1. The Long-run Behaviour of the Patinkin Model.
- Author
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Kuska, Edward A.
- Subjects
ECONOMIC equilibrium ,ECONOMICS ,ECONOMIC models ,ECONOMIC policy ,ECONOMIC demand ,DEMAND function ,NEOCLASSICAL school of economics - Abstract
In this paper I present conditions under which the long run stock equilibrium in Patinkin's general equilibrium model exists, is unique and is globally stable. These conditions are basically that all goods are weak gross substitutes and noninferior The model is developed in Patinkin (1965); Archibald and Lipsey (1958) were, I think, the first writers to study its long run properties. The demonstration of the proposition is a straightforward application of Morishima's (1964) generalizations of the Perron-Frobenius theorems.
Actually, the analysis applies to a somewhat wider class of models than Patinkin's, since the properties of his model which we use are those concerning the homogeneity of the demand and excess demand functions. It is clear that these properties will be true of other money models as well.
I make no particular defense of this model against, for example, the criticisms of Hahn (1965) and Clower (1967). However, the properties of it that I use are standard assumptions in expositions of neoclassical monetary theory (see also Friedman, 1969, and Samuelson, 1968). For that reason alone it seems worthwhile to investigate its long run behavior since it is only in the long run that the principal results of that theory hold. [ABSTRACT FROM AUTHOR]- Published
- 1975
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