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Local and Global Optima: Sheaves and Polynomial Approximations

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  • Fernando Tohm'e

Abstract

In this paper, we analyze how global optima of an agent's preferences can be reconstructed from the solutions found for local problems. A sheaf-theoretic analysis provides an abstract characterization of the global solution, and polynomial approximations are obtained when only a few local instances are available.

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  • Fernando Tohm'e, 2025. "Local and Global Optima: Sheaves and Polynomial Approximations," Papers 2503.12672, arXiv.org.
    • Handle: RePEc:arx:papers:2503.12672
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    1. Efe A. Ok, 2007. "Preliminaries of Real Analysis, from Real Analysis with Economic Applications," Introductory Chapters, in: Real Analysis with Economic Applications, Princeton University Press.
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