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Solutions of multivariate Rational Expectations Models

Published online by Cambridge University Press:  11 February 2009

Laurence Broze ,
Christian Gouriéroux  and
Ariane Szafarz
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Abstract

The aim of this paper is the study of the path solutions of a multivariate rational expectations model. We describe several procedures for solving such dynamic systems based on either the adjoint operator method or the Smith form. As a by-product, we derive the dimension of the set of solutions in terms of martingale differences and the dimension of the set of linear stationary solutions when we restrict ourselves to the linear case. These dimensions are functions of the number of equations in the system, of the maximum lead, and of the orders of some eigenvalues of the characteristic equation associated with the system.

Type
Research Article
Information
Econometric Theory , Volume 11 , Issue 2 , February 1995 , pp. 229 - 257
Copyright
Copyright © Cambridge University Press 1995

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