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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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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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Citations

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Cited by:
  1. Y. Malevergne & A. Saichev & D. Sornette, 2010. "Zipf's law and maximum sustainable growth," Papers 1012.0199, arXiv.org.
  2. 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).
  3. 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.
  4. Eliazar, Iddo I. & Cohen, Morrel H., 2013. "On the physical interpretation of statistical data from black-box systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(13), pages 2924-2939.
  5. Mundt, Philipp & Förster, Niels & Alfarano, Simone & Milakovi?, Mishael, 2014. "The real versus the financial economy: A global tale of stability versus volatility," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 8(17), pages 1-26.
  6. 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.
  7. 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.
  8. 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.
  9. Toda, Alexis Akira, 2012. "The double power law in income distribution: Explanations and evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 84(1), pages 364-381.
  10. 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.

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