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From Nash to Cournot–Nash equilibria via the Monge–Kantorovich problem

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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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
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
Divisions: TSE-R (Toulouse)
Site: UT1
Date Deposited: 18 Apr 2016 11:53
Last Modified: 07 Mar 2018 13:23
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