Title :

Schrödinger approach to Mean Field Games with negative coordination

Author(s) :

Bonnemain, Thibault [Auteur]
Laboratoire de Physique Théorique et Modélisation [LPTM - UMR 8089]
Laboratoire de Physique Théorique et Modèles Statistiques [LPTMS]
Gobron, T. [Auteur]
Laboratoire de Physique Théorique et Modélisation [LPTM - UMR 8089]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Ullmo, D. [Auteur]
Laboratoire de Physique Théorique et Modèles Statistiques [LPTMS]

HAL domain(s) :

Physique [physics]/Physique mathématique [math-ph]
Physique [physics]/Physique [physics]/Physique et Société [physics.soc-ph]

English abstract : [en]

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 ...
Show more >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 Schrödinger equation. We focus on the long optimization time limit and on congurations such that the game we consider goes through dierent 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.Show less >

Language :

Anglais

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL