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Activity of a social dynamics model

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  • Reia, Sandro M.
  • Neves, Ubiraci P.C.

Abstract

Axelrod’s model was proposed to study interactions between agents and the formation of cultural domains. It presents a transition from a monocultural to a multicultural steady state which has been studied in the literature by evaluation of the relative size of the largest cluster. In this article, we propose new measurements based on the concept of activity per agent to study the Axelrod’s model on the square lattice. We show that the variance of system activity can be used to indicate the critical points of the transition. Furthermore the frequency distribution of the system activity is able to show a coexistence of phases typical of a first order phase transition. Finally, we verify a power law dependence between cluster activity and cluster size for multicultural steady state configurations at the critical point.

Suggested Citation

  • Reia, Sandro M. & Neves, Ubiraci P.C., 2015. "Activity of a social dynamics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 36-43.
    • Handle: RePEc:eee:phsmap:v:435:y:2015:i:c:p:36-43
    DOI: 10.1016/j.physa.2015.04.031
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    References listed on IDEAS

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    1. Lanchier, Nicolas & Schweinsberg, Jason, 2012. "Consensus in the two-state Axelrod model," Stochastic Processes and their Applications, Elsevier, vol. 122(11), pages 3701-3717.
    2. Klemm, Konstantin & Eguı́luz, Vı́ctor M & Toral, Raúl & Miguel, Maxi San, 2003. "Role of dimensionality in Axelrod's model for the dissemination of culture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 1-5.
    3. Gordon Tullock, 1959. "Problems of Majority Voting," Journal of Political Economy, University of Chicago Press, vol. 67(6), pages 571-571.
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    1. Si, Xia-Meng & Wang, Wen-Dong & Zhai, Chun-Qing & Ma, Yan, 2017. "A topic evolution model with sentiment and selective attention," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 480-491.
    2. Si, Xia-Meng & Wang, Wen-Dong & Ma, Yan, 2016. "Role of propagation thresholds in sentiment-based model of opinion evolution with information diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 549-559.

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