Question

NEED WITHIN THE HOUR!

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

Flag this Question

Question 41 pts

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

Flag this Question

Question 51 pts

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

Flag this Question

Question 61 pts

Player A plays Bottom and Player B plays Left

Group of answer choices

This is a Nash equilibrium

This is NOT a Nash equilibrium

Flag this Question

Question 71 pts

Player A plays Top and Player B plays Right

Group of answer choices

This is a Nash equilibrium

This is NOT a Nash equilibrium

Flag this Question

Question 81 pts

Player A plays Bottom and Player B plays Right

Group of answer choices

This is a Nash equilibrium

This is NOT a Nash equilibrium

Flag this Question

Question 92 pts

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

Flag this Question

Question 102 pts

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

Answer 1

Payoff matrix

A/B	left	right
Top	(5*,5)	(7*,6•)
Bottom	(3,4•)	(6,2)

Q1) option A)

player A has dominant strategy : Top

Bcoz A always gets higher payoff from A, for any choice of B

.

Q41) option D) none of the above

B doesn't have any Dominant strategy

.

Q51) option B) its not NE

NE: ( Top , right)

A plays Top, B plays right

.

Q61) option B)

Not a NE

.

Q71) option A)

Its a NE

.

Q81) option B)

not a NE

.

Q92) option A)

A plays Top, B plays left

A/B	left	right	max	min
Top	(5,5)	(7,6)	6
Bottom	(3,4)	(6,2)	4	Min (left for B)
Max (for A)	5	7
Min	min ( Top for A)

Q102) option C)

SPNE : ( top, right)

A plays top

B plays right