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EVOLUTIONARY DYNAMICS ON ONE-DIMENSIONAL CYCLE WITH SHIFTING MECHANISM AND TINY MUTATION RATE |
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| Authors: | Xianjia WANG;Jun LAN;Qianjin DONG;Guoliang LEI |
| Institution: | Xianjia WANG;Jun LAN;Qianjin DONG;Guoliang LEI;School of Economics and Management, Wuhan University;Hubei Province Key Laboratory of Systems Science in Metallurgical Process,Wuhan University of Science and Technology;Institute of System Engineering, Wuhan University;State Key Laboratory of Water Resources and Hydropower Science, Wuhan University;Faculty of Science, Hubei University of Automotive Technology; |
| 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. |
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