Open Access
June 2007 Asymptotic Analysis of the Model for Distribution of High-Tax Payers
Hiroshi Yamamoto, Toshiya Ohtsuki, Akihiro Fujihara, Satoshi Tanimoto, Keizo Yamamoto, Sasuke Miyazima
Japan J. Indust. Appl. Math. 24(2): 211-218 (June 2007).


The z-transform technique is used to investigate the model for distribution of high-tax payers, which is proposed by two of the authors (K. Y and S. M) and others [12]--[14]. Our analysis shows an asymptotic power-law of this model with the exponent $-5/2$ when a total ``mass'' has a certain critical value. Below the critical value, the system exhibits an ordinary critical behavior, and scaling relations hold. Above the threshold, numerical simulations show that a power-law distribution coexists with a huge ``monopolized'' member. It is argued that these behaviors are observed universally in conserved aggregation processes, by analizing an extended model.


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Hiroshi Yamamoto. Toshiya Ohtsuki. Akihiro Fujihara. Satoshi Tanimoto. Keizo Yamamoto. Sasuke Miyazima. "Asymptotic Analysis of the Model for Distribution of High-Tax Payers." Japan J. Indust. Appl. Math. 24 (2) 211 - 218, June 2007.


Published: June 2007
First available in Project Euclid: 17 December 2007

zbMATH: 1151.91660
MathSciNet: MR2338155

Keywords: asymptotic analysis , high income model , Power-law distribution

Rights: Copyright © 2007 The Japan Society for Industrial and Applied Mathematics

Vol.24 • No. 2 • June 2007
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