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Random Fixed Points in a Stochastic Solow Growth Model

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  • Klaus Reiner Schenk-Hopp�
  • Bj�rn Schmalfuss

Abstract

This paper presents a complete analysis of a stochastic version of the Solow growth model in which all parameters are ergodic random variables. Applying random dynamical systems theory, we prove that the dynamics and, in particular, the long-run behavior is uniquely determined by a globally attracting stable random fixed point. We also discuss the relation of our approach to that of ergodic Markov equilibria.

Suggested Citation

  • Klaus Reiner Schenk-Hopp� & Bj�rn Schmalfuss, "undated". "Random Fixed Points in a Stochastic Solow Growth Model," IEW - Working Papers 065, Institute for Empirical Research in Economics - University of Zurich.
  • Handle: RePEc:zur:iewwpx:065
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Schenk-Hoppé Klaus Reiner, 2001. "Economic Growth and Business Cycles: A Critical Comment on Detrending Time Series," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(1), pages 1-13, April.
    2. Manuel S. Santos & Adrian Peralta-Alva, 2005. "Accuracy of Simulations for Stochastic Dynamic Models," Econometrica, Econometric Society, vol. 73(6), pages 1939-1976, November.
    3. Adrian Peralta-Alva & Manuel S. Santos, 2012. "Analysis of numerical errors," Working Papers 2012-062, Federal Reserve Bank of St. Louis.
    4. Claude DIEBOLT & Tapas MISHRA & Mamata PARHI, 2015. "A "Jump" in the Stochasticity of the Solow-Swan Growth Model," Economies et Sociétés (Serie 'Histoire Economique Quantitative'), Association Française de Cliométrie (AFC), issue 50, pages 905-917, Juin.
    5. Jesús Fernández-Villaverde & Juan F. Rubio-Ramírez & Manuel S. Santos, 2006. "Convergence Properties of the Likelihood of Computed Dynamic Models," Econometrica, Econometric Society, vol. 74(1), pages 93-119, January.
    6. Klaus Reiner Schenk-Hopp�, "undated". "Economic Growth and Business Cycles: A Critical Comment on Detrending Time Series (Revised Version)," IEW - Working Papers 054, Institute for Empirical Research in Economics - University of Zurich.
    7. Santos, Manuel S., 2004. "Simulation-based estimation of dynamic models with continuous equilibrium solutions," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 465-491, June.
    8. Electra Petracou & Anastasios Xepapadeas & Athanasios Yannacopoulos, "undated". "The bioeconomics of migration: A selective review towards a modelling perspective," DEOS Working Papers 1306, Athens University of Economics and Business.
    9. Klaus Reiner Schenk-Hopp�, "undated". "Random Dynamical Systems in Economics," IEW - Working Papers 067, Institute for Empirical Research in Economics - University of Zurich.
    10. Palczewski, Jan & Schenk-Hoppé, Klaus Reiner, 2010. "Market selection of constant proportions investment strategies in continuous time," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 248-266, March.
    11. Schenk-Hoppe, Klaus Reiner, 2005. "Poverty traps and business cycles in a stochastic overlapping generations economy with S-shaped law of motion," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 275-288, June.
    12. Santos, Manuel S., 2003. "Simulation-based estimation of dynamic models with continuous equilibrium solutions," UC3M Working papers. Economics we034716, Universidad Carlos III de Madrid. Departamento de Economía.
    13. repec:ebl:ecbull:v:3:y:2008:i:41:p:1-14 is not listed on IDEAS
    14. Klaus Schenk-Hoppé, 2002. "Sample-Path Stability of Non-Stationary Dynamic Economic Systems," Annals of Operations Research, Springer, vol. 114(1), pages 263-280, August.

    More about this item

    Keywords

    Solow growth model; random dynamical systems; random fixed points; ergodic Markov equilibria;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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