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Nonlinear banking duopoly model with capital regulation: The case of Italy

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  • Brianzoni, Serena
  • Campisi, Giovanni
  • Colasante, Annarita

Abstract

We analyse a nonlinear banking duopoly model with capital regulation and asymmetric costs. We follow the literature on banking and capital regulation focusing on Italian banks. We extend the banking duopoly model with nonlinear costs of Brianzoni and Campisi (2021), by introducing the hyperbolic inverse demand function, following Puu (1991). In this way, we include a further nonlinear component in the model consisting of nonlinear demand of loans. We proceed in two parts. First, we concentrate on the analysis of the local stability of the model. Given the high number of parameters, we support the analytical study with several numerical simulations. In the second part, we focus on the conditions under which small banks are more efficient than large banks. For this purpose, we study the dynamics of loans when different parameters vary simultaneously. Our results confirm the empirical evidence that small banks play a central role in supporting local firms and families more than large banks.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004192
    DOI: 10.1016/j.chaos.2022.112209
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    References listed on IDEAS

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    1. Puu, T., 1998. "The chaotic duopolists revisited," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 385-394, January.
    2. Pietro Alessandrini & Luca Papi, 2018. "Banche locali e piccole imprese dopo la crisi tra nuove regole e innovazioni digitali," Mo.Fi.R. Working Papers 148, Money and Finance Research group (Mo.Fi.R.) - Univ. Politecnica Marche - Dept. Economic and Social Sciences.
    3. Rossi, Stefania P.S. & Schwaiger, Markus S. & Winkler, Gerhard, 2009. "How loan portfolio diversification affects risk, efficiency and capitalization: A managerial behavior model for Austrian banks," Journal of Banking & Finance, Elsevier, vol. 33(12), pages 2218-2226, December.
    4. Bautista Mesa, Rafael & Molina Sánchez, Horacio & Ramírez Sobrino, Jesús Nicolás, 2014. "Main determinants of efficiency and implications on banking concentration in the European Union," Revista de Contabilidad - Spanish Accounting Review, Elsevier, vol. 17(1), pages 78-87.
    5. Fanti, Luciano, 2014. "The dynamics of a banking duopoly with capital regulations," Economic Modelling, Elsevier, vol. 37(C), pages 340-349.
    6. Bischi, Gian-Italo & Stefanini, Luciano & Gardini, Laura, 1998. "Synchronization, intermittency and critical curves in a duopoly game," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 44(6), pages 559-585.
    7. Fanti, Luciano & Gori, Luca & Sodini, Mauro, 2012. "Nonlinear dynamics in a Cournot duopoly with relative profit delegation," Chaos, Solitons & Fractals, Elsevier, vol. 45(12), pages 1469-1478.
    8. Maudos, Joaquin & Pastor, Jose M. & Perez, Francisco & Quesada, Javier, 2002. "Cost and profit efficiency in European banks," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 12(1), pages 33-58, February.
    9. Fanti, Luciano & Gori, Luca & Sodini, Mauro, 2015. "Nonlinear dynamics in a Cournot duopoly with isoelastic demand," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 129-143.
    10. Brianzoni, Serena & Gori, Luca & Michetti, Elisabetta, 2015. "Dynamics of a Bertrand duopoly with differentiated products and nonlinear costs: Analysis, comparisons and new evidences," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 191-203.
    11. Francesco Aiello & Graziella Bonanno, 2013. "Profit and cost efficiency in the Italian banking industry (2006-2011)," Economics and Business Letters, Oviedo University Press, vol. 2(4), pages 190-205.
    12. Assaf, A. George & Berger, Allen N. & Roman, Raluca A. & Tsionas, Mike G., 2019. "Does efficiency help banks survive and thrive during financial crises?," Journal of Banking & Finance, Elsevier, vol. 106(C), pages 445-470.
    13. Pietro Alessandrini & Luca Papi, 2018. "L'impatto della "bolla regolamentare" sulle banche: alcune valutazioni," Mo.Fi.R. Working Papers 150, Money and Finance Research group (Mo.Fi.R.) - Univ. Politecnica Marche - Dept. Economic and Social Sciences.
    14. Tramontana, Fabio, 2010. "Heterogeneous duopoly with isoelastic demand function," Economic Modelling, Elsevier, vol. 27(1), pages 350-357, January.
    15. Barboni, Giorgia & Rossi, Carlotta, 2019. "Does your neighbour know you better? The supportive role of local banks in the financial crisis," Journal of Banking & Finance, Elsevier, vol. 106(C), pages 514-526.
    16. Fanti, Luciano & Gori, Luca & Mammana, Cristiana & Michetti, Elisabetta, 2013. "The dynamics of a Bertrand duopoly with differentiated products: Synchronization, intermittency and global dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 52(C), pages 73-86.
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