Schrödinger approach to Mean Field Games with negative coordination - Archive ouverte HAL
Journal Articles SciPost Physics Year : 2020

Schrödinger approach to Mean Field Games with negative coordination

Abstract

Mean Field Games provide a powerful framework to analyze the dynamics of a large number of controlled agents in interaction. Here we consider such systems when the interactions between agents result in a negative coordination and analyze the behavior of the associated system of coupled PDEs using the now well established correspondence with the non linear Schr\"odinger equation. We focus on the long optimization time limit and on configurations such that the game we consider goes through different regimes in which the relative importance of disorder, interactions between agents and external potential varies, which makes possible to get insights on the role of the forward-backward structure of the Mean Field Game equations in relation with the way these various regimes are connected.

Dates and versions

hal-02923105 , version 1 (26-08-2020)

Identifiers

Cite

Thibault Bonnemain, Thierry Gobron, Denis Ullmo. Schrödinger approach to Mean Field Games with negative coordination. SciPost Physics, 2020, 9 (4), ⟨10.21468/SciPostPhys.9.4.059⟩. ⟨hal-02923105⟩
33 View
0 Download

Altmetric

Share

More