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Impact of neighborhood separation on the spatial reciprocity in the prisoner’s dilemma game

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  • Xia, Chengyi
  • Miao, Qin
  • Zhang, Juanjuan

Abstract

The evolutionary game theory is a very powerful tool to understand the collective cooperation behavior in many real-world systems. In the spatial game model, the payoff is often first obtained within a specific neighborhood (i.e., interaction neighborhood) and then the focal player imitates or learns the behavior of a randomly selected one inside another neighborhood which is named after the learning neighborhood. However, most studies often assume that the interaction neighborhood is identical with the learning neighborhood. Beyond this assumption, we present a spatial prisoner’s dilemma game model to discuss the impact of separation between interaction neighborhood and learning neighborhood on the cooperative behaviors among players on the square lattice. Extensive numerical simulations demonstrate that separating the interaction neighborhood from the learning neighborhood can dramatically affect the density of cooperators (ρC) in the population at the stationary state. In particular, compared to the standard case, we find that the medium-sized learning (interaction) neighborhood allows the cooperators to thrive and substantially favors the evolution of cooperation and ρC can be greatly elevated when the interaction (learning) neighborhood is fixed, that is, too little or much information is not beneficial for players to make the contributions for the collective cooperation. Current results are conducive to further analyzing and understanding the emergence of cooperation in many natural, economic and social systems.

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  • Xia, Chengyi & Miao, Qin & Zhang, Juanjuan, 2013. "Impact of neighborhood separation on the spatial reciprocity in the prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 51(C), pages 22-30.
  • Handle: RePEc:eee:chsofr:v:51:y:2013:i:c:p:22-30
    DOI: 10.1016/j.chaos.2013.03.002
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    2. Wang, Yi-Ling, 2013. "Learning ability driven by majority selection enhances spatial reciprocity in prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 96-100.
    3. Liu, Danna & Huang, Changwei & Dai, Qionglin & Li, Haihong, 2019. "Positive correlation between strategy persistence and teaching ability promotes cooperation in evolutionary Prisoner’s Dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 267-274.
    4. Li, Hong-yang & Xiao, Jian & Li, Yu-meng & Wang, Zhen, 2013. "Effects of neighborhood type and size in spatial public goods game on diluted lattice," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 145-153.
    5. Liu, Yandi & Wang, Hexin & Ding, Yi & Yang, Xuan & Dai, Yu, 2022. "Can weak diversity help in propagating cooperation? Invasion of cooperators at the conformity-conflict boundary," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    6. Deng, Yunsheng & Zhang, Jihui, 2021. "The role of the preferred neighbor with the expected payoff on cooperation in spatial public goods game under optimal strategy selection mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    7. Wang, Yi-Ling, 2013. "Asymmetric evaluation of fitness enhances spatial reciprocity in social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 76-81.
    8. Liu, Yandi & Zheng, Tainian & Li, Yonghui & Dai, Yu, 2020. "Does the conformity save us when information advantage fails?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    9. Tao Wang & Keke Huang & Zhen Wang & Xiaoping Zheng, 2015. "Impact of Small Groups with Heterogeneous Preference on Behavioral Evolution in Population Evacuation," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-13, March.
    10. Huang, Yuankan & Inohara, Takehiro, 2015. "Group-separations based on the repeated prisoners’ dilemma games," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 267-275.
    11. Huang, Changwei & Han, Wenchen & Li, Haihong & Cheng, Hongyan & Dai, Qionglin & Yang, Junzhong, 2019. "Public cooperation in two-layer networks with asymmetric interaction and learning environments," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 305-313.
    12. Hu, Menglong & Wang, Juan & Kong, Lingcong & An, Kang & Bi, Tao & Guo, Baohong & Dong, Enzeng, 2015. "Incorporating the information from direct and indirect neighbors into fitness evaluation enhances the cooperation in the social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 47-52.
    13. Tian, Lin-Lin & Li, Ming-Chu & Wang, Zhen, 2016. "Cooperation enhanced by indirect reciprocity in spatial prisoner’s dilemma games for social P2P systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1252-1260.
    14. Zhang, Shuhua & Zhang, Zhipeng & Wu, Yu’e & Yan, Ming & Xie, Yunya, 2018. "Tolerance-based punishment and cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 267-272.

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