Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case
Optimization and Control
2014-05-07 v1
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.
Keywords
Cite
@article{arxiv.1405.1354,
title = {Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case},
author = {Adrien Blanchet and Guillaume Carlier},
journal= {arXiv preprint arXiv:1405.1354},
year = {2014}
}