The Minimax Theorem

The Minimax Theorem is a principle in game theory that shows, in competitive situations, players choose strategies to maximize their minimum possible gain (or minimize their maximum possible loss). It ensures that in zero-sum games—where one player's gain is another's loss—there's an optimal strategy that guarantees the best outcome against any opponent's move. Essentially, it's about minimizing potential losses while maximizing potential gains, leading to a balanced, predictable outcome where both players play optimally. This theorem underpins strategic decision-making in areas like economics, politics, and artificial intelligence.