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Emergence Of Hierarchy On A Network Of Complementary Agents

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  • M. COPELLI

    (Instituto de FÍsica, Universidade Federal Fluminense, Av. Litorânea, s/n - Boa Viagem, 24210-340 Niterói, RJ, Brazil;
    Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Cidade Universitária, 50670-901 Recife, PE, Brazil)

  • R. M. ZORZENON DOS SANTOS

    (Instituto de FÍsica, Universidade Federal Fluminense, Av. Litorânea, s/n - Boa Viagem, 24210-340 Niterói, RJ, Brazil;
    Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, Cidade Universitária, 50670-901 Recife, PE, Brazil)

  • J. S. SÁ MARTINS

    (Instituto de FÍsica, Universidade Federal Fluminense, Av. Litorânea, s/n - Boa Viagem, 24210-340 Niterói, RJ, Brazil;
    Colorado Center for Chaos and Complexity/CIRES and Department of Physics, University of Colorado, CB 216, Boulder, CO, 80309, USA)

Abstract

Complementarity is one of the main features underlying the interactions in biological and biochemical systems. Inspired by those systems we propose a model for the dynamical evolution of a system composed of agents that interact due to their complementary attributes rather than their similarities. Each agent is represented by a bit-string and has an activity associated to it; the coupling among complementary peers depends on their activity. The connectivity of the system changes in time respecting the constraint of complementarity. We observe the formation of a network of active agents whose stability depends on the rate at which activity of agents diffuses in the system. The model exhibits a nonequilibrium phase transition between the ordered phase, where a stable network is generated, and a disordered phase characterized by the absence of correlation among the agents. The ordered phase exhibits multi-modal distributions of connectivity and activity, indicating a hierarchy of interaction among different populations characterized by different degrees of activity. This model may be used to study the hierarchy observed in social organizations.

Suggested Citation

  • M. Copelli & R. M. Zorzenon Dos Santos & J. S. Sá Martins, 2002. "Emergence Of Hierarchy On A Network Of Complementary Agents," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(06), pages 783-797.
    • Handle: RePEc:wsi:ijmpcx:v:13:y:2002:i:06:n:s0129183102003528
    DOI: 10.1142/S0129183102003528
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    Cited by:

    1. Gennady Shkliarevsky, 2016. "Rethinking Democracy: A Systems Perspective on the Global Unrest," Systems Research and Behavioral Science, Wiley Blackwell, vol. 33(3), pages 452-470, May.

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