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Critical Behavior of spatial evolutionary game with Altruistic to Spiteful Preferences on Two-Dimensional Lattices

Communications in Theoretical Physics 2016年第10期65卷 439-446页

作者： Bo Yang Xiao-Teng Li Wei Chen Jian Liu Xiao-Song Chen Institute of Theoretical Physics Key Laboratory of Theoretical Physics Chinese Academy of Sciences P.O. Box 2735 Beijing 100190 China School of Physical Sciences University of Chinese Academy of Sciences No. 19A Yuquan Road Beijing 100049 China Supercomputing Center of Chinese Academy of Sciences Computer Network Information Center Chinese Academy of Sciences P.O. Box 349 Beijing 100190 China School of Science Beijing Technology and Business University Beijing 100048 China

Self-questioning mechanism which is similar to single spin-flip of Ising model in statistical physics is introduced into spatial evolutionary game *** propose a game model with altruistic to spiteful preferences via weighted sums of own and opponent's *** game model can be transformed into Ising model with an external *** interaction between spins and the external field are determined by the elements of payoff matrix and the preference *** 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 *** the investigations of the game model with Monte Carlo simulation,two paths of payoff and preference parameters are *** one path,the system undergoes a discontinuous transition from cooperative phase to non-cooperative phase with the change of preference *** another path,two continuous transitions appear one after another when system changes from cooperative phase to non-cooperative phase with the prefenrence *** critical exponents ν,β,and γ of two continuous phase transitions are estimated by the finite-size scaling *** continuous phase transitions have the same critical exponents and they belong to the same universality class as the two-dimensional Ising model.

关键词： spatial evolutionary game Ising model phase transition

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