Applying the Game Theory to Solve the Conflict during Evacuation
In order to better solve the conflict that several pedestrians intend to move to the same site at the same moment under parallel update rule, and to better embody the actual pedestrians attitude, we introduce game theory to the cellular automaton model.We divide pedestrians into two categories co-operator and defector.Co-operators are humble, while detectors are impatient.The payoff matrix of game and the cost of the detectors who are participant in the game are given.In the presented model, the element of the payoff matrix is the transition rates to the objective cell in the game.Through simulations, we examine the process of evacuation in which evacuees update or do not update their strategies.In the case that evacuees do not update their strategies, detectors go through the door and leave the room easily when the cost of the detectors is smaller.When the cost of the detectors is larger, co-operators leave the room easily at the beginning.For the case of updating, co-operators and defectors always arrive at a consistent state in which they have the same number and follow the same rule in the evolving time, irrespective of the initial fraction and cost paid by defectors.
Conflict Game theory Evacuation
Huan-huan Tian Li-yun Dong Yan-fang Wei Rong-sen Zheng
College of Physics Science and Engineering, Yulin Normal University, Yulin 537000, Peoples Republic Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, Peopl College of Physics Science and Engineering, Yulin Normal University, Yulin 537000, Peoples Republic
国际会议
The 8th International Conference on Pedestrian and Evacuation Dynamics (第八届行人与疏散动力学国际学术会议)
合肥
英文
428-433
2016-10-17（万方平台首次上网日期，不代表论文的发表时间）