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Understanding the Variations in Gibrat's Law with a Markov-Perfect Dynamic Industry Model

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Author Info
Ana Sofia Domingues Rodrigues
Christopher A. Laincz
Abstract

Gibrat's Law of proportionate effect, as applied to firms, states that the growth rate of a firm is independent of its size. Empirical work on firm dynamics finds crucial deviations from Gibrat's Law such as smaller firms growing faster than larger firms (Evans, 1987, and Hall, 1987), a negative relationship between the variance of growth rates and size (Dunne and Hughes, 1994), and first-order positive autocorrelation in the growth rates (Kumar, 1995). Moreover, the degree of deviation from Gibrat's Law varies across industries. This paper contributes to our understanding of the forces that make Gibrat's Law a close, but imperfect approximation of firm size distributions and seeks to determine potential sources of cross-industry variation. Here, we employ an extension of the Ericson-Pakes (1995) theoretical framework that allows for firm growth developed by Laincz (2004a). By varying key parameters, the simulations demonstrate potential sources for the various, and sometimes conflicting, results on Gibrat's Law uncovered in the empirical literature

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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2004 with number 173.

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Date of creation: 11 Aug 2004
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Handle: RePEc:sce:scecf4:173

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Related research
Keywords: Gibrat's Law; Firm Size Distribution; Entry; Exit;

Find related papers by JEL classification:
L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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  1. Mansfield, Edwin, 1985. "How Rapidly Does New Industrial Technology Leak Out?," Journal of Industrial Economics, Blackwell Publishing, vol. 34(2), pages 217-23, December. [Downloadable!] (restricted)
  2. McCloughan, Patrick, 1995. "Simulation of Concentration Development from Modified Gibrat Growth-Entry-Exit Processes," Journal of Industrial Economics, Blackwell Publishing, vol. 43(4), pages 405-33, December. [Downloadable!] (restricted)
  3. Francesca Lotti & Enrico Santarelli, 2001. "Industry Dynamics and the Distribution of Firm Sizes: A Non-Parametric Approach," LEM Papers Series 2001/14, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy. [Downloadable!]
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  4. Mansfield, Edwin & Schwartz, Mark & Wagner, Samuel, 1981. "Imitation Costs and Patents: An Empirical Study," Economic Journal, Royal Economic Society, vol. 91(364), pages 907-18, December. [Downloadable!] (restricted)
  5. Hall, Bronwyn H, 1987. "The Relationship between Firm Size and Firm Growth in the U.S. Manufacturing Sector," Journal of Industrial Economics, Blackwell Publishing, vol. 35(4), pages 583-606, June. [Downloadable!] (restricted)
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  6. Kumar, M S, 1985. "Growth, Acquisition Activity and Firm Size: Evidence from the United Kingdom," Journal of Industrial Economics, Blackwell Publishing, vol. 33(3), pages 327-38, March. [Downloadable!] (restricted)
  7. Ericson, Richard & Pakes, Ariel, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," Review of Economic Studies, Blackwell Publishing, vol. 62(1), pages 53-82, January. [Downloadable!] (restricted)
  8. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-70, May. [Downloadable!] (restricted)
  9. John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March. [Downloadable!] (restricted)
  10. Hart, Peter E & Oulton, Nicholas, 1996. "Growth and Size of Firms," Economic Journal, Royal Economic Society, vol. 106(438), pages 1242-52, September. [Downloadable!] (restricted)
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  11. D.B. Audretsch & L. Klomp & E. Santarelli & A.R. Thurik, 2004. "Gibrat's Law: Are the Services Different?," Review of Industrial Organization, Springer, vol. 24(3), pages 301-324, 05. [Downloadable!]
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  12. Evans, David S, 1987. "The Relationship between Firm Growth, Size, and Age: Estimates for 100 Manufacturing Industries," Journal of Industrial Economics, Blackwell Publishing, vol. 35(4), pages 567-81, June. [Downloadable!] (restricted)
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  13. Jose A. F. Machado & Jose Mata, 2000. "Box-Cox quantile regression and the distribution of firm sizes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(3), pages 253-274. [Downloadable!]
  14. Singh, Ajit & Whittington, Geoffrey, 1975. "The Size and Growth of Firms," Review of Economic Studies, Blackwell Publishing, vol. 42(1), pages 15-26, January. [Downloadable!] (restricted)
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