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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.AP2011★ 5 cited
An analytic approach to the ergodic theory of stochastic variational inequalities
Alain Bensoussan, Laurent Mertz
In an earlier work made by the first author with J. Turi (Degenerate Dirichlet Problems Related to the Invariant Measure of Elasto-Plastic Oscillators, AMO, 2008), the solution of…