Widening disparity and its suppression in a stochastic replicator model

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    Abstract

    Winner-take-all phenomena are observed in various competitive systems. We find similar phenomena in replicator models with randomly fluctuating growth rates. The disparity between winners and losers increases indefinitely, even if all elements are statistically equivalent. A lognormal distribution describes well the nonstationary time evolution. If a nonlinear load corresponding to progressive taxation is introduced, a stationary distribution is obtained and disparity widening is suppressed.

    Original languageEnglish
    Article number044002
    Journaljournal of the physical society of japan
    Volume85
    Issue number4
    DOIs
    Publication statusPublished - Apr 15 2016

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

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