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Comparative statics and dynamics of optimal choice models in Hilbert spaces

Chichilnisky, Graciela and Kalman, P.J. (1979): Comparative statics and dynamics of optimal choice models in Hilbert spaces. Published in: Journal of Mathematical Analysis and Applications , Vol. 70, No. No. 2 (August 1979): pp. 490-504.

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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.

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