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
Englisch

Bibliographic citation
Series: Working Papers ; No. 2013-23

Classification
Wirtschaft
General Equilibrium and Disequilibrium: General
Exchange and Production Economies
Subject
determinacy
equilibrium manifold
positive cone

Event
Geistige Schöpfung
(who)
Accinelli, Elvio
Covarrubias, Enrique
Event
Veröffentlichung
(who)
Banco de México
(where)
Ciudad de México
(when)
2013

Handle
Last update
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

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