A Total Variation Flow Scheme for Ergodic Mean Field Games
Optimization and Control
2024-11-13 v1
Abstract
Motivated by recent developments in mean-field games in ecology, in this paper we introduce a connection between the best response dynamics in evolutionary game theory, the minimization of the highest income of a game, and minimizing movement schemes. The aim of this work is to develop a variational approach to compute solutions of first order ergodic mean-field games that may not possess a priori a variational structure. The study is complemented by a discussion and successful implementation of the algorithms, and comparisons between them in a variety of cases
Cite
@article{arxiv.2411.07331,
title = {A Total Variation Flow Scheme for Ergodic Mean Field Games},
author = {Dante Kalise and Alessio Oliviero and Domènec Ruiz-Balet},
journal= {arXiv preprint arXiv:2411.07331},
year = {2024}
}