A very complicated proof of the minimax theorem
Minimax theory and its applications, Tome 1 (2016) no. 1
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The justly celebrated von Neumann minimax theorem has many proofs. Here I reproduce the most complex one I am aware of. This provides a fine didactic example for many courses in convex analysis or functional analysis.
Mots-clés : Minimax theorem, Hahn-Banach theorem, Fenchel duality theorem, weak integrals, barycentre
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Jonathan Borwein. A very complicated proof of the minimax theorem. Minimax theory and its applications, Tome 1 (2016) no. 1. http://geodesic.mathdoc.fr/item/MTA_2016_1_1_a1/