Asymptotic Analysis of the Model for Distribution of High-Tax Payers
Yamamoto, Hiroshi ; Ohtsuki, Toshiya ; Fujihara, Akihiro ; Tanimoto, Satoshi ; Yamamoto, Keizo ; Miyazima, Sasuke
Japan J. Indust. Appl. Math., Tome 24 (2007) no. 1, p. 211-218 / Harvested from Project Euclid
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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.
Publié le : 2007-06-14
Classification:  power-law distribution,  high income model,  asymptotic analysis 
@article{1197908781,
     author = {Yamamoto, Hiroshi and Ohtsuki, Toshiya and Fujihara, Akihiro and Tanimoto, Satoshi and Yamamoto, Keizo and Miyazima, Sasuke},
     title = {Asymptotic Analysis of the Model for Distribution of High-Tax Payers},
     journal = {Japan J. Indust. Appl. Math.},
     volume = {24},
     number = {1},
     year = {2007},
     pages = { 211-218},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1197908781}
}

Yamamoto, Hiroshi; Ohtsuki, Toshiya; Fujihara, Akihiro; Tanimoto, Satoshi; Yamamoto, Keizo; Miyazima, Sasuke. Asymptotic Analysis of the Model for Distribution of High-Tax Payers. Japan J. Indust. Appl. Math., Tome 24 (2007) no. 1, pp.  211-218. http://gdmltest.u-ga.fr/item/1197908781/