A generalized mean-field game model for the dynamics of pedestrians with limited predictive abilities

Abstract
This paper investigates the model for pedestrian flow firstly proposed in [Cristiani, Priuli, and Tosin, SIAM J. Appl. Math., 75:605-629, 2015]. The model assumes that each individual in the crowd moves in a known domain, aiming at minimizing a given cost functional. Both the pedestrian dynamics and the cost functional itself depend on the position of the whole crowd. In addition, pedestrians are assumed to have predictive abilities, but limited in time.
Anno
2023
Tipo pubblicazione
Altri Autori
Emiliano Cristiani, Arianna de Santo, Marta Menci
Editore
International Press],
Rivista
Communications in mathematical sciences (Online)