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Metric clusters in evolutionary games on scale-free networks

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  • Kaj-Kolja Kleineberg

    (Computational Social Science, ETH Zurich)

Abstract

The evolution of cooperation in social dilemmas in structured populations has been studied extensively in recent years. Whereas many theoretical studies have found that a heterogeneous network of contacts favors cooperation, the impact of spatial effects in scale-free networks is still not well understood. In addition to being heterogeneous, real contact networks exhibit a high mean local clustering coefficient, which implies the existence of an underlying metric space. Here we show that evolutionary dynamics in scale-free networks self-organize into spatial patterns in the underlying metric space. The resulting metric clusters of cooperators are able to survive in social dilemmas as their spatial organization shields them from surrounding defectors, similar to spatial selection in Euclidean space. We show that under certain conditions these metric clusters are more efficient than the most connected nodes at sustaining cooperation and that heterogeneity does not always favor—but can even hinder—cooperation in social dilemmas.

Suggested Citation

  • Kaj-Kolja Kleineberg, 2017. "Metric clusters in evolutionary games on scale-free networks," Nature Communications, Nature, vol. 8(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:8:y:2017:i:1:d:10.1038_s41467-017-02078-y
    DOI: 10.1038/s41467-017-02078-y
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    Cited by:

    1. Mao, Yajun & Rong, Zhihai & Wu, Zhi-Xi, 2021. "Effect of collective influence on the evolution of cooperation in evolutionary prisoner’s dilemma games," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    2. Sarkar, Bijan, 2021. "The cooperation–defection evolution on social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    3. Qing Cai & Mahardhika Pratama & Sameer Alam, 2019. "Interdependency and Vulnerability of Multipartite Networks under Target Node Attacks," Complexity, Hindawi, vol. 2019, pages 1-16, November.
    4. Liming Zhang & Ming Cai & Yingxin Zhang & Shuai Wang & Yao Xiao, 2024. "Two-layer network evolutionary game model applied to complex systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(11), pages 1-17, November.
    5. Chen, Wei & Wang, Jianwei & Yu, Fengyuan & He, Jialu & Xu, Wenshu & Wang, Rong, 2021. "Effects of emotion on the evolution of cooperation in a spatial prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    6. Yang, Yimei & Sun, Hao & Hou, Dongshuang, 2023. "Heterogeneous negotiation undermines cooperation in prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    7. Duh, Maja & Gosak, Marko & Perc, Matjaž, 2021. "Public goods games on random hyperbolic graphs with mixing," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    8. Pu, Jia & Jia, Tao & Li, Ya, 2019. "Effects of time cost on the evolution of cooperation in snowdrift game," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 146-151.

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