Randomized Strategies

Randomized strategies involve making decisions based on chance, rather than always choosing the same action. Instead of following a fixed plan, a player or system uses probabilities to select different options, which can make their behavior less predictable and more adaptable. This approach is useful in scenarios like games or optimization problems, where unpredictability can prevent opponents from exploiting patterns or where solutions benefit from exploring various possibilities. Essentially, randomized strategies balance exploration and exploitation by incorporating randomness into decision-making, often leading to more robust or optimal outcomes in uncertain environments.