12 citations · 21 across the 18 of their papers we have counts for
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math.AP2015★ 1 cited
Existence and uniqueness of solutions for Bertrand and Cournot mean field games
P. Jameson Graber, Alain Bensoussan
We study a system of partial differential equations used to describe Bertrand and Cournot competition among a continuum of producers of an exhaustible resource. By deriving new a p…
math.AP2015★ 12 cited
Weak solutions for mean field games with congestion
Philip Jameson Graber
We study the short-time existence and uniqueness of solutions to a coupled system of partial differential equations arising in mean field game theory. It has the generic form $$ \l…