Biham-Middleton-Levine model in consideration of cooperative willingness

doi:10.1088/1674-1056/23/5/058902

中国物理B ›› 2014, Vol. 23 ›› Issue (5): 58902-058902.doi: 10.1088/1674-1056/23/5/058902

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Biham-Middleton-Levine model in consideration of cooperative willingness

盘薇^{a b}, 薛郁^a, 赵瑞^a, 卢伟真^b

a College of Physical Science and Technology, Guangxi University, Nanning 530004, China;
b Department of Civil & Architectural Engineering, City University of Hong Kong, Hong Kong HKSAR, China

收稿日期:2013-09-11 修回日期:2013-11-15 出版日期:2014-05-15 发布日期:2014-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11262003), the Hong Kong Research Grants Council (RGC)-General Research Fund (GRF) Grant, China (Grant No. CityU 118212), the Strategic Research Grant, City University of Hong Kong, China (Grant No. CityU-SRG 7002718), and the Graduate Student Innovative Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. YCSZ2012013).

Biham-Middleton-Levine model in consideration of cooperative willingness

Pan Wei (盘薇)^{a b}, Xue Yu (薛郁)^a, Zhao Rui (赵瑞)^a, Lu Wei-Zhen (卢伟真)^b

a College of Physical Science and Technology, Guangxi University, Nanning 530004, China;
b Department of Civil & Architectural Engineering, City University of Hong Kong, Hong Kong HKSAR, China

Received:2013-09-11 Revised:2013-11-15 Online:2014-05-15 Published:2014-05-15
Contact: Xue Yu, Lu Wei-Zhen E-mail:yuxuegxu@gxu.edu.cn;bcwzlu@cityu.edu.hk
About author:89.40.-a; 05.50.+q; 64.70.-p
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11262003), the Hong Kong Research Grants Council (RGC)-General Research Fund (GRF) Grant, China (Grant No. CityU 118212), the Strategic Research Grant, City University of Hong Kong, China (Grant No. CityU-SRG 7002718), and the Graduate Student Innovative Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. YCSZ2012013).

摘要/Abstract

摘要： In this paper, the Biham-Middleton-Levine (BML) model with consideration of cooperative willingness has been proposed to study the traffic flow in urban networks. An evolutionary game with a cooperative willingness profile is introduced to deal with conflicts between disturbing neighbors. Simulation results suggest that imitating cooperative willingness can ease the effect of premature seizure on traffic flow due to the introduction of evolutionary games. Phase diagrams with a strategy profile and cooperative willingness profile have been investigated in detail. Our findings also prove that by imitating the more successful, cooperative willingness instead of simply the more successful strategies, the evolution of cooperation is significantly promoted, hence improving the order of cooperation and relieving the pressure of traffic networks.

关键词: traffic flow, phase transition, cooperative willingness, evolutionary game

Abstract: In this paper, the Biham-Middleton-Levine (BML) model with consideration of cooperative willingness has been proposed to study the traffic flow in urban networks. An evolutionary game with a cooperative willingness profile is introduced to deal with conflicts between disturbing neighbors. Simulation results suggest that imitating cooperative willingness can ease the effect of premature seizure on traffic flow due to the introduction of evolutionary games. Phase diagrams with a strategy profile and cooperative willingness profile have been investigated in detail. Our findings also prove that by imitating the more successful, cooperative willingness instead of simply the more successful strategies, the evolution of cooperation is significantly promoted, hence improving the order of cooperation and relieving the pressure of traffic networks.

Key words: traffic flow, phase transition, cooperative willingness, evolutionary game

中图分类号: (Transportation)

89.40.-a

05.50.+q (Lattice theory and statistics) 64.70.-p (Specific phase transitions)

盘薇, 薛郁, 赵瑞, 卢伟真. Biham-Middleton-Levine model in consideration of cooperative willingness[J]. 中国物理B, 2014, 23(5): 58902-058902.

Pan Wei (盘薇), Xue Yu (薛郁), Zhao Rui (赵瑞), Lu Wei-Zhen (卢伟真). Biham-Middleton-Levine model in consideration of cooperative willingness[J]. Chin. Phys. B, 2014, 23(5): 58902-058902.

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Biham-Middleton-Levine model in consideration of cooperative willingness

Biham-Middleton-Levine model in consideration of cooperative willingness

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