What distinguishes a pure strategy from a mixed strategy?

A pure strategy is defined by its consistency in decision-making, meaning a player will follow a predetermined plan of action without any variation, regardless of the circumstances or the strategies employed by other players. This approach leads to a specific, unchanging choice each time a decision is required, thereby providing clarity and predictability in behavior. In contrast, a mixed strategy introduces randomness into the decision-making process, where players select from a set of possible actions based on a specific probability distribution.

The concept of a pure strategy captures the essence of strategic decision-making, emphasizing the importance of a steadfast approach in competitive environments. It exemplifies a straightforward commitment to a single action rather than the complexity and variability that come with mixed strategies, which may incorporate elements of chance or randomness in their execution.