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

Article in a refereed journal

Adrien Blanchet and Guillaume Carlier, "From Nash to Cournot–Nash equilibria via the Monge–Kantorovich problem", Philosophical Transactions of the Royal Society A, vol. 372, n. 2028, October 6, 2014. doi:10.1098/rsta.2013.0398.

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.

Keywords

Nash equilibria
games with a continuum of players
Cournot–Nash equilibria
Monge–Kantorovich optimal transportation problem

IAST Discipline

Philosophy

Replaces

Adrien Blanchet and Guillaume Carlier, "From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem", TSE Working Paper, n. 14-490.
Print this page