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Firm-size distribution in Poland – is power law applicable?

Author

Listed:
  • Piotr Gabrielczak

    (University of Lodz)

  • Tomasz Serwach

    (University of Lodz)

Abstract

The article focuses on power laws and their growing popularity in science in general and in economics specifically. The theoretical mechanisms responsible for their generating are reviewed. We also empirically test whether firm-size distribution of companies in Poland has the characteristics of the Zipf’s law – a special case of a power law. This is confirmed based on an investigation within the sample of 2000 largest companies and a set of alternative estimators of the power law exponent.

Suggested Citation

  • Piotr Gabrielczak & Tomasz Serwach, 2019. "Firm-size distribution in Poland – is power law applicable?," Lodz Economics Working Papers 3/2019, University of Lodz, Faculty of Economics and Sociology.
    • Handle: RePEc:ann:wpaper:3/2019
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    File URL: http://hdl.handle.net/11089/30229
    File Function: First version, 2019
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    References listed on IDEAS

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    1. Xavier Gabaix & Augustin Landier, 2008. "Why has CEO Pay Increased So Much?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 49-100.
    2. Anthony B. Atkinson & Thomas Piketty & Emmanuel Saez, 2011. "Top Incomes in the Long Run of History," Journal of Economic Literature, American Economic Association, vol. 49(1), pages 3-71, March.
    3. di Giovanni, Julian & Levchenko, Andrei A. & Rancière, Romain, 2011. "Power laws in firm size and openness to trade: Measurement and implications," Journal of International Economics, Elsevier, vol. 85(1), pages 42-52, September.
    4. Robert E. Lucas Jr. & Benjamin Moll, 2014. "Knowledge Growth and the Allocation of Time," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 1-51.
    5. Ali Mehri & Sahar Mohammadpour Lashkari, 2016. "Power-law regularities in human language," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(11), pages 1-6, November.
    6. Jess Benhabib & Alberto Bisin & Shenghao Zhu, 2011. "The Distribution of Wealth and Fiscal Policy in Economies With Finitely Lived Agents," Econometrica, Econometric Society, vol. 79(1), pages 123-157, January.
    7. S. Redner, 1998. "How popular is your paper? An empirical study of the citation distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 4(2), pages 131-134, July.
    8. Xavier Gabaix & Rustam Ibragimov, 2011. "Rank - 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 24-39, January.
    9. di Giovanni, Julian & Levchenko, Andrei A., 2013. "Firm entry, trade, and welfare in Zipf's world," Journal of International Economics, Elsevier, vol. 89(2), pages 283-296.
    10. Thomas Piketty & Gabriel Zucman, 2014. "Capital is Back: Wealth-Income Ratios in Rich Countries 1700–2010," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(3), pages 1255-1310.
    11. Rosen, Kenneth T. & Resnick, Mitchel, 1980. "The size distribution of cities: An examination of the Pareto law and primacy," Journal of Urban Economics, Elsevier, vol. 8(2), pages 165-186, September.
    12. Alexis Akira Toda & Kieran Walsh, 2015. "The Double Power Law in Consumption and Implications for Testing Euler Equations," Journal of Political Economy, University of Chicago Press, vol. 123(5), pages 1177-1200.
    13. Xavier Gabaix, 2016. "Power Laws in Economics: An Introduction," Journal of Economic Perspectives, American Economic Association, vol. 30(1), pages 185-206, Winter.
    14. Xavier Gabaix, 2011. "The Granular Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(3), pages 733-772, May.
    15. Leo Egghe, 2000. "The Distribution of N-Grams," Scientometrics, Springer;Akadémiai Kiadó, vol. 47(2), pages 237-252, February.
    16. Thorbjørn Knudsen, 2001. "Zipf's Law for Cities and Beyond: The Case of Denmark," American Journal of Economics and Sociology, Wiley Blackwell, vol. 60(1), pages 123-146, January.
    17. Soo, Kwok Tong, 2005. "Zipf's Law for cities: a cross-country investigation," Regional Science and Urban Economics, Elsevier, vol. 35(3), pages 239-263, May.
    18. Arshad, Sidra & Hu, Shougeng & Ashraf, Badar Nadeem, 2018. "Zipf’s law and city size distribution: A survey of the literature and future research agenda," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 75-92.
    19. Rosen, Sherwin, 1981. "The Economics of Superstars," American Economic Review, American Economic Association, vol. 71(5), pages 845-858, December.
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    More about this item

    Keywords

    power law; Zipf’s law; firm-size distribution; scaling;
    All these keywords.

    JEL classification:

    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • D39 - Microeconomics - - Distribution - - - Other
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

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