-Suppose that a football team is down by 5 points and faces a 4th down with 1 yard to go with 1 second left on the clock. The offense can either run or pass the ball. The defense can either defend against the run or the pass. Refer to Figure 6.2 summarizes the probabilities of each team winning the game. The pure-strategy Nash equilibrium for this game is:
I. {Pass, Pass}.
II. {Run, Run}.
III. {Run, Pass}.
IV. {Pass, Run}.
Which of the following is correct?
A) I only.
B) II only.
C) I and II only.
D) II and III only.
E) None of the above.

Question

-Suppose that a football team is down by 5 points and faces a 4th down with 1 yard to go with 1 second left on the clock. The offense can either run or pass the ball. The defense can either defend against the run or the pass. Refer to Figure 6.2 summarizes the probabilities of each team winning the game. The pure-strategy Nash equilibrium for this game is:
I. {Pass, Pass}.
II. {Run, Run}.
III. {Run, Pass}.
IV. {Pass, Run}.
Which of the following is correct?
A) I only. 
B) II only. 
C) I and II only. 
D) II and III only. 
E) None of the above.

Quizplus · Accepted Answer

A pure-strategy Nash equilibrium occurs when each player's strategy is the best response to the other player's strategy, and no player has an incentive to deviate from their chosen strategy given the other player's strategy. Without the specific probabilities from Figure 6.2, it's impossible to determine which strategies form a Nash equilibrium. Therefore, without additional information, none of the provided options can be confirmed as correct.

-Suppose That a Football Team Is Down by 5 Points