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arXiv · 1804.09832

Linear programming on non-compact polytopes and the Kuratowski convergence with application in economics

Anna Denkowska·Maciej Denkowski·Marta Kornafel
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Abstract

The aims of this article are two-fold. First, we give a geometric characterization of the optimal basic solutions of the general linear programming problem (no compactness assumptions) and provide a simple, self-contained proof of it together with an economical interpretation. Then, we turn to considering a dynamic version of the linear programming problem in that we consider the Kuratowski convergence of polyhedra and study the behaviour of optimal solutions. Our methods are purely geometric.

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Anna Denkowska, Maciej Denkowski, Marta Kornafel. 2018-04-25. Linear programming on non-compact polytopes and the Kuratowski convergence with application in economics. https://arxiv.org/abs/1804.09832

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