Common

Minimax theorem

Gives conditions that guarantee the max–min inequality holds with equality

Minimax theorem

Common card · No. 350828

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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