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September 1974 - Volume 42 Issue 5 Page 921 - 932


p.921


On the Uniqueness of Competitive Equilibrium: Part II, Bounded Demand

I. F. Pearce
J. Wise

Abstract

It is the purpose of this paper to show first that in a competitive system satisfying a generalized Walras' law all principal minors of order less than n of the Jacobian determinant of the system of excess supply functions will ordinarily change sign somewhere on the domain of all positive prices whether demand is bounded or not. Conditions for uniqueness of equilibrium are proposed for the case of bounded demand which allow minors of the Jacobian to change signs. Unbounded demand was treated in Part I. Existence of equilibrium is proved under a generalized Walras law.

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