Axelrod model: accepting or discussing

  • Bartlomiej DybiecEmail author
  • Namiko Mitarai
  • Kim Sneppen
Regular Article


Agents building social systems are characterized by complex states, and interactions among individuals can align their opinions. The Axelrod model describes how local interactions can result in emergence of cultural domains. We propose two variants of the Axelrod model where local consensus is reached either by listening and accepting one of neighbors’ opinion or two agents discuss their opinion and achieve an agreement with mixed opinions. We show that the local agreement rule affects the character of the transition between the single culture and the multiculture regimes.


Statistical and Nonlinear Physics 


  1. 1.
    C. Castellano, S. Fortunanon, V. Loreto, Rev. Mod. Phys. 81, 591 (2009)ADSCrossRefGoogle Scholar
  2. 2.
    P. Clifford, A. Sudbury, Biometrika 60, 581 (1973)MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    R.A. Holley, T.M. Liggett, Ann. Probab. 3, 643 (1975)MathSciNetzbMATHCrossRefGoogle Scholar
  4. 4.
    M. Lewenstein, A. Nowak, B. Latané, Phys. Rev. A 45, 763 (1992)MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    S. Galam, Eur. Phys. J. B 25, 403 (2002)ADSGoogle Scholar
  6. 6.
    K. Sznajd-Weron, J. Sznajd, Int. J. Mod. Phys. C 11, 1157 (2000)ADSCrossRefGoogle Scholar
  7. 7.
    G. Deffuant, D. Neau, F. Amblard, G. Weisbuch, Adv. Complex Syst. 3, 87 (2000)CrossRefGoogle Scholar
  8. 8.
    R. Hegselmann, U. Krause, J. Artif. Soc. Soc. Simulat. 5 (2002)Google Scholar
  9. 9.
    R. Axelrod, J. Conflict Resolt. 41, 203 (1997)CrossRefGoogle Scholar
  10. 10.
    C. Castellano, M. Marsili, A. Vespignani, Phys. Rev. Lett. 85, 3536 (2000)ADSCrossRefGoogle Scholar
  11. 11.
    B. Dybiec, N. Mitarai, K. Sneppen, Phys. Rev. E 85, 056116 (2012)ADSCrossRefGoogle Scholar
  12. 12.
    L. Lizana, N. Mitarai, K. Sneppen, H. Nakanishi, Phys. Rev. E 83, 066116 (2011)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Bartlomiej Dybiec
    • 1
    • 2
    Email author
  • Namiko Mitarai
    • 1
  • Kim Sneppen
    • 1
  1. 1.Center for Models of Life, Niels Bohr InstituteUniversity of CopenhagenCopenhagen ØDenmark
  2. 2.Marian Smoluchowski Institute of Physics, and Mark Kac Center for Complex Systems ResearchJagiellonian UniversityKrakówPoland

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