IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/7976.html
   My bibliography  Save this paper

Properties of critical points and operators in economics

Author

Listed:
  • Chichilnisky, Graciela
  • Kalman, P.J.

Abstract

The study of the local characteristics of equilibrium positions generated by the constrained maximization of some criterion functions (such as utility, profit, cost, etc.) goes back to Antonelli's paper [2] of 1886. Certain local properties have been proved to be particularly fruitful for economic theory since the early works of Slutsky, Hicks, and Samuelson [9]; they have been formulated in terms of a matrix of "compensated" terms and they concern the properties of partial derivatives of the demand function in some neighborhood of the equilibrium. We now discuss this matrix and its applications.

Suggested Citation

  • Chichilnisky, Graciela & Kalman, P.J., 1977. "Properties of critical points and operators in economics," MPRA Paper 7976, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:7976
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/7976/1/MPRA_paper_7976.pdf
    File Function: original version
    Download Restriction: no

    References listed on IDEAS

    as
    1. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    2. Kalman, Peter J & Intriligator, Michael D, 1973. "Generalized Comparative Statics with Applications to Consumer Theory and Producer Theory," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 473-486, June.
    3. Chichilnisky, Graciela & Kalman, Peter J, 1978. "Comparative Statics of Less Neoclassical Agents," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(1), pages 141-148, February.
    4. Kalman, Peter J & Dusansky, Richard & Wickstrom, Bengt-Arne, 1974. "On the Major Slutsky Properties When Money Is the Sole Medium of Exchange," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(3), pages 718-728, October.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Antononelli; Slutsky; Hicks; Samuelson; equilibrium; contstrained maximization; maximization; matrix; compensated; economic theory; Slutsky-Hicks-Samuelson equation; utility analysis; demand; optimization; topological; topology;

    JEL classification:

    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • B1 - Schools of Economic Thought and Methodology - - History of Economic Thought through 1925
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:7976. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter). General contact details of provider: http://edirc.repec.org/data/vfmunde.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.