A and B are competitors in the mobile phone industry. Both A and B have to decide whether to participate or not to participate in a Phone for the Future Trade Fair next month. The matrix payoff below shows the profits (USD million) corresponding to their actions. a) What is the Nash equilibrium of the above game? b) Is the Nash equilibrium Pareto Optima? Explain. c) Suppose B is pessimistic of A's rationality, what is B's strategy? Compare and comment on B's strategy in (a) and (c). A Participate Do not participate B Participate Do not participate 400,1000 200,200 500,500 1000,400

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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A and B are competitors in the mobile phone industry. Both A and B have to decide whether to
participate or not to participate in a Phone for the Future Trade Fair next month. The matrix payoff
below shows the profits (USD million) corresponding to their actions.
a) What is the Nash equilibrium of the above game?
b) Is the Nash equilibrium Pareto Optima? Explain.
c) Suppose B is pessimistic of A's rationality, what is B's
strategy? Compare and comment on B's strategy in (a) and (c).
A
Participate Do not participate
B Participate
Do not participate 400,1000 200,200
500,500
1000,400
Transcribed Image Text:A and B are competitors in the mobile phone industry. Both A and B have to decide whether to participate or not to participate in a Phone for the Future Trade Fair next month. The matrix payoff below shows the profits (USD million) corresponding to their actions. a) What is the Nash equilibrium of the above game? b) Is the Nash equilibrium Pareto Optima? Explain. c) Suppose B is pessimistic of A's rationality, what is B's strategy? Compare and comment on B's strategy in (a) and (c). A Participate Do not participate B Participate Do not participate 400,1000 200,200 500,500 1000,400
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