Some Aspects of the Foundations of General Equilibrium Theory

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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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.

• Gleichgewicht (Wirtsch.)
• agents
• economics
• equilibrium
• general equilibrium
• general equilibrium theory

• Department of Economics, Harvard University, Cambridge, USA

  Jerry Green

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