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Blanchet, Adrien
and Carlier, Guillaume
(2014)
Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case.
TSE Working Paper, n. 14-491
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Official URL : http://tse-fr.eu/pub/28214
Abstract
This article is devoted to various methods (optimal transport, fixed-point, ordi- nary 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, contrary to the variational framework of [3]. We also present several nu- merical simulations which illustrate the applicability of our approach to compute Cournot-Nash equilibria.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Language: | English |
| Date: | May 2014 |
| Uncontrolled Keywords: | Continuum of players, Cournot-Nash equilibria, optimal transport, best-reply iteration, congestion, non-symmetric interactions |
| Subjects: | B- ECONOMIE ET FINANCE |
| Divisions: | TSE-R (Toulouse) |
| Institution: | Université Toulouse Capitole |
| Site: | UT1 |
| Date Deposited: | 09 Jul 2014 17:44 |
| Last Modified: | 02 Apr 2021 15:48 |
| OAI Identifier: | oai:tse-fr.eu:28214 |
| URI: | https://publications.ut-capitole.fr/id/eprint/15920 |
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- Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case. (deposited 09 Jul 2014 17:44) [Currently Displayed]
