American Football Game in an American Football Game, We Can Think That the Think

question 52

Multiple Choice

American Football Game
In an American football game, we can think that the offense has four possible strategies to progress down the field: run the ball, short throws, medium throws, and long throws. The defense has three strategies to try to stop this: counter the run, counter the pass, or blitz the quarterback. Let's say that after studying many games, statisticians have come up with the payoff matrix shown in Figure 1, below, where the numbers in each cell indicate the expected number of yards either gained by the offense or lost by the defense. As you can see, every yard gained by the offense is a yard lost by the defense. As always, the players prefer higher numbers to lower numbers.
Figure 1: American Football Game

-Does the offense have a dominant strategy?

• A) Yes: Run
• B) Yes: Short pass
• C) No
• D) Yes: Medium pass
• E) Yes: Long pass

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