  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.
