Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics



+44 (0)20 7594 1474p.degond Website CV




6M38Huxley BuildingSouth Kensington Campus






BibTex format

author = {Bailo, R and Carrillo, JA and Degond, P and Bailo, R and Carrillo, de la Plata J and Degond, PAA},
booktitle = {Crowd Dynamics, Volume 1},
doi = {10.1007/978-3-030-05129-7_9},
editor = {Bellomo and Gibelli},
pages = {259--292},
publisher = {Springer Nature},
title = {Pedestrian models based on rational behaviour},
url = {},
year = {2019}

RIS format (EndNote, RefMan)

AB - 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.
AU - Bailo,R
AU - Carrillo,JA
AU - Degond,P
AU - Bailo,R
AU - Carrillo,de la Plata J
AU - Degond,PAA
DO - 10.1007/978-3-030-05129-7_9
EP - 292
PB - Springer Nature
PY - 2019///
SP - 259
TI - Pedestrian models based on rational behaviour
T1 - Crowd Dynamics, Volume 1
UR -
UR -
UR -
ER -