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Solutions of dynamic linear rational expectations models

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  • Broze, Laurence
  • Gourieroux Christian
  • Szafarz A

Abstract

Linear rational expectations models generally have a large number of solutions. It is thus important to describe them exhaustively in order to study their properties and subsequently estimate which solution best fits the data. In this paper, a global approach is suggested allowing a simultaneous treatment of all possible cases. The fundamental concepts are the revision processes appearing in the procedure of updating expectations. It isfound that the set of solutions is completely described by using a limitednumber of these processes. We show how the method may be applied to determine the set of stationary solutions admitting an infinite moving-average representation. We give a natural parametrization of this set and discuss the exact number of independent parameters. © 1985, Cambridge University Press. All rights reserved.
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  • Broze, Laurence & Gourieroux Christian & Szafarz A, 1984. "Solutions of dynamic linear rational expectations models," CEPREMAP Working Papers (Couverture Orange) 8421, CEPREMAP.
  • Handle: RePEc:cpm:cepmap:8421
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    File URL: http://www.cepremap.fr/depot/couv_orange/co8421.pdf
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    References listed on IDEAS

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    1. Pestieau, Pierre & Possen, Uri M., 1978. "Optimal growth and distribution policies," Journal of Public Economics, Elsevier, pages 357-372.
    2. Phelps, Edmund S. & Shell, Karl, 1969. "Public debt, taxation, and capital intensiveness," Journal of Economic Theory, Elsevier, vol. 1(3), pages 330-346, October.
    3. Gordon Tullock, 1964. "The Social Rate of Discount and the Optimal Rate of Investment: Comment," The Quarterly Journal of Economics, Oxford University Press, vol. 78(2), pages 331-336.
    4. Amartya K. Sen, 1967. "Isolation, Assurance and the Social Rate of Discount," The Quarterly Journal of Economics, Oxford University Press, vol. 81(1), pages 112-124.
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    Cited by:

    1. Jones, John Bailey, 2002. "Has fiscal policy helped stabilize the postwar U.S. economy?," Journal of Monetary Economics, Elsevier, vol. 49(4), pages 709-746, May.
    2. Atıcı, Ferhan M. & Ekiz, Funda & Lebedinsky, Alex, 2014. "Cagan type rational expectation model on complex discrete time domains," European Journal of Operational Research, Elsevier, vol. 237(1), pages 148-151.
    3. Junior, Renato Galvão Flôres & Szafarz, Ariane, 1992. "Minimal identification of dynamic rational expectations systems," Revista Brasileira de Economia - RBE, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil), vol. 46(3), July.
    4. Ariane Szafarz, 2009. "How Did Financial-Crisis-Based Criticisms of Market Efficiency Get It So Wrong?," Working Papers CEB 09-048.RS, ULB -- Universite Libre de Bruxelles.
    5. Martinez-Garcia, Enrique, 2016. "System reduction and finite-order VAR solution methods for linear rational expectations models," Globalization and Monetary Policy Institute Working Paper 285, Federal Reserve Bank of Dallas.
    6. Beatriz Armendariz & Bert D'Espallier & Marek Hudon & Ariane Szafarz, 2011. "Subsidy Uncertainty and Microfinance Mission Drift," Working Papers CEB 11-014, ULB -- Universite Libre de Bruxelles.
    7. Majid M. Al-Sadoon, 2016. "The Linear Systems Approach to Linear Rational Expectations Models," Working Papers 875, Barcelona Graduate School of Economics.
    8. John Geweke & Joel Horowitz & M. Hashem Pesaran, 2006. "Econometrics: A Bird’s Eye View," CESifo Working Paper Series 1870, CESifo Group Munich.
    9. Szafarz, Ariane, 2012. "Financial crises in efficient markets: How fundamentalists fuel volatility," Journal of Banking & Finance, Elsevier, vol. 36(1), pages 105-111.
    10. Xavier De Scheemaekere & Kim Oosterlinck & Ariane Szafarz, 2012. "Addressing Economic Crises: The Reference-Class Problem," Working Papers CEB 12-024, ULB -- Universite Libre de Bruxelles.

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