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Random fixed points in a stochastic Solow growth model

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  • Schenk-Hoppe, Klaus Reiner
  • Schmalfu[ss], Bjorn

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.
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  • Schenk-Hoppe, Klaus Reiner & Schmalfu[ss], Bjorn, 2001. "Random fixed points in a stochastic Solow growth model," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 19-30, September.
    • Handle: RePEc:eee:mateco:v:36:y:2001:i:1:p:19-30
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    Cited by:

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    2. Jesús Fernández‐Villaverde & Samuel Hurtado & Galo Nuño, 2023. "Financial Frictions and the Wealth Distribution," Econometrica, Econometric Society, vol. 91(3), pages 869-901, May.
    3. Manuel S. Santos & Adrian Peralta-Alva, 2005. "Accuracy of Simulations for Stochastic Dynamic Models," Econometrica, Econometric Society, vol. 73(6), pages 1939-1976, November.
    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. Manuel S. Santos & Adrian Peralta-Alva, 2012. "Analysis of Numerical Errors," Working Papers 2012-6, University of Miami, Department of Economics.
    8. Electra Petracou & Anastasios Xepapadeas & Athanasios Yannacopoulos, 2013. "The bioeconomics of migration: A selective review towards a modelling perspective," DEOS Working Papers 1306, Athens University of Economics and Business.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. Albeverio, Sergio & Mastrogiacomo, Elisa, 2022. "Large deviation principle for spatial economic growth model on networks," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    15. 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.
    16. Böhm, Volker & Wenzelburger, Jan, 2002. "Perfect Predictions In Economic Dynamical Systems With Random Perturbations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(5), pages 687-712, November.
    17. Klaus Reiner Schenk-Hopp�, "undated". "Random Dynamical Systems in Economics," IEW - Working Papers 067, Institute for Empirical Research in Economics - University of Zurich.
    18. Juan Sebastián Pereyra & Juan Gabriel Brida, 2008. "The Solow model in discrete time and decreasing population growth rate," Economics Bulletin, AccessEcon, vol. 3(41), pages 1-14.
    19. repec:ebl:ecbull:v:3:y:2008:i:41:p:1-14 is not listed on IDEAS

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    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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