Applications of statistical mechanics to economics: Entropic origin of the probability distributions of money, income, and energy consumption
This Chapter is written for the Festschrift celebrating the 70th birthday of the distinguished economist Duncan Foley from the New School for Social Research in New York. This Chapter reviews applications of statistical physics methods, such as the principle of entropy maximization, to the probability distributions of money, income, and global energy consumption per capita. The exponential probability distribution of wages, predicted by the statistical equilibrium theory of a labor market developed by Foley in 1996, is supported by empirical data on income distribution in the USA for the majority (about 97%) of population. In addition, the upper tail of income distribution (about 3% of population) follows a power law and expands dramatically during financial bubbles, which results in a significant increase of the overall income inequality. A mathematical analysis of the empirical data clearly demonstrates the two-class structure of a society, as pointed out Karl Marx and recently highlighted by the Occupy Movement. Empirical data for the energy consumption per capita around the world are close to an exponential distribution, which can be also explained by the entropy maximization principle.
References listed on IDEAS
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- Fujiwara, Yoshi & Souma, Wataru & Aoyama, Hideaki & Kaizoji, Taisei & Aoki, Masanao, 2003.
"Growth and fluctuations of personal income,"
Physica A: Statistical Mechanics and its Applications,
Elsevier, vol. 321(3), pages 598-604.
- Yoshi Fujiwara & Wataru Souma & Hideaki Aoyama & Taisei Kaizoji & Masanao Aoki, 2002. "Growth and Fluctuations of Personal Income," Papers cond-mat/0208398, arXiv.org.
- Ning Xi & Ning Ding & Yougui Wang, 2005. "How Required Reserve Ratio Affects Distribution and Velocity of Money," Papers physics/0507160, arXiv.org.
- Miguel Molico, 2006. "The Distribution Of Money And Prices In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 701-722, 08.
- Wright, Ian, 2009. "Implicit Microfoundations for Macroeconomics," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 3, pages 1-27.
- Wright, Ian, 2008. "Implicit Microfoundations for Macroeconomics," Economics Discussion Papers 2008-41, Kiel Institute for the World Economy (IfW).
- Wright, Ian, 2005. "The social architecture of capitalism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 589-620.
- Ian Wright, 2004. "The Social Architecture of Capitalism," Papers cond-mat/0401053, arXiv.org, revised Mar 2011.
- 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.
- 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.
- J. Doyne Farmer & Martin Shubik & Eric Smith, 2005. "Economics: the next physical science?," Cowles Foundation Discussion Papers 1520, Cowles Foundation for Research in Economics, Yale University.
- Armon Rezai & Duncan Foley & Lance Taylor, 2012. "Global warming and economic externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(2), pages 329-351, February.
- Aoki,Masanao & Yoshikawa,Hiroshi, 2007. "Reconstructing Macroeconomics," Cambridge Books, Cambridge University Press, number 9780521831062. Full references (including those not matched with items on IDEAS)
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