IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v160y2022ics0960077922004192.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922004192
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2022.112209?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. 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.
    2. 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.
    3. 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.
    4. Puu, T., 1998. "The chaotic duopolists revisited," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 385-394, January.
    5. 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.
    6. 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.
    7. Fanti, Luciano, 2014. "The dynamics of a banking duopoly with capital regulations," Economic Modelling, Elsevier, vol. 37(C), pages 340-349.
    8. 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.
    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. 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.
    11. 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.
    12. 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.
    13. Tramontana, Fabio, 2010. "Heterogeneous duopoly with isoelastic demand function," Economic Modelling, Elsevier, vol. 27(1), pages 350-357, January.
    14. 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.
    15. 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.
    16. 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.
    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. Ansori, Moch. Fandi & Brianzoni, Serena & Campisi, Giovanni, 2024. "Bifurcations and complex dynamics in a banking duopoly model with macroprudential policy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 641(C).
    2. Abudureheman Kadeer & Jinghan Yang & Shiyi Zhao, 2024. "Complexity Analysis of the Interaction between Government Carbon Quota Mechanism and Manufacturers’ Emission Reduction Strategies under Carbon Cap-and-Trade Mechanism," Sustainability, MDPI, vol. 16(16), pages 1-23, August.

    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. Joaquín Andaluz & Gloria Jarne, 2016. "Stability of vertically differentiated Cournot and Bertrand-type models when firms are boundedly rational," Annals of Operations Research, Springer, vol. 238(1), pages 1-25, March.
    2. 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.
    3. Luca Gori & Nicolò Pecora & Mauro Sodini, 2017. "Market share delegation in a nonlinear duopoly with quantity competition: the role of dynamic entry barriers," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 905-931, November.
    4. Gori, Luca & Sodini, Mauro, 2017. "Price competition in a nonlinear differentiated duopoly," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 557-567.
    5. S. S. Askar & Mona F. EL-Wakeel & M. A. Alrodaini, 2018. "Exploration of Complex Dynamics for Cournot Oligopoly Game with Differentiated Products," Complexity, Hindawi, vol. 2018, pages 1-13, February.
    6. Fanti, Luciano & Gori, Luca & Mammana, Cristiana & Michetti, Elisabetta, 2014. "Local and global dynamics in a duopoly with price competition and market share delegation," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 253-270.
    7. Sameh S Askar & Abdulrahman Al-Khedhairi, 2020. "Local and Global Dynamics of a Constraint Profit Maximization for Bischi–Naimzada Competition Duopoly Game," Mathematics, MDPI, vol. 8(9), pages 1-16, August.
    8. Peng, Yu & Lu, Qian & Xiao, Yue, 2016. "A dynamic Stackelberg duopoly model with different strategies," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 128-134.
    9. 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.
    10. Luciano Fanti & Luca Gori, 2013. "Stability Analysis in a Bertrand Duopoly with Different Product Quality and Heterogeneous Expectations," Journal of Industry, Competition and Trade, Springer, vol. 13(4), pages 481-501, December.
    11. Liu, Yuxia & Zhou, Wei & Wang, Qian, 2022. "Global dynamics of an oligopoly competition model with isoelastic demand and strategic delegation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    12. 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.
    13. 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.
    14. Zhu, Yan-lan & Zhou, Wei & Chu, Tong, 2022. "Analysis of complex dynamical behavior in a mixed duopoly model with heterogeneous goods," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    15. Joaquín Andaluz & Gloria Jarne, 2019. "On price stability and the nature of product differentiation," Journal of Evolutionary Economics, Springer, vol. 29(2), pages 741-762, April.
    16. Fanti, Luciano & Gori, Luca, 2011. "The dynamics of a Bertrand duopoly with differentiated products and bounded rational firms revisited," MPRA Paper 33268, University Library of Munich, Germany.
    17. Ueda, Masahiko, 2019. "Effect of information asymmetry in Cournot duopoly game with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    18. Francesco Aiello & Graziella Bonanno, 2018. "On The Sources Of Heterogeneity In Banking Efficiency Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 32(1), pages 194-225, February.
    19. Gian Italo Bischi & Fabio Lamantia & Davide Radi, 2018. "Evolutionary oligopoly games with heterogeneous adaptive players," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 12, pages 343-370, Edward Elgar Publishing.
    20. Badunenko, Oleg & Kumbhakar, Subal C. & Lozano‐Vivas, Ana, 2021. "Achieving a sustainable cost-efficient business model in banking: The case of European commercial banks," European Journal of Operational Research, Elsevier, vol. 293(2), pages 773-785.

    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:160:y:2022:i:c:s0960077922004192. 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.