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Lecture Notes in Economics and Mathematical Systems

Some Aspects of the Foundations of General Equilibrium Theory

The Posthumous Papers of Peter J. Kalman

Authors: Kalman, P.J.

Editors: Green, J. (Ed.)

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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.

Table of contents (8 chapters)

Table of contents (8 chapters)
  • An Extension of Comparative Statics to a General Class of Optimal Choice Models

    Pages 1-25

    Chichilnisky, G. (et al.)

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

    Pages 27-48

    Kalman, Peter J. (et al.)

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

    Pages 49-60

    Dusansky, Richard (et al.)

  • Comparative Statics of Less Neoclassical Agents

    Pages 61-76

    Chichilnisky, Graciela (et al.)

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

    Pages 77-114

    Kalman, Peter J. (et al.)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-642-95331-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.00
price for USA in USD
  • ISBN 978-3-540-08918-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Some Aspects of the Foundations of General Equilibrium Theory
Book Subtitle
The Posthumous Papers of Peter J. Kalman
Authors
Editors
  • J. Green
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Volume
159
Copyright
1978
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-95331-6
DOI
10.1007/978-3-642-95331-6
Softcover ISBN
978-3-540-08918-6
Series ISSN
0075-8442
Edition Number
1
Number of Pages
VI, 172
Topics

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