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Gibrat and Pareto–Zipf revisited with European firms

Author

Listed:
  • Fujiwara, Yoshi
  • Aoyama, Hideaki
  • Di Guilmi, Corrado
  • Souma, Wataru
  • Gallegati, Mauro

Abstract

A firms growth and failure are the two sides of the same coin. This paper reports new phenomenological findings for firm size distribution and growth, and bankruptcy. This paper is based on [Y. Fujiwara et al., Physica A 335 (2004) 197] and on [Y. Fujiwara, Physica A 337 (2004) 219]. See also these proceedings for kinematical relationship between Pareto–Zipf and Gibrat's laws.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:344:y:2004:i:1:p:112-116
    DOI: 10.1016/j.physa.2004.06.098
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    Citations

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    Cited by:

    1. Cirillo, Pasquale & Hüsler, Jürg, 2009. "On the upper tail of Italian firms’ size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1546-1554.
    2. Kang, Sang Hoon & Jiang, Zhuhua & Cheong, Chongcheul & Yoon, Seong-Min, 2011. "Changes of firm size distribution: The case of Korea," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 319-327.
    3. Misako Takayasu & Hayafumi Watanabe & Hideki Takayasu, 2013. "Generalised central limit theorems for growth rate distribution of complex systems," Papers 1301.2728, arXiv.org, revised Jan 2014.
    4. Ikeda, Yuichi & Aoyama, Hideaki & Iyetomi, Hiroshi & Fujiwara, Yoshi & Souma, Wataru & Kaizoji, Taisei, 2007. "Response of firm agent network to exogenous shock," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 138-148.
    5. Hideaki Aoyama & Yoshi Fujiwara & Yuichi Ikeda & Hiroshi Iyetomi & Wataru Souma, 2010. "Econophysics on Real Economy -The First Decade of the Kyoto Econophysics Group-," Papers 1006.5587, arXiv.org, revised Jul 2010.
    6. Sun, Churen & Zhang, Tao, 2012. "Export, Productivity Pattern, and Firm Size Distribution," MPRA Paper 36742, University Library of Munich, Germany.
    7. 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.
    8. Kočišová, J. & Horváth, D. & Brutovský, B., 2009. "The efficiency of individual optimization in the conditions of competitive growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3585-3592.
    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. repec:spr:jeicoo:v:12:y:2017:i:1:d:10.1007_s11403-015-0152-x is not listed on IDEAS
    11. Kuscsik, Zoltán & Horváth, Denis & Gmitra, Martin, 2007. "The critical properties of the agent-based model with environmental–economic interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 199-206.
    12. Guo, Jinzhong & Xu, Qi & Chen, Qinghua & Wang, Yougui, 2013. "Firm size distribution and mobility of the top 500 firms in China, the United States and the world," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(13), pages 2903-2914.
    13. 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.
    14. A. Saichev & Y. Malevergne & D. Sornette, 2008. "Theory of Zipf's Law and of General Power Law Distributions with Gibrat's law of Proportional Growth," Papers 0808.1828, arXiv.org.
    15. Ma, Qi & Chen, Yongwang & Tong, Hui & Di, Zengru, 2008. "Production, depreciation and the size distribution of firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3209-3217.
    16. Wang Dahui & Zhou Li & Di Zengru, 2005. "Bipartite Producer-Consumer Networks and the Size Distribution of Firms," Papers physics/0507163, arXiv.org.
    17. 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.

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