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G. Fuchs, “Private Ownership Economies with a Nite Num ber of Equilibria,” Journal of Mathematical Economics, Vol. 1, No. 2, 1974, pp. 141-158.

has been cited by the following article:

• TITLE: The Catastrophe Map of a Two Period Production Model with Uncertainty

  AUTHORS: Pascal Stiefenhofer

  KEYWORDS: Differential Topologyl; General Equilibrium; Uncertainty; Production

  JOURNAL NAME: Applied Mathematics, Vol.4 No.8A, July 25, 2013

  ABSTRACT: This paper shows existence and efficiency of equilibria of a two period production model with uncertainty as a consequence of the catastrophe map being smooth and proper. Its inverse mapping defines a finite covering implying finiteness of equilibria. Beyond the extraction of local equilibrium information of the model, the catastrophe map renders itself well for a global study of the equilibrium set. It is shown that the equilibrium set has the structure of a smooth submanifold of the Euclidean space which is diffeomorphic to the sphere implying connectedness, simple connectedness, and contractibility.