Consider the same football situation as in the previous question,but now suppose the probabilities of winning are less extreme than before,given by the following normal form: What is the defense's dominant strategy?
A) Defend the run.
B) Defend the pass.
C) Defend both play at random with equal probability.
D) The defense does not have a dominant strategy.

Question

Consider the same football situation as in the previous question,but now suppose the probabilities of winning are less extreme than before,given by the following normal form:  What is the defense's dominant strategy?
A) Defend the run. 
B) Defend the pass. 
C) Defend both play at random with equal probability. 
D) The defense does not have a dominant strategy.

Quizplus · Accepted Answer

In this normal form, there is no dominant strategy for the defense. This can be seen by comparing the payoff for each of the defense's possible strategies (defending the run, defending the pass, or defending both at random with equal probability) against the offense's strategies (running or passing). Depending on the probabilities of winning, defending one way or the other may lead to a higher payoff, so the defense will have to choose its strategy based on the situation at hand.

Consider the Same Football Situation as in the Previous Question,but