The dynamics of a banking duopoly with capital regulations
AbstractWe 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.
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Bibliographic InfoPaper provided by Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy in its series Discussion Papers with number 2012/151.
Date of creation: 01 Sep 2012
Date of revision:
Bifurcation; Chaos; Cournot; Oligopoly; Banking; Capital regulation.;
Find related papers by 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 and Pricing - - - Oligopoly and Other Forms of Market Imperfection
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-11-03 (All new papers)
- NEP-BAN-2012-11-03 (Banking)
- NEP-CBA-2012-11-03 (Central Banking)
- NEP-COM-2012-11-03 (Industrial Competition)
- NEP-IND-2012-11-03 (Industrial Organization)
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- Wouter J. Denhaan, 2000.
"The Importance Of The Number Of Different Agents In A Heterogeneous Asset-Pricing Model,"
Computing in Economics and Finance 2000
349, Society for Computational Economics.
- Den Haan, Wouter J., 2001. "The importance of the number of different agents in a heterogeneous asset-pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 721-746, May.
- Yuk-Shee Chan & Stuart I. Greenbaum & Anjan V. Thakor, 2004.
"Is Fairly Priced Deposit Insurance Possible?,"
- Fanti, Luciano & Gori, Luca, 2011.
"The dynamics of a differentiated duopoly with quantity competition,"
33477, University Library of Munich, Germany.
- Fanti, Luciano & Gori, Luca, 2012. "The dynamics of a differentiated duopoly with quantity competition," Economic Modelling, Elsevier, vol. 29(2), pages 421-427.
- Luciano Fanti & Luca Gori, 2011. "The dynamics of a differentiated duopoly with quantity competition," Discussion Papers 2011/121, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
- Xavier Vives, 2011.
"Competition and Stability in Banking,"
Central Banking, Analysis, and Economic Policies Book Series,
in: Luis Felipe Céspedes & Roberto Chang & Diego Saravia (ed.), Monetary Policy under Financial Turbulence, edition 1, volume 16, chapter 12, pages 455-502
Central Bank of Chile.
- Xavier Vives, 2010. "Competition and Stability in Banking," CESifo Working Paper Series 3050, CESifo Group Munich.
- Vives, Xavier, 2010. "Competition and stability in banking," IESE Research Papers D/852, IESE Business School.
- Xavier Vives, 2010. "Competition and Stability in Banking," Working Papers Central Bank of Chile 576, Central Bank of Chile.
- Franklin Allen & Douglas Gale, 2004.
"Competition and financial stability,"
Federal Reserve Bank of Cleveland, pages 453-486.
- Zhang, Jixiang & Da, Qingli & Wang, Yanhua, 2007. "Analysis of nonlinear duopoly game with heterogeneous players," Economic Modelling, Elsevier, vol. 24(1), pages 138-148, January.
- Xavier Freixas & Jean-Charles Rochet, 1997. "Microeconomics of Banking," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061937, January.
- Matutes, Carmen & Vives, Xavier, 2000.
"Imperfect competition, risk taking, and regulation in banking,"
European Economic Review,
Elsevier, vol. 44(1), pages 1-34, January.
- Matutes, Carmen & Vives, Xavier, 1995. "Imperfect Competition, Risk Taking, and Regulation in Banking," CEPR Discussion Papers 1177, C.E.P.R. Discussion Papers.
- Tramontana, Fabio, 2010. "Heterogeneous duopoly with isoelastic demand function," Economic Modelling, Elsevier, vol. 27(1), pages 350-357, January.
- João A. C. Santos, 2000. "Bank capital regulation in contemporary banking theory: a review of the literature," BIS Working Papers 90, Bank for International Settlements.
- Rochet, Jean-Charles, 1992. "Capital requirements and the behaviour of commercial banks," European Economic Review, Elsevier, vol. 36(5), pages 1137-1170, June.
- Kim, Daesik & Santomero, Anthony M, 1988. " Risk in Banking and Capital Regulation," Journal of Finance, American Finance Association, vol. 43(5), pages 1219-33, December.
- Blum, Jurg & Hellwig, Martin, 1995. "The macroeconomic implications of capital adequacy requirements for banks," European Economic Review, Elsevier, vol. 39(3-4), pages 739-749, April.
- Dermine, J., 1986. "Deposit rates, credit rates and bank capital : The Klein-Monti Model Revisited," Journal of Banking & Finance, Elsevier, vol. 10(1), pages 99-114, March.
- Dana, Rose-Anne & Montrucchio, Luigi, 1986. "Dynamic complexity in duopoly games," Journal of Economic Theory, Elsevier, vol. 40(1), pages 40-56, October.
- Medio,Alfredo & Gallo,Giampaolo, 1995. "Chaotic Dynamics," Cambridge Books, Cambridge University Press, number 9780521484619, December.
- Agiza, H.N. & Elsadany, A.A., 2003. "Nonlinear dynamics in the Cournot duopoly game with heterogeneous players," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 512-524.
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