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A Statistical Equilibrium Model of Competitive Firms

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  • Irle, Albrecht
  • Milaković, Mishael
  • Alfarano, Simone
  • Kauschke, Jonas

Abstract

We argue that the complex interactions of competitive heterogeneous firms lead to a statistical equilibrium distribution of firms? profit rates, which turns out to be an exponential power (or Subbotin) distribution. Moreover, we construct a diffusion process that has the Subbotin distribution as its stationary probability density, leading to a phenomenologically inspired interpretation of variations in the shape parameter of the statistical equilibrium distribution. Our main finding is that firms? idiosyncratic efforts and the tendency for competition to equalize profit rates are two sides of the same coin. --

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Bibliographic Info

Paper provided by Christian-Albrechts-University of Kiel, Department of Economics in its series Economics Working Papers with number 2008,10.

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Date of creation: 2008
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Handle: RePEc:zbw:cauewp:7362

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Fax: 0431-880 3150
Web page: http://www.wiso.uni-kiel.de/econ/
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Keywords: Statistical equilibrium; maximum entropy principle; diffusion process; stochastic differential equation; competition; profit rate;

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References

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  1. S. V. Buldyrev & F. Pammolli & M. Riccaboni & K. Yamasaki & D.-F. Fu & K. Matia & H. E. Stanley, 2007. "A generalized preferential attachment model for business firms growth rates," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 57(2), pages 131-138, 05.
  2. Maruyama, Nobuhiro & Odagiri, Hiroyuki, 2002. "Does the 'persistence of profits' persist?: a study of company profits in Japan, 1964-97," International Journal of Industrial Organization, Elsevier, vol. 20(10), pages 1513-1533, December.
  3. Wagner, Friedrich & Milaković, Mishael & Alfarano, Simone, 2010. "Firm profitability and the network of organizational capabilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4769-4775.
  4. Foley Duncan K., 1994. "A Statistical Equilibrium Theory of Markets," Journal of Economic Theory, Elsevier, vol. 62(2), pages 321-345, April.
  5. Mishael Milakovic & Carolina Castaldi, 2004. "Turnover Activity in Wealth Portfolios," Computing in Economics and Finance 2004 120, Society for Computational Economics.
  6. Xavier Gabaix, 2009. "The Granular Origins of Aggregate Fluctuations," NBER Working Papers 15286, National Bureau of Economic Research, Inc.
  7. Goddard, J. A. & Wilson, J. O. S., 1999. "The persistence of profit: a new empirical interpretation," International Journal of Industrial Organization, Elsevier, vol. 17(5), pages 663-687, July.
  8. Alfarano, Simone & Milaković, Mishael, 2008. "Does Classical Competition Explain the Statistical Features of Firm Growth?," Economics Working Papers 2008,03, Christian-Albrechts-University of Kiel, Department of Economics.
  9. Jack Glen & Kevin Lee & Ajit Singh, 2003. "Corporate profitability and the dynamics of competition in emerging markets: a time series analysis," Economic Journal, Royal Economic Society, vol. 113(491), pages F465-F484, November.
  10. Vickers, John, 1995. "Concepts of Competition," Oxford Economic Papers, Oxford University Press, vol. 47(1), pages 1-23, January.
  11. Young, Allyn A., 1928. "Increasing Returns and Economic Progress," History of Economic Thought Articles, McMaster University Archive for the History of Economic Thought, vol. 38, pages 527-542.
  12. Adelina Gschwandtner, 2004. "Profit Persistence in the "Very" Long Run: Evidence from Survivors and Exiters," Vienna Economics Papers 0401, University of Vienna, Department of Economics.
  13. Giulio Bottazzi & Angelo Secchi & Federico Tamagni, 2006. "Productivity, Profitability and Financial Fragility: Evidence from Italian Business Firms," LEM Papers Series 2006/08, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  14. Giulio Bottazzi & Elena Cefis & Giovanni Dosi, 2001. "Corporate Growth and Industrial Structure. Some Evidence from the Italian Manufacturing Industry," LEM Papers Series 2001/08, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  15. Giulio Bottazzi & Angelo Secchi, 2003. "Common Properties and Sectoral Specificities in the Dynamics of U.S. Manufacturing Companies," Review of Industrial Organization, Springer, vol. 23(3_4), pages 217-232, December.
  16. George J. Stigler, 1957. "Perfect Competition, Historically Contemplated," Journal of Political Economy, University of Chicago Press, vol. 65, pages 1.
  17. Mueller, Dennis C, 1977. "The Persistence of Profits above the Norm," Economica, London School of Economics and Political Science, vol. 44(176), pages 369-80, November.
  18. Giulio Bottazzi & Angelo Secchi, 2005. "Explaining the Distribution of Firms Growth Rates," LEM Papers Series 2005/16, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  19. Giorgio Fagiolo & Lucia Alessi & Matteo Barigozzi & Marco Capasso, 2007. "On the distributional properties of household consumption expenditures. The case of Italy," LEM Papers Series 2007/24, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  20. Giorgio Fagiolo & Mauro Napoletano & Andrea Roventini, 2006. "Are Output Growth-Rate Distributions Fat-Tailed? Some Evidence from OECD Countries," LEM Papers Series 2006/23, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  21. John Cable & Dennis Mueller, 2008. "Testing for Persistence of Profits' Differences Across Firms," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 15(2), pages 201-228.
  22. G. Bottazzi & E. Cefis & G. Dosi & A. Secchi, 2007. "Invariances and Diversities in the Patterns of Industrial Evolution: Some Evidence from Italian Manufacturing Industries," Small Business Economics, Springer, vol. 29(1), pages 137-159, June.
  23. Stutzer, Michael, 1996. " A Simple Nonparametric Approach to Derivative Security Valuation," Journal of Finance, American Finance Association, vol. 51(5), pages 1633-52, December.
  24. Geroski, Paul A & Jacquemin, Alexis, 1988. "The Persistence of Profits: A European Comparison," Economic Journal, Royal Economic Society, vol. 98(391), pages 375-89, June.
  25. Glen, Jack & Lee, Kevin & Singh, Ajit, 2001. "Persistence of profitability and competition in emerging markets," Economics Letters, Elsevier, vol. 72(2), pages 247-253, August.
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Citations

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Cited by:
  1. Alfarano, Simone & Förster, Niels & Milaković, Mishael & Mundt, Philipp, 2013. "The real versus the financial economy: A global tale of stability versus volatility," Economics Discussion Papers 2013-8, Kiel Institute for the World Economy.
  2. F. Wagner & M. Milaković & S. Alfarano, 2010. "What distinguishes individual stocks from the index?," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 73(1), pages 23-28, January.
  3. Malevergne, Y. & Saichev, A. & Sornette, D., 2013. "Zipf's law and maximum sustainable growth," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1195-1212.
  4. Einar Jón Erlingsson & Simone Alfarano & Marco Raberto & Hlynur Stefánssonn, 2012. "On the distributional properties of size, profit and growth of Icelandic firms," Working Papers 2012/01, Economics Department, Universitat Jaume I, Castellón (Spain).
  5. Cohen, Morrel H. & Eliazar, Iddo I., 2013. "Econophysical visualization of Adam Smith’s invisible hand," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 813-823.
  6. Lunardi, José T. & Miccichè, Salvatore & Lillo, Fabrizio & Mantegna, Rosario N. & Gallegati, Mauro, 2014. "Do firms share the same functional form of their growth rate distribution? A statistical test," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 140-164.
  7. Metzig, Cornelia & Gordon, Mirta B., 2014. "A model for scaling in firms’ size and growth rate distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 398(C), pages 264-279.
  8. Mundt, Philipp & Milakovic, Mishael & Alfarano, Simone, 2014. "Gibrat's law redux: Think profitability instead of growth," BERG Working Paper Series 92, Bamberg University, Bamberg Economic Research Group.

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