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Identifying and Solving Multivariate Rational Expectations Models

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Author Info
John Hunter ()
Christos Ioannidis ()

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Abstract

This article discuses the identification of Generalised Rational Expectations Models. It is shown that the necessary and sufficient conditions for local identification of the Quasi-Structural Form (Q-SF) derive from the first derivatives of the Non-Linear Instrumental Variables (NLIV) criterion. The necessary and sufficient conditions for local identification consist of an appropriately defined and informative instrument set and a Jacobian matrix with appropriate rank.However, these conditions do not identify the full structural form (SF) linked to either the true expectations or the full solution. For the identification of SF, the parameters need to be associated with a model that satisfies the transversality condition. It is shown that the testing of this condition is impossible when relying exclusively on the existing instruments.

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Paper provided by Economics and Finance Section, School of Social Sciences, Brunel University in its series Public Policy Discussion Papers with number 04-08.

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Length: 12 pages
Date of creation: Sep 2004
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Handle: RePEc:bru:bruppp:04-08

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Postal: Brunel University, Uxbridge, Middlesex UB8 3PH, UK

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  1. Gregogy, A.W. & Pagan, A.R. & Smith, G.W., 1990. "Estimating Linear Quadratic Models With Integrated Processes," RCER Working Papers 247, University of Rochester - Center for Economic Research (RCER).
  2. Sargan, J D, 1983. "Identification and Lack of Identification," Econometrica, Econometric Society, vol. 51(6), pages 1605-33, November. [Downloadable!] (restricted)
  3. James H. Stock & Jonathan Wright, 2000. "GMM with Weak Identification," Econometrica, Econometric Society, vol. 68(5), pages 1055-1096, September.
  4. Peter C.B. Phillips, 2003. "Vision and Influence in Econometrics: John Denis Sargan," Cowles Foundation Discussion Papers 1393, Cowles Foundation, Yale University. [Downloadable!]
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  5. Jean-Marie Dufour, 1997. "Some Impossibility Theorems in Econometrics with Applications to Structural and Dynamic Models," Econometrica, Econometric Society, vol. 65(6), pages 1365-1388, November.
  6. John Hunter, . "Global Identification of Linear Rational Expectations Models," CERF Discussion Paper Series 92-03, Economics and Finance Section, School of Social Sciences, Brunel University.
  7. repec:cup:etheor:v:11:y:1995:i:2:p:229-57 is not listed on IDEAS
  8. Rothenberg, Thomas J, 1971. "Identification in Parametric Models," Econometrica, Econometric Society, vol. 39(3), pages 577-91, May. [Downloadable!] (restricted)
  9. Manuel Arellano & Lars P. Hansen & Enrique Sentana, 2000. "Underidentification?," Econometric Society World Congress 2000 Contributed Papers 1824, Econometric Society. [Downloadable!]
  10. Broze, Laurence & Gourieroux Christian & Szafarz A, 1984. "Solutions of dynamic linear rational expectations models," CEPREMAP Working Papers (Couverture Orange) 8421, CEPREMAP.
  11. Sargan, J. D., 1981. "Identification in models with autoregressive errors," Journal of Econometrics, Elsevier, vol. 16(1), pages 160-161, May. [Downloadable!] (restricted)
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