Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/100130
Authors: 
Accinelli, Elvio
Covarrubias, Enrique
Year of Publication: 
2013
Series/Report no.: 
Working Papers, Banco de México 2013-23
Abstract: 
A stumbling block in the modelling of competitive markets with commodity and price spaces of infinite dimensions, arises from having positive cones with an empty interior. This issue precludes the use of tools of differential analysis, ranging from the definition of a derivative, to the use of more sophisticated results needed to understand determinacy of equilibria and, more generally, the structure of the equilibrium set. To overcome these issues, this paper extends the Preimage Theorem and the Sard-Smale Theorem to maps between spaces that may have an empty interior.
Subjects: 
determinacy
equilibrium manifold
positive cone
JEL: 
D5
D50
D51
Document Type: 
Working Paper
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