Widening disparity and its suppression in a stochastic replicator model

    研究成果: ジャーナルへの寄稿学術誌査読

    抄録

    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.

    本文言語英語
    論文番号044002
    ジャーナルjournal of the physical society of japan
    85
    4
    DOI
    出版ステータス出版済み - 4月 15 2016

    All Science Journal Classification (ASJC) codes

    • 物理学および天文学(全般)

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