On the solution of saddlepoint problems in continuous time rational expectations models

Part of : Σπουδαί : journal of economics and business ; Vol.41, No.3, 1991, pages 265-273

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265-273
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Abstract:
A generalised solution method for rational expectations models which are representable by systems of first-order linear differential equations with constant coefficients is introduced. The existing literature relies on the existence of a similarity transformation which can be used to diagonalize the coefficient matrix of the model. The method presented in this paper may also be used when such a transformation does not exist. A simple example for which a diagonalizing transformation does not exist is used to illustrate the application of the solution method.
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Περιέχει σημειώσεις και βιβλιογραφία, The author is grateful to Tony Sampson for helpful discussions, but the usual caveat applies.