-Consider the game in Figure 6.1. The dominant strategy for the offense is to:
A) Run the ball.
B) Pass the ball.
C) Flip a coin and choose an offensive play at random.
D) This game does not have a dominant strategy mixed strategies.
E) There is not enough information to answer this question.

Question

-Consider the game in Figure 6.1. The dominant strategy for the offense is to:
A) Run the ball. 
B) Pass the ball. 
C) Flip a coin and choose an offensive play at random. 
D) This game does not have a dominant strategy mixed strategies. 
E) There is not enough information to answer this question.

Quizplus · Accepted Answer

A dominant strategy is one that results in the highest payoff for a player, regardless of the opponent's actions. Without seeing Figure 6.1, we can infer from the options given that if neither running nor passing the ball consistently yields a higher payoff compared to the other (and without additional information to determine a clear dominant strategy), flipping a coin to randomize the play could prevent the defense from predicting the offense's actions, potentially optimizing the offense's outcomes in a scenario where mixed strategies are involved. This suggests that in the absence of a dominant pure strategy, a mixed strategy (randomizing actions) might be the best approach.

-Consider the Game in Figure 6