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A multi-community homogeneous small-world network and its fundamental characteristics

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  • Tanimoto, Jun

Abstract

We introduce a new small-world network–which we call the multi-community homogeneous-small-world network–that is divided into multiple communities that are relatively isolated, similar to sparsely connected islands. A generating algorithm is presented and its network parameters are explored. To elucidate the fundamental characteristics of the proposed topology, we adopt spatial prisoner’s dilemma games as a template for discussion. Comparing with a conventional homogeneous small-world network, more enhanced network reciprocity is observed in games where a stag hunt-type dilemma is large. With intensive analysis, we find how this enhancement is brought about.

Suggested Citation

  • Tanimoto, Jun, 2016. "A multi-community homogeneous small-world network and its fundamental characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 88-97.
    • Handle: RePEc:eee:phsmap:v:460:y:2016:i:c:p:88-97
    DOI: 10.1016/j.physa.2016.04.044
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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. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906, Decembrie.
    3. Tanimoto, Jun, 2015. "The impact of initial cooperation fraction on the evolutionary fate in a spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 171-188.
    4. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
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    Cited by:

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