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Nonequilibrium thermodynamics of wealth condensation

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  • Braun, Dieter

Abstract

We analyze wealth condensation for a wide class of stochastic economy models on the basis of the economic analog of thermodynamic potentials, termed transfer potentials. The economy model is based on three common transfers modes of wealth: random transfer, profit proportional to wealth and motivation of poor agents to work harder. The economies never reach steady state. Wealth condensation is the result of stochastic tunneling through a metastable transfer potential. In accordance with reality, both wealth and income distribution transiently show Pareto tails for high-income subjects. For metastable transfer potentials, exponential wealth condensation is a robust feature. For example with 10% annual profit 1% of the population owns 50% of the wealth after 50 years. The time to reach such a strong wealth condensation is a hyperbolic function of the annual profit rate.

Suggested Citation

  • Braun, Dieter, 2006. "Nonequilibrium thermodynamics of wealth condensation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 714-722.
    • Handle: RePEc:eee:phsmap:v:369:y:2006:i:2:p:714-722
    DOI: 10.1016/j.physa.2006.01.085
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    References listed on IDEAS

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    1. Drăgulescu, Adrian & Yakovenko, Victor M., 2001. "Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 213-221.
    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. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    4. Iglesias, J.R. & Gonçalves, S. & Pianegonda, S. & Vega, J.L. & Abramson, G., 2003. "Wealth redistribution in our small world," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 12-17.
    5. Fischer, Robert & Braun, Dieter, 2003. "Transfer potentials shape and equilibrate monetary systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 605-618.
    6. A. Drăgulescu & V.M. Yakovenko, 2001. "Evidence for the exponential distribution of income in the USA," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 20(4), pages 585-589, April.
    7. Nicola Scafetta & Sergio Picozzi & Bruce J. West, 2004. "An out-of-equilibrium model of the distributions of wealth," Papers cond-mat/0403045, arXiv.org.
    8. Fischer, Robert & Braun, Dieter, 2003. "Nontrivial bookkeeping: a mechanical perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 266-271.
    9. Bouchaud, Jean-Philippe & Mézard, Marc, 2000. "Wealth condensation in a simple model of economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(3), pages 536-545.
    10. S. Ispolatov & P.L. Krapivsky & S. Redner, 1998. "Wealth distributions in asset exchange models," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 2(2), pages 267-276, March.
    11. Nicola Scafetta & Sergio Picozzi & Bruce West, 2004. "An out-of-equilibrium model of the distributions of wealth," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 353-364.
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    Cited by:

    1. Julian Wells, Julian, 2007. "The rate of profit as a random variable," MPRA Paper 98235, University Library of Munich, Germany.
    2. Stein, Julian Alexander Cornelius & Braun, Dieter, 2019. "Stability of a time-homogeneous system of money and antimoney in an agent-based random economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 232-249.
    3. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
    4. Cristian Valeriu STANCIU & Cristi SPULBAR & Sabin RIZESCU, 2012. "Econophysics - related Remarks in Considering the Necessity of a Distribution Adjustment in the Eurozone Real Economy and Re-modeling its Financial System and Markets. Thermodynamics and Statistical P," Journal of Knowledge Management, Economics and Information Technology, ScientificPapers.org, vol. 2(1), pages 1-9, February.

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