IDEAS home Printed from https://ideas.repec.org/a/kap/sbusec/v64y2025i2d10.1007_s11187-024-00915-1.html
   My bibliography  Save this article

Was Robert Gibrat right? A test based on the graphical model methodology

Author

Listed:
  • Marco Guerzoni

    (University of Milano-Bicocca
    University of Strasbourg)

  • Luigi Riso

    (Catholic University)

  • Marco Vivarelli

    (Catholic University
    UNU-MERIT
    IZA)

Abstract

Using both regression analysis and an unsupervised graphical model approach (never applied before to this issue), we confirm the rejection of Gibrat’s Law (stating that a firm’s growth is independent of that firm’s initial size) when our firm-level data are considered over the entire investigated period, while the opposite is true when we allow for market selection; indeed, the growth behavior of the surviving most efficient firms is in line with Gibrat’s Law. This evidence reconciles early and current literature and may have interesting implications in terms of both theoretical research and policy suggestions regarding subsidies to small firms, which do not necessarily grow faster than their larger counterparts.

Suggested Citation

  • Marco Guerzoni & Luigi Riso & Marco Vivarelli, 2025. "Was Robert Gibrat right? A test based on the graphical model methodology," Small Business Economics, Springer, vol. 64(2), pages 475-488, February.
  • Handle: RePEc:kap:sbusec:v:64:y:2025:i:2:d:10.1007_s11187-024-00915-1
    DOI: 10.1007/s11187-024-00915-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11187-024-00915-1
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11187-024-00915-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Blandina Oliveira & Adelino Fortunato, 2006. "Testing Gibrat's Law: Empirical Evidence from a Panel of Portuguese Manufacturing Firms," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 13(1), pages 65-81.
    2. 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.
    3. Francesca Lotti & Enrico Santarelli & Marco Vivarelli, 2009. "Defending Gibrat’s Law as a long-run regularity," Small Business Economics, Springer, vol. 32(1), pages 31-44, January.
    4. Chesher, Andrew, 1979. "Testing the Law of Proportionate Effect," Journal of Industrial Economics, Wiley Blackwell, vol. 27(4), pages 403-411, June.
    5. Richard Ericson & Ariel Pakes, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(1), pages 53-82.
    6. Julie Ann Elston & Alois Weidinger, 2023. "An empirical examination of firm growth in the MENA region through the lens of Gibrat’s law," Small Business Economics, Springer, vol. 60(1), pages 121-131, January.
    7. 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.
    8. D.B. Audretsch & L. Klomp & E. Santarelli & A.R. Thurik, 2004. "Gibrat's Law: Are the Services Different?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 24(3), pages 301-324, May.
    9. Dunne, Paul & Hughes, Alan, 1994. "Age, Size, Growth and Survival: UK Companies in the 1980s," Journal of Industrial Economics, Wiley Blackwell, vol. 42(2), pages 115-140, June.
    10. Alex Coad & Sven-Olov Daunfeldt & Werner Hölzl & Dan Johansson & Paul Nightingale, 2014. "High-growth firms: introduction to the special section," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 23(1), pages 91-112, February.
    11. Stephen Hymer & Peter Pashigian, 1962. "Firm Size and Rate of Growth," Journal of Political Economy, University of Chicago Press, vol. 70(6), pages 556-556.
    12. Hassan Arouri & Adel Ben Youssef & Francesco Quatraro & Marco Vivarelli, 2020. "Drivers of growth in Tunisia: young firms vs incumbents," Small Business Economics, Springer, vol. 54(1), pages 323-340, January.
    13. 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.
    14. Audretsch, David B. & Santarelli, Enrico & Vivarelli, Marco, 1999. "Start-up size and industrial dynamics: some evidence from Italian manufacturing," International Journal of Industrial Organization, Elsevier, vol. 17(7), pages 965-983, October.
    15. Sven-Olov Daunfeldt & Niklas Elert, 2013. "When is Gibrat’s law a law?," Small Business Economics, Springer, vol. 41(1), pages 133-147, June.
    16. José Calvo, 2006. "Testing Gibrat’s Law for Small, Young and Innovating Firms," Small Business Economics, Springer, vol. 26(2), pages 117-123, March.
    17. 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.
    18. Paul Nightingale & Alex Coad, 2014. "Muppets and gazelles: political and methodological biases in entrepreneurship research," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 23(1), pages 113-143, February.
    19. Distante, Roberta & Petrella, Ivan & Santoro, Emiliano, 2018. "Gibrat’s law and quantile regressions: An application to firm growth," Economics Letters, Elsevier, vol. 164(C), pages 5-9.
    20. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-670, May.
    21. Magda Fontana & Martina Iori & Fabio Montobbio & Roberta Sinatra, 2018. "A bridge over troubled water: Interdisciplinarity, Novelty, and Impact," DISCE - Working Papers del Dipartimento di Politica Economica dipe0002, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    22. Richard E. Caves, 1998. "Industrial Organization and New Findings on the Turnover and Mobility of Firms," Journal of Economic Literature, American Economic Association, vol. 36(4), pages 1947-1982, December.
    23. Hart, Peter E & Oulton, Nicholas, 1996. "Growth and Size of Firms," Economic Journal, Royal Economic Society, vol. 106(438), pages 1242-1252, September.
    24. Delmar, Frederic & Davidsson, Per & Gartner, William B., 2003. "Arriving at the high-growth firm," Journal of Business Venturing, Elsevier, vol. 18(2), pages 189-216, March.
    25. Marco Guerzoni & Consuelo R. Nava & Massimiliano Nuccio, 2021. "Start-ups survival through a crisis. Combining machine learning with econometrics to measure innovation," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 30(5), pages 468-493, July.
    26. Malerba, Franco & Orsenigo, Luigi, 1995. "Schumpeterian Patterns of Innovation," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 19(1), pages 47-65, February.
    27. 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.
    28. Timothy Dunne & Mark J. Roberts & Larry Samuelson, 1989. "The Growth and Failure of U. S. Manufacturing Plants," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(4), pages 671-698.
    29. Aili Tang, 2015. "Does Gibrat’s law hold for Swedish energy firms?," Empirical Economics, Springer, vol. 49(2), pages 659-674, September.
    30. Malerba, Franco & Orsenigo, Luigi, 1996. "Schumpeterian patterns of innovation are technology-specific," Research Policy, Elsevier, vol. 25(3), pages 451-478, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Guerzoni, Marco & Riso, Luigi & Vivarelli, Marco, 2023. "The Law of Proportionate Effect: A test based on the graphical model methodology," GLO Discussion Paper Series 1248, Global Labor Organization (GLO).
    2. Canarella, Giorgio & Miller, Stephen M., 2018. "The determinants of growth in the U.S. information and communication technology (ICT) industry: A firm-level analysis," Economic Modelling, Elsevier, vol. 70(C), pages 259-271.
    3. Daunfeldt, Sven-Olov & Elert, Niklas & Lang, Ã…sa, 2012. "Does Gibrat's law hold for retailing? Evidence from Sweden," Journal of Retailing and Consumer Services, Elsevier, vol. 19(5), pages 464-469.
    4. Aili Tang, 2015. "Does Gibrat’s law hold for Swedish energy firms?," Empirical Economics, Springer, vol. 49(2), pages 659-674, September.
    5. Daria Ciriaci & Pietro Moncada-Paternò-Castello & Peter Voigt, 2016. "Innovation and job creation: a sustainable relation?," Eurasian Business Review, Springer;Eurasia Business and Economics Society, vol. 6(2), pages 189-213, August.
    6. Marco Vivarelli, 2013. "Is entrepreneurship necessarily good? Microeconomic evidence from developed and developing countries," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 22(6), pages 1453-1495, December.
    7. Pei-Chou Lin & Deng-Shing Huang, 2006. "Technological Regimes and Firm Survival: Evidence across Sectors and over Time," IEAS Working Paper : academic research 06-A012, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    8. Francesca Lotti & Enrico Santarelli & Marco Vivarelli, 2009. "Defending Gibrat’s Law as a long-run regularity," Small Business Economics, Springer, vol. 32(1), pages 31-44, January.
    9. Sven-Olov Daunfeldt & Niklas Elert, 2013. "When is Gibrat’s law a law?," Small Business Economics, Springer, vol. 41(1), pages 133-147, June.
    10. Giorgio Barba Navaretti & Davide Castellani & Fabio Pieri, 2014. "Age and firm growth: evidence from three European countries," Small Business Economics, Springer, vol. 43(4), pages 823-837, December.
    11. Enrico Santarelli & Marco Vivarelli, 2007. "Entrepreneurship and the process of firms’ entry, survival and growth," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 16(3), pages 455-488, June.
    12. Roberta Piergiovanni, 2010. "Gibrat's Law in the “Third Italy”: Firm Growth in the Veneto Region," Growth and Change, Wiley Blackwell, vol. 41(1), pages 28-58, March.
    13. Halvarsson, Daniel, 2013. "Industry Differences in the Firm Size Distribution," Ratio Working Papers 214, The Ratio Institute.
    14. Georgios Fotopoulos & Ioannis Giotopoulos, 2010. "Gibrat’s law and persistence of growth in Greek manufacturing," Small Business Economics, Springer, vol. 35(2), pages 191-202, September.
    15. Coad, Alex & Segarra, Agustí & Teruel, Mercedes, 2013. "Like milk or wine: Does firm performance improve with age?," Structural Change and Economic Dynamics, Elsevier, vol. 24(C), pages 173-189.
    16. Alex Coad, 2007. "Firm Growth: a Survey," Post-Print halshs-00155762, HAL.
    17. Cefis, Elena & Ciccarelli, Matteo & Orsenigo, Luigi, 2007. "Testing Gibrat's legacy: A Bayesian approach to study the growth of firms," Structural Change and Economic Dynamics, Elsevier, vol. 18(3), pages 348-369, September.
    18. D.B. Audretsch & L. Klomp & E. Santarelli & A.R. Thurik, 2004. "Gibrat's Law: Are the Services Different?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 24(3), pages 301-324, May.
    19. Tang, Ali, 2014. "Does Gibrat’s Law Hold for Swedish Energy Firms?," HUI Working Papers 99, HUI Research.
    20. Younsuk Park & Jaeun Shin & Taejong Kim, 2010. "Firm size, age, industrial networking, and growth: a case of the Korean manufacturing industry," Small Business Economics, Springer, vol. 35(2), pages 153-168, September.

    More about this item

    Keywords

    Gibrat’s Law; Firm survival; Market selection; Firm growth;
    All these keywords.

    JEL classification:

    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:sbusec:v:64:y:2025:i:2:d:10.1007_s11187-024-00915-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.