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Dependence of the decay rate of firm activities on firm age

Author

Listed:
  • Atushi Ishikawa

    (Kanazawa Gakuin University)

  • Shouji Fujimoto

    (Kanazawa Gakuin University)

  • Takayuki Mizuno

    (National Institute of Informatics
    The Graduate University for Advanced Studies [SOKENDAI]
    JST PRESTO)

  • Tsutomu Watanabe

    (University of Tokyo)

Abstract

Using the ORBIS database that contains around 150 million firm-size data from all over the world, we investigated firm activity data in Germany, Spain, France, the United Kingdom, Italy, Japan, Korea, and the Netherlands and found that the decay rate of firm activities does not depend on firm age in Spain as in Japan. But in Germany, France, the United Kingdom, Italy, Korea, and the Netherlands, the decay rate of young firms is high and becomes lower and settles at a constant value as firms age. By approximating the decay rate of firm activities by an exponential function, we analytically derived the firm age distribution under the assumptions that the number of firms that is established annually is nearly constant and that the decay rate of firm activities does not change annually. Using empirical data from eight countries, we compared the parameters estimated by the decay rate of the firm activities with those by firm age distribution. Except in Spain and Germany, the two kinds of parameters estimated in two different ways were close to each other.

Suggested Citation

  • Atushi Ishikawa & Shouji Fujimoto & Takayuki Mizuno & Tsutomu Watanabe, 2017. "Dependence of the decay rate of firm activities on firm age," Evolutionary and Institutional Economics Review, Springer, vol. 14(2), pages 351-362, December.
    • Handle: RePEc:spr:eaiere:v:14:y:2017:i:2:d:10.1007_s40844-017-0084-3
    DOI: 10.1007/s40844-017-0084-3
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    References listed on IDEAS

    as
    1. Fujiwara, Yoshi, 2004. "Zipf law in firms bankruptcy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 219-230.
    2. Coad, Alex, 2010. "Investigating the exponential age distribution of firms," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 4, pages 1-30.
    3. Dongfeng Fu & Fabio Pammolli & S. V. Buldyrev & Massimo Riccaboni & Kaushik Matia & Kazuko Yamasaki & H. E. Stanley, 2005. "The Growth of Business Firms: Theoretical Framework and Empirical Evidence," Papers physics/0512005, arXiv.org.
    4. Zhang, Jianhua & Chen, Qinghua & Wang, Yougui, 2009. "Zipf distribution in top Chinese firms and an economic explanation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2020-2024.
    5. 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.
    6. Aoyama, Hideaki & Souma, Wataru & Fujiwara, Yoshi, 2003. "Growth and fluctuations of personal and company's income," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 352-358.
    7. Giulio Bottazzi & Angelo Secchi & Federico Tamagni, 2008. "Productivity, profitability and financial performance," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 17(4), pages 711-751, August.
    8. 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.
    9. Mantegna,Rosario N. & Stanley,H. Eugene, 2007. "Introduction to Econophysics," Cambridge Books, Cambridge University Press, number 9780521039871, January.
    10. Fujiwara, Yoshi & Di Guilmi, Corrado & Aoyama, Hideaki & Gallegati, Mauro & Souma, Wataru, 2004. "Do Pareto–Zipf and Gibrat laws hold true? An analysis with European firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(1), pages 197-216.
    11. Fujiwara, Yoshi & Souma, Wataru & Aoyama, Hideaki & Kaizoji, Taisei & Aoki, Masanao, 2003. "Growth and fluctuations of personal income," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 598-604.
    12. Ishikawa, Atushi, 2006. "Derivation of the distribution from extended Gibrat's law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 425-434.
    13. Moshe Levy & Sorin Solomon, 1996. "Power Laws Are Logarithmic Boltzmann Laws," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 595-601.
    14. Ishikawa, Atushi, 2006. "Annual change of Pareto index dynamically deduced from the law of detailed quasi-balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 525-535.
    15. Aoyama,Hideaki & Fujiwara,Yoshi & Ikeda,Yuichi & Iyetomi,Hiroshi & Souma,Wataru Preface by-Name:Yoshikawa,Hiroshi, 2011. "Econophysics and Companies," Cambridge Books, Cambridge University Press, number 9781107403482, January.
    16. 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.
    17. Boris Podobnik & Davor Horvatic & Alexander M. Petersen & Branko Urov{s}evi'c & H. Eugene Stanley, 2010. "Bankruptcy risk model and empirical tests," Papers 1011.2670, arXiv.org.
    18. Ishikawa, Atushi & Fujimoto, Shouji & Mizuno, Takayuki, 2011. "Shape of growth-rate distribution determines the type of Non-Gibrat’s Property," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4273-4285.
    19. Atushi Ishikawa, 2007. "The uniqueness of company size distribution function from tent-shaped growth rate distribution," Papers physics/0702248, arXiv.org.
    20. Ishikawa, Atushi, 2007. "The uniqueness of firm size distribution function from tent-shaped growth rate distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 79-84.
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    Cited by:

    1. Atushi Ishikawa & Shouji Fujimoto & Takayuki Mizuno, 2019. "Statistical law observed in inactive rate of firms," Evolutionary and Institutional Economics Review, Springer, vol. 16(1), pages 201-212, June.

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    More about this item

    Keywords

    Econophysics; Firm age distribution; Decay rate of firm activity; Dr. Jun-ichi Inoue;
    All these keywords.

    JEL classification:

    • D3 - Microeconomics - - Distribution

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