Local and Global Optima: Sheaves and Polynomial Approximations
Theoretical Economics
2025-03-18 v1
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.
Cite
@article{arxiv.2503.12672,
title = {Local and Global Optima: Sheaves and Polynomial Approximations},
author = {Fernando Tohmé},
journal= {arXiv preprint arXiv:2503.12672},
year = {2025}
}