IDEAS home Printed from https://ideas.repec.org/a/spr/decfin/v43y2020i1d10.1007_s10203-019-00269-4.html
   My bibliography  Save this article

Arbitrary initial conditions and the dimension of indeterminacy in linear rational expectations models

Author

Listed:
  • Marco M. Sorge

    (University of Salerno, University of Göttingen and CSEF)

Abstract

Indeterminate equilibrium rational expectations (RE) models are ubiquitous in both theoretical and applied work in dynamic macroeconomics. The issue of characterizing the exact dimension of indeterminacy—i.e. of deriving the full set of causal and stable solutions to linear RE models—has only recently been addressed in the context of general and multivariate settings. This paper complements existing results by identifying bounds on the observable dimension of indeterminacy of linear RE models in the presence of arbitrary initial conditions. Implications for the estimation of indeterminate equilibrium RE models are discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:decfin:v:43:y:2020:i:1:d:10.1007_s10203-019-00269-4
    DOI: 10.1007/s10203-019-00269-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10203-019-00269-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10203-019-00269-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Al-Sadoon, Majid M., 2018. "The Linear Systems Approach To Linear Rational Expectations Models," Econometric Theory, Cambridge University Press, vol. 34(3), pages 628-658, June.
    2. 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.
    3. Thomas A. Lubik & Frank Schorfheide, 2004. "Testing for Indeterminacy: An Application to U.S. Monetary Policy," American Economic Review, American Economic Association, vol. 94(1), pages 190-217, March.
    4. 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.
    5. J. B. Taylor & M. Woodford (ed.), 1999. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 1, number 1.
    6. Fanelli, Luca, 2012. "Determinacy, indeterminacy and dynamic misspecification in linear rational expectations models," Journal of Econometrics, Elsevier, vol. 170(1), pages 153-163.
    7. Francesco Bianchi & Giovanni Nicolò, 2021. "A generalized approach to indeterminacy in linear rational expectations models," Quantitative Economics, Econometric Society, vol. 12(3), pages 843-868, July.
    8. Funovits, Bernd, 2017. "The full set of solutions of linear rational expectations models," Economics Letters, Elsevier, vol. 161(C), pages 47-51.
    9. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448, Elsevier.
    10. Sorge, Marco M., 2012. "News shocks or parametric indeterminacy? An observational equivalence result in linear rational expectations models," Economics Letters, Elsevier, vol. 114(2), pages 198-200.
    11. Onatski, Alexei, 2006. "Winding number criterion for existence and uniqueness of equilibrium in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 30(2), pages 323-345, February.
    12. Fanelli, Luca & Sorge, Marco M., 2017. "Indeterminate forecast accuracy under indeterminacy," Journal of Macroeconomics, Elsevier, vol. 53(C), pages 57-70.
    13. Francesco Carravetta & Marco Sorge, 2010. "A “Nearly Ideal” Solution to Linear Time-Varying Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 35(4), pages 331-353, April.
    14. Laurence Broze & Ariane Szafarz, 1991. "The Econometric Analysis of Non-Uniqueness in Rational Expectations Models," ULB Institutional Repository 2013/649, ULB -- Universite Libre de Bruxelles.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sorge, Marco M., 2021. "Stabilizing Taylor rules and determinacy under unit root supply shocks: A re-examination," Journal of Macroeconomics, Elsevier, vol. 68(C).
    2. Majid M. Al-Sadoon, 2020. "The Spectral Approach to Linear Rational Expectations Models," Papers 2007.13804, arXiv.org, revised Aug 2024.
    3. Majid M. Al-Sadoon, 2020. "Regularized Solutions to Linear Rational Expectations Models," Papers 2009.05875, arXiv.org, revised Oct 2020.
    4. Fanelli, Luca & Sorge, Marco M., 2017. "Indeterminate forecast accuracy under indeterminacy," Journal of Macroeconomics, Elsevier, vol. 53(C), pages 57-70.
    5. Dave, Chetan & Sorge, Marco M., 2020. "Sunspot-driven fat tails: A note," Economics Letters, Elsevier, vol. 193(C).
    6. Marco M. Sorge, 2013. "On the Fundamentalness of Nonfundamentalness in DSGE Models," CSEF Working Papers 340, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    7. William Barnett & Jingxian Hu, 2017. "Capital Control, Exchange Rate Regime, and Monetary Policy: Indeterminacy and Bifurcation," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201706, University of Kansas, Department of Economics, revised Sep 2017.
    8. 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).
    9. Dave, Chetan & Sorge, Marco M., 2021. "Equilibrium indeterminacy and sunspot tales," European Economic Review, Elsevier, vol. 140(C).
    10. Hatcher, Michael, 2022. "Solving linear rational expectations models in the presence of structural change: Some extensions," Journal of Economic Dynamics and Control, Elsevier, vol. 138(C).
    11. Fanelli, Luca, 2012. "Determinacy, indeterminacy and dynamic misspecification in linear rational expectations models," Journal of Econometrics, Elsevier, vol. 170(1), pages 153-163.
    12. Luca Fanelli & Marco M. Sorge, 2015. "Indeterminacy, Misspecification and Forecastability: Good Luck in Bad Policy?," CSEF Working Papers 402, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    13. Leland Farmer & Roger Farmer, 2022. "Zoomers and Boomers: Asset Prices and Intergenerational Inequality," NBER Working Papers 30419, National Bureau of Economic Research, Inc.
    14. Hirose, Yasuo, 2020. "An Estimated Dsge Model With A Deflation Steady State," Macroeconomic Dynamics, Cambridge University Press, vol. 24(5), pages 1151-1185, July.
    15. Jonas E. Arias & Guido Ascari & Nicola Branzoli & Efrem Castelnuovo, 2020. "Positive Trend Inflation and Determinacy in a Medium-Sized New Keynesian Model," International Journal of Central Banking, International Journal of Central Banking, vol. 16(3), pages 51-94, June.
    16. Alice Albonico & Guido Ascari & Qazi Haque, 2024. "The (Ir)Relevance of Rule‐of‐Thumb Consumers for U.S. Business Cycle Fluctuations," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 56(4), pages 769-804, June.
    17. Oscar Pavlov & Mark Weder, 2017. "Product Scope and Endogenous Fluctuations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 175-191, March.
    18. Bilbiie, Florin O., 2008. "Limited asset markets participation, monetary policy and (inverted) aggregate demand logic," Journal of Economic Theory, Elsevier, vol. 140(1), pages 162-196, May.
    19. 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.
    20. Wei Dai & Mark Weder & Bo Zhang, 2020. "Animal Spirits, Financial Markets, and Aggregate Instability," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 52(8), pages 2053-2083, December.

    More about this item

    Keywords

    Rational expectations; Indeterminacy; Initial conditions;
    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:decfin:v:43:y:2020:i:1:d:10.1007_s10203-019-00269-4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.