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Zipf law in firms bankruptcy

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  • Fujiwara, Yoshi

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 an 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

  • Fujiwara, Yoshi, 2004. "Zipf law in firms bankruptcy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 219-230.
  • Handle: RePEc:eee:phsmap:v:337:y:2004:i:1:p:219-230
    DOI: 10.1016/j.physa.2004.01.037
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    Citations

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    Cited by:

    1. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    2. Dosi, Giovanni & Fagiolo, Giorgio & Napoletano, Mauro & Roventini, Andrea, 2013. "Income distribution, credit and fiscal policies in an agent-based Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 37(8), pages 1598-1625.
    3. Giovanni Dosi & Giorgio Fagiolo & Mauro Napoletano & Andrea Roventini, 2012. "Economic policies with endogenous innovation and Keynesian demand management," Chapters,in: What’s Right with Macroeconomics?, chapter 5, pages 110-148 Edward Elgar Publishing.
    4. Estrada, Fernando, 2011. "Theory of financial risk," MPRA Paper 29665, University Library of Munich, Germany.
    5. Bianchi, Carlo & Cirillo, Pasquale & Gallegati, Mauro & Vagliasindi, Pietro A., 2008. "Validation in agent-based models: An investigation on the CATS model," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 947-964, September.
    6. 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.
    7. 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.
    8. Carlo Bianchi & Pasquale Cirillo & Mauro Gallegati & Pietro Vagliasindi, 2007. "Validating and Calibrating Agent-Based Models: A Case Study," Computational Economics, Springer;Society for Computational Economics, vol. 30(3), pages 245-264, October.
    9. Wright, Ian, 2009. "Implicit Microfoundations for Macroeconomics," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 3, pages 1-27.
    10. Simos Meintanis, 2009. "A unified approach of testing for discrete and continuous Pareto laws," Statistical Papers, Springer, vol. 50(3), pages 569-580, June.
    11. Estrada, Fernando, 2014. "Rescue costs and financial risk," MPRA Paper 59066, University Library of Munich, Germany.
    12. Davide Fiaschi & Imre Kondor & Matteo Marsili & Valerio Volpati, 2013. "The Interrupted Power Law and The Size of Shadow Banking," Papers 1309.2130, arXiv.org, revised Apr 2014.
    13. repec:eee:phsmap:v:499:y:2018:i:c:p:436-442 is not listed on IDEAS
    14. He, Fang & Chen, Xi, 2016. "Credit networks and systemic risk of Chinese local financing platforms: Too central or too big to fail?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 158-170.
    15. Estrada, Fernando, 2014. "Rescate y costos del riesgo financiero
      [Rescue costs and financial risk]
      ," MPRA Paper 58848, University Library of Munich, Germany.
    16. Estrada, Fernando, 2009. "Tamaño y Riesgo en los Mercados Financieros
      [Size and Risk in the Finanzal Markets]
      ," MPRA Paper 19267, University Library of Munich, Germany.
    17. G. De Masi & Y. Fujiwara & M. Gallegati & B. Greenwald & J. E. Stiglitz, 2009. "An Analysis of the Japanese Credit Network," Papers 0901.2384, arXiv.org, revised Nov 2010.
    18. Taleb, Nassim N. & Tapiero, Charles S., 2010. "Risk externalities and too big to fail," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3503-3507.
    19. Pasquale Cirillo & Mauro Gallegati, 2012. "The Empirical Validation of an Agent-based Model," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 38(4), pages 525-547.

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