title: From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem.
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.
authors.affiliation: IAST/TSE (GREMAQ, Université de Toulouse), 21 Allée de Brienne, 31015 Toulouse, France adrien.blanchet@ut-capitole.fr.
authors.forename: Adrien
authors.initials: A
authors.lastname: Blanchet
authors.affiliation: CEREMADE-Université Paris Dauphine, Place de Lattre de Tassigny, 75775 Paris Cédex 16, France.
authors.forename: Guillaume
authors.initials: G
authors.lastname: Carlier
keywords: Cournot–Nash equilibria; Monge–Kantorovich optimal transportation problem; Nash equilibria; games with a continuum of players