An Algebraic Index Theorem for Non-smooth Economies

Gaël Giraud

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Abstract: In this paper, we prove an existence theorem for equilibria in production economies with increasing returns, which generalizes the classic results on this topic. In particular, we eliminate both the free-disposal assumptions and any smoothness requirements on the boundary of the production sets. For this purpose, we propose a new definition of the topological degree for non-convex-valued correspondences defined on non-smooth topological manifolds.

Keywords: non-convex production; topological degree; local homology; increasing returns; Non-smooth production; Production non-lisse; production non-convexe; rendements croissants; degré topologique; homologie locale (search for similar items in EconPapers)
Date: 2001-12-15
Note: View the original document on HAL open archive server: https://hal.science/hal-00460314v1
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Published in Journal of Mathematical Economics, 2001, 36 (4), pp.255-269. ⟨10.1016/S0304-4068(01)00074-X⟩

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Working Paper: An algebraic index theorem for non-smooth economies (2000)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00460314

DOI: 10.1016/S0304-4068(01)00074-X

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