Two brothers, Josh and Nathan, play a game in which actions are Left and Right. The payoff matrix is as follows. Nathan Left Right Josh Left 5,2 5,6 Right 2,4 3,6 Which of the following is true? A) Josh has a dominant strategy to go left and Nathan has a dominant strategy to go right O B) Neither Josh nor Nathan has a dominant strategy. o 9 Josh has a dominant strategy to go right and Nathan has a dominant strategy to go right O D) Josh has a dominant strategy to go right and Nathan has a dominant strategy to go left O E) Josh has a dominant strategy to go left and Nathan has a dominant strategy to go left

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Two brothers, Josh and Nathan, play a game in which actions are
Left and Right. The payoff matrix is as follows.
Nathan
Left
Right
Josh
Left
5,2
5,6
Right
2,4
3,6
Which of the following is true?
O A) Josh has a dominant strategy to go left and Nathan has a
dominant strategy to go right
O B) Neither Josh nor Nathan has a dominant strategy.
o 9 Josh has a dominant strategy to go right and Nathan has a
dominant strategy to go right
O D) Josh has a dominant strategy to go right and Nathan has a
dominant strategy to go left
O E) Josh has a dominant strategy to go left and Nathan has a
dominant strategy to go left
Transcribed Image Text:Two brothers, Josh and Nathan, play a game in which actions are Left and Right. The payoff matrix is as follows. Nathan Left Right Josh Left 5,2 5,6 Right 2,4 3,6 Which of the following is true? O A) Josh has a dominant strategy to go left and Nathan has a dominant strategy to go right O B) Neither Josh nor Nathan has a dominant strategy. o 9 Josh has a dominant strategy to go right and Nathan has a dominant strategy to go right O D) Josh has a dominant strategy to go right and Nathan has a dominant strategy to go left O E) Josh has a dominant strategy to go left and Nathan has a dominant strategy to go left
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