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Financial fragility and global dynamics

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  • Dieci, Roberto
  • Sordi, Serena
  • Vercelli, Alessandro

Abstract

This paper deals with a simple model of financial fluctuations, where a crucial role is played by the dynamic interaction between aggregate current and intertemporal financial ratios. The model results in a 4D discrete-time dynamical system—capable of generating complex dynamics—which is analyzed by means of both analytical tools, such as local stability analysis and bifurcation theory, and numerical simulations. The behavior of the model is studied for different parameter regimes. We show that its dynamic behavior is very sensitive to the parameters that represent (1) the speed of adjustment of the desired current financial ratio towards a safe level of the intertemporal one and (2) the intensity with which aggregate current financial decisions affect future financial constraints. In particular, different parameter regimes are identified, giving rise to two different “routes” to complexity, one leading to chaotic dynamics, the other to a coexistence of attractors and path-dependence.

Suggested Citation

  • Dieci, Roberto & Sordi, Serena & Vercelli, Alessandro, 2006. "Financial fragility and global dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 595-610.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:3:p:595-610
    DOI: 10.1016/j.chaos.2005.08.092
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    References listed on IDEAS

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    1. Kind, Christoph, 1999. "Remarks on the economic interpretation of Hopf bifurcations," Economics Letters, Elsevier, vol. 62(2), pages 147-154, February.
    2. Vercelli, Alessandro, 2000. "Structural financial instability and cyclical fluctuations," Structural Change and Economic Dynamics, Elsevier, vol. 11(1-2), pages 139-156, July.
    3. Farebrother, R W, 1973. "Simplified Samuelson Conditions for Cubic and Quartic Equations," The Manchester School of Economic & Social Studies, University of Manchester, vol. 41(4), pages 396-400, December.
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    Cited by:

    1. Sordi, Serena & Vercelli, Alessandro, 2012. "Heterogeneous expectations and strong uncertainty in a Minskyian model of financial fluctuations," Journal of Economic Behavior & Organization, Elsevier, vol. 83(3), pages 544-557.
    2. Iancu, Aurel, 2011. "Financial System Fragility Models," Working Papers of National Institute for Economic Research 110211, Institutul National de Cercetari Economice (INCE).
    3. Robin Pope & Reinhard Selten & Johannes Kaiser & Sebastian Kube & Jürgen Hagen, 2012. "Exchange rate determination: a theory of the decisive role of central bank cooperation and conflict," International Economics and Economic Policy, Springer, vol. 9(1), pages 13-51, March.
    4. Pope, Robin & Selten, Reinhard & Kube, Sebastian & Kaiser, Johannes & von Hagen, Jürgen, 2007. "Exchange Rate Determination: A Model of the Decisive Role of Central Bank Cooperation and Conflict," Bonn Econ Discussion Papers 18/2007, University of Bonn, Bonn Graduate School of Economics (BGSE).
    5. Giansante, Simone & Chiarella, Carl & Sordi, Serena & Vercelli, Alessandro, 2012. "Structural contagion and vulnerability to unexpected liquidity shortfalls," Journal of Economic Behavior & Organization, Elsevier, vol. 83(3), pages 558-569.
    6. Pope, Robin & Selten, Reinhard & Kube, Sebastian & von Hagen, Jürgen, 2009. "Prominent Numbers, Indices and Ratios in Exchange Rate Determination and Financial Crashes: in Economists’ Models, in the Field and in the Laboratory," Bonn Econ Discussion Papers 18/2009, University of Bonn, Bonn Graduate School of Economics (BGSE).
    7. Robin Pope, 2009. "Beggar‐Thy‐Neighbour Exchange Rate Regime Misadvice from Misapplications of Mundell (1961) and the Remedy," The World Economy, Wiley Blackwell, vol. 32(2), pages 326-350, February.
    8. Iancu, Aurel, 2011. "Models of Financial System Fragility," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 230-256, March.

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