A short note on the definable Debreu map in regular O-minimal equilibrium manifolds

Omar Fdo. Arias-R.

MPRA Paper from University Library of Munich, Germany

Abstract: The 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).

Keywords: O-minimal manifold; cell decomposition; Debreu map; local determinacy (search for similar items in EconPapers)
JEL-codes: D50 D51 (search for similar items in EconPapers)
Date: 2014-01-06
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