Arbeitspapier
An extension of the sard-smale theorem to domains with an empty interior
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.
- Language
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Englisch
- Bibliographic citation
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Series: Working Papers ; No. 2013-23
- Classification
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Wirtschaft
General Equilibrium and Disequilibrium: General
Exchange and Production Economies
- Subject
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determinacy
equilibrium manifold
positive cone
- Event
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Geistige Schöpfung
- (who)
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Accinelli, Elvio
Covarrubias, Enrique
- Event
-
Veröffentlichung
- (who)
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Banco de México
- (where)
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Ciudad de México
- (when)
-
2013
- Handle
- Last update
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10.03.2025, 11:45 AM CET
Data provider
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Object type
- Arbeitspapier
Associated
- Accinelli, Elvio
- Covarrubias, Enrique
- Banco de México
Time of origin
- 2013