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From Gibrat’s legacy to Gibrat’s fallacy. A Bayesian approach to study the growth of firms

Author

Listed:
  • Elena Cefis

    (Department of Economics, University of Bergamo)

  • Matteo Ciccarelli

    (Departamento de Fundamentos del Analisis Economico, Universidad de Alicante)

  • Luigi Orsenigo

    (Dipartimento di Ingegneria Meccanica e Industriale, University of Brescia)

Abstract

In this paper we investigate some properties of the patterns of firms’ growth. Several recent studies about this topic are based on some version of the so-called Gibrat’s Law, which assumes that firms’ growth is erratic. We aimed at testing Gibrat’s Law, as a first step towards a more systematic investigation of the patterns of firms’ growth. Using a Bayesian statistical framework that nests previous approaches, we find that: (i) there seems to be strong evidence against the Gibrat’s law on average, within or across industries; (ii) previous results are probably incorrect because they are based on models that do not exploit all information contained in a panel data set, particularly models that do not control for potential heterogeneity in the convergence rates; (iii) estimated steady states differ across units, and firm sizes and growth rates do not converge within the same industry to a common limiting distribution; (iv) there is only weak evidence of mean reversion, i.e. initial larger firms do not grow relatively slower than smaller firms. Differences in growth rates and in size steady state are firm-specific, rather than size-specific; (v) differences in growth rates do not seems to disappear over time.

Suggested Citation

  • Elena Cefis & Matteo Ciccarelli & Luigi Orsenigo, 2002. "From Gibrat’s legacy to Gibrat’s fallacy. A Bayesian approach to study the growth of firms," Working Papers (-2012) 0206, University of Bergamo, Department of Economics.
  • Handle: RePEc:brg:wpaper:0206
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    References listed on IDEAS

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    1. G. Urga & P. A. Geroski & S. Lazarova & C. F. Walters, 2003. "Are differences in firm size transitory or permanent?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 47-59.
    2. Hsiao, C. & Pesaran, M. H. & Tahmiscioglu, A. K., 1998. "Bayes Estimation of Short-run Coefficients in Dynamic Panel Data Models," Cambridge Working Papers in Economics 9804, Faculty of Economics, University of Cambridge.
    3. Cefis, Elena & Orsenigo, Luigi, 2001. "The persistence of innovative activities: A cross-countries and cross-sectors comparative analysis," Research Policy, Elsevier, vol. 30(7), pages 1139-1158, August.
    4. Pakes, Ariel & Ericson, Richard, 1998. "Empirical Implications of Alternative Models of Firm Dynamics," Journal of Economic Theory, Elsevier, vol. 79(1), pages 1-45, March.
    5. S .G. Winter & Y. M. Kaniovski, 2000. "Modeling Industrial Dynamics with Innovative Entrants," Chapters, in: Innovation, Organization and Economic Dynamics, chapter 16, pages 459-500, Edward Elgar Publishing.
    6. Sims, Christopher A., 1988. "Bayesian skepticism on unit root econometrics," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 463-474.
    7. Chib, Siddhartha & Greenberg, Edward, 1996. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometric Theory, Cambridge University Press, vol. 12(3), pages 409-431, August.
    8. Evans, David S, 1987. "The Relationship between Firm Growth, Size, and Age: Estimates for 100 Manufacturing Industries," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 567-581, June.
    9. John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March.
    10. Dietmar Harhoff & Konrad Stahl & Michaerl Woywode, 1998. "Legal Form, Growth and Exit of West German Firms—Empirical Results for Manufacturing, Construction, Trade and Service Industries," Journal of Industrial Economics, Wiley Blackwell, vol. 46(4), pages 453-488, December.
    11. Pesaran, M. Hashem & Smith, Ron, 1995. "Estimating long-run relationships from dynamic heterogeneous panels," Journal of Econometrics, Elsevier, vol. 68(1), pages 79-113, July.
    12. Hall, Bronwyn H, 1987. "The Relationship between Firm Size and Firm Growth in the U.S. Manufacturing Sector," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 583-606, June.
    13. Evans, David S, 1987. "Tests of Alternative Theories of Firm Growth," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 657-674, August.
    14. Chib, Siddhartha & Greenberg, Edward, 1995. "Hierarchical analysis of SUR models with extensions to correlated serial errors and time-varying parameter models," Journal of Econometrics, Elsevier, vol. 68(2), pages 339-360, August.
    15. Timothy Dunne & Mark J. Roberts & Larry Samuelson, 1989. "The Growth and Failure of U. S. Manufacturing Plants," The Quarterly Journal of Economics, Oxford University Press, vol. 104(4), pages 671-698.
    16. Peter Hart & Nicholas Oulton, 1999. "Gibrat, Galton and Job Generation," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 6(2), pages 149-164.
    17. Goddard, John & Wilson, John & Blandon, Peter, 2002. "Panel tests of Gibrat's Law for Japanese manufacturing," International Journal of Industrial Organization, Elsevier, vol. 20(3), pages 415-433, March.
    18. Fabio Canova & Albert Marcet, 1995. "The poor stay poor: Non-convergence across countries and regions," Economics Working Papers 137, Department of Economics and Business, Universitat Pompeu Fabra, revised Jun 1999.
    19. repec:cup:etheor:v:12:y:1996:i:3:p:409-31 is not listed on IDEAS
    20. Ijiri, Yuji & Simon, Herbert A, 1974. "Interpretations of Departures from the Pareto Curve Firm-Size Distributions," Journal of Political Economy, University of Chicago Press, vol. 82(2), pages 315-331, Part I, M.
    21. Richard Ericson & Ariel Pakes, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," Review of Economic Studies, Oxford University Press, vol. 62(1), pages 53-82.
    22. Klette, Tor Jakob & Moen, Jarle & Griliches, Zvi, 2000. "Do subsidies to commercial R&D reduce market failures? Microeconometric evaluation studies1," Research Policy, Elsevier, vol. 29(4-5), pages 471-495, April.
    23. Paul Geroski & Steve Machin & John Van Reenen, 1993. "The Profitability of Innovating Firms," RAND Journal of Economics, The RAND Corporation, vol. 24(2), pages 198-211, Summer.
    24. Francesca Lotti & Enrico Santarelli & Marco Vivarelli, 2003. "Does Gibrat's Law hold among young, small firms?," Journal of Evolutionary Economics, Springer, vol. 13(3), pages 213-235, August.
    25. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-670, May.
    26. McCloughan, Patrick, 1995. "Simulation of Concentration Development from Modified Gibrat Growth-Entry-Exit Processes," Journal of Industrial Economics, Wiley Blackwell, vol. 43(4), pages 405-433, December.
    27. José Fariñas & Lourdes Moreno, 2000. "Firms' Growth, Size and Age: A Nonparametric Approach," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 17(3), pages 249-265, November.
    28. Harhoff, Dietmar & Stahl, Konrad & Woywode, Michael, 1998. "Legal Form, Growth and Exit of West German Firms--Empirical Results for Manufacturing, Construction, Trade and Service Industries," Journal of Industrial Economics, Wiley Blackwell, vol. 46(4), pages 453-488, December.
    29. Giulio Bottazzi & Giovanni Dosi & Marco Lippi & Fabio Pammolli & Massimo Riccaboni, 2000. "Processes of corporate growth in the evolution of an innovation-driven industry. The case of pharmaceuticals," LEM Papers Series 2000/05, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    30. Martin Neil Baily & Alok K. Chakrabarti, 1985. "Innovation and Productivity in U.S. Industry," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 16(2), pages 609-639.
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    More about this item

    Keywords

    Gibrat’s law; panel data; heterogeneity; Bayesian estimation; Gibbs sampling;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives

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