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Blanchet, Adrien
and Carlier, Guillaume
(2014)
Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case.
Mathematics and Financial Economics, vol. 8 (n° 4).
pp. 417-433.
This is the latest version of this item.
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, contrary to the variational framework of Blanchet and Carlier (Optimal transport and Cournot–Nash equilibria, 2012). We also present several numerical simulations which illustrate the applicability of our approach to compute Cournot–Nash equilibria.
| Item Type: | Article |
|---|---|
| Language: | English |
| Date: | September 2014 |
| Refereed: | Yes |
| 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) |
| Site: | UT1 |
| Date Deposited: | 18 Apr 2016 12:04 |
| Last Modified: | 01 Mar 2023 15:11 |
| OAI Identifier: | oai:tse-fr.eu:30374 |
| URI: | https://publications.ut-capitole.fr/id/eprint/20298 |
Available Versions of this Item
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Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case. (deposited 09 Jul 2014 17:44)
- Remarks on existence and uniqueness of Cournot-Nash equilibria in the non-potential case. (deposited 18 Apr 2016 12:04) [Currently Displayed]
