Kas, P. http://repub.eur.nl/res/aut/4309/ List of Publications en http://repub.eur.nl/static-eur/img/logo.png RePub, Erasmus University Rotterdam http://repub.eur.nl On Linear Programming Duality and Necessary and Sufficient Conditions in Minimax Theory (Article) http://repub.eur.nl/res/pub/19261/ 2007-03-01T00:00:00Z In this paper we discuss necessary and sufficient conditions for different minimax results to hold using only linear programming duality and the finite intersection property for compact sets. It turns out that these necessary and sufficient conditions have a clear interpretation within zero-sum game theory. We apply these results to derive necessary and sufficient conditions for strong duality for a general class of optimization problems. On linear programming duality and necessary and sufficient conditions in minimax theory (Research Paper) http://repub.eur.nl/res/pub/1219/ 2004-04-14T00:00:00Z In this paper we discuss necessary and sufficient conditions for different minimax results to hold using only linear programming duality and the finite intersection property of compact sets. It turns out that these necessary and sufficient conditions have a clear interpretation within zero-sum game theory. In the last section we apply these results to derive necessary and sufficient conditions for strong Lagrangean duality for a large class of optimization problems.