Critical Behavior of Spatial Evolutionary Game with Altruistic to Spiteful Preferences on Two-Dimensional Lattices

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	Critical Behavior of Spatial Evolutionary Game with Altruistic to Spiteful Preferences on Two-Dimensional Lattices
	Yang, B ; Li, XT ; Chen, W 1; Liu, J 4; Chen, XS
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2016
卷号	66 期号:4 页码:439-446
关键词	spatial evolutionary game SQUARE-LATTICE Ising model MAGNETIC-FIELD phase transition ISING ANTIFERROMAGNET CRITICAL LINE MODEL TEMPERATURE TRANSITION HONEYCOMB
英文摘要	Self-questioning mechanism which is similar to single spin-flip of Ising model in statistical physics is introduced into spatial evolutionary game model. We propose a game model with altruistic to spiteful preferences via weighted sums of own and opponent's payoffs. This game model can be transformed into Ising model with an external field. Both interaction between spins and the external field are determined by the elements of payoff matrix and the preference parameter. In the case of perfect rationality at zero social temperature, this game model has three different phases which are entirely cooperative phase, entirely non-cooperative phase and mixed phase. In the investigations of the game model with Monte Carlo simulation, two paths of payoff and preference parameters are taken. In one path, the system undergoes a discontinuous transition from cooperative phase to non-cooperative phase with the change of preference parameter. In another path, two continuous transitions appear one after another when system changes from cooperative phase to non-cooperative phase with the prefenrence parameter. The critical exponents v, beta, and gamma of two continuous phase transitions are estimated by the finite-size scaling analysis. Both continuous phase transitions have the same critical exponents and they belong to the same universality class as the two-dimensional Ising model.
学科主题	Physics
语种	英语
资助机构	National Natural Science Foundation of China [11121403, 11504384]
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23083]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 2.Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China 3.Chinese Acad Sci, Key Lab Theoret Phys, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Comp Network Informat Ctr, Supercomp Ctr, POB 349, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, B,Li, XT,Chen, W,et al. Critical Behavior of Spatial Evolutionary Game with Altruistic to Spiteful Preferences on Two-Dimensional Lattices[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2016,66(4):439-446.
APA	Yang, B,Li, XT,Chen, W,Liu, J,&Chen, XS.(2016).Critical Behavior of Spatial Evolutionary Game with Altruistic to Spiteful Preferences on Two-Dimensional Lattices.COMMUNICATIONS IN THEORETICAL PHYSICS,66(4),439-446.
MLA	Yang, B,et al."Critical Behavior of Spatial Evolutionary Game with Altruistic to Spiteful Preferences on Two-Dimensional Lattices".COMMUNICATIONS IN THEORETICAL PHYSICS 66.4(2016):439-446.