From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem
  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: 1) the passage from Nash to Cournot-Nash equilibria as the number of players tends to infinity, 2) the analysis of Cournot-Nash equilibria. 
Adrien Blanchet (GREMAQ), Guillaume Carlier (CEREMADE)
math.AP math.OC