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Wealth, income, earnings and the statistical mechanics of flow systems

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  • Willis, Geoff

Abstract

This paper looks at empirical data from economics regarding wealth, earnings and income, alongside a flow model for an economy based on the general Lotka-Volterra models of Levy & Solomon. The data and modelling suggest that a simple economic system might provide a tractable model for giving an exact statistical mechanical solution for an 'out of equilibrium' flow model. This might also include an exact mathematical definition of a 'dissipative structure' derived from maximum entropy considerations. This paper is primarily a qualitative discussion of how such a mathematical proof might be achieved.

Suggested Citation

  • Willis, Geoff, 2011. "Wealth, income, earnings and the statistical mechanics of flow systems," MPRA Paper 31139, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:31139
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    File URL: https://mpra.ub.uni-muenchen.de/31139/1/MPRA_paper_31139.pdf
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    References listed on IDEAS

    as
    1. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.
    2. 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.
    3. Arnab Chatterjee & Bikas K. Chakrabarti, 2007. "Kinetic Exchange Models for Income and Wealth Distributions," Papers 0709.1543, arXiv.org, revised Nov 2007.
    4. Bouchaud, Jean-Philippe & M├ęzard, Marc, 2000. "Wealth condensation in a simple model of economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(3), pages 536-545.
    5. Arnab Chatterjee & Sitabhra Sinha & Bikas K. Chakrabarti, 2007. "Economic Inequality: Is it Natural?," Papers physics/0703201, arXiv.org, revised Mar 2007.
    6. A. Chatterjee & B. K. Chakrabarti, 2007. "Kinetic exchange models for income and wealth distributions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(2), pages 135-149, November.
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    Cited by:

    1. Venkatasubramanian, Venkat & Luo, Yu & Sethuraman, Jay, 2015. "How much inequality in income is fair? A microeconomic game theoretic perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 120-138.

    More about this item

    Keywords

    wealth; earnings; income; entropy; lotka; volterra; dissipative;

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

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