19 citations · 26 across the 4 of their papers we have counts for
4 papers · 1 filter
Mean-Field Games Modeling of Anticipation in Dense Crowds
Matteo Butano, Cécile Appert-Rolland, Denis Ullmo
Understanding and modeling pedestrian dynamics in dense crowds is a complex yet essential aspect of crowd management and urban planning. In this work, we investigate the dynamics o…
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…
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…
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…