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The dynamics of a banking duopoly with capital regulations

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  • Luciano Fanti

Abstract

We analyse the dynamics of a banking duopoly game with heterogeneous players (as regards the type of expectations' formation), to investigate the effects of the capital requirements introduced by international accords (Basel-I in 1988 and more recently Basel-II and Basel-III), in the context of the Monti-Klein model. This analysis reveals that the policy of introducing a capital requirement may stabilise the market equilibrium. Moreover, we show that when the capital standard is reduced the market stability is lost through a flip bifurcation and subsequently a cascade of flip bifurcations may lead to periodic cycles and chaos. Therefore, although on the one side the capital regulation is harmful for the equilibrium loans' volume and profit, on the other side it is effective in keeping or restoring the stability of the Cournot-Nash equilibrium in the banking duopoly.

Suggested Citation

  • Luciano Fanti, 2012. "The dynamics of a banking duopoly with capital regulations," Discussion Papers 2012/151, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    • Handle: RePEc:pie:dsedps:2012/151
    Note: ISSN 2039-1854
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    Cited by:

    1. Chang, Chuen-Ping & Chen, Shi, 2016. "Government capital injection, credit risk transfer, and bank performance during a financial crisis," Economic Modelling, Elsevier, vol. 53(C), pages 477-486.
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    3. Eleni Dalla, 2017. "Monetary policy implications on the investment decision: Do economies of scope in the banking sector matter?," Discussion Paper Series 2017_05, Department of Economics, University of Macedonia, revised Mar 2017.
    4. Elsadany, A.A., 2017. "Dynamics of a Cournot duopoly game with bounded rationality based on relative profit maximization," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 253-263.
    5. Brianzoni, Serena & Campisi, Giovanni & Colasante, Annarita, 2022. "Nonlinear banking duopoly model with capital regulation: The case of Italy," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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    More about this item

    Keywords

    Bifurcation; Chaos; Cournot; Oligopoly; Banking; Capital regulation.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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