# From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem

arXiv: https://arxiv.org/abs/1404.5485 · HTML: https://mlsanity.com/paper/1404.5485/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 22 Apr 2014.

## Built on by (most cited first, 1 of 1)

- [Reproducing kernel Hilbert spaces in the mean field limit](https://mlsanity.com/paper/2302.14446/) (2023)

## Abstract (arXiv)

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.