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Allelomimesis as a generic clustering mechanism for interacting agents

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  • Juanico, Dranreb Earl
  • Monterola, Christopher
  • Saloma, Caesar

Abstract

We show that allelomimesis is a generic mechanism that could explain why the cluster-size distribution D(s) of diverse social aggregates such as animal groups and socio-economic entities all fit into a power-law distribution: D(s)∝s−τ, where τ is the critical exponent. Roughly, allelomimesis is the tendency of an agent to imitate the actions of its neighbors. A cellular automata model of allelomimesis yields a population-age distribution which is consistent with the assumption of evolutionary biologists that isolation does not enhance the life expectancies of agents. Dependence of τ with degree of allelomimesis is highly nonlinear. The different experimental τ values yielded by the size distributions of real systems such as fish schools, African buffalo herds, US financial firms, and towns around London and Berlin, might be understood as arising from the varying degrees of allelomimesis by system constituents.

Suggested Citation

  • Juanico, Dranreb Earl & Monterola, Christopher & Saloma, Caesar, 2003. "Allelomimesis as a generic clustering mechanism for interacting agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 590-600.
    • Handle: RePEc:eee:phsmap:v:320:y:2003:i:c:p:590-600
    DOI: 10.1016/S0378-4371(02)01556-X
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    References listed on IDEAS

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    1. Stanley, H.E. & Amaral, L.A.N. & Buldyrev, S.V. & Goldberger, A.L. & Havlin, S. & Leschhorn, H. & Maass, P. & Makse, H.A. & Peng, C.-K. & Salinger, M.A. & Stanley, M.H.R. & Viswanathan, G.M., 1996. "Scaling and universality in animate and inanimate systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 231(1), pages 20-48.
    2. Eric Bonabeau & Laurent Dagorn & Pierre Freon, 1999. "Scaling in Animal Group-Size Distributions," Working Papers 99-01-005, Santa Fe Institute.
    3. Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, vol. 74(1), pages 15-19, December.
    4. Rick L. Riolo & Michael D. Cohen & Robert Axelrod, 2001. "Evolution of cooperation without reciprocity," Nature, Nature, vol. 414(6862), pages 441-443, November.
    5. W. R. Young & A. J. Roberts & G. Stuhne, 2001. "Reproductive pair correlations and the clustering of organisms," Nature, Nature, vol. 412(6844), pages 328-331, July.
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    Cited by:

    1. Legara, Erika Fille & Monterola, Christopher & Juanico, Dranreb Earl & Litong-Palima, Marisciel & Saloma, Caesar, 2008. "Earning potential in multilevel marketing enterprises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4889-4895.
    2. Pulido, Maria Teresa & Saloma, Caesar, 2020. "Local acceptance and emergence of consensus in a heterogeneous small-world network of agents with and without memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    3. Juanico, Dranreb Earl O., 2009. "Herding tendency as an aggregating factor in a binary mixture of social entities," Ecological Modelling, Elsevier, vol. 220(24), pages 3521-3526.
    4. Perez, Gay Jane & Saloma, Caesar, 2009. "Allelomimesis as escape strategy of pedestrians in two-exit confinements," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2469-2475.

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