| Issue |
EPJ Web Conf.
Volume 334, 2025
Traffic and Granular Flow 2024 (TGF’24)
|
|
|---|---|---|
| Article Number | 04022 | |
| Number of page(s) | 8 | |
| Section | Pedestrian Dynamics | |
| DOI | https://doi.org/10.1051/epjconf/202533404022 | |
| Published online | 12 September 2025 | |
https://doi.org/10.1051/epjconf/202533404022
Mean-field games for high-density crowds: The discount factor reproduces experiments but raises numerical issues
1 Université Paris-Saclay, CNRS, IJCLab (UMR 9012), 91405 Orsay, France
2 Université Paris-Saclay, CNRS, LPTMS (UMR 8626), 91405 Orsay, France
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Published online: 12 September 2025
Abstract
Among the various types of crowd models, mean-field games have proved especially appropriate to reproduce some experimental results in high density crowds that involve anticipation on a time scale longer than usually involved in collision avoidance. It is possible to tune the level of anticipation with a so-called discount factor. However, the introduction of such a discount factor raises numerical issues close to solid boundaries (walls). A way to circumvent the difficulty is presented.
© The Authors, published by EDP Sciences, 2025
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