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Properties of critical points and operators in economics

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  • 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.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 7976.

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Date of creation: 1977
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Publication status: Published in Journal of Mathematical Analysis and Applications no. 2.57(1977): pp. 340-349
Handle: RePEc:pra:mprapa:7976

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

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  1. DEBREU, Gérard, . "Economies with a finite set of equilibria," CORE Discussion Papers RP -67, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. 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 141-48, February.
  3. 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 473-86, June.
  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 718-28, October.
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