouzouni
In this paper, we explore Bertrand and Cournot Mean Field Games models for market competition with reflection boundary conditions. We prove existence, uniqueness and regularity of…