A Dynamical Mechanism for the Evolution and Breakdown of Cooperation in the Snowdrift Game in Adaptive Networks

  • Gerd Zschaler
  • Arne Traulsen
  • Thilo Gross
Part of the Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering book series (LNICST, volume 87)


We present a novel dynamical mechanism promoting cooperation in the snowdrift game on an adaptive network. In infinite systems, asymptotic full cooperation can be achieved, while sudden breakdowns of highly cooperative states are observed in finite systems.


  1. 1.
    Nowak, M.A., Sigmund, K.: Science 303, 793–799 (2004)CrossRefGoogle Scholar
  2. 2.
    Doebeli, M., Hauert, C.: Ecol. Lett. 8, 748–766 (2005)CrossRefGoogle Scholar
  3. 3.
    Macy, M.W., Flache, A.: Proc. Natl. Acad. Sci. U. S. A. 99, 7229–7236 (2002)CrossRefGoogle Scholar
  4. 4.
    Zimmermann, M.G., Eguíluz, V.M., San Miguel, M., Spadaro, A.: Adv. Complex Syst. 3, 283 (2000)CrossRefGoogle Scholar
  5. 5.
    Santos, F.C., Pacheco, J.M., Lenaerts, T.: Proc. Natl. Acad. Sci. U. S. A. 103, 3490–3494 (2006)CrossRefGoogle Scholar
  6. 6.
    Pacheco, J.M., Traulsen, A., Nowak, M.A.: Phys. Rev. Lett. 97, 258103 (2006)CrossRefGoogle Scholar
  7. 7.
    Gross, T., Blasius, B.: J. R. Soc. Interface 5, 259–271 (2008)CrossRefGoogle Scholar
  8. 8.
    Gross, T., D’Lima, C.J.D., Blasius, B.: Phys. Rev. Lett. 96, 208701 (2006)CrossRefGoogle Scholar
  9. 9.
    Keeling, M.J., Eames, K.T.D.: J. R. Soc. Interface 2, 295 (2005)CrossRefGoogle Scholar
  10. 10.
    Szolnoki, A., Perc, M.: New J. Phys. 11, 093033 (2009)Google Scholar
  11. 11.
    Turchin, P.: Historical Dynamics: Why States Rise and Fall. Princeton Studies in Complexity. Princeton University Press (2003)Google Scholar

Copyright information

© ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering 2012

Authors and Affiliations

  • Gerd Zschaler
    • 1
  • Arne Traulsen
    • 2
  • Thilo Gross
    • 1
  1. 1.Max-Planck-Institut für Physik komplexer SystemeDresdenGermany
  2. 2.Max-Planck-Institut für EvolutionsbiologiePlönGermany

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