Pedestrian models based on rational behaviour
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Accepted version
Author(s)
Bailo, R
Carrillo, JA
Degond, P
Type
Chapter
Abstract
Following the paradigm set by attraction-repulsion-alignment schemes, a myriad of individual-based models have been proposed to calculate the evolution of abstract agents. While the emergent features of many agent systems have been described astonishingly well with force-based models, this is not the case for pedestrians. Many of the classical schemes have failed to capture the fine detail of crowd dynamics, and it is unlikely that a purely mechanical model will succeed. As a response to the mechanistic literature, we will consider a model for pedestrian dynamics that attempts to reproduce the rational behaviour of individual agents through the means of anticipation. Each pedestrian undergoes a two-step time evolution based on a perception stage and a decision stage. We will discuss the validity of this game theoretical-based model in regimes with varying degrees of congestion, ultimately presenting a correction to the mechanistic model in order to achieve realistic high-density dynamics.
Editor(s)
Bellomo, Nicola
Gibelli, Livio
Date Issued
2019-01-23
Citation
Crowd Dynamics, Volume 1, 2019, 1, pp.259-292
Publisher
Springer Nature
Start Page
259
End Page
292
Journal / Book Title
Crowd Dynamics, Volume 1
Volume
1
Copyright Statement
© Springer Nature Switzerland AG 2018. The final publication is available at Springer via https://doi.org/10.1007/978-3-030-05129-7_9
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Identifier
https://link.springer.com/chapter/10.1007%2F978-3-030-05129-7_9
Grant Number
EP/P031587/1
Subjects
physics.soc-ph
physics.soc-ph
cs.MA
nlin.AO
Publication Status
Published
Date Publish Online
2019-01-23