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

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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

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  • 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
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    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. Siavash Mohades & Giulia Piccillo & Maria Savona & Tania Treibich, 2025. "Firms’ Investment and Capacity Utilisation: The Role of Financial Constraints and Uncertainty," CESifo Working Paper Series 12108, CESifo.
    5. 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.
    6. 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.
    7. 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.
    8. 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.

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    JEL classification:

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

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