IDEAS home Printed from https://ideas.repec.org/p/kyo/wpaper/967.html
   My bibliography  Save this paper

Chaotic Dynamics of a Piecewise Linear Model of Credit Cycles with Imperfect Observability

Author

Listed:
  • Takao Asano

    (Okayama University)

  • Masanori Yokoo

    (Okayama University)

Abstract

By incorporating information imperfection into the model of Asano et al. (2012), which is a special case of Matsuyama's (2007) model, we develop a model of endogenous business cycles to analyze how information imperfection affects the dynamic nature of the model. Some sort of "noise" representing information imperfection is shown to transform Matsuyama's model into a continuous, eventually expanding, piecewise linear map on the interval with the Markov property, which implies the occurrence of observable chaotic dynamics in our setting. Unlike the models of Asano et al. (2012) and Matsuyama (2007), our model deals with observable chaos for a large set of parameter values.

Suggested Citation

  • Takao Asano & Masanori Yokoo, 2017. "Chaotic Dynamics of a Piecewise Linear Model of Credit Cycles with Imperfect Observability," KIER Working Papers 967, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:967
    as

    Download full text from publisher

    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP967.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yokoo, Masanori & Ishida, Junichiro, 2008. "Misperception-driven chaos: Theory and policy implications," Journal of Economic Dynamics and Control, Elsevier, vol. 32(6), pages 1732-1753, June.
    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.
    3. Matsumoto, Akio, 2005. "Density function of piecewise linear transformation," Journal of Economic Behavior & Organization, Elsevier, vol. 56(4), pages 631-653, April.
    4. Richard H. Day, 1983. "The Emergence of Chaos from Classical Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 201-213.
    5. Matsumoto, Akio, 2001. "Can inventory chaos be welfare improving," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 31-43, May.
    6. Brock, William A., 1975. "A simple perfect foresight monetary model," Journal of Monetary Economics, Elsevier, vol. 1(2), pages 133-150, April.
    7. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    8. Kiminori Matsuyama, 2007. "Credit Traps and Credit Cycles," American Economic Review, American Economic Association, vol. 97(1), pages 503-516, March.
    9. Myerson, Roger B., 2014. "Moral-hazard credit cycles with risk-averse agents," Journal of Economic Theory, Elsevier, vol. 153(C), pages 74-102.
    10. Yokoo, Masanori, 2000. "Chaotic dynamics in a two-dimensional overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 909-934, June.
    11. Kiminori Matsuyama, 1999. "Growing Through Cycles," Econometrica, Econometric Society, vol. 67(2), pages 335-348, March.
    12. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
    13. Roger B. Myerson, 2012. "A Model of Moral-Hazard Credit Cycles," Journal of Political Economy, University of Chicago Press, vol. 120(5), pages 847-878.
    14. Huang, Weihong, 2005. "On the statistical dynamics of economics," Journal of Economic Behavior & Organization, Elsevier, vol. 56(4), pages 543-565, April.
    15. Ishida, Junichiro & Yokoo, Masanori, 2004. "Threshold nonlinearities and asymmetric endogenous business cycles," Journal of Economic Behavior & Organization, Elsevier, vol. 54(2), pages 175-189, June.
    16. Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-414, June.
    17. 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)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Asano, Takao & Yokoo, Masanori, 2019. "Chaotic dynamics of a piecewise linear model of credit cycles," Journal of Mathematical Economics, Elsevier, vol. 80(C), pages 9-21.
    2. Hashimoto, Ken-ichi & Im, Ryonghun & Kunieda, Takuma & Shibata, Akihisa, 2022. "Financial destabilization," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    3. Takao Asano & Akihisa Shibata & Masanori Yokoo, 2024. "Technology choice, externalities in production, and a chaotic middle-income trap," Journal of Economics, Springer, vol. 141(1), pages 29-56, January.
    4. 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.
    5. Gardini, Laura & Radi, Davide & Schmitt, Noemi & Sushko, Iryna & Westerhoff, Frank, 2023. "Sentiment-driven business cycle dynamics: An elementary macroeconomic model with animal spirits," Journal of Economic Behavior & Organization, Elsevier, vol. 210(C), pages 342-359.
    6. Umezuki, Yosuke & Yokoo, Masanori, 2019. "A simple model of growth cycles with technology choice," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 164-175.
    7. Yokoo, Masanori & Ishida, Junichiro, 2008. "Misperception-driven chaos: Theory and policy implications," Journal of Economic Dynamics and Control, Elsevier, vol. 32(6), pages 1732-1753, June.
    8. Vesna D. Jablanovic, 2013. "The Nonlinear Real Exchange Rate Growth Model," Indian Journal of Commerce and Management Studies, Educational Research Multimedia & Publications,India, vol. 4(2), pages 12-15, May.
    9. repec:ipg:wpaper:2014-461 is not listed on IDEAS
    10. Alexeeva, Tatyana A. & Kuznetsov, Nikolay V. & Mokaev, Timur N., 2021. "Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    11. Gupta, Rangan & Stander, Lardo, 2018. "Endogenous fluctuations in an endogenous growth model: An analysis of inflation targeting as a policy," The Quarterly Review of Economics and Finance, Elsevier, vol. 69(C), pages 1-8.
    12. Tramontana, Fabio & Sushko, Iryna & Avrutin, Viktor, 2015. "Period adding structure in a 2D discontinuous model of economic growth," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 262-273.
    13. Rangan Gupta & Lardo Stander, 2014. "Endogenous Fluctuations in an Endogenous Growth Model with Inflation Targeting," Working Papers 201432, University of Pretoria, Department of Economics.
    14. Schmitt, Noemi & Tuinstra, Jan & Westerhoff, Frank, 2017. "Side effects of nonlinear profit taxes in an evolutionary market entry model: Abrupt changes, coexisting attractors and hysteresis problems," Journal of Economic Behavior & Organization, Elsevier, vol. 135(C), pages 15-38.
    15. M. Burton, 1993. "Some Illustrations Of Chaos In Commodity Models," Journal of Agricultural Economics, Wiley Blackwell, vol. 44(1), pages 38-50, January.
    16. 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.
    17. Philippe Michel & Bertrand Wigniolle, 1993. "Une présentation simple des dynamiques complexes," Revue Économique, Programme National Persée, vol. 44(5), pages 885-912.
    18. A. Corcos & J-P Eckmann & A. Malaspinas & Y. Malevergne & D. Sornette, 2002. "Imitation and contrarian behaviour: hyperbolic bubbles, crashes and chaos," Quantitative Finance, Taylor & Francis Journals, vol. 2(4), pages 264-281.
    19. Huang, Weihong, 1995. "Caution implies profit," Journal of Economic Behavior & Organization, Elsevier, vol. 27(2), pages 257-277, July.
    20. Tramontana, F. & Gardini, L. & Ferri, P., 2010. "The dynamics of the NAIRU model with two switching regimes," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 681-695, April.
    21. Akhmet, Marat & Akhmetova, Zhanar & Fen, Mehmet Onur, 2014. "Chaos in economic models with exogenous shocks," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 95-108.

    More about this item

    Keywords

    Matsuyama model; credit cycle; piecewise linearity; chaotic dynamics; ergodic chaos;
    All these keywords.

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O14 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Industrialization; Manufacturing and Service Industries; Choice of Technology
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:kyo:wpaper:967. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Makoto Watanabe (email available below). General contact details of provider: https://edirc.repec.org/data/iekyojp.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.