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Effects of migration on the evolutionary game dynamics in finite populations with community structures

Author

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  • Wang, Jing
  • Chen, Xiaojie
  • Wang, Long

Abstract

We investigate the impacts of migration on the evolutionary game dynamics in finite populations with community structures in the framework of evolutionary game theory. In contrast to deterministic dynamics, our model incorporates stochastic factors induced by the finite population size. Based on the analysis of the stationary distribution of the evolutionary process in the limit of rare mutations, we prove that it is most likely to find the population in the community where all individuals have the lower migration rate. Furthermore, we show that reducing the difference between the migration rates of distinct communities can increase the first hitting time to the homogeneous absorbing state and can prolong the coexistence time of different species, promoting the conservation of biodiversity.

Suggested Citation

  • Wang, Jing & Chen, Xiaojie & Wang, Long, 2010. "Effects of migration on the evolutionary game dynamics in finite populations with community structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(1), pages 67-78.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:1:p:67-78
    DOI: 10.1016/j.physa.2009.09.003
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    Citations

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    Cited by:

    1. Zhang, Chunyan & Zhang, Jianlei & Xie, Guangming, 2014. "Evolution of cooperation among game players with non-uniform migration scopes," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 103-111.
    2. Quan, Ji & Liu, Wei & Chu, Yuqing & Wang, Xianjia, 2018. "Stochastic dynamics and stable equilibrium of evolutionary optional public goods game in finite populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 123-134.
    3. He, Zhixue & Geng, Yini & Shen, Chen & Shi, Lei, 2020. "Evolution of cooperation in the spatial prisoner’s dilemma game with extortion strategy under win-stay-lose-move rule," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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