In a mixed strategy, how is the choice made?

In a mixed strategy, the choice is made by assigning specific probabilities to each available action or strategy and then randomly selecting among them according to those probabilities. This approach is particularly relevant in game theory, where players may utilize mixed strategies to keep their opponents uncertain about their next move. By employing randomized decision-making, players can effectively prevent their opponents from gaining an advantage through predictable behavior.

The use of set probabilities allows for a balance between different strategies, making it more challenging for adversaries to anticipate and counteractions. This contrasts with fixed rules or complete certainty, both of which would imply a more deterministic approach without the element of randomization. Additionally, relying solely on observations of past behavior could lead to a biased or outdated understanding of the optimal strategy if circumstances change. Thus, the essence of a mixed strategy lies in its probabilistic nature, engaging randomness as a tactical element in decision-making.