PARETO'S LAW FOR INCOME OF INDIVIDUALS AND DEBT OF BANKRUPT COMPANIES

Author:

AOYAMA HIDEAKI1,SOUMA WATARU1,NAGAHARA YUICHI2,OKAZAKI MITSUHIRO P.3,TAKAYASU HIDEKI4,TAKAYASU MISAKO5

Affiliation:

1. Faculty of Integrated Human Studies, Kyoto University, Kyoto 606-8501, Japan

2. School of Political Science and Economics, Meiji University, 1-1 Kanda-Surugadai, Chiyoda-ku, Tokyo 101-8301, Japan

3. Factory Automation System Department, Takagi-Shokai Co., 2-2-7 Kitasennzoku, Ohta-ku, Tokyo 145-0062, Japan

4. Sony Computer Science Laboratories, 3-14-13 Higashi-Gotanda, Shinagawa-ku, Tokyo 141-0022, Japan

5. Department of Complex Systems, Future University – Hakodate, 116-2 Kameda-Nakano-cho, Hakodate, Hokkaido 041-8655, Japan

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

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