Pedestrian models based on rational behaviour

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Title: Pedestrian models based on rational behaviour
Authors: Bailo, R
Carrillo, JA
Degond, P
Item 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.
Issue Date: 23-Jan-2019
URI: http://hdl.handle.net/10044/1/71462
DOI: https://doi.org/10.1007/978-3-030-05129-7_9
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/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/P031587/1
Keywords: physics.soc-ph
physics.soc-ph
cs.MA
nlin.AO
Publication Status: Published
Embargo Date: 2021-01-23
Online Publication Date: 2019-01-23
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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