Modeling tagged pedestrian motion: A mean-field type game approach

Alexander Aurell and Boualem Djehiche

Transportation Research Part B: Methodological, 2019, vol. 121, issue C, 168-183

Abstract: This paper suggests a model for the motion of tagged pedestrians: Pedestrians moving towards a specified targeted destination, which they are forced to reach. It aims to be a decision-making tool for the positioning of fire fighters, security personnel and other services in a pedestrian environment. Taking interaction with the surrounding crowd into account leads to a differential nonzero-sum game model where the tagged pedestrians compete with the surrounding crowd of ordinary pedestrians. When deciding how to act, pedestrians consider crowd distribution-dependent effects, like congestion and crowd aversion. Including such effects in the parameters of the game, makes it a mean-field type game. The equilibrium control is characterized, and special cases are discussed. Behavior in the model is studied by numerical simulations.

Keywords: Pedestrian dynamics; Backward-forward stochastic differential equations; Mean-field type games; Congestion; Crowd aversion; Evacuation planning (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.trb.2019.01.011

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