2018/01/26 by Alexander Aurell, Aurell, Alexander, Boualem Djehiche +1
Engineering · Social Sciences · #49J55 #49N90 #60H10 #60K30 #91A80 #93E20 #Evacuation and Crowd Dynamics #FOS: Mathematics #Optimization and Control (math.OC) #Traffic and Road Safety #Transportation Planning and Optimization
paper · pdf · doi:10.48550/arxiv.1801.08777
openalex publication_date 2018/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
This paper suggests a model for the motion of tagged pedestrians: pedestrians moving towards a specified targeted destination, which they are forced to reach. It aims to be a decision-making tool for the positioning of fire fighters, security personnel, and other services in a pedestrian environment. Taking interaction with the surrounding crowd into account leads to a differential nonzero-sum game model where the tagged pedestrians compete with the surrounding crowd of ordinary pedestrians. When deciding how to act, pedestrians consider crowd distribution-dependent effects, like congestion and crowd aversion. Including such effects in the parameters of the game, makes it a mean-field type game. The equilibrium control is characterized, and special cases are discussed. Behavior in the model is studied by numerical simulations.