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Asymptotic analysis of the model for distribution of high-tax payers

Hiroshi Yamamoto·Toshiya Ohtsuki·Akihiro Fujihara·Satoshi Tanimoto·Keizo Yamamoto·Sasuke Miyazima
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Abstract

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. 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. 2007-10-22. Asymptotic analysis of the model for distribution of high-tax payers. https://doi.org/10.1088/1742-6596%2F31%2F1%2F009

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