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

Arias-R., Omar Fdo. (2014): A short note on the definable Debreu map in regular O-minimal equilibrium manifolds.

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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).

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