Covarrubias, Enrique (2008): Determinacy of equilibria of smooth infinite economies.

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Abstract
This paper deals with generic determinacy of equilibria for infinite dimensional consumption spaces. Our work could be seen as an infinitedimensional analogue of Dierker and Dierker (1972), by characterising equilibria of an economy as a zero of the aggregate excess demand, and studying its transversality. In this case, we can use extensions of the transversality density theorem. Assuming separable utilities, we give a new proof of generic determinacy of equilibria. We define regular price systems in this setting and show that an economy is regular if and only if its associated excess demand function only has regular equilibrium prices. We also define the infinite equilibrium manifold and show that it has the structure of a Banach manifold.
Item Type:  MPRA Paper 

Original Title:  Determinacy of equilibria of smooth infinite economies 
Language:  English 
Keywords:  Determinacy, equilibria, infinite economies, Fredholm maps, equilibrium manifold, Banach manifolds 
Subjects:  D  Microeconomics > D5  General Equilibrium and Disequilibrium > D50  General D  Microeconomics > D5  General Equilibrium and Disequilibrium > D51  Exchange and Production Economies 
Item ID:  9437 
Depositing User:  Enrique Covarrubias 
Date Deposited:  04. Jul 2008 04:35 
Last Modified:  12. Feb 2013 19:45 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/9437 