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Evacuation flow of pedestrians considering compassion effect |
| Yu-Zhang Chen(陈煜章)1, Ming Li(李明)1, Rui Jiang(姜锐)2, Mao-Bin Hu(胡茂彬)1,3 |
1 School of Engineering Science, University of Science and Technology of China, Hefei 230026, China;
2 MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China;
3 Civil, Architectural and Environmental Engineering, University of Texas at Austin, Austin, TX, USA |
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Abstract By means of game theory, the effect of compassion mechanism on the evacuation dynamics of pedestrians from a room is studied based on a cellular automaton model. Pedestrians can choose to cooperate or defect in a snowdrift game during the movement. With the compassion mechanism, pedestrians share their payoff to the poorest peer when several pedestrians compete for the same empty cell. Simulation results show that the escape time grows with fear degree r of the snowdrift game, and the compassion mechanism will have a different effect on the system compared with the situation of a spatial game with fixed population. By payoff redistribution, the compassion can help the minor strategy to survive. When the fear degree r is large, the compassion can sustain the cooperative behavior, and spontaneously decreases the escape time. When the fear degree r is small, the compassion will decrease the cooperation frequency, and slightly increase the escape time. The phenomenon is explained by the evolution and competition of defectors and cooperators in the system. Finally, the effect of initial cooperator proportion, the effect of two exits, and the effect of “Richest-Following” strategy, and the effect of initial density are also discussed.
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Received: 03 April 2018
Revised: 08 May 2018
Accepted manuscript online:
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PACS:
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89.40.-a
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(Transportation)
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87.23.-n
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(Ecology and evolution)
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05.65.+b
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(Self-organized systems)
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07.05.Tp
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(Computer modeling and simulation)
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| Fund: Project supported by the Key Research and Development Program of China (Grant No. 2016YFC0802508) and the National Natural Science Foundation of China (Grant Nos. 11672289 and 11422221). MBH acknowledges the support of Chinese Scholarship Council. |
Corresponding Authors:
Mao-Bin Hu
E-mail: humaobin@ustc.edu.cn
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Cite this article:
Yu-Zhang Chen(陈煜章), Ming Li(李明), Rui Jiang(姜锐), Mao-Bin Hu(胡茂彬) Evacuation flow of pedestrians considering compassion effect 2018 Chin. Phys. B 27 088901
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