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.

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.

• Item Type: MPRA Paper
• Language: English
• 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
• Subjects: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis

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