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Physics > Physics and Society

Title: Modeling of obstacle avoidance by a dense crowd as a Mean-Field Game

Abstract: 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.
Comments: 8 pages, 4 figures. Submitted to Collective Dynamics as proceedings of the Traffic and Granular Flow (TGF) conference held in 2022 at Indian Institute of Technology Delhi (India)
Subjects: Physics and Society (physics.soc-ph)
Cite as: arXiv:2403.00603 [physics.soc-ph]
  (or arXiv:2403.00603v2 [physics.soc-ph] for this version)

Submission history

From: Matteo Butano [view email]
[v1] Fri, 1 Mar 2024 15:29:59 GMT (1673kb,D)
[v2] Tue, 28 May 2024 13:00:33 GMT (1673kb,D)

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