Munich Personal RePEc Archive
Login | Create Account

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

Willis, Geoff (2011): Wealth, income, earnings and the statistical mechanics of flow systems. Unpublished.

[img]
Preview
PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
809Kb

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.

Item Type:MPRA Paper
Language:English
Keywords:wealth; earnings; income; entropy; lotka; volterra; dissipative
Subjects:D - Microeconomics > D3 - Distribution > D31 - Personal Income, Wealth, and Their Distributions
D - Microeconomics > D5 - General Equilibrium and Disequilibrium
ID Code:31139
Deposited By:Geoff Willis
Deposited On:26. May 2011 21:00
Last Modified:26. May 2011 21:00
References:

Ackland GJ, Gallagher ID, 2004. Stabilization of large generalized Lotka-Volterra foodwebs by evolutionary feedback, Phys. Rev. Lett., 93, doi:10.1103/PhysRevLett.93.158701.

Baek SK, Berhardsson S, Minnhagen P, 2011. Zipf’s law unzipped. New Journal of Physics 13 043004.

Bouchaud JP, Mezard M, 2000. Wealth Condensation in a Simple Model of Economy. Physica A282:536-545, cond-mat/0002374.

Chatterjee A, Sinha S, Chakrabarti B, 2007. Economic inequality: Is it natural? Current Science 92 (10), 1383.

Chatterjee A, Chakrabarti BK, 2007. Kinetic exchange models for income and wealth distributions. The European Physical Journal B 60, 135–149.

Clementi F, Gallegati M, 2005. Income Inequality Dynamics: Evidence from a Pool of Major Industrialized Countries. Talk at the International Workshop on the Econophysics of Wealth Distributions, Kolkata. http://www.saha.ac.in/cmp/econophysics/abstracts.html

Dewar RC, 2005. Maximum entropy production and nonequilibrium statistical mechanics. In Non-Equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond, edited by A. Kleidon and R. D. Lorenz, Springer Verlag, Heidelberg, Germany.

Dragulescu A, Yakovenko VM, 2001. Evidence for the exponential distribution of income in the USA. Eur. Phys. J. B 20:585–89

Ferrero JC, 2010. The individual income distribution in Argentina in the period 2000-2009, A unique source of non stationary data. Arxiv preprint; http://arxiv.org/ftp/arxiv/papers/1006/1006.2057.pdf

Gabaix X, 2009. Power Laws in Economics and Finance. Annual Reviews of Economics, 2009, 1, 255-93.

Gollin D, 2002. Getting Income Shares Right. Journal of Political Economy 110(2):458-474.

Kleidon A, Lorenz RD, (Eds), 2005. Non-equilibrium Thermodynamics and the Production of Entropy: Life, Earth, and Beyond. (Understanding Complex Systems) Springer, ISBN-10: 3540224955.

Levy M, Solomon S, 1996. Power Laws are Logarithmic Boltzmann Laws. International Journal of Modern Physics C, 7 (4), 595—600.

Lotka AJ, 1925. Elements of physical biology. Baltimore: Williams & Wilkins Co

Mitzenmacher M, 2004. A Brief History of Generative Models for Power Law and Lognormal Distributions. Internet Mathematics, 1(2):226–251.

Newman MEJ, 2005. Power laws, Pareto distributions and Zipf’s law. Contemporary Physics, 46:323–351.

Nirei M, Souma W, 2007. A two factor model of income distribution dynamics. Rev. Income Wealth 53:440–59

Office for National Statistics, 2003. New Earnings Survey. Stationary Office Books, http://www.statistics.gov.uk/statbase/Product.asp?vlnk=5749&More=Y

Ozawa H, Ohmura A, Lorenz RD, Pujol T, 2003. The second law of thermodynamics and the global climate system – A review of the maximum entropy production principle, Rev Geophys 41: 1018.

Pareto V, 1896. Cours d'economie politique. Reprinted as a volume of Oeuvres Completes (Droz. Geneva, 1896-1965) Reed WJ & Hughes BD, 2002. From gene families and genera to incomes and internet file sizes: Why power laws are so common in nature. Phys. Rev. E 66, 067103.

Simkin MV, Roychowdhury VP, 2006. Re-inventing Willis. preprint, http://arxiv.org/abs/physics/0601192

Sinha S, 2005. The Rich Are Different!: Pareto Law from asymmetric interactions in asset exchange models. In: Econophysics of Wealth Distributions, 177-184 eds. A. Chatterjee, B. K. Chakrabarti and S. Yarlagadda, Springer Verlag, New York 2005.

Slanina F, 2004. Inelastically scattering particles and wealth distribution in an open economy, Phys. Rev. E 69, n 4, 46102-1-7.

Solomon S, 2000. Generalized Lotka Volterra (GLV) models [of stock markets]. In G. Ballot and Weisbuch G., editors, Applications of Simulation to Social Sciences, pages 301–322. Hermes Science, Paris. http://arxiv.org/PS_cache/cond-mat/pdf/9901/9901250v1.pdf

Souma W, 2001. Universal structure of the personal income distribution. Fractals, 9, 463–470.

Pakko M, 2004. Labor’s Share, St Louis Fed, National Economic Trends, Aug 2004. http://research.stlouisfed.org/publications/net/20040801/cover.pdf

Volterra V, 1926. Variazioni e fluttuazioni del numero d'individui in specie animali conviventi. Mem. R. Accad. Naz. dei Lincei. Ser. VI, vol. 2.

Willis G, Mimkes J, 2005. Evidence for the Independence of Waged and Unwaged Income. Presented at the ‘Econophysics of Wealth Distributions’ International Workshop, Kolkata, India. March 2005. http://xxx.arxiv.cornell.edu/abs/cond-mat/0406694

Willis G, 2011. The Bowley Ratio. http://arxiv.org/abs/1105.2123

Willis G, 2011. Why Money Trickles Up. http://econodynamics.org

Willis G, 2011. Why Money Trickles Up – Wealth and Income Distributions. http://arxiv.org/abs/1105.2122

Wright I, 2005. The social architecture of capitalism. Physica A 346, 589–620.

Wright I, 2009. Implicit microfoundations for macroeconomics. Economics (e-journal) 3, 2009-19,

Young AT, 2010. One of the things we know that ain't so: is US labor's share relatively stable? Journal of Macroeconomics (forthcoming). Vol 32, 1, March 2010, 90-102.

All papers reproduced by permission. Reproduction and distribution subject to the approval of the copyright owners.
Repository Staff Only: item control page

LMU-Logo
MPRA is a RePEc service hosted by
the Munich University Library in Germany.