EMERGENCE OF HIERARCHY ON A NETWORK OF COMPLEMENTARY AGENTS

M. Copelli (), R. M. Zorzenon Dos Santos () and J. S. Sá Martins ()
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M. Copelli: Instituto de FÍsica, Universidade Federal Fluminense, Av. Litorânea, s/n - Boa Viagem, 24210-340 Niterói, RJ, Brazil;
R. M. Zorzenon Dos Santos: Instituto de FÍsica, Universidade Federal Fluminense, Av. Litorânea, s/n - Boa Viagem, 24210-340 Niterói, RJ, Brazil;
J. S. Sá Martins: Instituto de FÍsica, Universidade Federal Fluminense, Av. Litorânea, s/n - Boa Viagem, 24210-340 Niterói, RJ, Brazil;

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 06, 783-797

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.

Keywords: Complex networks; Monte Carlo simulations; complementary agents; population dynamics; hierarchy; bit-string; 02.50.Le; 05.65.+b; 87.23.Ge (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102003528

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