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Published November 2, 2017 | Submitted
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A Class of Generalized Metzlerian Matrices

Abstract

This paper returns to a problem concerning the relationship between dynamic stability and Hicksian stability raised in a paper by Lloyd Metzler over twenty-five years ago [10]. The present paper identifies-a class of matrices which has the property that dynamic stability implies Hicksian stability, as in the gross substitute or "Metzlerian" case. Further, as in the Metzlerian case, such matrices are specified in terms of their qualitative properties, i.e., their sign pattern configurations. Some links between this class of matrices and Samuelson's correspondence principle are also indicated.

Additional Information

Revised. I would like to thank Dan McFadden for his many comments, criticisms, and suggestions on an earlier draft of this paper. John Maybee's comments have also been extremely helpful. Errors that remain are my own. Published in Trade Stability and Macroeconomics: Essays in Honor of Lloyd A. Metzler, edited by George Horwich and Paul A. Samuelson. New York: Academic Press, 1974.

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Created:
August 19, 2023
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January 14, 2024