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

Author

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  • Arias-R., Omar Fdo.

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).

Suggested Citation

  • Arias-R., Omar Fdo., 2014. "A short note on the definable Debreu map in regular O-minimal equilibrium manifolds," MPRA Paper 52759, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:52759
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    References listed on IDEAS

    as
    1. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    2. Ryo Nagata, 2004. "Theory of Regular Economies," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 5543, August.
    3. Arias-R., Omar Fdo., 2013. "A remark on definable paths in regular O-minimal equilibrium manifolds," MPRA Paper 51820, University Library of Munich, Germany.
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    More about this item

    Keywords

    O-minimal manifold; cell decomposition; Debreu map; local determinacy;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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