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Influence of topology in the evolution of coordination in complex networks under information diffusion constraints

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  • Dharshana Kasthurirathna
  • Mahendra Piraveenan
  • Michael Harré

Abstract

In this paper, we study the influence of the topological structure of social systems on the evolution of coordination in them. We simulate a coordination game (“Stag-hunt”) on four well-known classes of complex networks commonly used to model social systems, namely scale-free, small-world, random and hierarchical-modular, as well as on the well-mixed model. Our particular focus is on understanding the impact of information diffusion on coordination, and how this impact varies according to the topology of the social system. We demonstrate that while time-lags and noise in the information about relative payoffs affect the emergence of coordination in all social systems, some topologies are markedly more resilient than others to these effects. We also show that, while non-coordination may be a better strategy in a society where people do not have information about the payoffs of others, coordination will quickly emerge as the better strategy when people get this information about others, even with noise and time lags. Societies with the so-called small-world structure are most conducive to the emergence of coordination, despite limitations in information propagation, while societies with scale-free topologies are most sensitive to noise and time-lags in information diffusion. Surprisingly, in all topologies, it is not the highest connected people (hubs), but the slightly less connected people (provincial hubs) who first adopt coordination. Our findings confirm that the evolution of coordination in social systems depends heavily on the underlying social network structure. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Dharshana Kasthurirathna & Mahendra Piraveenan & Michael Harré, 2014. "Influence of topology in the evolution of coordination in complex networks under information diffusion constraints," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(1), pages 1-15, January.
  • Handle: RePEc:spr:eurphb:v:87:y:2014:i:1:p:1-15:10.1140/epjb/e2013-40824-5
    DOI: 10.1140/epjb/e2013-40824-5
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Dharshana Kasthurirathna & Prasan Ratnayake & Mahendra Piraveenan, 2022. "Disassortative Mixing and Systemic Rational Behaviour: How System Rationality Is Influenced by Topology and Placement in Networked Systems," Mathematics, MDPI, vol. 10(18), pages 1-17, September.
    2. Zhu, Zhewen & Dong, Yuting & Lu, Yikang & Shi, Lei, 2021. "Information exchange promotes and jeopardizes cooperation on interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
    3. Mahendra Piraveenan, 2019. "Applications of Game Theory in Project Management: A Structured Review and Analysis," Mathematics, MDPI, vol. 7(9), pages 1-31, September.

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