IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-00113346.html
   My bibliography  Save this paper

Towards an Explanation of the Exponential Distribution of Firm Growth Rates
[A la recherche d'une explication de la distribution exponentielle des taux de croissance des firmes]

Author

Listed:
  • Alex Coad

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, Max Planck Institute of Economics - Max-Planck-Gesellschaft)

Abstract

A robust feature of the corporate growth process is the exponential distribution of firm growth rates. This striking empirical regularity has been found to hold for a number of different datasets and at different levels of aggregation. In this paper, we propose a simple theoretical model capable of explaining this observed exponential distribution. We do not attempt to generalize on where growth opportunities come from, but rather we focus on how firms build upon growth opportunities. We borrow ideas from the self-organizing criticality literature to explain how the interdependent nature of discrete resources may lead to the triggering off a series of additions to a firm's resources. In a formal model we consider the case of employment growth in a hierarchy, and observe that growth rates follow an exponential distribution.

Suggested Citation

  • Alex Coad, 2006. "Towards an Explanation of the Exponential Distribution of Firm Growth Rates [A la recherche d'une explication de la distribution exponentielle des taux de croissance des firmes]," Post-Print halshs-00113346, HAL.
  • Handle: RePEc:hal:journl:halshs-00113346
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00113346
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00113346/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bak, Per & Chen, Kan & Scheinkman, Jose & Woodford, Michael, 1993. "Aggregate fluctuations from independent sectoral shocks: self-organized criticality in a model of production and inventory dynamics," Ricerche Economiche, Elsevier, vol. 47(1), pages 3-30, March.
    2. Giulio Bottazzi & Alex Coad & Nadia Jacoby & Angelo Secchi, 2011. "Corporate growth and industrial dynamics: evidence from French manufacturing," Applied Economics, Taylor & Francis Journals, vol. 43(1), pages 103-116.
    3. Bottazzi, Giulio & Dosi, Giovanni & Lippi, Marco & Pammolli, Fabio & Riccaboni, Massimo, 2001. "Innovation and corporate growth in the evolution of the drug industry," International Journal of Industrial Organization, Elsevier, vol. 19(7), pages 1161-1187, July.
    4. Giulio Bottazzi & Elena Cefis & Giovanni Dosi & Angelo Secchi, 2003. "Invariances and Diversities in the Evolution of Manufacturing Industries," LEM Papers Series 2003/21, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    5. Giulio Bottazzi & Angelo Secchi, 2003. "Common Properties and Sectoral Specificities in the Dynamics of U.S. Manufacturing Companies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 23(3_4), pages 217-232, December.
    6. Nunes Amaral, Luís A & Buldyrev, Sergey V & Havlin, Shlomo & Maass, Philipp & Salinger, Michael A & Eugene Stanley, H & Stanley, Michael H.R, 1997. "Scaling behavior in economics: The problem of quantifying company growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 1-24.
    7. Giulio Bottazzi & Angelo Secchi, 2006. "Explaining the distribution of firm growth rates," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 235-256, June.
    8. Oliver E. Williamson, 1967. "Hierarchical Control and Optimum Firm Size," Journal of Political Economy, University of Chicago Press, vol. 75(2), pages 123-123.
    9. Giulio Bottazzi & Elena Cefis & Giovanni Dosi, 2002. "Corporate growth and industrial structures: some evidence from the Italian manufacturing industry," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 11(4), pages 705-723, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cosimo Abbate & Alessandro Sapio, 2016. "Gazelles and muppets in the City: Stock market listing, risk sharing, and firm growth quantiles," LEM Papers Series 2016/33, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    2. Alex Coad, 2007. "A Closer Look at Serial Growth Rate Correlation," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 31(1), pages 69-82, August.
    3. Daria Ciriaci & Pietro Moncada-Paterno-Castello & Peter Voigt, 2012. "Does size or age of innovative firms affect their growth persistence? Evidence from a panel of innovative Spanish firms," JRC Research Reports JRC74052, Joint Research Centre.
    4. Alex Coad, 2006. "Understanding the processes of firm growth - a closer look at serial growth rate correlation," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00118801, HAL.
    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.

    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. Alex Coad, 2007. "A Closer Look at Serial Growth Rate Correlation," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 31(1), pages 69-82, August.
    2. Giulio Bottazzi & Taewon Kang & Federico Tamagni, 2023. "Persistence in firm growth: inference from conditional quantile transition matrices," Small Business Economics, Springer, vol. 61(2), pages 745-770, August.
    3. Alex Coad, 2007. "Firm Growth: a Survey," Post-Print halshs-00155762, HAL.
    4. Alex Coad, 2006. "Understanding the processes of firm Growth - a closer look at serial growth rate correlation," Cahiers de la Maison des Sciences Economiques r06051, Université Panthéon-Sorbonne (Paris 1).
    5. Philipp Mundt & Simone Alfarano & Mishael Milakovic, 2016. "Gibrat’s Law Redux: think profitability instead of growth," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 25(4), pages 549-571.
    6. Daria Ciriaci & Pietro Moncada-Paternò-Castello & Peter Voigt, 2012. "Does size or age of innovative firms affect their growth persistence? -Evidence from a panel of innovative Spanish firms-," JRC Working Papers on Corporate R&D and Innovation 2012-03, Joint Research Centre.
    7. Thomas Brenner & Matthias Duschl, 2018. "Modeling Firm and Market Dynamics: A Flexible Model Reproducing Existing Stylized Facts on Firm Growth," Computational Economics, Springer;Society for Computational Economics, vol. 52(3), pages 745-772, October.
    8. Giulio Bottazzi & Alex Coad & Nadia Jacoby & Angelo Secchi, 2011. "Corporate growth and industrial dynamics: evidence from French manufacturing," Applied Economics, Taylor & Francis Journals, vol. 43(1), pages 103-116.
    9. 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.
    10. repec:ebl:ecbull:v:12:y:2008:i:9:p:1-15 is not listed on IDEAS
    11. Marco Capasso & Elena Cefis, 2012. "Firm Size and Growth Rate Variance: The Effects of Data Truncation," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 41(3), pages 193-205, November.
    12. Williams, Michael A. & Pinto, Brijesh P. & Park, David, 2015. "Global evidence on the distribution of firm growth rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 102-107.
    13. Coad, Alex & Rao, Rekha, 2008. "Innovation and firm growth in high-tech sectors: A quantile regression approach," Research Policy, Elsevier, vol. 37(4), pages 633-648, May.
    14. Matthias Duschl & Thomas Brenner, 2013. "Characteristics of regional industry-specific employment growth rates' distributions," Papers in Regional Science, Wiley Blackwell, vol. 92(2), pages 249-270, June.
    15. Matthias Duschl & Thomas Brenner, 2011. "Characteristics of Regional Industry-specific Employment Growth – Empirical Evidence for Germany," Working Papers on Innovation and Space 2011-07, Philipps University Marburg, Department of Geography.
    16. Aziza Garsaa & Nadine Levratto, 2015. "Do labor tax rebates facilitate firm growth? An empirical study on French establishments in the manufacturing industry, 2004–2011," Small Business Economics, Springer, vol. 45(3), pages 613-641, October.
    17. Thomas Brenner & Matthias Duschl, 2014. "Modelling Firm and Market Dynamics - A Flexible Model Reproducing Existing Stylized Facts," Working Papers on Innovation and Space 2014-07, Philipps University Marburg, Department of Geography.
    18. Carolina Castaldi & Giovanni Dosi, 2009. "The patterns of output growth of firms and countries: Scale invariances and scale specificities," Empirical Economics, Springer, vol. 37(3), pages 475-495, December.
    19. Jan Schulz & Daniel M. Mayerhoffer, 2021. "Equal chances, unequal outcomes? Network-based evolutionary learning and the industrial dynamics of superstar firms," Journal of Business Economics, Springer, vol. 91(9), pages 1357-1385, November.
    20. Giorgio Fagiolo & Mauro Napoletano & Andrea Roventini, 2008. "Are output growth-rate distributions fat-tailed? some evidence from OECD countries," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(5), pages 639-669.
    21. 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.

    More about this item

    Keywords

    firm growth rates; exponential distribution; hierarchy; croissance des firmes; distributions exponentielle; hiérarchie;
    All these keywords.

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

    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:hal:journl:halshs-00113346. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.