Minimax theorem
Gives conditions that guarantee the max–min inequality holds with equality
Gives conditions that guarantee the max–min inequality holds with equality
In the mathematical area of game theory and of convex optimization, a minimax theorem is a theorem that claims that max x ∈ X min y ∈ Y f ( x , y ) = min y ∈ Y max x ∈ X f ( x , y ) {\displaystyle \max _{x\in X}\min _{y\in Y}f(x,y)=\min _{y\in Y}\max _{x\in X}f(x,y)} under certain conditions on the sets X {\displaystyle X} and Y {\displaystyle Y} and on the function f {\displaystyle f}...
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