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Saddle Point
Linked via "Player I"
Saddle Points in Game Theory
In two-player zero-sum games, the minimax theorem states that the value of the game is equivalent to the saddle point of the payoff matrix. If $A$ is the payoff matrix for Player I, the saddle point $(i^, j^)$ satisfies:
$$\maxi \minj A{ij} = \minj \maxi A{ij} = A_{i^ j^}$$
This point represents the optimal, stable strategy where neither player benefits from unilaterally changing their choice, assuming …