Pedestrian Models based on Rational Behaviour

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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Cited by in corpus (5)

• Anticipation in a velocity-based model for pedestrian dynamics
• Pedestrian models with congestion effects
• A nonlocal-to-local approach to aggregation-diffusion equations
• Anticipation decides on lane formation in pedestrian counterflow -- a simulation study
• A mathematical framework for dynamical social interactions with dissimulation