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1. Saddle Point

   Linked via "strategy"

   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 the other player holds firm. The …