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Power-law distributed temporal heterogeneity of human activities promotes cooperation on complex networks

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  • Liu, Chao
  • Li, Rong

Abstract

An evolutionary prisoner’s dilemma game (PDG) with players located on Barabási–Albert scale-free networks is studied. The impact of players’ heterogeneous temporal activity pattern on the evolution of cooperation is investigated. To this end, the normal procedure that players update their strategies immediately after a round of game is discarded. Instead, players update strategies according to their assigned reproduction time, which follows a power-law distribution. We find that the temporal heterogeneity of players’ activities facilitates the prosperity of cooperation, indicating the important role of hubs in the maintenance of cooperation on scale-free networks. When the reproduction time is assigned to individuals negatively related to their degrees, a fluctuation of the cooperation level with the increase of the exponent β is observed.

Suggested Citation

  • Liu, Chao & Li, Rong, 2016. "Power-law distributed temporal heterogeneity of human activities promotes cooperation on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 93-100.
    • Handle: RePEc:eee:phsmap:v:457:y:2016:i:c:p:93-100
    DOI: 10.1016/j.physa.2016.03.051
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    References listed on IDEAS

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    1. A. Szolnoki & M. Perc & G. Szabó, 2008. "Diversity of reproduction rate supports cooperation in the prisoner's dilemma game on complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 505-509, February.
    2. Wu, Zhi-Xi & Guan, Jian-Yue & Xu, Xin-Jian & Wang, Ying-Hai, 2007. "Evolutionary prisoner's dilemma game on Barabási–Albert scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 672-680.
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    1. Hadzibeganovic, Tarik & Liu, Chao & Li, Rong, 2021. "Effects of reproductive skew on the evolution of ethnocentrism in structured populations with variable size," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).

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