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On solutions to Cournot–Nash equilibria equations on the sphere

On solutions to Cournot–Nash equilibria equations on the sphere

We discuss equations associated to Cournot-Nash Equilibria as put forward recently by Blanchet and Carlier.These equations are related to an optimal transport problem in which the source measure is known, but the target measure is part of the problem.The resulting equation is of Monge-Ampère type with possible nonlocal terms.If the …