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.
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Butano, M., Bonnemain, T., Appert-Rolland, C., Nicolas, A., Ullmo, D. (2024). Modeling of Obstacle Avoidance by a Dense Crowd as a Mean-Field Game. In: Rao, K.R., Seyfried , A., Schadschneider, A. (eds) Traffic and Granular Flow '22 . TGF 2022. Lecture Notes in Civil Engineering, vol 443. Springer, Singapore. https://doi.org/10.1007/978-981-99-7976-9_12
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DOI: https://doi.org/10.1007/978-981-99-7976-9_12
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