Comparative statics and dynamics of optimal choice models in Hilbert spaces

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 and non linear functional analysis on Hilbert spaces.

Keywords: Hilbert spaces; optimization; operator; parametrized constrained maximization; comparative statics; Slutky; Hicks; Samuelson; matrix; Hilbert; Euclidean spaces; optimal growth; dynamic models; growth; manifold; constrained optimization (search for similar items in EconPapers)
JEL-codes: C6 C61 (search for similar items in EconPapers)
Date: 1979
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Citations: View citations in EconPapers (2)

Published in Journal of Mathematical Analysis and Applications No. 2.70(1979): pp. 490-504

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