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Blanchet, Adrien
and Carlier, Guillaume
(2015)
Optimal Transport and Cournot-Nash Equilibria.
Mathematics of Operations Research, vol. 41 (n° 1).
pp. 125-145.
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Abstract
We study a class of games with a continuum of players for which a Cournot-Nash equilibria can be obtained by the minimisation of some cost related to optimal transport. This cost is not convex in the usual sense, in general, but it turns out to have hidden strict convexity properties in many relevant cases. This enables us to obtain new uniqueness results and a characterisation of equilibria in terms of some partial differential equations, a simple numerical scheme in dimension one as well as an analysis of the inefficiency of equilibria.
| Item Type: | Article |
|---|---|
| Language: | English |
| Date: | 16 July 2015 |
| Refereed: | Yes |
| Uncontrolled Keywords: | Cournot-Nash equilibria, mean field games, optimal transport, externalities, Monge-Ampère equations, convexity along generalised geodesics |
| Subjects: | B- ECONOMIE ET FINANCE |
| Divisions: | TSE-R (Toulouse) |
| Site: | UT1 |
| Date Deposited: | 18 Apr 2016 10:13 |
| Last Modified: | 17 Apr 2024 06:15 |
| OAI Identifier: | oai:tse-fr.eu:29913 |
| URI: | https://publications.ut-capitole.fr/id/eprint/18727 |
Available Versions of this Item
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Optimal Transport and Cournot-Nash Equilibria. (deposited 09 Jul 2014 17:27)
- Optimal Transport and Cournot-Nash Equilibria. (deposited 18 Apr 2016 10:13) [Currently Displayed]
