IDEAS home Printed from https://ideas.repec.org/a/spr/decfin/v41y2018i2d10.1007_s10203-018-0220-5.html
   My bibliography  Save this article

A piecewise linear model of credit traps and credit cycles: a complete characterization

Author

Listed:
  • Kiminori Matsuyama

    (Northwestern University)

  • Iryna Sushko

    (Kyiv School of Economics
    National Academy of Sciences of Ukraine)

  • Laura Gardini

    (University of Urbino)

Abstract

We reconsider a regime-switching model of credit frictions which has been proposed in a general framework by Matsuyama for the case of Cobb–Douglas production functions. This results in a piecewise linear map with two discontinuity points and all three branches having the same slope. We offer a complete characterization of the bifurcation structure in the parameter space, as well as of the attracting sets and related basins of attraction in the phase space. We also discuss parameter regions associated with overshooting, leapfrogging, poverty traps, reversal of fortune and growth miracle, as well as cycles with any kind of switching between the expansionary and contractionary phases.

Suggested Citation

  • Kiminori Matsuyama & Iryna Sushko & Laura Gardini, 2018. "A piecewise linear model of credit traps and credit cycles: a complete characterization," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 119-143, November.
    • Handle: RePEc:spr:decfin:v:41:y:2018:i:2:d:10.1007_s10203-018-0220-5
    DOI: 10.1007/s10203-018-0220-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10203-018-0220-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10203-018-0220-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gardini, Laura & Merlone, Ugo & Tramontana, Fabio, 2011. "Inertia in binary choices: Continuity breaking and big-bang bifurcation points," Journal of Economic Behavior & Organization, Elsevier, vol. 80(1), pages 153-167.
    2. Tramontana, Fabio & Gardini, Laura & Agliari, Anna, 2011. "Endogenous cycles in discontinuous growth models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(8), pages 1625-1639.
    3. Kiminori Matsuyama, 2008. "Aggregate Implications of Credit Market Imperfections," NBER Chapters, in: NBER Macroeconomics Annual 2007, Volume 22, pages 1-60, National Bureau of Economic Research, Inc.
    4. 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.
    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. Nivedita Mukherji, 2022. "Complex dynamics in the market for loans," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(1), pages 83-99, June.
    2. Asano Takao & Yokoo Masanori & Shibata Akihisa, 2023. "Middle-income traps and complexity in economic development," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 27(4), pages 553-565, September.
    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. Jos'e Pedro Gaiv~ao & Benito Pires, 2022. "Chaotic time series in financial processes consisting of savings with piecewise constant monthly contributions," Papers 2206.11933, arXiv.org, revised Feb 2023.
    5. Takao Asano & Akihisa Shibata & Masanori Yokoo, 2023. "Controlling Chaotic Fluctuations through Monetary Policy," KIER Working Papers 1091, Kyoto University, Institute of Economic Research.
    6. Mikhail Anufriev & Davide Radi & Fabio Tramontana, 2018. "Some reflections on past and future of nonlinear dynamics in economics and finance," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 91-118, November.

    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. Kiminori Matsuyama & Iryna Sushko & Laura Gardini, 2018. "A piecewise linear model of credit traps and credit cycles: a complete characterization," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 119-143, November.
    2. Kubin, Ingrid & Zörner, Thomas O. & Gardini, Laura & Commendatore, Pasquale, 2019. "A credit cycle model with market sentiments," Structural Change and Economic Dynamics, Elsevier, vol. 50(C), pages 159-174.
    3. Hirano, Tomohiro & Inaba, Masaru & Yanagawa, Noriyuki, 2015. "Asset bubbles and bailouts," Journal of Monetary Economics, Elsevier, vol. 76(S), pages 71-89.
    4. Philip L. Brock, 2009. "Collateral Constraints and Macroeconomic Adjustment in an Open Economy," Working Papers UWEC-2009-03, University of Washington, Department of Economics.
    5. Hejie Zhang & Huiming Lv & Shenghau Lin, 2021. "Financial Development, Saving Rates, and International Economic Volatility: A Simple Model," Mathematics, MDPI, vol. 9(16), pages 1-20, August.
    6. Ugo Merlone & Daren Sandbank & Ferenc Szidarovszky, 2013. "Equilibria analysis in social dilemma games with Skinnerian agents," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 12(2), pages 219-233, November.
    7. Liang, Yan, 2022. "Impact of financial development on outsourcing and aggregate productivity," Journal of Development Economics, Elsevier, vol. 154(C).
    8. Clemens, Christiane & Heinemann, Maik, 2010. "On entrepreneurial risk-taking and the macroeconomic effects of financial constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1610-1626, September.
    9. Brito, Paulo B. & Costa, Luís F. & Dixon, Huw, 2013. "Non-smooth dynamics and multiple equilibria in a Cournot–Ramsey model with endogenous markups," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2287-2306.
    10. Fecht, Falko & Grüner, Hans Peter & Hartmann, Philipp, 2012. "Financial integration, specialization, and systemic risk," Journal of International Economics, Elsevier, vol. 88(1), pages 150-161.
    11. Cuong Le Van & Ngoc-Sang Pham, 2016. "Intertemporal equilibrium with financial asset and physical capital," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 155-199, June.
    12. Gabriel Jiménez & Steven Ongena & José‐Luis Peydró & Jesús Saurina, 2014. "Hazardous Times for Monetary Policy: What Do Twenty‐Three Million Bank Loans Say About the Effects of Monetary Policy on Credit Risk‐Taking?," Econometrica, Econometric Society, vol. 82(2), pages 463-505, March.
    13. Elena Olmedo, 2014. "Forecasting Spanish Unemployment Using Near Neighbour and Neural Net Techniques," Computational Economics, Springer;Society for Computational Economics, vol. 43(2), pages 183-197, February.
    14. Crinò, Rosario & Ogliari, Laura, 2015. "Financial Frictions, Product Quality, and International Trade," CEPR Discussion Papers 10555, C.E.P.R. Discussion Papers.
    15. Shengxing Zhang & Nobuhiro Kiyotaki, 2017. "Intangibles, Inequality and Stagnation," 2017 Meeting Papers 1414, Society for Economic Dynamics.
    16. Jean-Paul L'Huillier & Sanjay R. Singh & Donghoon Yoo, 2021. "Incorporating Diagnostic Expectations into the New Keynesian Framework," Working Papers 339, University of California, Davis, Department of Economics.
    17. David Brasington & Mika Kato & Willi Semmler, 2010. "Transitioning Out Of Poverty," Metroeconomica, Wiley Blackwell, vol. 61(1), pages 68-95, February.
    18. ,, 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.
    19. Chen, Jinzhao & Quang, Thérèse, 2014. "The impact of international financial integration on economic growth: New evidence on threshold effects," Economic Modelling, Elsevier, vol. 42(C), pages 475-489.
    20. Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2010. "On the complicated price dynamics of a simple one-dimensional discontinuous financial market model with heterogeneous interacting traders," Journal of Economic Behavior & Organization, Elsevier, vol. 74(3), pages 187-205, June.

    More about this item

    Keywords

    Macroeconomic model of credit frictions; Poverty traps; Growth miracle; One-dimensional piecewise linear map; Border collision bifurcation;
    All these keywords.

    JEL classification:

    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    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:spr:decfin:v:41:y:2018:i:2:d:10.1007_s10203-018-0220-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.