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Cooperation and community structure in social networks

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  • Luthi, Leslie
  • Pestelacci, Enea
  • Tomassini, Marco
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    Abstract

    Situations of conflict giving rise to social dilemmas are widespread in society. One way of studying these important phenomena is by using simplified models of individual behavior under conflicting situations such as evolutionary game theory. Starting from the observation that individuals interact through networks of acquaintances, we study the evolution of cooperation on model and real social networks through well known paradigmatic games. Using a new payoff scheme which leaves replicator dynamics invariant, we find that cooperation is sustainable in such networks, even in the difficult case of the prisoner’s dilemma. The evolution and stability of cooperation implies the condensation of game strategies into the existing community structures of the social network in which clusters of cooperators survive thanks to their higher connectivity towards other fellow cooperators.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437107010059
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 387 (2008)
    Issue (Month): 4 ()
    Pages: 955-966

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    Handle: RePEc:eee:phsmap:v:387:y:2008:i:4:p:955-966

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Evolution of cooperation; Social networks; Community structure;

    References

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    1. M. C. González & P. G. Lind & H. J. Herrmann, 2006. "Model of mobile agents for sexual interactions networks," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 49(3), pages 371-376, 02.
    2. Nobuyuki Hanaki & Alexander Peterhansl & Peter S. Dodds & Duncan J. Watts, 2007. "Cooperation in Evolving Social Networks," Management Science, INFORMS, vol. 53(7), pages 1036-1050, July.
    3. Vega-Redondo,Fernando, 2003. "Economics and the Theory of Games," Cambridge Books, Cambridge University Press, number 9780521775908, October.
    4. Bianconi, Ginestra & Marsili, Matteo & Vega-Redondo, Fernando, 2005. "On the non-trivial dynamics of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(1), pages 116-122.
    5. Nowak, Martin & Sasaki, Akira & Fudenberg, Drew & Taylor, Christine, 2004. "Emergence of Cooperation and Evolutionary Stability in Finite Populations," Scholarly Articles 3196331, Harvard University Department of Economics.
    6. Capocci, A. & Servedio, V.D.P. & Caldarelli, G. & Colaiori, F., 2005. "Detecting communities in large networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 669-676.
    7. Barabási, A.L & Jeong, H & Néda, Z & Ravasz, E & Schubert, A & Vicsek, T, 2002. "Evolution of the social network of scientific collaborations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 311(3), pages 590-614.
    8. Toivonen, Riitta & Onnela, Jukka-Pekka & Saramäki, Jari & Hyvönen, Jörkki & Kaski, Kimmo, 2006. "A model for social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 851-860.
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    Cited by:
    1. Rezaei, Golriz & Kirley, Michael, 2012. "Dynamic social networks facilitate cooperation in the N-player Prisoner’s Dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6199-6211.
    2. Salehi, Mostafa & Rabiee, Hamid R. & Jalili, Mahdi, 2010. "Motif structure and cooperation in real-world complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5521-5529.
    3. Tsukamoto, Ei & Shirayama, Susumu, 2010. "Influence of the variance of degree distributions on the evolution of cooperation in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 577-586.

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