IDEAS home Printed from https://ideas.repec.org/p/mse/cesdoc/r08055.html
   My bibliography  Save this paper

Firms as bundles of discrete resources - towards an explanation of the exponential distribution of firm growth rates

Author

Abstract

A robust feature of the corporate growth process is the Laplace, or symmetric exponential, distribution of firm growth rates. In this paper, we sketch out a class of simple theoretical models capable of explaining this empirical regularity. We do not attempt to generalize on where growth opportunities comme from, but rather we focus on how firms build upon growth opportunites. We borrow ideas from the self-organizing criticality literature to explain how the interdependent nature of discrete resources may lead to the triggering off of a series of additions to a firm's resources. In a first formal model we consider the case of employment growth in a hierarchy, and observe that growth rates follow an exponential distribution. In a second model we include plant and capital as resources and we are able to reproduce a number of stylized facts about firm growth

Suggested Citation

  • Alex Coad, 2008. "Firms as bundles of discrete resources - towards an explanation of the exponential distribution of firm growth rates," Documents de travail du Centre d'Economie de la Sorbonne r08055, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    • Handle: RePEc:mse:cesdoc:r08055
    as

    Download full text from publisher

    File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2008/R08055.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. David J. TEECE, 2008. "Profiting from technological innovation: Implications for integration, collaboration, licensing and public policy," World Scientific Book Chapters, in: The Transfer And Licensing Of Know-How And Intellectual Property Understanding the Multinational Enterprise in the Modern World, chapter 5, pages 67-87, World Scientific Publishing Co. Pte. Ltd..
    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. Paul Geroski & Klaus Gugler, 2004. "Corporate growth convergence in Europe," Oxford Economic Papers, Oxford University Press, vol. 56(4), pages 597-620, October.
    5. Arthur, W Brian, 1989. "Competing Technologies, Increasing Returns, and Lock-In by Historical Events," Economic Journal, Royal Economic Society, vol. 99(394), pages 116-131, March.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Toke Reichstein & Morten Berg Jensen, 2005. "Firm size and firm growth rate distributions--The case of Denmark," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 14(6), pages 1145-1166, December.
    11. Bottazzi, Giulio & Secchi, Angelo, 2003. "A stochastic model of firm growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 213-219.
    12. Michael T. Hannan, 2005. "Ecologies of Organizations: Diversity and Identity," Journal of Economic Perspectives, American Economic Association, vol. 19(1), pages 51-70, Winter.
    13. Brock, W A, 1999. "Scaling in Economics: A Reader's Guide," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 8(3), pages 409-446, September.
    14. Joao Pedro Azevedo, 2004. "GRQREG: Stata module to graph the coefficients of a quantile regression," Statistical Software Components S437001, Boston College Department of Economics, revised 17 Mar 2011.
    15. 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.
    16. Martha S. Feldman, 2004. "Resources in Emerging Structures and Processes of Change," Organization Science, INFORMS, vol. 15(3), pages 295-309, June.
    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. Alex Coad & Sven-Olov Daunfeldt & Daniel Halvarsson, 2018. "Bursting into life: firm growth and growth persistence by age," Small Business Economics, Springer, vol. 50(1), pages 55-75, January.
    2. Alex Coad & Sven-Olov Daunfeldt & Daniel Halvarsson, 2022. "Amundsen versus Scott: are growth paths related to firm performance?," Small Business Economics, Springer, vol. 59(2), pages 593-610, August.
    3. Alex Coad & Stjepan Srhoj, 2020. "Catching Gazelles with a Lasso: Big data techniques for the prediction of high-growth firms," Small Business Economics, Springer, vol. 55(3), pages 541-565, October.
    4. Ho-Chang Chae, 2024. "In search of gazelles: machine learning prediction for Korean high-growth firms," Small Business Economics, Springer, vol. 62(1), pages 243-284, January.
    5. Alex Coad, 2022. "Lumps, Bumps and Jumps in the Firm Growth Process," Foundations and Trends(R) in Entrepreneurship, now publishers, vol. 18(4), pages 212-267, April.
    6. David Vidal-Tomás & Alba Ruiz-Buforn & Omar Blanco-Arroyo & Simone Alfarano, 2022. "A Cross-Sectional Analysis of Growth and Profit Rate Distribution: The Spanish Case," Mathematics, MDPI, vol. 10(6), pages 1-20, March.

    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. 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.
    2. 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.
    3. Alex Coad, 2007. "Firm Growth: a Survey," Post-Print halshs-00155762, HAL.
    4. 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.
    5. repec:ebl:ecbull:v:12:y:2008:i:9:p:1-15 is not listed on IDEAS
    6. Alex Coad & Werner Hölzl, 2012. "Firm Growth: Empirical Analysis," Chapters, in: Michael Dietrich & Jackie Krafft (ed.), Handbook on the Economics and Theory of the Firm, chapter 24, Edward Elgar Publishing.
    7. Alex Coad, 2008. "Firm growth and scaling of growth rate variance in multiplant firms," Economics Bulletin, AccessEcon, vol. 12(9), pages 1-15.
    8. 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.
    9. 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.
    10. Alessandra Colombelli & Jackie Krafft & Francesco Quatraro, 2015. "Eco-innovation and Firm Growth: Do Green Gazelles Run Faster? Microeconometric Evidence from a Sample of European Firms. WWWforEurope Working Paper No. 88," WIFO Studies, WIFO, number 57897, April.
    11. Alex Coad, 2007. "Exploring the "mechanics" of firm growth: evidence from a short-panel VAR," Post-Print halshs-00175048, HAL.
    12. 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.
    13. 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.
    14. Colombelli, Alessandra & Haned, Naciba & Le Bas, Christian, 2013. "On firm growth and innovation: Some new empirical perspectives using French CIS (1992–2004)," Structural Change and Economic Dynamics, Elsevier, vol. 26(C), pages 14-26.
    15. Jakub Growiec & Fabio Pammolli & Massimo Riccaboni, 2020. "Innovation and Corporate Dynamics: A Theoretical Framework," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 12(1), pages 1-45, March.
    16. 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.
    17. Alessandra Colombelli & Jackie Krafft & Francesco Quatraro, 2015. "Eco-innovation and firm growth: Do green gazelles run faster? Microeconometric evidence from a sample of European firms," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201516, University of Turin.
    18. 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.
    19. 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.
    20. 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.
    21. 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.

    More about this item

    Keywords

    Firm growth rates; exponential distribution; hierarchy; growth autocorrelation;
    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:mse:cesdoc:r08055. 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: Lucie Label (email available below). General contact details of provider: https://edirc.repec.org/data/cenp1fr.html .

    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.