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Econometrica Vol. 51 No. 4 1983

Computable Qualitative Comparative Static Techniques

Gilbert Ritschard

open access

Abstract

This article is devoted to computable techniques for solving comparative static problems when only the sign of the partial derivatives of the model is considered. We first show how to extract unambiguously signed multipliers, or more generally qualitatively linked multipliers. This information then helps to reduce the size of the original system by means of a qualitative aggregation principle which we establish. As to the computation of solutions, a branch-and-bound algorithm is presented which considerably increases the efficiency of the Samuelson-Lancaster elimination principle. Finally we derive an efficient algorithm to check for signed determinants. The techniques are then applied to the analysis of an actual 20 equation model.

DOI
10.2307/1912056
Volume
51
Issue
4
Pages
1145
Sources
bibtex:phds-export.bib openalex crossref

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