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Comparative statics and dynamics of optimal choice models in Hilbert spaces

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  • Chichilnisky, Graciela
  • Kalman, P.J.

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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File URL: http://mpra.ub.uni-muenchen.de/8001/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 8001.

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Date of creation: 1979
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Publication status: Published in Journal of Mathematical Analysis and Applications No. 2.70(1979): pp. 490-504
Handle: RePEc:pra:mprapa:8001

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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;

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Cited by:
  1. Chichilnisky, Graciela, 2009. "Avoiding Extinction: Equal Treatment of the Present and the Future," Economics Discussion Papers 2009-8, Kiel Institute for the World Economy.

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