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arXiv · 1405.1354

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

Adrien Blanchet·Guillaume Carlier
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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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Adrien Blanchet, Guillaume Carlier. 2014-05-06. Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case. https://arxiv.org/abs/1405.1354

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