IDEAS home Printed from https://ideas.repec.org/p/urb/wpaper/14_05.html
   My bibliography  Save this paper

Chaos in a Model of Credit Cycles with Good and Bad Projects

Author

Listed:
  • Iryna Sushko

    () (Institute of Mathematics NASU and Kyiv School of Economics,Kyiv,Ukraine)

  • Laura Gardini

    () (Department of Economics, Society & Politics, Universit? di Urbino "Carlo Bo")

  • Kiminori Matsuyama

    () (Department of Economics, Northwestern University,Illinois,USA)

Abstract

We consider a credit cycle model introduced by Matsuyama, which is defined by a one-dimensional piecewise smooth map with upward, downward and flat branches. We offer a detailed analysis of this model for the case where asymp- totic dynamics does not involve the flat branch, under the additional assumption that the production function is Cobb-Douglas. In particular, using skew tent map (which is a one-dimensional map defined by two linear functions) as a border collision normal form we obtain conditions of abrupt transition from an attracting fixed point to an attracting cycle or a chaotic attractor (cyclic chaotic intervals). These conditions allow us to describe the overall bifurcation structure of the parameter space of the map in a neighborhood of the boundary related to the border collision bifurcation of the fixed point. Such a structure confirms, in particular, that chaotic attractors of the considered map are robust, that is, they are persistent under parameter perturbations.

Suggested Citation

  • Iryna Sushko & Laura Gardini & Kiminori Matsuyama, 2014. "Chaos in a Model of Credit Cycles with Good and Bad Projects," Working Papers 1405, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2014.
  • Handle: RePEc:urb:wpaper:14_05
    as

    Download full text from publisher

    File URL: http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_14_05.pdf
    File Function: First version, 2014
    Download Restriction: no

    References listed on IDEAS

    as
    1. Cars Hommes & Helena Nusse, 1991. "“Period three to period two” bifurcation for piecewise linear models," Journal of Economics, Springer, vol. 54(2), pages 157-169, June.
    2. Azariadis, Costas & Smith, Bruce, 1998. "Financial Intermediation and Regime Switching in Business Cycles," American Economic Review, American Economic Association, vol. 88(3), pages 516-536, June.
    3. Philippe Aghion & Abhijit Banerjee & Thomas Piketty, 1999. "Dualism and Macroeconomic Volatility," The Quarterly Journal of Economics, Oxford University Press, vol. 114(4), pages 1359-1397.
    4. Kiyotaki, Nobuhiro & Moore, John, 1997. "Credit Cycles," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 211-248, April.
    5. Kiminori Matsuyama, 2007. "Credit Traps and Credit Cycles," American Economic Review, American Economic Association, vol. 97(1), pages 503-516, March.
    6. Matsuyama, Kiminori, 2013. "The good, the bad, and the ugly: An inquiry into the causes and nature of credit cycles," Theoretical Economics, Econometric Society, vol. 8(3), September.
    7. Bernanke, Ben & Gertler, Mark, 1989. "Agency Costs, Net Worth, and Business Fluctuations," American Economic Review, American Economic Association, vol. 79(1), pages 14-31, March.
    8. Hommes, Cars H., 1995. "A reconsideration of Hicks' non-linear trade cycle model," Structural Change and Economic Dynamics, Elsevier, vol. 6(4), pages 435-459, December.
    9. Gardini, Laura & Sushko, Iryna & Naimzada, Ahmad K., 2008. "Growing through chaotic intervals," Journal of Economic Theory, Elsevier, vol. 143(1), pages 541-557, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ingrid Kubin & Thomas O. Zörner, 2017. "Human Capital in a Credit Cycle Model," Department of Economics Working Papers wuwp251, Vienna University of Economics and Business, Department of Economics.
    2. Matsuyama, Kiminori & Sushko, Iryna & Gardini, Laura, 2016. "Revisiting the model of credit cycles with Good and Bad projects," Journal of Economic Theory, Elsevier, vol. 163(C), pages 525-556.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:urb:wpaper:14_05. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Carmela Nicoletti). General contact details of provider: http://edirc.repec.org/data/feurbit.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.