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The co-evolution of cultures, social network communities, and agent locations in an extension of Axelrod’s model of cultural dissemination

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  • Pfau, Jens
  • Kirley, Michael
  • Kashima, Yoshihisa

Abstract

We introduce a variant of the Axelrod model of cultural dissemination in which agents change their physical locations, social links, and cultures. Numerical simulations are used to investigate the evolution of social network communities and the cultural diversity within and between these communities. An analysis of the simulation results shows that an initial peak in the cultural diversity within network communities is evident before agents segregate into a final configuration of culturally homogeneous communities. Larger long-range interaction probabilities facilitate the initial emergence of culturally diverse network communities, which leads to a more pronounced initial peak in cultural diversity within communities. At equilibrium, the number of communities, and hence cultures, increases when the initial cultural diversity increases. However, the number of communities decreases when the lattice size or population density increases. A phase transition between two regimes of initial cultural diversity is evident. For initial diversities below a critical value, a single network community and culture emerges that dominates the population. For initial diversities above the critical value, multiple culturally homogeneous communities emerge. The critical value of initial diversity at which this transition occurs increases with increasing lattice size and population density and generally with increasing absolute population size. We conclude that larger initial diversities promote cultural heterogenization, while larger lattice sizes, population densities, and in fact absolute population sizes promote homogenization.

Suggested Citation

  • Pfau, Jens & Kirley, Michael & Kashima, Yoshihisa, 2013. "The co-evolution of cultures, social network communities, and agent locations in an extension of Axelrod’s model of cultural dissemination," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(2), pages 381-391.
  • Handle: RePEc:eee:phsmap:v:392:y:2013:i:2:p:381-391
    DOI: 10.1016/j.physa.2012.09.004
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    References listed on IDEAS

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    1. Klemm, Konstantin & Eguiluz, Victor M. & Toral, Raul & Miguel, Maxi San, 2005. "Globalization, polarization and cultural drift," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 321-334, January.
    2. Xiao, X.H. & Ye, G.W. & Wang, B. & He, M.F., 2009. "Cultural dissemination in a complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(5), pages 775-779.
    3. Juan Carlos González-Avella & Mario G. Cosenza & Konstantin Klemm & Víctor M. Eguíluz & Maxi San Miguel, 2007. "Information Feedback and Mass Media Effects in Cultural Dynamics," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 10(3), pages 1-9.
    4. Parravano, A. & Rivera-Ramirez, H. & Cosenza, M.G., 2007. "Intracultural diversity in a model of social dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 241-249.
    5. Luis R. Izquierdo & Segismundo S. Izquierdo & José Manuel Galán & José Ignacio Santos, 2009. "Techniques to Understand Computer Simulations: Markov Chain Analysis," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(1), pages 1-6.
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    Cited by:

    1. Liu, Xiao Fan & Tse, Chi Kong, 2014. "Impact of degree mixing pattern on consensus formation in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 1-6.
    2. Zhang, Hong, 2015. "Moderate tolerance promotes tag-mediated cooperation in spatial Prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 52-61.
    3. Raducha, Tomasz & Gubiec, Tomasz, 2017. "Coevolving complex networks in the model of social interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 427-435.

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