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Self-Organized Societies: On the Sakoda Model of Social Interactions

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  • Pablo Medina
  • Eric Goles
  • Roberto Zarama
  • Sergio Rica

Abstract

We characterize the behavior and the social structures appearing from a model of general social interaction proposed by Sakoda. The model consists of two interacting populations in a two-dimensional periodic lattice with empty sites. It contemplates a set of simple rules that combine attitudes, ranges of interactions, and movement decisions. We analyze the evolution of the 45 different interaction rules via a Potts-like energy function which drives the system irreversibly to an equilibrium or a steady state. We discuss the robustness of the social structures, dynamical behaviors, and the existence of spatial long range order in terms of the social interactions and the equilibrium energy.

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  • Pablo Medina & Eric Goles & Roberto Zarama & Sergio Rica, 2017. "Self-Organized Societies: On the Sakoda Model of Social Interactions," Complexity, Hindawi, vol. 2017, pages 1-16, January.
    • Handle: RePEc:hin:complx:3548591
    DOI: 10.1155/2017/3548591
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    Cited by:

    1. Catalina Canals & Eric Goles & Aldo Mascareño & Sergio Rica & Gonzalo A. Ruz, 2018. "School Choice in a Market Environment: Individual versus Social Expectations," Complexity, Hindawi, vol. 2018, pages 1-11, December.
    2. Vasilii A. Gromov & Anastasia M. Migrina, 2017. "A Language as a Self-Organized Critical System," Complexity, Hindawi, vol. 2017, pages 1-7, November.

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