QUESTION 4. Consider the following game. Player 1's payoffs are listed first, in bold: P2 W X Y A 200, 300 100, 500 300 3 1 " " B P1 0, 300 0 400 0 500 0, 3 C 20, 300 10, 300 310, 400 50 2 I a. Does either player have any weakly dominant strategies? List it/them or explain why not. b. Does either player have any strictly dominated strategies? If yes, list it/them. C. If the game were played sequentially with Player 1 going first, what is the subgame perfect Nash equilibrium? Z 500

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
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QUESTION 4.
Consider the following game. Player 1's payoffs are listed first, in bold:
P2
W
X
Y
Z
200,
A
100,
500
300,
300
500,
3
1
B
0,
300
400
3
0,
0
P1
500
0
"
C
20, 300
10, 300
50 2
310 400
a. Does either player have any weakly dominant strategies? List it/them or explain why not.
b. Does either player have any strictly dominated strategies? If yes, list it/them.
C. If the game were played sequentially with Player 1 going first, what is the subgame perfect Nash
equilibrium?
Transcribed Image Text:QUESTION 4. Consider the following game. Player 1's payoffs are listed first, in bold: P2 W X Y Z 200, A 100, 500 300, 300 500, 3 1 B 0, 300 400 3 0, 0 P1 500 0 " C 20, 300 10, 300 50 2 310 400 a. Does either player have any weakly dominant strategies? List it/them or explain why not. b. Does either player have any strictly dominated strategies? If yes, list it/them. C. If the game were played sequentially with Player 1 going first, what is the subgame perfect Nash equilibrium?
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