Question 15.37

5.

  1. Which games have saddlepoints?
  2. Find the maximin strategy of Player I, the minimax strategy of Player II, and the value for the games given in part (a).
  3. List strategies in these games that the players should avoid because the resulting payoffs are worse than the payoffs for some alternative strategy.

5.

(a) This game has a saddlepoint.

(b) The maximin strategy is row 3; the minimax strategy is column 3; the value is −20.

(c) None of Player I’s row strategies are dominated; Player II’s column 3 dominates both columns 1 and 2.