546 citations · 1.7k across the 58 of their papers we have counts for
10 papers · 1 filter
Discounted Mean-Field Game model of a dense static crowd with variable information crossed by an intruder
Matteo Butano, Cécile Appert-Rolland, Denis Ullmo
It was demonstrated in [Bonnemain et al., Phys. Rev. E 107, 024612 (2023)] that the anticipation pattern displayed by a dense crowd crossed by an intruder can be successfully descr…
A social structure description of epidemics propagation with the mean field game paradigm
Louis Bremaud, Denis Ullmo
We consider the spread of infectious diseases through a Mean Field Game version of a SIR compartmental model with social structure, in which individuals are grouped by their age cl…
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…