04 Jun Question Question 1 A football team has the chance of
Question
Question 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.
Offense
Defense
Defend Pass Defend Run
Pass 0, 1 1, 0
Run 1, 0 0, 1
The Nash equilibrium is (equilibria are)
Answer
the offense runs and the defense plays for the run.
the offense passes and the defense plays for the pass.
the offense runs and the defense plays for the pass.
both pick their choice at random with equal probability.
5 points
Question 2
The game of Matching Pennies
Answer
has no Nash equilibrium.
has a pure-strategy Nash equilibrium.
has a mixed strategy Nash equilibrium.
has multiple Nash equilibria.
5 points
Question 3
The beauty of Nash’s equilibrium concept is that
Answer
all games have one.
all games have no more than one.
all games have a rich set to choose from.
it is a Pareto optimum.
5 points
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