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The Growth of Business Firms: Theoretical Framework and Empirical Evidence

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Author Info
Dongfeng Fu (Boston USA)
Fabio Pammolli (Boston USA, Milan Italy)
S. V. Buldyrev (New York NY)
Massimo Riccaboni (Milan Italy, Lucca Italy)
Kaushik Matia (Boston USA)
Kazuko Yamasaki (Chiba City, Japan)
H. E. Stanley (Boston USA)

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Abstract

We introduce a model of proportional growth to explain the distribution of business firm growth rates. The model predicts that the distribution is exponential in the central part and depicts an asymptotic power-law behavior in the tails with an exponent 3. Because of data limitations, previous studies in this field have been focusing exclusively on the Laplace shape of the body of the distribution. In this article, we test the model at different levels of aggregation in the economy, from products to firms to countries, and we find that the model's predictions agree with empirical growth distributions and size-variance relationships.

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File URL: http://arxiv.org/abs/physics/0512005
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Paper provided by arXiv.org in its series Quantitative Finance Papers with number physics/0512005.

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Date of creation: Dec 2005
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Handle: RePEc:arx:papers:physics/0512005

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Stephen Hymer & Peter Pashigian, 1962. "Firm Size and Rate of Growth," Journal of Political Economy, University of Chicago Press, vol. 70, pages 556. [Downloadable!] (restricted)
  2. De Fabritiis, Gianni & Riccaboni, Massimo & Pammolli, Fabio, 2003. "On Size and Growth of Business Firms," MPRA Paper 15866, University Library of Munich, Germany. [Downloadable!]
  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. [Downloadable!] (restricted)
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  4. Youngki Lee & Luis A. N. Amaral & David Canning & Martin Meyer & H. Eugene Stanley, 1998. "Universal features in the growth dynamics of complex organizations," Quantitative Finance Papers cond-mat/9804100, arXiv.org. [Downloadable!]
  5. Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August. [Downloadable!] (restricted)
  6. Hall, Bronwyn H, 1987. "The Relationship between Firm Size and Firm Growth in the U.S. Manufacturing Sector," Journal of Industrial Economics, Blackwell Publishing, vol. 35(4), pages 583-606, June. [Downloadable!] (restricted)
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  7. Canning, D. & Amaral, L. A. N. & Lee, Y. & Meyer, M. & Stanley, H. E., 1998. "Scaling the volatility of GDP growth rates," Economics Letters, Elsevier, vol. 60(3), pages 335-341, September. [Downloadable!] (restricted)
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  1. Alex Coad & Werner Hölzl, 2009. "On the Autocorrelation of Growth Rates," Journal of Industry, Competition and Trade, Springer, vol. 9(2), pages 139-166, June. [Downloadable!] (restricted)
  2. Marco Corsino & Roberto Gabriele & Enrico Zaninotto, 2008. "Organizational capabilities and industry dynamics: a computational model," DISA Working Papers 0809, Department of Computer and Management Sciences, University of Trento, Italy, revised 18 Nov 2008. [Downloadable!]
    Other versions:
  3. Giorgio Fagiolo & Mauro Napoletano & Andrea Roventini, 2006. "Are Output Growth-Rate Distributions Fat-Tailed? Some Evidence from OECD Countries," LEM Papers Series 2006/23, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy. [Downloadable!]
    Other versions:
  4. Wright, Ian, 2009. "Implicit Microfoundations for Macroeconomics," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy, vol. 3(19), pages 1-27. [Downloadable!]
    Other versions:
  5. Massimo Riccaboni & Stefano Schiavo, 2009. "The Structure and Growth of International Trade," Documents de Travail de l'OFCE 2009-24, Observatoire Francais des Conjonctures Economiques (OFCE). [Downloadable!]
  6. Massimo Riccaboni & Stefano Schiavo, 2009. "The Structure and Growth of Weighted Networks," Quantitative Finance Papers 0908.0348, arXiv.org, revised Dec 2009. [Downloadable!]
  7. Sandro Sapio, 2009. "Modelling the distribution of day-ahead electricity returns: a comparison," LEM Papers Series 2009/21, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy. [Downloadable!]
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