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A Note on the Uniqueness of Solutions to Rational Expectations Models

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Abstract

Klein (2000) advocates the use of the Schur decomposition of a matrix pencil o solve linear rational expectations (RE) models. Meanwhile his algorithm has ecome a center piece in several computer codes that provide approximate olutions to (non-linear) dynamic stochastic general equilibrium (DSGE) models. A ubtlety not resolved by Klein is whether or not a certain Schur decompostion ould fail to solve the model while a second one would provide a solution. We how that this cannot happen.

Suggested Citation

  • Christopher Heiberger & Torben Klarl & Alfred Maussner, 2012. "A Note on the Uniqueness of Solutions to Rational Expectations Models," Discussion Paper Series 319, Universitaet Augsburg, Institute for Economics.
  • Handle: RePEc:aug:augsbe:0319
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    File URL: http://www.wiwi.uni-augsburg.de/vwl/institut/paper/319.pdf
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    References listed on IDEAS

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    1. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
    2. Heer, Burkhard & Maußner, Alfred, 2008. "Computation Of Business Cycle Models: A Comparison Of Numerical Methods," Macroeconomic Dynamics, Cambridge University Press, vol. 12(05), pages 641-663, November.
    3. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January.
    4. Gomme, Paul & Klein, Paul, 2011. "Second-order approximation of dynamic models without the use of tensors," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 604-615, April.
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    More about this item

    Keywords

    Linear Rational Expectations Models; Schur Decomposition; DSGE Models;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications

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