Modeling of obstacle avoidance by a dense crowd as a Mean-Field Game
Lecture Notes in Civil Engineering Traffic and Granular Flow '22(2024)
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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