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Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case

Abstract : This article is devoted to various methods (optimal transport, fixed-point, ordinary differential equations) to obtain existence and/or uniqueness of Cournot-Nash equilibria for games with a continuum of players with both attractive and repulsive effects. We mainly address separable situations but for which the game does not have a potential. We also present several numerical simulations which illustrate the applicability of our approach to compute Cournot-Nash equilibria.
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https://hal.archives-ouvertes.fr/hal-00987753
Contributor : Adrien Blanchet <>
Submitted on : Tuesday, May 6, 2014 - 5:17:51 PM
Last modification on : Tuesday, March 17, 2020 - 2:46:24 AM
Document(s) archivé(s) le : Wednesday, August 6, 2014 - 1:40:25 PM

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  • HAL Id : hal-00987753, version 1
  • ARXIV : 1405.1354

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Adrien Blanchet, Guillaume Carlier. Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case. 2014. ⟨hal-00987753⟩

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