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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
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    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.
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    Cited by:

    1. 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.

    More about this item

    Keywords

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

    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

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