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Zipf Law in Firms Bankruptcy

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  • Yoshi Fujiwara

Abstract

Using an exhaustive list of Japanese bankruptcy in 1997, we discover a Zipf law for the distribution of total liabilities of bankrupted firms in high debt range. The life-time of these bankrupted firms has exponential distribution in correlation with entry rate of new firms. We also show that the debt and size are highly correlated, so the Zipf law holds consistently with that for size distribution. In attempt to understand ``physics'' of bankruptcy, we show that a model of debtor-creditor dynamics of firms and a bank, recently proposed by economists, can reproduce these phenomenological findings.

Suggested Citation

  • Yoshi Fujiwara, 2003. "Zipf Law in Firms Bankruptcy," Papers cond-mat/0310062, arXiv.org.
  • Handle: RePEc:arx:papers:cond-mat/0310062
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    Cited by:

    1. Wright, Ian, 2009. "Implicit Microfoundations for Macroeconomics," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-27.
    2. Domenico Delli Gatti & Corrado Di Guilmi & Edoardo Gaffeo & Gianfranco Giulioni & Mauro Gallegati & Antonio Palestrini, 2004. "Business Cycle Fluctuations And Firms’ Size Distribution Dynamics," World Scientific Book Chapters, in: Roberto Leombruni & Matteo Richiardi (ed.), Industry And Labor Dynamics The Agent-Based Computational Economics Approach, chapter 10, pages 199-221, World Scientific Publishing Co. Pte. Ltd..
    3. Pascal Seppecher & Isabelle Salle, 2015. "Deleveraging crises and deep recessions: a behavioural approach," Applied Economics, Taylor & Francis Journals, vol. 47(34-35), pages 3771-3790, July.
    4. D. Delli Gatti & C. Di Guilmi & M. Gallegati & E. Gaffeo & G. Giulioni & A. Palestrini, 2008. "Scaling Laws In The Macroeconomy," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 131-138.

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