Mean-field game analysis of crowd evacuation using the Cristiani-Santo-Menci method.

In this paper, we investigate the crowd evacuation from a room on the basis of the mean field game theory. In particular, effects of the predictability of pedestrians on the evacuation process are considered by applying the Cristiani-Santo-Mensi method as a solver of the Hamilton-Jacobi-Bellman equation coupled with the Fokker-Planck equation. Some numerical tests of the crowd evacuation from a room are implemented in order to investigate effects of the predictability, mass diffusion, interactive force and domain, and form of the running cost function on the evacuation process.