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Evolution of cooperation driven by collective interdependence on multilayer networks

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  • Chen, Wei
  • Yang, Zhihu
  • Wu, Te

Abstract

Group interactions, formulated in terms of a public goods game, can not be deduced by the corresponding sum of pairwise interactions. This study proposes a collective interdependence characterizing the functioning of interdependent groups between subnetworks. Via the establishment of global group interactions across subnetwork layers, we show a double-edged sword of collective interdependence in promoting cooperation. Enhancement of collective interdependence hinders the evolution of cooperation whenever global synergy factor is small, while an optimal collective interdependence emerges most favoring the evolution of cooperation for high global synergy factors. However, for such high global synergy factors a low level of interdependence puts cooperators to a most disadvantaged place. A combination of low levels of collective interdependence and high local synergy factors shows that a moderate global synergetic effect most favors the evolution of cooperation. Our work reveals that collective interdependence impacts interdependent network reciprocity significantly and highlights the importance of network reciprocity in enhancing the evolution of cooperation.

Suggested Citation

  • Chen, Wei & Yang, Zhihu & Wu, Te, 2021. "Evolution of cooperation driven by collective interdependence on multilayer networks," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    • Handle: RePEc:eee:apmaco:v:388:y:2021:i:c:s0096300320304884
    DOI: 10.1016/j.amc.2020.125532
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    Cited by:

    1. Wu, Yu’e & Zhang, Zhipeng & Yang, Guoli & Liu, Haixin & Zhang, Qingfeng, 2022. "Evolution of cooperation driven by diversity on a double-layer square lattice," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    2. Gu, Cuiling & Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Liu, Yang, 2022. "Evolutionary dynamics of multi-player snowdrift games based on the Wright-Fisher process," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Wang, Xiaofeng & Perc, Matjaž, 2021. "Emergence of cooperation in spatial social dilemmas with expulsion," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    4. Gao, Shiping & Li, Nan, 2023. "Preference reversal and the evolution of cooperation," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    5. Liao, Hui-Min & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2023. "Cooperative evolution under the joint influence of local popularity and global popularity," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    6. Zhang, Wei & Brandes, Ulrik, 2023. "Is cooperation sustained under increased mixing in evolutionary public goods games on networks?," Applied Mathematics and Computation, Elsevier, vol. 438(C).

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