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Some Aspects of the Foundations of General Equilibrium Theory

The Posthumous Papers of Peter J. Kalman

  • Conference proceedings
  • © 1978

Overview

Editors:
  1. Jerry Green

    1. Department of Economics, Harvard University, Cambridge, USA

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 159)

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Table of contents (8 papers)

  1. Front Matter

    Pages I-V
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  2. An Extension of Comparative Statics to a General Class of Optimal Choice Models

    • G. Chichilnisky, P. J. Kalman
    Pages 1-25

  3. Applications of Thom’s Transversality Theory and Brouwer Degree Theory to Economics

    • Peter J. Kalman, Kuan-Pin Lin
    Pages 27-48

  4. Illusion-Free Demand Behavior in a Monetary Economy: The General Conditions

    • Richard Dusansky, Peter J. Kalman
    Pages 49-60

  5. Comparative Statics of Less Neoclassical Agents

    • Graciela Chichilnisky, Peter J. Kalman
    Pages 61-76

  6. On Some Properties of Short-Run Monetary Equilibrium with Uncertain Expectations

    • Peter J. Kalman, Kuan-Pin Lin
    Pages 77-114

  7. A Differentiable Temporary Equilibrium Theory

    • Peter J. Kalman, Kuan-Pin Lin
    Pages 115-129

  8. Equilibrium Theory in Veblen-Scitovsky Economies: Local Uniqueness, Stability and Existence

    • Peter J. Kalman, Kuan-Pin Lin, Hans Wiesmeth
    Pages 131-149

  9. Optimal Housing Supply Over Time Under Uncertainty

    • Richard Dusansky, Peter J. Kalman
    Pages 151-167

  10. Back Matter

    Pages 169-172
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Keywords

About this book

In a wide number of economic problems the equilibrium values of the variables can be regarded as solutions of a parametrized constrained maximization problem. This occurs in static as well as dynamic models; in the latter case the choice variables are often paths in certain function spaces and thus can be regarded as points in infinite dimensional spaces. It is sometimes possible to determine qualitative properties of the solutions with respect to changes in the parameters of the model. The study of such properties is often called comparative statics; [15], [2], and [10]. Certain comparative static properties of the maxima have proven to be of particular importance for economic theory, since the works of Slutsky, Hicks, and Samuelson [15]: they have been for- lated in terms of synunetry and negative semidefiniteness of a matrix, called the Slutsky-Hicks-Samuelson matrix. A discussion of this matrix and its applications is given in Section 1. The study of these properties in economic theory, however, has so far been restricted to static models where the choice variable and the parameters are elements in Euclidean spaces, and where there is only one constraint.

Editors and Affiliations

  • Department of Economics, Harvard University, Cambridge, USA

    Jerry Green

Bibliographic Information

  • Book Title: Some Aspects of the Foundations of General Equilibrium Theory

  • Book Subtitle: The Posthumous Papers of Peter J. Kalman

  • Editors: Jerry Green

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-95331-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1978

  • Softcover ISBN: 978-3-540-08918-6Published: 01 August 1978

  • eBook ISBN: 978-3-642-95331-6Published: 06 December 2012

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: VI, 172

  • Topics: Economic Theory/Quantitative Economics/Mathematical Methods

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