An extension of comparative statics to a general class of optimal choice models

Graciela Chichilnisky and P.J. Kalman

MPRA Paper from University Library of Munich, Germany

Abstract: We study properties of the solutions to a parametrized constrained optimization problem in Hilbert spaces. A special operator is studied which is of importance in economic theory; sufficient conditions are given for its existence, symmetry, and negative semidefiniteness. The techniques used are calculus on Hilbert spaces and functional analysis.

Keywords: Hilbert spaces; maximization; optimization; Slutsky-Hicks-Samuelson; semidefiniteness; symmetry, operators (search for similar items in EconPapers)
JEL-codes: C68 (search for similar items in EconPapers)
Date: 1978
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Published in Some Aspects of the Foundations of General Equilibrium Theory: The Posthumous Papers of Peter J. Kalman 159 (1978): pp. 1-25

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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:8092

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