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Evolution of Interactions and Cooperation in the Spatial Prisoner's Dilemma Game

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  • Chunyan Zhang
  • Jianlei Zhang
  • Guangming Xie
  • Long Wang
  • Matjaž Perc

Abstract

We study the evolution of cooperation in the spatial prisoner's dilemma game where players are allowed to establish new interactions with others. By employing a simple coevolutionary rule entailing only two crucial parameters, we find that different selection criteria for the new interaction partners as well as their number vitally affect the outcome of the game. The resolution of the social dilemma is most probable if the selection favors more successful players and if their maximally attainable number is restricted. While the preferential selection of the best players promotes cooperation irrespective of game parametrization, the optimal number of new interactions depends somewhat on the temptation to defect. Our findings reveal that the “making of new friends” may be an important activity for the successful evolution of cooperation, but also that partners must be selected carefully and their number limited.

Suggested Citation

  • Chunyan Zhang & Jianlei Zhang & Guangming Xie & Long Wang & Matjaž Perc, 2011. "Evolution of Interactions and Cooperation in the Spatial Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 6(10), pages 1-7, October.
    • Handle: RePEc:plo:pone00:0026724
    DOI: 10.1371/journal.pone.0026724
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    References listed on IDEAS

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    Cited by:

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    2. Kurokawa, Shun & Zheng, Xiudeng & Tao, Yi, 2019. "Cooperation evolves more when players keep the interaction with unknown players," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 209-216.
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    4. Chen, Zhi-Gang & Wang, Tao & Xiao, De-Gui & Xu, Yin, 2013. "Can remembering history from predecessor promote cooperation in the next generation?," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 59-68.
    5. Tian, Lin-Lin & Li, Ming-Chu & Lu, Kun & Zhao, Xiao-Wei & Wang, Zhen, 2013. "The influence of age-driven investment on cooperation in spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 65-70.
    6. Wang, Lei & Xia, Chengyi & Wang, Li & Zhang, Ying, 2013. "An evolving Stag-Hunt game with elimination and reproduction on regular lattices," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 69-76.
    7. Sakiyama, Tomoko, 2021. "A power law network in an evolutionary hawk–dove game," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    8. Wu, Jianshe & Hou, Yanqiao & Jiao, Licheng & Li, Huijie, 2014. "Community structure inhibits cooperation in the spatial prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 169-179.
    9. Li, Pei & Duan, Haibin, 2015. "Evolution of cooperation driven by incremental learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 14-22.
    10. Min, Yong & Du, Yuchen & Jin, Cheng, 2018. "The effect of link rewiring on a coevolutionary common pool resource game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 935-944.

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