Research Article Details

Article ID: A33728
PMID: 25288809
Source: Philos Trans A Math Phys Eng Sci
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.
DOI: 10.1098/rsta.2013.0398