IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v131y2020ics0960077919304163.html
   My bibliography  Save this article

Endogenous desired debt in a Minskyan business model

Author

Listed:
  • Cerboni Baiardi, Lorenzo
  • Naimzada, Ahmad K.
  • Panchuk, Anastasiia

Abstract

We consider a Minskyan type model of a closed economy with autonomous public expenditure formulated in a discrete time framework, where an endogenous debt adjustment process is considered and where income variations account for real world physical and social constraints. The model is characterized by a unique nontrivial fixed point matching the economic equilibrium. We study its stability properties in terms of the constant factor that fixes the firms’ desired debt level at a certain proportion of the current income. The stability loss of the fixed point is associated with either a subcritical flip or a supercritical Neimark–Sacker bifurcation. The latter implies occurrence of self-sustained oscillations interpreted as business cycles. We present three possible dynamic scenarios right after the Neimark–Sacker bifurcation: in a generic case and in two resonant cases. We also describe modifications of the attractor when propensity of firms to get into debt grows. In addition, we highlight that the increase of instabilities and complexities of dynamic outcomes is paired with the rise of the so called financial fragility indicator, which is a measure of fragility of the financial structure of the economy.

Suggested Citation

  • Cerboni Baiardi, Lorenzo & Naimzada, Ahmad K. & Panchuk, Anastasiia, 2020. "Endogenous desired debt in a Minskyan business model," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    • Handle: RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304163
    DOI: 10.1016/j.chaos.2019.109470
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077919304163
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2019.109470?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. Roberto Veneziani & Luca Zamparelli & Maria Nikolaidi & Engelbert Stockhammer, 2017. "Minsky Models: A Structured Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 31(5), pages 1304-1331, December.
    2. Gardini, Laura & Tramontana, Fabio, 2011. "Border collision bifurcation curves and their classification in a family of 1D discontinuous maps," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 248-259.
    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. Mai, Fengxia & Zhang, Jianxiong & Sun, Xiaojie, 2021. "Dynamic analysis of pricing model in a book supply chain," International Journal of Production Economics, Elsevier, vol. 233(C).
    2. Andrea Bacchiocchi & Alessandro Bellocchi & Gian Italo Bischi & Giuseppe Travaglini, 2024. "A non-linear model of public debt with bonds and money finance," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 41(2), pages 457-498, July.

    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. Engelbert Stockhammer & Giorgos Gouzoulis & Rob Calvert Jump, 2019. "Debt-driven business cycles in historical perspective: The cases of the USA (1889-2015) and UK (1882-2010)," Working Papers PKWP1907, Post Keynesian Economics Society (PKES).
    2. Giancarlo Bertocco & Andrea Kalajzić, 2019. "A Keynes + Schumpeter model to explain development, speculation and crises," Working Papers PKWP1916, Post Keynesian Economics Society (PKES).
    3. Serena Sordi & Marwil J. Dávila-Fernández, 2020. "Investment behaviour and “bull & bear” dynamics: modelling real and stock market interactions," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 15(4), pages 867-897, October.
    4. Davis, Leila & de Souza, Joao & Kim, YK. & Rella, Giacomo, 2023. "What are firms borrowing for? The role of financial assets," Economic Modelling, Elsevier, vol. 125(C).
    5. Robert Calvert Jump & Engelbert Stockhammer, 2023. "Building blocks of a heterodox business cycle theory," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 46(2), pages 334-358, April.
    6. Kohler, Karsten, 2019. "Exchange rate dynamics, balance sheet effects, and capital flows. A Minskyan model of emerging market boom-bust cycles," Structural Change and Economic Dynamics, Elsevier, vol. 51(C), pages 270-283.
    7. Yannis Dafermos & Daniela Gabor & Jo Michell, 2023. "Institutional supercycles: an evolutionary macro-finance approach," New Political Economy, Taylor & Francis Journals, vol. 28(5), pages 693-712, September.
    8. Eugenio Caverzasi & Alberto Russo, 2018. "Toward a new microfounded macroeconomics in the wake of the crisis," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 27(6), pages 999-1014.
    9. Pedrosa, Ítalo & Brochier, Lídia & Freitas, Fabio, 2023. "Debt hierarchy: Autonomous demand composition, growth and indebtedness in a Supermultiplier model," Economic Modelling, Elsevier, vol. 126(C).
    10. Ítalo Pedrosa & Dany Lang, 2018. "Heterogeneity, distribution and financial fragility of non-financial firms: an agent-based stock-flow consistent (AB-SFC) model," Working Papers hal-01937186, HAL.
    11. Stockhammer, Engelbert & Calvert Jump, Robert & Kohler, Karsten & Cavallero, Julian, 2019. "Short and medium term financial-real cycles: An empirical assessment," Journal of International Money and Finance, Elsevier, vol. 94(C), pages 81-96.
    12. Charles, Sébastien, 2024. "Does the Eurozone live in a Minskyan world?," Research in Economics, Elsevier, vol. 78(4).
    13. Giovanni Campisi & Silvia Muzzioli & Fabio Tramontana, 2021. "Uncertainty about fundamental and pessimistic traders: a piecewise-linear maps approach," Department of Economics 0186, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    14. Sebastien Charles & Thomas Dallery & Jonathan Marie, 2021. "Teaching the Economic Impact of COVID-19 with a Simple Short-run Macro-model: Simultaneous Supply and Demand Shocks," Review of Political Economy, Taylor & Francis Journals, vol. 33(3), pages 462-479, July.
    15. Datta, Bikramaditya & Sethi, Rajiv, 2023. "The dynamics of leverage and the belief distribution of wealth," Journal of Economic Behavior & Organization, Elsevier, vol. 212(C), pages 20-31.
    16. Naqvi, Asjad & Stockhammer, Engelbert, 2018. "Directed Technological Change in a Post-Keynesian Ecological Macromodel," Ecological Economics, Elsevier, vol. 154(C), pages 168-188.
    17. Juan Laborda & Vicente Salas & Cristina Suárez, 2021. "Financial constraints on R&D projects and minsky moments: containing the credit cycle," Journal of Evolutionary Economics, Springer, vol. 31(4), pages 1089-1111, September.
    18. Roya Makrooni & Laura Gardini, 2015. "Bifurcation structures in a family of one-dimensional linear-power discontinuous maps," Gecomplexity Discussion Paper Series 7, Action IS1104 "The EU in the new complex geography of economic systems: models, tools and policy evaluation", revised Jan 2015.
    19. Giovanni Campisi & Silvia Muzzioli & Fabio Tramontana, 2021. "Uncertainty about fundamental, pessimistic and overconfident traders: a piecewise-linear maps approach," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(2), pages 707-726, December.
    20. Li, Boyao, 2022. "The macroeconomic effects of Basel III regulations with endogenous credit and money creation," MPRA Paper 113873, University Library of Munich, Germany.

    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:eee:chsofr:v:131:y:2020:i:c:s0960077919304163. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.