Computation of Cournot-Nash equilibria by entropic regularization

Adrien Blanchet; Guillaume Carlier; Luca Nenna

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Computation of Cournot-Nash equilibria by entropic regularization

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arxiv 1609.02814 v1 pith:VUCH4Q56 submitted 2016-09-09 math.OC cs.NAmath.NA

Computation of Cournot-Nash equilibria by entropic regularization

Adrien Blanchet , Guillaume Carlier , Luca Nenna This is my paper

classification math.OC cs.NAmath.NA

keywords considerentropicequilibriaplayersregularizationapproximatecasescertain

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We consider a class of games with continuum of players where equilibria can be obtained by the minimization of a certain functional related to optimal transport as emphasized in [7]. We then use the powerful entropic regularization technique to approximate the problem and solve it numerically in various cases. We also consider the extension to some models with several populations of players.

Computation of Cournot-Nash equilibria by entropic regularization

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