Two football teams play against each other. The offense can choose to pass or run, and...

 

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Two football teams play against each other. The offense can choose to pass or run, and the defense can choose to defend against either the pass or run. Depending on the combination of choices, the payoff matrix below shows the average number of yards gained or lost on each play. Since the number of yards gained by the offense equals the number of yards given up (or lost) by the defense, the payoffs to the offense and defense are the same value but opposite in sign. Each cell shows the average gain by the offense (the value on the left) and the average loss by the defense (the value on the right) 4 Offense Pass Run Defense Pass defense Run defense. 10,- 10 1 1 3-3 6. -6 What is the Nash equilibrium for this game? There is no Nash equilibrium using pure strategies, but there must be a Nash equilibrium using mixed strategies. In the mixed strategy Nash equilibrium, the offense should pass with a probability of 0 175, and the defense should use its pass defense with a probability of 5.45 (Enter your responses rounded to two decimal places) If the offense passes with probability 0.42 and runs with probability 0.58 while the defense uses its pass defense with probability 0.75 and run defense with probability 0.25, the offense will gain an average of 4.75 yards per play (Enter) your response rounded to two decimal places.) Two football teams play against each other. The offense can choose to pass or run, and the defense can choose to defend against either the pass or run. Depending on the combination of choices, the payoff matrix below shows the average number of yards gained or lost on each play. Since the number of yards gained by the offense equals the number of yards given up (or lost) by the defense, the payoffs to the offense and defense are the same value but opposite in sign. Each cell shows the average gain by the offense (the value on the left) and the average loss by the defense (the value on the right) 4 Offense Pass Run Defense Pass defense Run defense. 10,- 10 1 1 3-3 6. -6 What is the Nash equilibrium for this game? There is no Nash equilibrium using pure strategies, but there must be a Nash equilibrium using mixed strategies. In the mixed strategy Nash equilibrium, the offense should pass with a probability of 0 175, and the defense should use its pass defense with a probability of 5.45 (Enter your responses rounded to two decimal places) If the offense passes with probability 0.42 and runs with probability 0.58 while the defense uses its pass defense with probability 0.75 and run defense with probability 0.25, the offense will gain an average of 4.75 yards per play (Enter) your response rounded to two decimal places.)