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Stochastic stability of endogenous growth:Theory and applications

Author

Listed:
  • Raouf Boucekkine

    (GREQAM, Aix Marseille University)

  • Patrick Pintus

    (GREQAM, Aix Marseille University)

  • Benteng Zou

    (CREA, Université de Luxembourg)

Abstract

We examine the issue of stability of stochastic endogenous growth. First, stochastic stability concepts are introduced and applied to stochastic linear homogenous differen- tial equations to which several stochastic endogenous growth models reduce. Second, we apply the mathematical theory to two models, starting with the stochastic AK model. It’s shown that in this case exponential balanced paths, which characterize optimal trajectories in the absence of uncertainty, are not robust to uncertainty: the economy may almost surely collapse at exponential speed even though productivity is initially arbitrarily high. Finally, we revisit the seminal global diversification endogenous growth model (Obstfeld, 1994): taking into account stochastic stability calls for a redefinition of the mean growth concept, which leads to revisit the established wisdom on the growth effect of global diversification.

Suggested Citation

  • Raouf Boucekkine & Patrick Pintus & Benteng Zou, 2015. "Stochastic stability of endogenous growth:Theory and applications," DEM Discussion Paper Series 15-09, Department of Economics at the University of Luxembourg.
    • Handle: RePEc:luc:wpaper:15-09
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    File URL: https://hdl.handle.net/10993/23041
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    References listed on IDEAS

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    2. Robert J. Barro, 2013. "Inflation and Economic Growth," Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 121-144, May.
    3. Obstfeld, Maurice, 1994. "Risk-Taking, Global Diversification, and Growth," American Economic Review, American Economic Association, vol. 84(5), pages 1310-1329, December.
    4. Boucekkine, R. & Fabbri, G. & Pintus, P., 2014. "Growth and financial liberalization under capital collateral constraints: The striking case of the stochastic AK model with CARA preferences," Economics Letters, Elsevier, vol. 122(2), pages 303-307.
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    Cited by:

    1. Raouf Boucekkine & Giorgio Fabbri & Patrick A. Pintus, 2015. "Risk Sharing and Growth in Small-Open Economies," Working Papers halshs-01201872, HAL.
    2. Maxime Menuet, 2019. "Fiscal rule and shock amplification : A stochastic endogenous growth model," Working Papers hal-02153887, HAL.
    3. Raouf Boucekkine & Fabien Prieur & Benteng Zou, 2015. "Symmetric vs Asymmetric Equilibria and Stochastic Stability in a Dynamic Game of Legislative Lobbying," AMSE Working Papers 1531, Aix-Marseille School of Economics, France, revised Jan 2018.

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    More about this item

    Keywords

    Endogenous growth; stochastic growth; stochastic stability; AK model; Global diversification;
    All these keywords.

    JEL classification:

    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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