Calculus of Variations and Geometric Measure Theory

L. Nenna - B. Pass

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

created by nenna on 29 Sep 2022



Inserted: 29 sep 2022
Last Updated: 29 sep 2022

Year: 2022


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.