Simulation study on pedestrian strategy choice based on direction fuzzy visual field

In the process of evacuation of pedestrian flow, the dynamic strategy choosing among pedestrians greatly influence evacuation efficiency. To address the problem of this dynamic evolutionary game, the direction fuzzy visual field of a moving pedestrian is defined, which fully takes into account the differences between pedestrians in terms of visual field selection. Based on the direction fuzzy visual field, this paper constructs a dynamic evolutionary game model and analyzes the formation and dynamic development of pedestrian flow strategy choosing. It presents the payoff matrix in which heterogeneous pedestrians adjust their strategy according to different payoff. The study results show that the model can effectively demonstrate macroscopic self-organization phenomena of pedestrian flow. The dynamic game equilibrium is related to the radius of the direction fuzzy visual field, the cost of strategic adjustment, the pedestrian density, and the system scale. The radius of the direction fuzzy visual field is bigger, the pedestrians can have more information, and they more likely to adopt competition strategy. There is a critical value for pedestrian density. When pedestrian density is greater than this critical value, the pedestrians will feel crowded and tend to adopt competition strategy. The cost of strategic adjustment is smaller, the pedestrians are more likely to adopt cooperation strategy, a few competitors will gather near the walls. When the cost of strategic adjustment is bigger, the pedestrians tend to adopt competition strategy, a small number of cooperators are gathering near the walls. Therefore, the walls play a very important role in pedestrian flow evacuation. The cellular system scale is bigger, pedestrians are more likely to cooperate.