Remarks on Nash equilibria in mean field game models with a major player
Optimization and Control
2018-11-08 v1
Abstract
For a mean field game model with a major and infinite minor players, we characterize a notion of Nash equilibrium via a system of so-called master equations, namely a system of nonlinear transport equations in the space of measures. Then, for games with a finite number N of minor players and a major player, we prove that the solution of the corresponding Nash system converges to the solution of the system of master equations as N tends to infinity.
Keywords
Cite
@article{arxiv.1811.02811,
title = {Remarks on Nash equilibria in mean field game models with a major player},
author = {Pierre Cardaliaguet and Marco Cirant and Alessio Porretta},
journal= {arXiv preprint arXiv:1811.02811},
year = {2018}
}