A short note on the definable Debreu map in regular O-minimal equilibrium manifolds
AbstractThe main purpose of this paper is to outline that the definable Debreu map is a local definable diffeomorphism. It implies the equilibrium is locally determined in each connected component partitioning a regular O-minimal equilibrium manifold. It complements the result in Theorem 5 of Arias-R. (2013) and converges to the local determinacy result of definable competitive equilibrium of Blume and Zame (1992).
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 52759.
Date of creation: 06 Jan 2014
Date of revision:
O-minimal manifold; cell decomposition; Debreu map; local determinacy;
Find related papers by JEL classification:
- D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
- D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
This paper has been announced in the following NEP Reports:
- NEP-ALL-2014-01-10 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Debreu, Gerard, 1970.
"Economies with a Finite Set of Equilibria,"
Econometrica, Econometric Society,
Econometric Society, vol. 38(3), pages 387-92, May.
- DEBREU, Gérard, . "Economies with a finite set of equilibria," CORE Discussion Papers RP, UniversitÃ© catholique de Louvain, Center for Operations Research and Econometrics (CORE) -67, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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