Blanchet, Adrien and Carlier, Guillaume (2014) From Nash to Cournot–Nash equilibria via the Monge–Kantorovich problem. Philosophical Transactions of the Royal Society Series A, Physical sciences and engineering, vol.372 (n°2028).
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Abstract
The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of N player games. Analysis of Nash equilibria is however a complex issue when the number of players is large. In this article, we emphasize the role of optimal transport theory in (i) the passage from Nash to Cournot–Nash equilibria as the number of players tends to infinity and (ii) the analysis of Cournot–Nash equilibria.
Item Type: | Article |
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Language: | English |
Date: | 6 October 2014 |
Refereed: | Yes |
Uncontrolled Keywords: | Nash equilibria, games with a continuum of players, Cournot–Nash equilibria, Monge–Kantorovich optimal transportation problem |
Subjects: | B- ECONOMIE ET FINANCE |
Divisions: | TSE-R (Toulouse) |
Site: | UT1 |
Date Deposited: | 18 Apr 2016 11:53 |
Last Modified: | 02 Apr 2021 15:50 |
OAI Identifier: | oai:tse-fr.eu:29911 |
URI: | https://publications.ut-capitole.fr/id/eprint/18726 |
Available Versions of this Item
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From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem. (deposited 09 Jul 2014 17:44)
- From Nash to Cournot–Nash equilibria via the Monge–Kantorovich problem. (deposited 18 Apr 2016 11:53) [Currently Displayed]