paper

A note on Cournot-Nash equilibria and Optimal Transport between unequal dimensions

arXiv:2209.14888

Abstract

This note is devoted to study a class of games with a continuum of players for which Cournot-Nash equilibria can be obtained by minimisation of some cost related to Optimal Transport. In particular we focus on the case of an Optimal Transport term between unequal dimension. We also present several numerical simulations.

A note on Cournot-Nash equilibria and Optimal Transport between unequal dimensions · wovepaper