数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (1): 95-104.doi: 10.1016/S0252-9602(14)60142-9

• 论文 • 上一篇    下一篇

EVOLUTIONARY DYNAMICS ON ONE-DIMENSIONAL CYCLE WITH SHIFTING MECHANISM AND TINY MUTATION RATE

王先甲|兰军|董前进 雷国梁   

  1. School of Economics and Management, Wuhan University, Wuhan 430072, China|Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China Institute of System Engineering, Wuhan University, Wuhan 430072, China State Key Laboratory of Water Resources and Hydropower Science, Wuhan University,Wuhan 430072, China Faculty of Science, Hubei University of Automotive Technology, Shiyan 442000, China
  • 收稿日期:2014-01-26 修回日期:2014-03-18 出版日期:2015-01-20 发布日期:2015-01-20
  • 基金资助:

    Supported by National Natural Science Foundation of China (71231007, 50909073).

EVOLUTIONARY DYNAMICS ON ONE-DIMENSIONAL CYCLE WITH SHIFTING MECHANISM AND TINY MUTATION RATE

WANG XianJia,LAN Jun,DONG QianJin, LEI GuoLiang   

  1. School of Economics and Management, Wuhan University, Wuhan 430072, China|Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China Institute of System Engineering, Wuhan University, Wuhan 430072, China State Key Laboratory of Water Resources and Hydropower Science, Wuhan University,Wuhan 430072, China Faculty of Science, Hubei University of Automotive Technology, Shiyan 442000, China
  • Received:2014-01-26 Revised:2014-03-18 Online:2015-01-20 Published:2015-01-20
  • Supported by:

    Supported by National Natural Science Foundation of China (71231007, 50909073).

摘要:

In this paper we study the impact of tiny mutation on the evolutionary dynamics on one-dimensional cycle with shifting mechanism. The evolutionary success is evaluated by investigating the stationary distribution of the ergodic process with the idea of viscosity solutions. The cooperative behaviors in ecosystem and social system are briefly discussed by applying the results to the prisoner’s dilemma game.

关键词: evolutionary games, Moran process,  Markov chain, prisoner’s dilemma game

Abstract:

In this paper we study the impact of tiny mutation on the evolutionary dynamics on one-dimensional cycle with shifting mechanism. The evolutionary success is evaluated by investigating the stationary distribution of the ergodic process with the idea of viscosity solutions. The cooperative behaviors in ecosystem and social system are briefly discussed by applying the results to the prisoner’s dilemma game.

Key words: evolutionary games, Moran process,  Markov chain, prisoner’s dilemma game

中图分类号: 

  • 91A15