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Numerically Stable Stochastic Simulation Approaches for Solving Dynamic Economic Models

Author

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  • Serguei Maliar

    (Hoover Institution at Stanford University and University of Alicante)

  • Lilia Maliar

    (Hoover Institution at Stanford University and University of Alicante)

  • Kenneth Judd

    (Hoover Institution at Stanford University)

Abstract

We develop numerically stable stochastic simulation approaches for solving dynamic economic models. We rely on standard simulation procedures to simultaneously compute an ergodic distribution of state variables, its support and the associated decision rules. We differ from existing methods, however, in how we use simulation data to approximate decision rules. Instead of the usual least-squares methods, we examine a variety of alternatives, including the least-squares method using SVD, Tikhonov regularization, least-absolute deviation methods, principal components regression method, all of which are numerically stable and can handle ill-conditioned problems. These new methods enable us to compute high-order polynomial approximations without encountering numerical problems. Our approaches are especially well suitable for high-dimensional applications in which other methods are infeasible.

Suggested Citation

  • Serguei Maliar & Lilia Maliar & Kenneth Judd, 2010. "Numerically Stable Stochastic Simulation Approaches for Solving Dynamic Economic Models," 2010 Meeting Papers 280, Society for Economic Dynamics.
  • Handle: RePEc:red:sed010:280
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Kollmann, Robert & Maliar, Serguei & Malin, Benjamin A. & Pichler, Paul, 2011. "Comparison of solutions to the multi-country Real Business Cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 186-202, February.
    2. Laurence Kotlikoff, 2013. "The US Fiscal Cliff – When Economists Recklessly Endanger the Economy," CESifo Forum, Ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 14(2), pages 03-08, August.
    3. repec:eee:dyncon:v:91:y:2018:i:c:p:349-368 is not listed on IDEAS
    4. Maliar, Serguei & Maliar, Lilia & Judd, Kenneth, 2011. "Solving the multi-country real business cycle model using ergodic set methods," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 207-228, February.
    5. Mennuni, Alessandro, 2013. "Labor Force Composition and Aggregate Fluctuations," Discussion Paper Series In Economics And Econometrics 1302, Economics Division, School of Social Sciences, University of Southampton.
    6. Nick Draper & André Nibbelink & Johannes Uhde, 2013. "An Assessment of Alternatives for the Dutch First Pension Pillar, The Design of Pension Schemes," CPB Discussion Paper 259, CPB Netherlands Bureau for Economic Policy Analysis.
    7. Kenneth L. Judd & Lilia Maliar & Serguei Maliar, 2010. "A Cluster-Grid Projection Method: Solving Problems with High Dimensionality," NBER Working Papers 15965, National Bureau of Economic Research, Inc.
    8. Thomas Mertens, 2012. "Solving General Incomplete Market Models with Substantial Heterogeneity," 2012 Meeting Papers 1173, Society for Economic Dynamics.
    9. Nick Draper & André Nibbelink & Johannes Uhde, 2015. "An Assessment of Alternatives for the Dutch First Pension Pillar System," De Economist, Springer, vol. 163(3), pages 281-302, September.
    10. Dmitriev, Alexandre & Roberts, Ivan, 2013. "The cost of adjustment: On comovement between the trade balance and the terms of trade," Economic Modelling, Elsevier, vol. 35(C), pages 689-700.

    More about this item

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models

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