Equilibrium Theory in Veblen-Scitovsky Economies: Local Uniqueness, Stability and Existence
The idea that prices influence preferences among commodity vectors goes back to the early works of Veblen  and Scitovsky . More recently, Arrow and Hahn  formally considered a general equilibrium model for these types of consumers and proved the existence of a general equilibrium. From a comparative static viewpoint, these types of agents have been investigated by Samuelson , Kalman and Allingham and Morishima , among others.
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- 1.Abraham, R. and J. Robbin, Transversal Mappings and Flows, W.A. Benjamin, Inc., New York, 1967.Google Scholar
- 2.Allingham, M. G. and M. Morishima, “Veblen Effects and Portfolio Selection”, in M. Morishima, Theory of Demand: Real and Monetary, Oxford, England, 1973, pp. 242–270.Google Scholar
- 3.Arrow, K.J. and F. H. Hahn, General Competitive Analysis, Holden-Day, San Francisco, 1971.Google Scholar
- 4.Chichilnisky, G. and P.J. Kalman, “Special Properties of Critical Points and Operators of Parameterized Manifolds in Economics”, Journal of Mathematical Analysis and Applications, Feb., 1977.Google Scholar
- 7.—, “Regular Differentiable Economies”, American Economic Review, May 1976.Google Scholar
- 8.Dieudonnè, J., Foundation of Modern Analysis, Academic Press, New York, 1960.Google Scholar
- 9.Hirsch, M.W., Notes on Differential Topology, Department of Mathematics, University of California, Berkeley, 1973.Google Scholar
- 12.Kelley, J., General Topology, Van Nostrand Co., Princeton, 1960.Google Scholar
- 13.Milnor, J., Topology from a Differentiable Viewpoint, University of Virginia Press, 1965.Google Scholar
- 14.Samuelson, P.A., The Foundations of Economic Analysis, Harvard University Press, Cambridge, Mass., 1947.Google Scholar
- 18.Veblen, T., The Theory of the Leisure Class, Macmillan, New York, 1899.Google Scholar
- 19.Wallace, A. H., Algebraic Topology: Homology and Cohomology, Benjamin, N. Y., 1970.Google Scholar