Consider a 2-player game with strategy sets S subscript 1 equals open curly brackets a comma b close curly brackets for player 1 and S subscript 2 equals left curly bracket c comma d right curly bracket for player 2. Which statement is true if player 1 has no dominant strategy? Strategy b guarantees player 1 the best possible payoff, no matter what strategy player 2 chooses. Depending on what strategy player 2 chooses, sometimes strategy a leads to a (weakly) higher payoff for player 1 than strategy b, and sometimes strategy b leads to a (weakly) higher payoff for player 1 than strategy a. We cannot say whether any of the other 3 alternatives is true. Strategy a guarantees player 1 the best possible payoff, no matter what strategy player 2 chooses