Amanda and Bella are playing a game in which they choose strategies by pushing buttons. They are isolated, in separate rooms, choose simultaneously, and do not know whom they are playing. Amanda's strategies are to punch the red or the green button, while Bella's strategies are to punch the blue or the yellow button. The payoff table is: Amanda Red Green Bella Blue Yellow 0,0 2,1000 1,2 3,1 Are there any dominant strategies? Is so, what are they? Is there a dominant strategy equilibrium? If so, what is it?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
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Amanda and Bella are playing a game in which they choose strategies by pushing
buttons. They are isolated, in separate rooms, choose simultaneously, and do not
know whom they are playing. Amanda's strategies are to punch the red or the green
button, while Bella's strategies are to punch the blue or the yellow button.
The payoff table is:
Amanda
Red
Green
Bella
Blue
Yellow
0,0
2,1000
1,2
3,1
Are there any dominant strategies? Is so, what are they? Is there a dominant strategy
equilibrium? If so, what is it?
Transcribed Image Text:Amanda and Bella are playing a game in which they choose strategies by pushing buttons. They are isolated, in separate rooms, choose simultaneously, and do not know whom they are playing. Amanda's strategies are to punch the red or the green button, while Bella's strategies are to punch the blue or the yellow button. The payoff table is: Amanda Red Green Bella Blue Yellow 0,0 2,1000 1,2 3,1 Are there any dominant strategies? Is so, what are they? Is there a dominant strategy equilibrium? If so, what is it?
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