50 citations · 105 across the 14 of their papers we have counts for
6 papers · 1 filter
Modeling of obstacle avoidance by a dense crowd as a Mean-Field Game
Matteo Butano, Thibault Bonnemain, Cécile Appert-Rolland +2
In this paper we use a minimal model based on Mean-Field Games (a mathematical framework apt to describe situations where a large number of agents compete strategically) to simulat…
Pedestrians in static crowds are not grains, but game players
Thibault Bonnemain, Matteo Butano, Théophile Bonnet +5
The local navigation of pedestrians amid a crowd is generally believed to involve no anticipation beyond (at best) the avoidance of the most imminent collisions. We show that curre…
Lax Connection and Conserved Quantities of Quadratic Mean Field Games
Thibault Bonnemain, Thierry Gobron, Denis Ullmo
Mean Field Game is a rather new field initially developed in applied mathematics and engineering in order to deal with the dynamics of a large number of controlled agents or object…
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…
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…
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…