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Cooperative dynamics of snowdrift game on spatial distance-dependent small-world networks

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  • L. H. Shang
  • X. Li
  • X. F. Wang

Abstract

We investigate the evolution of cooperative behaviors of small-world networking agents in a snowdrift game mode, where two agents (nodes) are connected with probability depending on their spatial Euclidean lattice distance in the power-law form controlled by an exponent α. Extensive numerical simulations indicate that the game dynamics crucially depends on the spatial topological structure of underlying networks with different values of the exponent α. Especially, in the distance-independent case of α=0, the small-world connectivity pattern contributes to an enhancement of cooperation compared with that in regular lattices, even for the case of having a high cost-to-benefit ratio r. However, with the increment of α>0, when r≥0.4, the spatial distance-dependent small-world (SDSW) structure tends to inhibit the evolution of cooperation in the snowdrift game. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • L. H. Shang & X. Li & X. F. Wang, 2006. "Cooperative dynamics of snowdrift game on spatial distance-dependent small-world networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(3), pages 369-373, December.
    • Handle: RePEc:spr:eurphb:v:54:y:2006:i:3:p:369-373
    DOI: 10.1140/epjb/e2006-00454-8
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    Citations

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    Cited by:

    1. Ye, Ye & Xie, Neng-gang & Wang, Lu & Cen, Yu-wan, 2013. "The multi-agent Parrondo’s model based on the network evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5414-5421.
    2. Karbowski, Adam, 2009. "Sieci społeczne i technologiczne: wpływ na proces powstawania innowacji w gospodarce [Social and Technological Networks and its Effects on Innovation Dynamics]," MPRA Paper 73624, University Library of Munich, Germany.
    3. Ye, Ye & Hang, Xiao Rong & Koh, Jin Ming & Miszczak, Jarosław Adam & Cheong, Kang Hao & Xie, Neng-gang, 2020. "Passive network evolution promotes group welfare in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    4. Wang, Xianjia & Chen, Wenman, 2020. "Evolutionary dynamics in spatial threshold public goods game with the asymmetric return rate mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    5. Zhong, Shiquan & Jia, Ning & Ma, Shoufeng, 2014. "Iterated snowdrift game among mobile agents with myopic expected-reward based decision rule: Numerical and analytical research," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 6-18.
    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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