Firm dynamics in a closed, conserved economy: A model of size distribution of employment and related statistics
AbstractWe address the issue of the distribution of firm size. To this end we propose a model of firms in a closed, conserved economy populated with zero-intelligence agents who continuously move from one firm to another. We then analyze the size distribution and related statistics obtained from the model. Our ultimate goal is to reproduce the well known statistical features obtained from the panel study of the firms i.e., the power law in size (in terms of income and/or employment), the Laplace distribution in the growth rates and the slowly declining standard deviation of the growth rates conditional on the firm size. First, we show that the model generalizes the usual kinetic exchange models with binary interaction to interactions between an arbitrary number of agents. When the number of interacting agents is in the order of the system itself, it is possible to decouple the model. We provide some exact results on the distributions. Our model easily reproduces the power law. The fluctuations in the growth rate falls with increasing size following a power law (with an exponent 1 whereas the data suggests that the exponent is around 1/6). However, the distribution of the difference of the firm-size in this model has Laplace distribution whereas the real data suggests that the difference of the log sizes has the same distribution.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1112.2168.
Date of creation: Dec 2011
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-12-19 (All new papers)
- NEP-BEC-2011-12-19 (Business Economics)
- NEP-ENT-2011-12-19 (Entrepreneurship)
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- Jovanovic, Boyan, 1979.
"Job Matching and the Theory of Turnover,"
Journal of Political Economy,
University of Chicago Press, vol. 87(5), pages 972-90, October.
- Ishikawa, Atushi, 2005. "Pareto law and Pareto index in the income distribution of Japanese companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 597-608.
- Arnab Chatterjee & Bikas K. Chakrabarti, 2007. "Kinetic Exchange Models for Income and Wealth Distributions," Papers 0709.1543, arXiv.org, revised Nov 2007.
- Marco Patriarca & Anirban Chakraborti & Kimmo Kaski & Guido Germano, 2005. "Kinetic theory models for the distribution of wealth: power law from overlap of exponentials," Papers physics/0504153, arXiv.org, revised May 2005.
- Alex Coad, 2006.
"A Closer Look at Serial Growth Rate Correlation,"
LEM Papers Series
2006/29, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Stanley, Michael H. R. & Buldyrev, Sergey V. & Havlin, Shlomo & Mantegna, Rosario N. & Salinger, Michael A. & Eugene Stanley, H., 1995. "Zipf plots and the size distribution of firms," Economics Letters, Elsevier, vol. 49(4), pages 453-457, October.
- Dunne, T. & Roberts, M.J. & Samuelson, L., 1988.
"The Growth And Failure Of U.S. Manufacturing Plants,"
1-87-5, Pennsylvania State - Department of Economics.
- Dunne, Timothy & Roberts, Mark J & Samuelson, Larry, 1989. "The Growth and Failure of U.S. Manufacturing Plants," The Quarterly Journal of Economics, MIT Press, vol. 104(4), pages 671-98, November.
- Steve J. Davis & John Haltiwanger, 1991.
"Gross job creation, gross job destruction and employment reallocation,"
Working Paper Series, Macroeconomic Issues
91-5, Federal Reserve Bank of Chicago.
- Davis, Steven J & Haltiwanger, John C, 1992. "Gross Job Creation, Gross Job Destruction, and Employment Reallocation," The Quarterly Journal of Economics, MIT Press, vol. 107(3), pages 819-63, August.
- Steve J. Davis & John Haltiwanger, 1991. "Gross Job Creation, Gross Job Destruction and Employment Reallocation," NBER Working Papers 3728, National Bureau of Economic Research, Inc.
- Davis, S.J. & Haltiwanger, J., 1989. "Gross Job Creation, Gross Job Destruction And Employment Reallocation," Working Papers e-89-33, Hoover Institution, Stanford University.
- Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
- Singh, Ajit & Whittington, Geoffrey, 1975. "The Size and Growth of Firms," Review of Economic Studies, Wiley Blackwell, vol. 42(1), pages 15-26, January.
- Kordecki, Wojciech, 1997. "Reliability bounds for multistage structures with independent components," Statistics & Probability Letters, Elsevier, vol. 34(1), pages 43-51, May.
- 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. V. Buldyrev & L. A. N. Amaral & S. Havlin & H. Leschhorn & P. Maass & M. A. Salinger & H. E. Stanley & M. H. R. Stanley, 1997. "Scaling behavior in economics: II. Modeling of company growth," Papers cond-mat/9702085, arXiv.org.
- Repetowicz, Przemysław & Hutzler, Stefan & Richmond, Peter, 2005. "Dynamics of money and income distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 641-654.
- 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, vol. 60(2), pages 135-149, November.
- L. A. N. Amaral & S. V. Buldyrev & S. Havlin & H. Leschhorn & P. Maass & M. A. Salinger & H. E. Stanley & M. H. R. Stanley, 1997. "Scaling behavior in economics: I. Empirical results for company growth," Papers cond-mat/9702082, arXiv.org.
- P. K. Mohanty, 2006. "Generic features of the wealth distribution in ideal-gas-like markets," Papers physics/0603141, arXiv.org, revised Jul 2006.
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