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

2024/03/01 by Butano, Matteo, Bonnemain, Thibault, Appert-Rolland, Cécile +2
#FOS: Physical sciences #Physics and Society (physics.soc-ph)

paper · doi:10.48550/arxiv.2403.00603

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.

Related

• Mean-Field Games Modeling of Anticipation in Dense Crowds
• Modeling tagged pedestrian motion: a mean-field type game approach
• Mechanical response of dense pedestrian crowds to the crossing of intruders
• Herding an Adversarial Swarm in an Obstacle Environment
• Near-future projections in continuous agent-based models for crowd dynamics: mathematical structures in use and their implications