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The Theorem in Weber (Economics Letters 1998;59:71-75) is shown to have more reach than originally recognized. Even with this added bite, the result is relatively weak for economic applications. A new theorem is therefore established that provides an economically important extension of it.
A simple but rigorous proof of the Lagrangian Transposition Identities is given, and symmetric and semidefinite comparative statics matrices are derived, thereby providing a comprehensive qualitative characterization of any sufficiently smooth reciprocal pair of constrained optimization problems.
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