On Farkas' Lemma and Related Propositions in BISH
Logic
2021-01-12 v1
Abstract
In this paper we analyse in the framework of constructive mathematics (BISH) the validity of Farkas' lemma and related propositions, namely the Fredholm alternative for solvability of systems of linear equations, optimality criteria in linear programming, Stiemke's lemma and the Superhedging Duality from mathematical finance, and von Neumann's minimax theorem with application to constructive game theory.
Keywords
Cite
@article{arxiv.2101.03424,
title = {On Farkas' Lemma and Related Propositions in BISH},
author = {Josef Berger and Gregor Svindland},
journal= {arXiv preprint arXiv:2101.03424},
year = {2021}
}