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Two-class Structure of Income Distribution in the USA: Exponential Bulk and Power-law Tail

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Econophysics of Wealth Distributions

Part of the book series: New Economic Windows ((NEW))

Abstract

Personal income distribution in the USA has a well-defined two-class structure. The majority of population (97–99%) belongs to the lower class characterized by the exponential Boltzmann-Gibbs (“thermal”) distribution, whereas the upper class (1–3% of population) has a Pareto power-law (“superthermal”) distribution. By analyzing income data for 1983–2001, we show that the “thermal” part is stationary in time, save for a gradual increase of the effective temperature, whereas the “superthermal” tail swells and shrinks following the stock market. We discuss the concept of equilibrium inequality in a society, based on the principle of maximal entropy, and quantitatively show that it applies to the majority of population.

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References

  1. Ball P (2004) Critical Mass, Farrar, Straus, and Giroux, New York

    Google Scholar 

  2. Pareto V (1897) Le Cours d’Economie Politique, Macmillan, London

    Google Scholar 

  3. Champernowne D (1973) The Distribution of Income between Persons, Cambridge University Press

    Google Scholar 

  4. Fujiwara Y, Souma W, Aoyama H, Kaizoji T, Aoki M (2003) Physica A 321:598; Aoyama H, Souma W, Fujiwara Y (2003) Physica A 324:352

    Article  Google Scholar 

  5. Souma W (2002) cond-mat/0202388

    Google Scholar 

  6. Clementi F, Gallegati M (2004) cond-mat/0408067

    Google Scholar 

  7. Di Matteo T, Aste T, Hyde ST (2003) cond-mat/0310544

    Google Scholar 

  8. Drăgulescu AA, Yakovenko VM (2000) Eur. Phys. J. B 17:723

    Article  Google Scholar 

  9. Drăgulescu AA, Yakovenko VM (2001) Eur. Phys. J. B 20:585

    Article  Google Scholar 

  10. Drăgulescu AA, Yakovenko VM (2001) Physica A 299:213

    Article  Google Scholar 

  11. Drăgulescu AA, Yakovenko VM (2003) in Modeling of Complex Systems: Seventh Granada Lectures, Ed. Garrido PL, Marro J, AIP Conference Proceedings, New York, 661:180

    Google Scholar 

  12. Silva AC, Yakovenko VM (2005) Europhys. Lett. 69:304

    Article  Google Scholar 

  13. Kakwani N (1980) Income Inequality and Poverty, Oxford University Press, Oxford

    Google Scholar 

  14. Champernowne DG, Cowell FA (1998) Economic Inequality and Income Distribution, Cambridge University Press, Cambridge

    Google Scholar 

  15. Ed. Atkinson AB, Bourguignon F (2000) Handbook of Income Distribution, Elsevier, Amsterdam

    Google Scholar 

  16. Strudler M, Petska T (2003) An Analysis of the Distribution of Individual Income and Taxes, 1979–2001, IRS, Washington DC, http://www.irs.gov/pub/irs-soi/03strudl.pdf.

    Google Scholar 

  17. Gibrat R (1931) Les Inégalités Economiques, Sirely, Paris

    Google Scholar 

  18. Nirei M, Souma W (2004) working paper, http://www.santafe.edu/~makoto/papers/income.pdf

    Google Scholar 

  19. Mimkes J, Fruend Th, Willis G (2002) cond-mat/0204234; Willis G, Mimkes J (2004) cond-mat/0406694

    Google Scholar 

  20. Scafetta N, Picozzi S, West BJ (2004) Quantitative Finance 4:353

    Article  Google Scholar 

  21. Wright I (2005) Physica A 346:589

    Article  Google Scholar 

  22. Individual Income Tax Returns, Pub. 1304, IRS, Washington DC, 1983–2001

    Google Scholar 

  23. Hasegawa A, Mima K, Duong-van M (1985) Phys. Rev. Lett. 54:2608; Desai MI et al. (2003) Astrophysical Journal 588:1149; Collier MR (2004) Advances in Space Research 33:2108

    Article  Google Scholar 

  24. How Much is That? http://eh.net/hmit/

    Google Scholar 

  25. Lifshitz EM, Pitaevskii LP (1981) Physical Kinetics, Pergamon Press, Oxford

    Google Scholar 

  26. Ferrero JC (2004) Physica A 341:575

    Article  Google Scholar 

  27. Chatterjee A, Chakrabarti BK, Manna SS (2003) Physica Scripta T106:36

    Article  Google Scholar 

  28. Bouchaud J-P, Mézard M (2000) Physica A 282: 536 (2000); Solomon S, Richmond P (2001) Physica A 299:188; Abul-Magd AY (2002) Phys. Rev. E 66:057104

    Article  Google Scholar 

  29. Drăgulescu AA (2002) Ph. D. Thesis, Sec. II H, cond-mat/0307341.

    Google Scholar 

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Yakovenko, V.M., Silva, A.C. (2005). Two-class Structure of Income Distribution in the USA: Exponential Bulk and Power-law Tail. In: Chatterjee, A., Yarlagadda, S., Chakrabarti, B.K. (eds) Econophysics of Wealth Distributions. New Economic Windows. Springer, Milano. https://doi.org/10.1007/88-470-0389-X_2

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