The emergence and evolution of cooperation on complex networks

Han Xin Yang, Wen Xu Wang, Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The emergence and evolution of cooperation in complex natural, social and economical systems is an interdisciplinary topic of recent interest. This paper focuses on the cooperation on complex networks using the approach of evolutionary games. In particular, the phenomenon of diversity-optimized cooperation is briefly reviewed and the effect of network clustering on cooperation is treated in detail. For the latter, a general type of public goods games is used with the result that, for fixed average degree and degree distributions in the underlying network, a high clustering coefficient can promote cooperation. Basic quantities such as the cooperator and defector clusters, mean payoffs of cooperators and defectors along their respective boundaries, the fraction of cooperators for different classes as well as the mean payoffs of hubs in scale-free networks are also investigated. Since strong clustering is typical in many social networks, these results provide insights into the emergence of cooperation in such networks.

Original languageEnglish (US)
Article number1250228
JournalInternational Journal of Bifurcation and Chaos
Issue number9
StatePublished - Sep 2012


  • Clustering coefficient
  • Cooperation
  • Evolutionary game
  • Public goods game
  • Scale-free networks
  • Small-world networks

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics


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