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Neighbor-considered migration facilitates cooperation in prisoner’s dilemma games

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  • Ren, Yizhi
  • Chen, Xiangyu
  • Wang, Zhen
  • Shi, Benyun
  • Cui, Guanghai
  • Wu, Ting
  • Choo, Kim-Kwang Raymond

Abstract

Migration (e.g. between cities and nations) has been shown to be an effective mechanism in facilitating the evolution of cooperation in spatial games. In contingent migration (e.g. success-driven migration), individuals choose the relocation place based on their expected payoffs. In other words, success-driven migration assumes that individuals make decisions about where to migrate strategically rather than randomly. Existing behavioral experiments have shown that human have other-regarding preference. In this paper, we study individuals’ cooperation behaviors in the prisoner’s dilemma game on a two-dimensional square lattice, where individuals have other-regarding migration preference. We introduce a neighbor-considered migration strategy, which considers both benefits of individuals and their neighbors. During the migration process, an individual always moves to a reachable empty site with the highest fairness payoff, which takes the benefit of all relevant stakeholders (including the particular individual and the neighbors) into consideration. We explore the effect of the different fairness, while considering the individuals when they weigh their own interests and their neighbors’ interests. Our simulation results indicate that neighbor-considered migration can effectively promote the level of cooperation by helping cooperative clusters evade the invasion of defectors.

Suggested Citation

  • Ren, Yizhi & Chen, Xiangyu & Wang, Zhen & Shi, Benyun & Cui, Guanghai & Wu, Ting & Choo, Kim-Kwang Raymond, 2018. "Neighbor-considered migration facilitates cooperation in prisoner’s dilemma games," Applied Mathematics and Computation, Elsevier, vol. 323(C), pages 95-105.
  • Handle: RePEc:eee:apmaco:v:323:y:2018:i:c:p:95-105
    DOI: 10.1016/j.amc.2017.11.043
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    References listed on IDEAS

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    1. Dirk Helbing & Wenjian Yu, 2008. "Migration As A Mechanism To Promote Cooperation," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 11(04), pages 641-652.
    2. Bo, Xianyu, 2010. "Other-regarding preference and the evolutionary prisoner’s dilemma on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(5), pages 1105-1114.
    3. Chen, Mei-huan & Wang, Li & Wang, Juan & Sun, Shi-wen & Xia, Cheng-yi, 2015. "Impact of individual response strategy on the spatial public goods game within mobile agents," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 192-202.
    4. Vainstein, Mendeli H. & Arenzon, Jeferson J., 2014. "Spatial social dilemmas: Dilution, mobility and grouping effects with imitation dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 145-157.
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    Cited by:

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    3. Wang, Zhen & Zhang, Geng-shun & Ding, Hong & Cui, Guang-Hai & Yao, Ye, 2019. "Strategy imitation behavior driven influence adjustment promotes cooperation in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    4. Zhao, Xiaowei & Xia, Haoxiang, 2023. "Information accuracy of migration and imitation influences the evolution of cooperation in spatial prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
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