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Dependency Links Can Hinder the Evolution of Cooperation in the Prisoner’s Dilemma Game on Lattices and Networks

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  • Xuwen Wang
  • Sen Nie
  • Binghong Wang

Abstract

Networks with dependency links are more vulnerable when facing the attacks. Recent research also has demonstrated that the interdependent groups support the spreading of cooperation. We study the prisoner’s dilemma games on spatial networks with dependency links, in which a fraction of individual pairs is selected to depend on each other. The dependency individuals can gain an extra payoff whose value is between the payoff of mutual cooperation and the value of temptation to defect. Thus, this mechanism reflects that the dependency relation is stronger than the relation of ordinary mutual cooperation, but it is not large enough to cause the defection of the dependency pair. We show that the dependence of individuals hinders, promotes and never affects the cooperation on regular ring networks, square lattice, random and scale-free networks, respectively. The results for the square lattice and regular ring networks are demonstrated by the pair approximation.

Suggested Citation

  • Xuwen Wang & Sen Nie & Binghong Wang, 2015. "Dependency Links Can Hinder the Evolution of Cooperation in the Prisoner’s Dilemma Game on Lattices and Networks," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-9, March.
    • Handle: RePEc:plo:pone00:0121508
    DOI: 10.1371/journal.pone.0121508
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    References listed on IDEAS

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    1. Francisco C. Santos & Marta D. Santos & Jorge M. Pacheco, 2008. "Social diversity promotes the emergence of cooperation in public goods games," Nature, Nature, vol. 454(7201), pages 213-216, July.
    2. Zhen Wang & Lin Wang & Zi-Yu Yin & Cheng-Yi Xia, 2012. "Inferring Reputation Promotes the Evolution of Cooperation in Spatial Social Dilemma Games," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-9, July.
    3. Ernst Fehr & Urs Fischbacher, 2004. "Social norms and human cooperation," Macroeconomics 0409026, University Library of Munich, Germany.
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    Cited by:

    1. Yang Wang & Binghong Wang, 2015. "Evolution of Cooperation on Spatial Network with Limited Resource," PLOS ONE, Public Library of Science, vol. 10(8), pages 1-9, August.
    2. Sun, Chengbin & Luo, Chao, 2020. "Co-evolution of influence-based preferential selection and limited resource with multi-games on interdependent networks," Applied Mathematics and Computation, Elsevier, vol. 374(C).

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