Spatial snowdrift game in heterogeneous agent systems with co-evolutionary strategies and updating rules

doi:10.1088/1674-1056/24/4/040203

›› 2015, Vol. 24 ›› Issue (4): 40203-040203.doi: 10.1088/1674-1056/24/4/040203

Spatial snowdrift game in heterogeneous agent systems with co-evolutionary strategies and updating rules

夏海江, 李萍萍, 柯见洪, 林振权

College of Physics and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China

收稿日期:2014-07-05 修回日期:2014-11-15 出版日期:2015-04-05 发布日期:2015-04-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11175131 and 10875086).

Spatial snowdrift game in heterogeneous agent systems with co-evolutionary strategies and updating rules

Xia Hai-Jiang (夏海江), Li Ping-Ping (李萍萍), Ke Jian-Hong (柯见洪), Lin Zhen-Quan (林振权)

College of Physics and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China

Received:2014-07-05 Revised:2014-11-15 Online:2015-04-05 Published:2015-04-05
Contact: Ke Jian-Hong E-mail:kejianhong@ymail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11175131 and 10875086).

摘要/Abstract

摘要： We propose an evolutionary snowdrift game model for heterogeneous systems with two types of agents, in which the inner-directed agents adopt the memory-based updating rule while the copycat-like ones take the unconditional imitation rule; moreover, each agent can change his type to adopt another updating rule once the number he sequentially loses the game at is beyond his upper limit of tolerance. The cooperative behaviors of such heterogeneous systems are then investigated by Monte Carlo simulations. The numerical results show the equilibrium cooperation frequency and composition as functions of the cost-to-benefit ratio r are both of plateau structures with discontinuous steplike jumps, and the number of plateaux varies non-monotonically with the upper limit of tolerance v_T as well as the initial composition of agents f_a0. Besides, the quantities of the cooperation frequency and composition are dependent crucially on the system parameters including v_T, f_a0, and r. One intriguing observation is that when the upper limit of tolerance is small, the cooperation frequency will be abnormally enhanced with the increase of the cost-to-benefit ratio in the range of 0<r<1/4. We then probe into the relative cooperation frequencies of either type of agents, which are also of plateau structures dependent on the system parameters. Our results may be helpful to understand the cooperative behaviors of heterogenous agent systems.

关键词: cooperative behavior, evolutionary snowdrift game, heterogeneous agent system

Abstract: We propose an evolutionary snowdrift game model for heterogeneous systems with two types of agents, in which the inner-directed agents adopt the memory-based updating rule while the copycat-like ones take the unconditional imitation rule; moreover, each agent can change his type to adopt another updating rule once the number he sequentially loses the game at is beyond his upper limit of tolerance. The cooperative behaviors of such heterogeneous systems are then investigated by Monte Carlo simulations. The numerical results show the equilibrium cooperation frequency and composition as functions of the cost-to-benefit ratio r are both of plateau structures with discontinuous steplike jumps, and the number of plateaux varies non-monotonically with the upper limit of tolerance v_T as well as the initial composition of agents f_a0. Besides, the quantities of the cooperation frequency and composition are dependent crucially on the system parameters including v_T, f_a0, and r. One intriguing observation is that when the upper limit of tolerance is small, the cooperation frequency will be abnormally enhanced with the increase of the cost-to-benefit ratio in the range of 0<r<1/4. We then probe into the relative cooperation frequencies of either type of agents, which are also of plateau structures dependent on the system parameters. Our results may be helpful to understand the cooperative behaviors of heterogenous agent systems.

Key words: cooperative behavior, evolutionary snowdrift game, heterogeneous agent system

中图分类号: (Decision theory and game theory)

02.50.Le

87.23.Kg (Dynamics of evolution) 89.75.Fb (Structures and organization in complex systems)

夏海江, 李萍萍, 柯见洪, 林振权. Spatial snowdrift game in heterogeneous agent systems with co-evolutionary strategies and updating rules[J]. , 2015, 24(4): 40203-040203.

Xia Hai-Jiang (夏海江), Li Ping-Ping (李萍萍), Ke Jian-Hong (柯见洪), Lin Zhen-Quan (林振权). Spatial snowdrift game in heterogeneous agent systems with co-evolutionary strategies and updating rules[J]. Chin. Phys. B, 2015, 24(4): 40203-040203.

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Spatial snowdrift game in heterogeneous agent systems with co-evolutionary strategies and updating rules

Spatial snowdrift game in heterogeneous agent systems with co-evolutionary strategies and updating rules

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