Pareto's law for income of individuals and debt of bankrupt companies

被引:88
作者
Aoyama, H [1 ]
Souma, W
Nagahara, Y
Okazaki, MP
Takayasu, H
Takayasu, M
机构
[1] Kyoto Univ, Fac Integrated Human Studies, Kyoto 6068501, Japan
[2] Meiji Univ, Sch Polit Sci & Econ, Chiyoda Ku, Tokyo 1018301, Japan
[3] Takagi Shokai Co, Fac Automat Syst Dept, Ohta Ku, Tokyo 1450062, Japan
[4] Sony Comp Sci Labs, Shinagawa Ku, Tokyo 1410022, Japan
[5] Future Univ Hakodate, Dept Complex Syst, Hakodate, Hokkaido 0418655, Japan
关键词
D O I
10.1142/S0218348X0000038X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We analyze the distribution of income and income tax of individuals in Japan for the fiscal year 1998. From the rank-size plots, we find that the accumulated probability distribution of both data obey a power law with a Pareto exponent very close to -2. We also present an analysis of the distribution of the debts owed by bankrupt companies from 1997 to March 2000, which is consistent with a power law behavior with a Pareto exponent equal to -1. This power law is the same as that of the income distribution of companies. Possible implications of these findings for model building are discussed.
引用
收藏
页码:293 / 300
页数:8
相关论文
共 18 条
[1]   Power law scaling for a system of interacting units with complex internal structure [J].
Amaral, LAN ;
Buldyrev, SV ;
Havlin, S ;
Salinger, MA ;
Stanley, HE .
PHYSICAL REVIEW LETTERS, 1998, 80 (07) :1385-1388
[2]   Wealth condensation in a simple model of economy [J].
Bouchaud, JP ;
Mézard, M .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2000, 282 (3-4) :536-545
[3]  
GIBRAT R, 1932, INEGALITS EC
[4]  
GINI C, 1922, BIBLIO ECOOMISTA, V20
[5]   Wealth distributions in asset exchange models [J].
Ispolatov, S ;
Krapivsky, PL ;
Redner, S .
EUROPEAN PHYSICAL JOURNAL B, 1998, 2 (02) :267-276
[6]   Power laws are logarithmic Boltzmann laws [J].
Levy, M ;
Solomon, S .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS, 1996, 7 (04) :595-601
[7]   New evidence for the power-law distribution of wealth [J].
Levy, M ;
Solomon, S .
PHYSICA A, 1997, 242 (1-2) :90-94
[8]  
Mandelbrot BB., 1977, FRACTAL GEOMETRY NAT
[9]   MAXIMUM-ENTROPY FORMALISM, FRACTALS, SCALING PHENOMENA, AND 1/F NOISE - A TALE OF TAILS [J].
MONTROLL, EW ;
SHLESINGER, MF .
JOURNAL OF STATISTICAL PHYSICS, 1983, 32 (02) :209-230
[10]   Zipf's law in income distribution of companies [J].
Okuyama, K ;
Takayasu, M ;
Takayasu, H .
PHYSICA A, 1999, 269 (01) :125-131