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Non-performing loans, expectations and banking stability: A dynamic model

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  • Bacchiocchi, Andrea
  • Bischi, Gian Italo
  • Giombini, Germana

Abstract

This paper proposes dynamic oligopolistic models to describe heterogenous banks that compete in the loan market. Two boundedly rational banks adopt an adaptive behavior to increase their profits under different assumptions of limited information and bounded computational ability, in the presence of a share of credits that might not be reimbursed (i.e. non-performing loans). Each Nash equilibrium is an equilibrium point of the dynamic adjustments as well. Thus, the repeated strategic interactions between banks may converge to a rational equilibrium according to the parameters’ values and the initial conditions.

Suggested Citation

  • Bacchiocchi, Andrea & Bischi, Gian Italo & Giombini, Germana, 2022. "Non-performing loans, expectations and banking stability: A dynamic model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001163
    DOI: 10.1016/j.chaos.2022.111906
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    1. Fabiano Schivardi & Enrico Sette & Guido Tabellini, 2022. "Credit Misallocation During the European Financial Crisis," The Economic Journal, Royal Economic Society, vol. 132(641), pages 391-423.
    2. Mr. Anil Ari & Sophia Chen & Mr. Lev Ratnovski, 2019. "The Dynamics of Non-Performing Loans during Banking Crises: A New Database," IMF Working Papers 2019/272, International Monetary Fund.
    3. Zhang, Dayong & Hu, Min & Ji, Qiang, 2020. "Financial markets under the global pandemic of COVID-19," Finance Research Letters, Elsevier, vol. 36(C).
    4. Puu, T., 1998. "The chaotic duopolists revisited," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 385-394, January.
    5. Florian LEON, 2014. "Measuring competition in banking: A critical review of methods," Working Papers 201412, CERDI.
    6. Bernanke, Ben S & Blinder, Alan S, 1988. "Credit, Money, and Aggregate Demand," American Economic Review, American Economic Association, vol. 78(2), pages 435-439, May.
    7. Agliari, Anna & Gardini, Laura & Puu, Tönu, 2005. "Some global bifurcations related to the appearance of closed invariant curves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(3), pages 201-219.
    8. Robert L. Clark & Annamaria Lusardi & Olivia S. Mitchell, 2021. "Financial Fragility during the COVID-19 Pandemic," AEA Papers and Proceedings, American Economic Association, vol. 111, pages 292-296, May.
    9. G.‐I. Bischi & M. Gallegati & A. Naimzada, 1999. "Symmetry‐breaking bifurcations and representativefirm in dynamic duopoly games," Annals of Operations Research, Springer, vol. 89(0), pages 252-271, January.
    10. Dean Karlan & Jonathan Zinman, 2019. "Long-Run Price Elasticities of Demand for Credit: Evidence from a Countrywide Field Experiment in Mexico," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(4), pages 1704-1746.
    11. Emmanuel Farhi & Iván Werning, 2019. "Monetary Policy, Bounded Rationality, and Incomplete Markets," American Economic Review, American Economic Association, vol. 109(11), pages 3887-3928, November.
    12. Jézabel Couppey-Soubeyran & Erica Perego & Fabien Tripier, 2020. "European Banks and the Covid-19 Crash Test," EconPol Policy Brief 30, ifo Institute - Leibniz Institute for Economic Research at the University of Munich.
    13. Wagner, Wolf, 2007. "The liquidity of bank assets and banking stability," Journal of Banking & Finance, Elsevier, vol. 31(1), pages 121-139, January.
    14. Ratnovski, Lev, 2020. "COVID-19 and non-performing loans: lessons from past crises," Research Bulletin, European Central Bank, vol. 71.
    15. Ryan Niladri Banerjee & Giulio Cornelli & Egon Zakrajšek, 2020. "The outlook for business bankruptcies," BIS Bulletins 30, Bank for International Settlements.
    16. Goodell, John W., 2020. "COVID-19 and finance: Agendas for future research," Finance Research Letters, Elsevier, vol. 35(C).
    17. Dana, Rose-Anne & Montrucchio, Luigi, 1986. "Dynamic complexity in duopoly games," Journal of Economic Theory, Elsevier, vol. 40(1), pages 40-56, October.
    18. Rand, David, 1978. "Exotic phenomena in games and duopoly models," Journal of Mathematical Economics, Elsevier, vol. 5(2), pages 173-184, September.
    19. Gian Italo Bischi & Carl Chiarella & Michael Kopel & Ferenc Szidarovszky, 2010. "Nonlinear Oligopolies," Springer Books, Springer, number 978-3-642-02106-0, November.
    20. Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-122, February.
    21. Giorgio Calcagnini & Rebel Cole & Germana Giombini & Gloria Grandicelli, 2018. "Hierarchy of bank loan approval and loan performance," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 35(3), pages 935-954, December.
    22. Calice,Pietro & Leonida,Leone, 2018. "Concentration in the Banking Sector and Financial Stability : New Evidence," Policy Research Working Paper Series 8615, The World Bank.
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    Cited by:

    1. Anju Goswami, 2023. "COVID-19: boon/disguise for Indian banks?," Journal of Banking Regulation, Palgrave Macmillan, vol. 24(4), pages 381-402, December.

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    More about this item

    Keywords

    Oligopolistic banking model; Non-performing loans; Discrete dynamical system; Bounded rationality; Non-linearity;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • E51 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Money Supply; Credit; Money Multipliers

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