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Comparative statics and dynamics of optimal choice models in Hilbert spaces

Author

Listed:
  • 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.

Suggested Citation

  • Chichilnisky, Graciela & Kalman, P.J., 1979. "Comparative statics and dynamics of optimal choice models in Hilbert spaces," MPRA Paper 8001, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:8001
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    File URL: https://mpra.ub.uni-muenchen.de/8001/1/MPRA_paper_8001.pdf
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    Citations

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    Cited by:

    1. Chichilnisky, Graciela, 2009. "Avoiding extinction: equal treatment of the present and the future," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-25.

    More about this item

    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;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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