From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem
Analysis of PDEs
2015-06-19 v1 Optimization and Control
Abstract
The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of 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.
Keywords
Cite
@article{arxiv.1404.5485,
title = {From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem},
author = {Adrien Blanchet and Guillaume Carlier},
journal= {arXiv preprint arXiv:1404.5485},
year = {2015}
}