3 papers
physics.soc-ph2020
Schrödinger approach to Mean Field Games with negative coordination
Thibault Bonnemain, Thierry Gobron, Denis Ullmo
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 bet…
physics.soc-ph2019
Universal behavior in non stationary Mean Field Games
Thibault Bonnemain, Thierry Gobron, Denis Ullmo
Mean Field Games provide a powerful framework to analyze the dynamics of a large number of controlled objects in interaction. Though these models are much simpler than the underlyi…
physics.soc-ph2018
Mean Field Games in the weak noise limit : A WKB approach to the Fokker-Planck equation
Thibault Bonnemain, Denis Ullmo
Motivated by the study of a Mean Field Game toy model called the "seminar problem", we consider the Fokker-Planck equation in the small noise regime for a specific drift field. Thi…