Hysteresis behavior and nonequilibrium phase transition in a one-dimensional evolutionary game model  

作　　者：华达银 

机构地区：[1]Physics Department, Ningbo University

出　　处：《Chinese Physics B》2013年第4期213-217,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grand No. 10575055);K. C. Wong Magna Fund in Ningbo University

摘　　要：We investigate a simple evolutionary game model in one dimension. It is found that the system exhibits a discontinuous phase transition from a defection state to a cooperation state when the b payoff of a defector exploiting a cooperator is small. Furthermore, if b is large enough, then the system exhibits two continuous phase transitions between two absorbing states and a coexistence state of cooperation and defection, respectively. The tri-critical point is roughly estimated. Moreover, it is found that the critical behavior of the continuous phase transition with an absorbing state is in the directed percolation universality class.We investigate a simple evolutionary game model in one dimension. It is found that the system exhibits a discontinuous phase transition from a defection state to a cooperation state when the b payoff of a defector exploiting a cooperator is small. Furthermore, if b is large enough, then the system exhibits two continuous phase transitions between two absorbing states and a coexistence state of cooperation and defection, respectively. The tri-critical point is roughly estimated. Moreover, it is found that the critical behavior of the continuous phase transition with an absorbing state is in the directed percolation universality class.

关 键 词：evolutionary game model nonequilibrium phase transition with absorbing state cooperation phenomenon hysteresis behavior 

分 类 号：O225[理学—运筹学与控制论] O414.13[理学—数学]