Minimax theorem

The Minimax theorem is a fundamental concept in game theory, explaining how two players can optimize their strategies in competitive scenarios. It states that in zero-sum games—where one player's gain is another's loss—each player can choose a strategy that minimizes their potential maximum loss, effectively planning for the worst-case scenario. Conversely, they seek to maximize their minimum guaranteed gain. This balance ensures that both players adopt strategies that prevent the opponent from gaining an advantage, leading to an equilibrium where neither can improve their outcome unilaterally. It provides a mathematical foundation for strategic decision-making in competitive environments.