Modeling of obstacle avoidance by a dense crowd as a Mean-Field Game
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866910460834480128 |
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| author | Butano, Matteo Bonnemain, Thibault Appert-Rolland, Cécile Nicolas, Alexandre Ullmo, Denis |
| author_facet | Butano, Matteo Bonnemain, Thibault Appert-Rolland, Cécile Nicolas, Alexandre Ullmo, Denis |
| contents | 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 simulate the scenario where a static dense human crowd is crossed by a cylindrical intruder. After a brief explanation of the mathematics behind it, we compare our model directly against the empirical data collected during a controlled experiment replicating the aforementioned situation. We then summarize the features that make the model adhere so well to the experiment and clarify the anticipation time in this framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00603 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modeling of obstacle avoidance by a dense crowd as a Mean-Field Game Butano, Matteo Bonnemain, Thibault Appert-Rolland, Cécile Nicolas, Alexandre Ullmo, Denis Physics and Society 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 simulate the scenario where a static dense human crowd is crossed by a cylindrical intruder. After a brief explanation of the mathematics behind it, we compare our model directly against the empirical data collected during a controlled experiment replicating the aforementioned situation. We then summarize the features that make the model adhere so well to the experiment and clarify the anticipation time in this framework. |
| title | Modeling of obstacle avoidance by a dense crowd as a Mean-Field Game |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2403.00603 |