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

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

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.

Keywords: cooperative behavior evolutionary snowdrift game heterogeneous agent system

Received: 05 July 2014
Revised: 15 November 2014
Accepted manuscript online:

PACS:	02.50.Le	(Decision theory and game theory)
	87.23.Kg	(Dynamics of evolution)
	89.75.Fb	(Structures and organization in complex systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11175131 and 10875086).

Corresponding Authors: Ke Jian-Hong
E-mail: kejianhong@ymail.com

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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 2015 Chin. Phys. B 24 040203

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

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