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Evidence for the Independence of Waged and Unwaged Income, Evidence for Boltzmann Distributions in Waged Income, and the Outlines of a Coherent Theory of Income Distribution

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Author Info
Geoff Willis (RiskAMT)
Juergen Mimkes (University of Paderborn)

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Abstract

Two sets of high quality income data are analysed in detail, one set from the UK, one from the USA. It is firstly demonstrated that both a log-normal distribution and a Boltzmann distribution can give very accurate fits to both these data sets. The absence of a power tail in the US data set is then discussed. Taken in conjunction with detailed evidence from the UK and Japanese income data, a strong case is made for the mathematically separate treatment of waged and unwaged income. The authors present a case for preferring the use of the Boltzmann distribution over the log-normal function, this leads to a brief review of the work of a number of researchers, which shows that a coherent theory for the distribution of all income can be postulated.

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File URL: http://129.3.20.41/eps/mic/papers/0408/0408001.pdf
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Publisher Info
Paper provided by EconWPA in its series Microeconomics with number 0408001.

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Length: 28 pages
Date of creation: 18 Aug 2004
Date of revision:
Handle: RePEc:wpa:wuwpmi:0408001

Note: Type of Document - pdf; pages: 28
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Web page: http://129.3.20.41

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Related research
Keywords: Income distribution; log-normal; Boltzmann;

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Find related papers by JEL classification:
D1 - Microeconomics - - Household Behavior
D2 - Microeconomics - - Production and Organizations
D3 - Microeconomics - - Distribution
D4 - Microeconomics - - Market Structure and Pricing

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Jean-Philippe Bouchaud & Marc Mezard, 2000. "Wealth condensation in a simple model of economy," Science & Finance (CFM) working paper archive 500026, Science & Finance, Capital Fund Management. [Downloadable!]
  2. Wataru Souma, 2000. "Universal Structure of the Personal Income Distribution," Quantitative Finance Papers cond-mat/0011373, arXiv.org. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Arnab Chatterjee & Bikas K Chakrabarti, 2005. "Ideal-Gas Like Markets: Effect of Savings," Quantitative Finance Papers physics/0507136, arXiv.org, revised Jul 2005. [Downloadable!]
  2. Fabio Clementi & Mauro Gallegati, 2005. "Pareto's Law of Income Distribution: Evidence for Grermany, the United Kingdom, and the United States," Microeconomics 0505006, EconWPA. [Downloadable!]
    Other versions:
  3. Geoff Willis, 2004. "Laser Welfare: First Steps in Econodynamic Engineering," Microeconomics 0408003, EconWPA. [Downloadable!]
Statistics
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