Summary
We report empirical studies on the personal income distribution, and clarify that the distribution pattern of the lognormal with power law tail is the universal structure. We analyze the temporal change of Pareto index and Gibrat index to investigate the change of the inequality of the income distribution. In addition some mathematical models which are proposed to explain the power law distribution are reviewed.
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References
Aoyama H, et al (2000) Pareto’s law for income of individuals and debt of bankrupt companies. Fractals 8:293–300.
Badger WW (1980) An entropy-utility model for the size distribution of income. In:West. BJ (Ed) Mathematical models as a tool for the social science. Gordon and Breach, New York, pp 87–120.
Biham O, et al (1998) Generic emergence of power law distributions and Levy stable intermittent fluctuations in discrete logistic systems. Phys Rev E58: 1352–1358.
Bouchaud JP, Mézard M (2000) Wealth condensation in a simple model of economy. Physica A282:536–545.
Drăgulescu A, Yakovenko VM(2000) Statistical mechanics of money. Eur Phys J B17:723–729.
Gibrat R (1931) Les inégalitś économiques. Paris, Sirey.
Kesten H (1973) Random difference equations and renewal theory for products of random matrices. Acta Math 131:207–248.
Levy M, Solomon S (1996) Power laws are logarithmic Boltzman laws. Int J Mod Phys C7:595–601.
Montroll EW, Shlesinger MF (1983) Maximum entropy formalism, fractals, scaling phenomena, and 1/f noise: a tale of tails. J Stat Phys 32:209–230.
Okuyama K, et al (1999) Zipf’s law in income distribution of companies. Physica A269:125–131.
Pareto V (1897) Cours d’èconomique politique. Macmillan, London.
Sornette D (1998) Multiplicative processes and power laws. Phys Rev E57: 4811–4813.
Souma W (2000) Universal structure of the personal income distribution. condmat/0011373.
Solomon S, Levy M (1996) Spontaneous scaling emergence in generic stochastic systems. Int J Mod Phys C7:745–751.
Sornette D, Cont R(1997) Convergent multiplicative processes repelled from zero: power laws and truncated power laws. J Phys I7:431–444.
Takayasu H, et al(1997) Stable infinite variance fluctuations in randomly amplified Langevin systems. Phys Rev Lett 79:966–969.
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© 2002 Springer Japan
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Souma, W. (2002). Physics of Personal Income. In: Takayasu, H. (eds) Empirical Science of Financial Fluctuations. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66993-7_38
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DOI: https://doi.org/10.1007/978-4-431-66993-7_38
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-66995-1
Online ISBN: 978-4-431-66993-7
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