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

doi:10.1088/1674-1056/22/4/040512

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 40512-040512.doi: 10.1088/1674-1056/22/4/040512

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

华达银

Physics Department, Ningbo University, Ningbo 315211, China

收稿日期:2012-07-19 修回日期:2012-09-10 出版日期:2013-03-01 发布日期:2013-03-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grand No. 10575055) and K. C. Wong Magna Fund in Ningbo University.

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

Hua Da-Yin (华达银)

Physics Department, Ningbo University, Ningbo 315211, China

Received:2012-07-19 Revised:2012-09-10 Online:2013-03-01 Published:2013-03-01
Contact: Hua Da-Yin E-mail:huadayin@nbu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grand No. 10575055) and K. C. Wong Magna Fund in Ningbo University.

摘要/Abstract

摘要： We investigate a simply 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 payoff b of a defector exploiting a cooperator is small. Furthermore, if b is larger enough, 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 estimated roughly. 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

Abstract: We investigate a simply 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 payoff b of a defector exploiting a cooperator is small. Furthermore, if b is larger enough, 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 estimated roughly. Moreover, it is found that the critical behavior of the continuous phase transition with an absorbing state is in the directed percolation universality class.

Key words: evolutionary game model, nonequilibrium phase transition with absorbing state, cooperation phenomenon, hysteresis behavior

中图分类号: (Nonequilibrium and irreversible thermodynamics)

05.70.Ln

02.50.Le (Decision theory and game theory) 87.23.Ge (Dynamics of social systems) 89.75.Hc (Networks and genealogical trees)

华达银. Hysteresis behavior and nonequilibrium phase transition in a one-dimensional evolutionary game model[J]. Chin. Phys. B, 2013, 22(4): 40512-040512.

Hua Da-Yin (华达银). Hysteresis behavior and nonequilibrium phase transition in a one-dimensional evolutionary game model[J]. Chin. Phys. B, 2013, 22(4): 40512-040512.

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

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

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