caa a22 4500 463169921 CHVBK 20180406164810.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s10957-007-9164-6 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9164-6 On Linear Programming Duality and Necessary and Sufficient Conditions in Minimax Theory [Elektronische Daten] [J. Frenk, P. Kas, G. Kassay] 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. Springer Science+Business Media, LLC, 2007 Minimax theory nationallicence Game theory nationallicence Lagrangian duality nationallicence Linear programming duality nationallicence Frenk J. Econometric Institute, Erasmus University, Rotterdam, Netherlands aut Kas P. Department of Mathematics, Eastern Mediterranean University, TRNC, Gazimagusa, Turkey aut Kassay G. Faculty of Mathematics and Computer Science, Babes-Bolyai University, Cluj, Romania aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/3(2007-03-01), 423-439 0022-3239 132:3<423 2007 132 10957 https://doi.org/10.1007/s10957-007-9164-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9164-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Frenk J. Econometric Institute, Erasmus University, Rotterdam, Netherlands aut NATIONALLICENCE 700 1- Kas P. Department of Mathematics, Eastern Mediterranean University, TRNC, Gazimagusa, Turkey aut NATIONALLICENCE 700 1- Kassay G. Faculty of Mathematics and Computer Science, Babes-Bolyai University, Cluj, Romania aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/3(2007-03-01), 423-439 0022-3239 132:3<423 2007 132 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer