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The Exponential Age Distribution and the Pareto Firm Size Distribution

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  • Alex Coad

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Abstract

Recent work drawing on data for large and small firms has shown a Pareto distribution of firm size. We mix a Gibrat-type growth process among incumbents with an exponential distribution of firm's age, to obtain the empirical Pareto distribution.
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Suggested Citation

  • Alex Coad, 2010. "The Exponential Age Distribution and the Pareto Firm Size Distribution," Journal of Industry, Competition and Trade, Springer, vol. 10(3), pages 389-395, September.
  • Handle: RePEc:kap:jincot:v:10:y:2010:i:3:p:389-395
    DOI: 10.1007/s10842-010-0071-4
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    References listed on IDEAS

    as
    1. Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, vol. 74(1), pages 15-19, December.
    2. Ramsden, J.J. & Kiss-Haypál, Gy., 2000. "Company size distribution in different countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 220-227.
    3. Alexander Coad & Jagannadha Pawan Tamvada, 2008. "The Growth and Decline of Small firms In Developing Countries," Papers on Economics and Evolution 2008-08, Philipps University Marburg, Department of Geography.
    4. Gaffeo, Edoardo & Gallegati, Mauro & Palestrini, Antonio, 2003. "On the size distribution of firms: additional evidence from the G7 countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 117-123.
    5. Bernardo A. Huberman & Lada A. Adamic, 1999. "The Nature of Markets in the World Wide Web," Computing in Economics and Finance 1999 521, Society for Computational Economics.
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    Citations

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    Cited by:

    1. 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.
    2. Coad, Alex, 2010. "Investigating the exponential age distribution of firms," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 4, pages 1-30.
    3. Adam, Klaus & Weber, Henning, 2017. "Optimal trend inflation," CFS Working Paper Series 579, Center for Financial Studies (CFS).
    4. Heinrich, Torsten & Dai, Shuanping, 2016. "Diversity of firm sizes, complexity, and industry structure in the Chinese economy," Structural Change and Economic Dynamics, Elsevier, vol. 37(C), pages 90-106.
    5. Cortés, Lina M. & Mora-Valencia, Andrés & Perote, Javier, 2017. "Measuring firm size distribution with semi-nonparametric densities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 485(C), pages 35-47.
    6. Murat ATAN & Emre BOZDAĞ, 2011. "Avrupa Karbonatlı İçecekler Piyasasında Firma Büyüklüğü Ve Büyüklük Genişleme Oranı İlişkisi," Ekonomik Yaklasim, Ekonomik Yaklasim Association, vol. 22(80), pages 19-38.
    7. Martin Andersson & Börje Johansson, 2012. "Heterogeneous Distributions of Firms Sustained by Innovation Dynamics—A Model with Empirical Illustrations and Analysis," Journal of Industry, Competition and Trade, Springer, vol. 12(2), pages 239-263, June.
    8. Sven-Olov Daunfeldt & Niklas Elert & Dan Johansson, 2014. "The Economic Contribution of High-Growth Firms: Do Policy Implications Depend on the Choice of Growth Indicator?," Journal of Industry, Competition and Trade, Springer, vol. 14(3), pages 337-365, September.
    9. Coad, Alex & Segarra, Agustí & Teruel, Mercedes, 2016. "Innovation and firm growth: Does firm age play a role?," Research Policy, Elsevier, vol. 45(2), pages 387-400.
    10. Flavio Calvino, 2016. "Technological Innovation and the Distribution of Employment Growth: a firm-level analysis," LEM Papers Series 2016/37, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    11. Klaus Adam & Henning Weber, 2018. "Optimal Trend Inflation," CRC TR 224 Discussion Paper Series crctr224_010_2018, University of Bonn and University of Mannheim, Germany.
    12. Malevergne, Y. & Saichev, A. & Sornette, D., 2013. "Zipf's law and maximum sustainable growth," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1195-1212.
    13. Brendan K. Beare & Alexis Akira Toda, 2017. "Geometrically stopped Markovian random growth processes and Pareto tails," Papers 1712.01431, arXiv.org.
    14. Klaus Adam & Henning Weber, 2018. "Optimal Trend Inflation," CESifo Working Paper Series 7028, CESifo Group Munich.
    15. Heinrich, Torsten, 2016. "The Narrow and the Broad Approach to Evolutionary Modeling in Economics," MPRA Paper 75797, University Library of Munich, Germany.

    More about this item

    Keywords

    firm size distribution; age distribution; firm growth; Gibrat’s law; Pareto distribution; Zipf Law; L20; L25;

    JEL classification:

    • L20 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - General
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

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