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Pedestrian Models Based on Rational Behaviour

Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)

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.

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Acknowledgements

JAC acknowledges support by the EPSRC grant no. EP/P031587/1. PD acknowledges support by the EPSRC grant no. EP/M006883/1, by the Royal Society and the Wolfson Foundation through a Royal Society Wolfson Research Merit Award no. WM130048. PD is on leave from CNRS, Institut de Mathmatiques de Toulouse, France. JAC and PD acknowledge support by the National Science Foundation (NSF) under Grant no. RNMS11-07444(KI-Net).

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Bailo, R., Carrillo, J.A., Degond, P. (2018). Pedestrian Models Based on Rational Behaviour. In: Gibelli, L., Bellomo, N. (eds) Crowd Dynamics, Volume 1. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-05129-7_9

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