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

Chichilnisky, Graciela and Kalman, P.J. (1978): An extension of comparative statics to a general class of optimal choice models. Published in: Some Aspects of the Foundations of General Equilibrium Theory: The Posthumous Papers of Peter J. Kalman No. 159 (1978): pp. 1-25.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: Hilbert spaces; maximization; optimization; Slutsky-Hicks-Samuelson; semidefiniteness; symmetry, operators
• Subjects: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C68 - Computable General Equilibrium Models

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