Zipf's law in income distribution of companies

被引:165
作者
Okuyama, K
Takayasu, M
Takayasu, H
机构
[1] Sony CSL, Shinagawa Ku, Tokyo 1410022, Japan
[2] Keio Univ, Fac Sci & Technol, Kawasaki, Kanagawa 2110985, Japan
[3] Tohoku Univ, Grad Sch Informat Sci, Sendai, Miyagi 9808579, Japan
来源
PHYSICA A | 1999年 / 269卷 / 01期
关键词
Zipf's law; income distribution; growth rate of assets;
D O I
10.1016/S0378-4371(99)00086-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Distribution functions of annual income of companies are analyzed based on two company databases. A clear power law distribution consistent with the Zipf's law can be confirmed for Japanese companies over more than three decades in income scale. Similar distributions can be confirmed in some other countries. It is confirmed that such power laws hold in most of job categories with slightly modified exponents. An annual income of a company is about two orders of magnitude smaller than its total assets, and the growth rate distribution of income is nearly independent of the income size in contrast to the case of growth rate of assets. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:125 / 131
页数:7
相关论文
共 11 条
  • [1] AMRAL LAN, 1997, J PHYS I, V7, P621
  • [2] Gibrat R., 1931, INEGALITES ECONOMIQU
  • [3] GINI C, 1922, BIBLIO ECONOMISTA, V20, P77
  • [4] THE PARETO-LEVY LAW AND THE DISTRIBUTION OF INCOME
    MANDELBROT, B
    [J]. INTERNATIONAL ECONOMIC REVIEW, 1960, 1 (02) : 79 - 106
  • [5] Mandelbrot B.B., 1983, The fractal geometry of nature
  • [6] INCOME-DISTRIBUTION, PARETO LAWS AND REGULAR VARIATION
    MERKIES, AHQM
    STEYN, IJ
    [J]. ECONOMICS LETTERS, 1993, 43 (02) : 177 - 182
  • [7] MAXIMUM-ENTROPY FORMALISM, FRACTALS, SCALING PHENOMENA, AND 1/F NOISE - A TALE OF TAILS
    MONTROLL, EW
    SHLESINGER, MF
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1983, 32 (02) : 209 - 230
  • [8] PARETO V, COURS EC POLITIQUE, P1896
  • [9] Scaling behaviour in the growth of companies
    Stanley, MHR
    Amaral, LAN
    Buldyrev, SV
    Havlin, S
    Leschhorn, H
    Maass, P
    Salinger, MA
    Stanley, HE
    [J]. NATURE, 1996, 379 (6568) : 804 - 806
  • [10] Country dependence on company size distributions and a numerical model based on competition and cooperation
    Takayasu, H
    Okuyama, K
    [J]. FRACTALS-AN INTERDISCIPLINARY JOURNAL ON THE COMPLEX GEOMETRY OF NATURE, 1998, 6 (01): : 67 - 79