Player B

Left Right

Top 4 5 1 4

Player A

Bottom 5 1 3 8

Suppose that two players are playing the following game. Player A can choose either Top or Bottom, and Player B can choose either Left or Right. The payoffs are given in the following table where the number on the left is the payoff to Player A, and the number on the right is the payoff to Player B.

Does Player A have a dominant strategy? If so, what is it?

Group of answer choices

Top is a dominant strategy for Player A

Bottom is a dominant strategy for Player A

Both of the above

None of the above

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Question 4

1pts

Does Player B have a dominant strategy? If so, what is it?

Group of answer choices

Left is a dominant strategy for Player B

Right is a dominant strategy for Player B

Both of the above

None of the above

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Question 5

1pts

For the next four questions, you'll be asked whether a strategy combination is a Nash equilibrium or not. Player A plays Top and Player B plays Left

Group of answer choices

This is a Nash equilibrium

This is NOT a Nash equilibrium

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Question 6

1pts

Player A plays Bottom and Player B plays Left

Group of answer choices

This is a Nash equilibrium

This is NOT a Nash equilibrium

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Question 7

1pts

Player A plays Top and Player B plays Right

Group of answer choices

This is a Nash equilibrium

This is NOT a Nash equilibrium

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Question 8

1pts

Player A plays Bottom and Player B plays Right

Group of answer choices

This is a Nash equilibrium

This is NOT a Nash equilibrium

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Question 9

2pts

If each player plays her maximin strategy, what will be the outcome of the game?

Group of answer choices

Player A plays Top and Player B plays Left

Player A plays Bottom and Player B plays Left

Player A plays Top and Player B plays Right

Player A plays Bottom and Player B plays Right

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Question 10

2pts

Now suppose the same game is played with the exception that Player A moves first and Player B moves second. Using the backward induction method discussed in the online class notes, what will be the outcome of the game?

Group of answer choices

Player A plays Top and Player B plays Left

Player A plays Bottom and Player B plays Left

Player A plays Top and Player B plays Right

Player A plays Bottom and Player B plays Right