MULTIPLE CHOICE
1. A football team has the chance of scoring the game-winning touchdown on the last play of
the game. It can either run or pass. The defense can play for the run or play for the pass.
The following normal form lists the payoffs from the game made up by this last play. The
payoff...
multiple choice 1 a football team has the chance of scoring the game winning touchdown on the last play of the game it can either run or pass the defense can pl
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TEST
TESTBANK FORCHAPTER
BANK FOR CHAPTER 5 : GAME
5: Game Theory THEORY
MULTIPLE CHOICE
1. A football team has the chance of scoring the game-winning touchdown on the last play of
the game. It can either run or pass. The defense can play for the run or play for the pass.
The following normal form lists the payoffs from the game made up by this last play. The
payoffs are probabilities of winning the game.
Defense
Defend Defend
Pass Run
Offense Pass 0, 1 1, 0
Run 1, 0 0, 1
What is the defense’s dominant strategy?
a. Defend the run.
b. Defend the pass.
c. Defend both plays at random with equal probability.
d. The defense does not have a dominant strategy.
ANS: d
2. 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:
Defense
Defend Defend
Pass Run
Offense Pass .2, .8 .8, .2
Run .8, .2 .2, .8
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.
ANS: d
This study source was downloaded by 100000841341657 from CourseHero.com on 03-23-2022 10:15:45 GMT -05:00
1
3. Consider the same football situation as in the previous question, but now suppose the payoffs
(probabilities of winning) are as given in the following normal form:
Defense
Defend Defend
Pass Run
Offense Pass .2, .8 .3, .7
Run .5, .5 .4, .6
Which team has a dominant strategy?
a. Neither.
b. Both.
c. Only the offense.
d. Only the defense.
ANS: c
4. A football team has the chance of scoring the game-winning touchdown on the last play of
the game. It can either run or pass. The defense can play for the run or play for the pass.
The following normal form lists the payoffs from the game made up by this last play. The
payoffs are probabilities of winning the game.
Defense
Defend Defend
Pass Run
Offense Pass 0, 1 1, 0
Run 1, 0 0, 1
The Nash equilibrium is (equilibria are)
a. the offense runs and the defense plays for the run.
b. the offense passes and the defense plays for the pass.
c. the offense runs and the defense plays for the pass.
d. both pick their choice at random with equal probability.
ANS: d
This study source was downloaded by 100000841341657 from CourseHero.com on 03-23-2022 10:15:45 GMT -05:00
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