Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case: 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.inria.fr/hal-01112228
Contributor : Jean-David Benamou <>
Submitted on : Monday, February 2, 2015 - 2:37:15 PM
Last modification on : Thursday, October 17, 2019 - 8:47:55 AM

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  • HAL Id : hal-01112228, version 1
  • ARXIV : 1405.1354

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Guillaume Carlier, Adrien Blanchet. Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case: Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case. 2015. ⟨hal-01112228⟩

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