Discounted Mean-Field Game model of a dense static crowd with variable information crossed by an intruder
Matteo Butano, Cécile Appert-Rolland, Denis Ullmo
SciPost Phys. 16, 104 (2024) · published 12 April 2024
- doi: 10.21468/SciPostPhys.16.4.104
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Abstract
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 described by a minimal Mean-Field Games model. However, experiments show that changes in the pedestrian knowledge significantly modify the dynamics of the crowd. Here, we show that the addition of a single parameter, the discount factor $\gamma$, which gives a lower weight to events distant in time, is sufficient to observe the whole variety of behaviors observed in the experiments. We present a comparison between the discounted MFG and the experimental data, also providing new analytic results and insight about how the introduction of $\gamma$ modifies the model.
Authors / Affiliation: mappings to Contributors and Organizations
See all Organizations.- 1 Matteo Butano,
- 1 Cécile Appert-Rolland,
- 1 Denis Ullmo