Citation

Aurell A, Djehiche B. Transp. Res. B Methodol. 2019; 121: 168-183.

Copyright

(Copyright © 2019, Elsevier Publishing)

DOI

10.1016/j.trb.2019.01.011

PMID

unavailable

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.

Language: en

Keywords

Backward-forward stochastic differential equations; Congestion; Crowd aversion; Evacuation planning; Mean-field type games; Pedestrian dynamics