In this note we review some known minimax theorems with applications in game theory and show that these results form an equivalent chain which includes the strong separation result in finite dimensional spaces between two disjoint closed convex sets of which one is compact. By simplifying the proofs we intend to make the results more accessible to researchers not familiar with minimax or noncooperative game theory.

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Econometric Institute Research Papers
Report / Econometric Institute, Erasmus University Rotterdam
Erasmus School of Economics

Frenk, H., & Kassay, G. (2005). On noncooperative games and minimax theory (No. EI 2005-22). Report / Econometric Institute, Erasmus University Rotterdam. Retrieved from