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Evolutionary Model of the Personal Income Distribution

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  • Kaldasch, Joachim

Abstract

The aim of this work is to establish the personal income distribution from the elementary constituents of a free market; products of a representative good and agents forming the economic network. The economy is treated as a self-organized system. Based on the idea that the dynamics of an economy is governed by slow modes, the model suggests that for short time intervals a fixed ratio of total labour income (capital income) to net income exists (Cobb-Douglas relation). Explicitly derived is Gibrat’s law from an evolutionary market dynamics of short term fluctuations. The total private income distribution is shown to consist of four main parts. From capital income of private firms the income distribution contains a lognormal distribution for small and a Pareto tail for large incomes. Labour income contributes an exponential distribution. Also included is the income from a social insurance system, approximated by a Gaussian peak. The evolutionary model is able to reproduce the stylized facts of the income distribution, shown by a comparison with empirical data of a high resolution income distribution. The theory suggests that in a free market competition between products is ultimately the origin of the uneven income distribution.

Suggested Citation

  • Kaldasch, Joachim, 2012. "Evolutionary Model of the Personal Income Distribution," MPRA Paper 37865, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:37865
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    1. Banerjee, Anand & Yakovenko, Victor M. & Di Matteo, T., 2006. "A study of the personal income distribution in Australia," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 54-59.
    2. Dongfeng Fu & Fabio Pammolli & S. V. Buldyrev & Massimo Riccaboni & Kaushik Matia & Kazuko Yamasaki & H. E. Stanley, 2005. "The Growth of Business Firms: Theoretical Framework and Empirical Evidence," Papers physics/0512005, arXiv.org.
    3. Kaldasch, Joachim, 2011. "Evolutionary model of an anonymous consumer durable market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(14), pages 2692-2715.
    4. Barigozzi, Matteo & Alessi, Lucia & Capasso, Marco & Fagiolo, Giorgio, 2012. "The distribution of household consumption-expenditure budget shares," Structural Change and Economic Dynamics, Elsevier, vol. 23(1), pages 69-91.
    5. Growiec, Jakub & Pammolli, Fabio & Riccaboni, Massimo & Stanley, H. Eugene, 2008. "On the size distribution of business firms," Economics Letters, Elsevier, vol. 98(2), pages 207-212, February.
    6. S. V. Buldyrev & F. Pammolli & M. Riccaboni & K. Yamasaki & D.-F. Fu & K. Matia & H. E. Stanley, 2007. "A generalized preferential attachment model for business firms growth rates," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(2), pages 131-138, May.
    7. Chakrabarti, Anindya S. & Chakrabarti, Bikas K., 2009. "Microeconomics of the ideal gas like market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4151-4158.
    8. Kaldasch, Joachim, 2011. "Evolutionary Model of Non-Durable Markets," MPRA Paper 33743, University Library of Munich, Germany.
    9. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    10. Kaldasch, Joachim, 2012. "Evolutionary model of the growth and size of firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(14), pages 3751-3769.
    11. A. Meltzer & Peter Ordeshook & Thomas Romer, 1983. "Introduction," Public Choice, Springer, vol. 41(1), pages 1-5, January.
    12. Fabio Pammolli & Dongfeng Fu & S. V. Buldyrev & Massimo Riccaboni & Kaushik Matia & Kazuko Yamasaki & H. E. Stanley, 2006. "A Generalized Preferential Attachment Model for Business Firms Growth Rates: I. Empirical Evidence," Papers physics/0609011, arXiv.org.
    13. Kaldasch, Joachim, 2015. "Dynamic Model of Markets of Homogenous Non-Durables," EconStor Open Access Articles, ZBW - German National Library of Economics, pages 1-12.
    14. Peter Richmond & Sorin Solomon, 2000. "Power Laws are Boltzmann Laws in Disguise," Papers cond-mat/0010222, arXiv.org.
    15. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
    16. A. P. Thirlwall, 1983. "Introduction," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 5(3), pages 341-344, March.
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    More about this item

    Keywords

    income distribution; labour income; capital income; Gibrat's law; power law distribution; exponential distribution; Laplace distribution; evolutionary economics; self-organization; competition; price dispersion;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D33 - Microeconomics - - Distribution - - - Factor Income Distribution
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • E11 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Marxian; Sraffian; Kaleckian

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