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Minimax Theorem

The starting point of game theory.

📜

The statement of the theorem

For every two-person, zero-sum game with finite strategies, there exists a value

V

and a mixed strategy for each player such that the expected payoff is

V

.\n

\max_{x} \min_{y} x^T A y = \min_{y} \max_{x} x^T A y = V

Source: Wikipedia