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Evolution of groups with a hierarchical structure

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  • Ohnishi, Teruaki
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    Abstract

    The universal occurrence of a hierarchical structure and its dynamic behavior in various types of group, living or abstract, are discussed. Here the word “group” refers not only to tangible aggregation but also to invisible aggregation of social psychological and of geopolitical meaning. The evolution of these groups is simulated using a model of agents distributed on the lattices of cellular grids. It is assumed that agents, fearing isolation, interact asymmetrically with each other with regard to exchange of “power”. As an indicator of hierarchy, the Gini coefficient is introduced. Example calculations are made for the aggregation, fusion and fission of animal groups, and for the appearance of a powerful empire and the rise and fall of supremacy. It is shown that such abstract objects evolve with time in accordance with the universal rules of groups common to birds and fish.

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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 391 (2012)
    Issue (Month): 23 ()
    Pages: 5978-5986

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    Handle: RePEc:eee:phsmap:v:391:y:2012:i:23:p:5978-5986

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Group evolution; Dynamic behavior; Hierarchical structure; Power exchange; Cellular automaton; Agent model;

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    1. Tsujiguchi, Masaru & Odagaki, Takashi, 2007. "Self-organizing social hierarchy and villages in a challenging society," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 317-322.
    2. Bonabeau, Eric & Theraulaz, Guy & Deneubourg, Jean-Louis, 1995. "Phase diagram of a model of self-organizing hierarchies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(3), pages 373-392.
    3. Fujie, Ryo & Odagaki, Takashi, 2010. "Self organization of social hierarchy and clusters in a challenging society with free random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1471-1479.
    4. Zheng, Xiaoping & Li, Wei & Guan, Chao, 2010. "Simulation of evacuation processes in a square with a partition wall using a cellular automaton model for pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(11), pages 2177-2188.
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