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Physics > Physics and Society
Title: Modeling of obstacle avoidance by a dense crowd as a Mean-Field Game
(Submitted on 1 Mar 2024 (v1), last revised 28 May 2024 (this version, v2))
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.
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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