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

作　　者：王先甲 兰军 董前进 雷国梁 

机构地区：[1]School of Economics and Management, Wuhan University [2]Hubei Province Key Laboratory of Systems Science in Metallurgical Process,Wuhan University of Science and Technology [3]Institute of System Engineering, Wuhan University [4]State Key Laboratory of Water Resources and Hydropower Science, Wuhan University [5]Faculty of Science, Hubei University of Automotive Technology

出　　处：《Acta Mathematica Scientia》2015年第1期95-104,共10页数学物理学报（B辑英文版）

基　　金：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.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 

分 类 号：C912.1[经济管理]