TY - JOUR
T1 - Widening disparity and its suppression in a stochastic replicator model
AU - Sakaguchi, Hidetsugu
N1 - Publisher Copyright:
© 2016 The Physical Society of Japan.
PY - 2016/4/15
Y1 - 2016/4/15
N2 - 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.
AB - 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.
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U2 - 10.7566/JPSJ.85.044002
DO - 10.7566/JPSJ.85.044002
M3 - Article
AN - SCOPUS:84962361115
SN - 0031-9015
VL - 85
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 4
M1 - 044002
ER -