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The full set of solutions of linear rational expectations models

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  • Funovits, Bernd

Abstract

This article characterises the dimension of indeterminacy of linear rational expectations (LRE) models and derives their full set of solutions. It extends the analysis of indeterminate equilibria in Lubik and Schorfheide (2003) where some equilibria are incorrectly classified as indeterminate even though they entail the same observable outcome.

Suggested Citation

  • Funovits, Bernd, 2017. "The full set of solutions of linear rational expectations models," Economics Letters, Elsevier, vol. 161(C), pages 47-51.
    • Handle: RePEc:eee:ecolet:v:161:y:2017:i:c:p:47-51
    DOI: 10.1016/j.econlet.2017.09.021
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    References listed on IDEAS

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    1. King, Robert G & Watson, Mark W, 1998. "The Solution of Singular Linear Difference Systems under Rational Expectations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1015-1026, November.
    2. Lubik, Thomas A. & Marzo, Massimiliano, 2007. "An inventory of simple monetary policy rules in a New Keynesian macroeconomic model," International Review of Economics & Finance, Elsevier, vol. 16(1), pages 15-36.
    3. Deistler, Manfred & Seifert, Hans-Gunther, 1978. "Identifiability and Consistent Estimability in Econometric Models," Econometrica, Econometric Society, vol. 46(4), pages 969-980, July.
    4. Farmer, Roger E.A. & Khramov, Vadim & Nicolò, Giovanni, 2015. "Solving and estimating indeterminate DSGE models," Journal of Economic Dynamics and Control, Elsevier, vol. 54(C), pages 17-36.
    5. Ivana Komunjer & Serena Ng, 2011. "Dynamic Identification of Dynamic Stochastic General Equilibrium Models," Econometrica, Econometric Society, vol. 79(6), pages 1995-2032, November.
    6. Lubik, Thomas A. & Schorfheide, Frank, 2003. "Computing sunspot equilibria in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 273-285, November.
    7. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
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    Citations

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    Cited by:

    1. Marco M. Sorge, 2020. "Arbitrary initial conditions and the dimension of indeterminacy in linear rational expectations models," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 363-372, June.
    2. Bernd Funovits & Alexander Braumann, 2021. "Identifiability of structural singular vector autoregressive models," Journal of Time Series Analysis, Wiley Blackwell, vol. 42(4), pages 431-441, July.
    3. Zadrozny, Peter A., 2022. "Linear identification of linear rational-expectations models by exogenous variables reconciles Lucas and Sims," CFS Working Paper Series 682, Center for Financial Studies (CFS).
    4. John G. Thistle, 2018. "The Origin and the Resolution of Nonuniqueness in Linear Rational Expectations," Papers 1806.06657, arXiv.org, revised Apr 2019.
    5. Peter A. Zadrozny, 2022. "Linear Identification of Linear Rational-Expectations Models by Exogenous Variables Reconciles Lucas and Sims," CESifo Working Paper Series 10078, CESifo.
    6. Majid M. Al-Sadoon, 2020. "Regularized Solutions to Linear Rational Expectations Models," Papers 2009.05875, arXiv.org, revised Oct 2020.
    7. Majid M. Al-Sadoon, 2020. "The Spectral Approach to Linear Rational Expectations Models," Papers 2007.13804, arXiv.org, revised Jun 2023.

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    More about this item

    Keywords

    Rational expectations; Indeterminacy; Full set of solutions;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E00 - Macroeconomics and Monetary Economics - - General - - - General

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