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.
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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|
|Original Title:||An extension of comparative statics to a general class of optimal choice models|
|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|
|Depositing User:||Graciela Chichilnisky|
|Date Deposited:||04. Apr 2008 06:33|
|Last Modified:||11. Feb 2013 17:49|
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