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Pareto index induced from the scale of companies

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  • Ishikawa, Atushi

Abstract

Employing profits data of Japanese companies in 2002 and 2003, we confirm that Pareto's law and the Pareto index are derived from the law of detailed balance and Gibrat's law. The last two laws are observed beyond the region where Pareto's law holds. By classifying companies into job categories, we find that companies in a small-scale job category have more possibilities of growing than those in a large-scale job category. This kinematically explains that the Pareto index for the companies in the small-scale job class is larger than that for the companies in the large-scale job class.

Suggested Citation

  • Ishikawa, Atushi, 2006. "Pareto index induced from the scale of companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 367-376.
  • Handle: RePEc:eee:phsmap:v:363:y:2006:i:2:p:367-376
    DOI: 10.1016/j.physa.2005.08.038
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    References listed on IDEAS

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    1. Fujiwara, Yoshi & Aoyama, Hideaki & Di Guilmi, Corrado & Souma, Wataru & Gallegati, Mauro, 2004. "Gibrat and Pareto–Zipf revisited with European firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 112-116.
    2. 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.
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    Cited by:

    1. McKelvey Bill, 2016. "Complexity Ingredients Required For Entrepreneurial Success," Entrepreneurship Research Journal, De Gruyter, vol. 6(1), pages 53-73, January.
    2. Bill McKelvey & Benyamin B. Lichtenstein & Pierpaolo Andriani, 2012. "When organisations and ecosystems interact: toward a law of requisite fractality in firms," International Journal of Complexity in Leadership and Management, Inderscience Enterprises Ltd, vol. 2(1/2), pages 104-136.
    3. repec:spr:jeicoo:v:12:y:2017:i:1:d:10.1007_s11403-015-0152-x is not listed on IDEAS
    4. Ramón Rufín & Cayetano Medina, 2008. "Market delimitation, firm survival and growth in service industries," The Service Industries Journal, Taylor & Francis Journals, vol. 30(9), pages 1401-1417, September.
    5. Mary Han & Bill McKelvey, 2016. "How to Grow Successful Social Entrepreneurship Firms? Key Ideas from Complexity Theory," Journal of Enterprising Culture (JEC), World Scientific Publishing Co. Pte. Ltd., vol. 24(03), pages 243-280, September.

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