The table below shows the payoff matrix of two supermarkets, ABC and XYZ, each has two pricing strategies, to raise price or lower price of groceries. The figures in the matrix show the profits earned by each firm ABC Raise Price Lower Price Raise Price $40m for ABC $37m for XYZ $31m for ABC $28m for XYZ XYZ Lower Price $20m for ABC $33m for XYZ $70m for ABC $56m for XYZ (a) Solve this game using the Nash equilibrium metho and explain whether this game is a prisoner's dilemma game. (b) If the game become a sequential game and ABC g to move first, construct the decision tree diagram and so the sequential game using roll back method.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter14: Monopolistic Competition And Product Differentiation
Section: Chapter Questions
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The table below shows the payoff matrix of two
supermarkets, ABC and XYZ, each has two pricing
strategies, to raise price or lower price of groceries. The
figures in the matrix show the profits earned by each firm.
ABC
Raise Price
Lower Price
Raise Price
$40m for ABC
$37m for XYZ
$31m for ABC
$28m for XYZ
XYZ
Lower Price
$20m for ABC
$33m for XYZ
$70m for ABC
$56m for XYZ
(a) Solve this game using the Nash equilibrium method
and explain whether this game is a prisoner's dilemma
game.
(b) If the game become a sequential game and ABC gets
to move first, construct the decision tree diagram and solve
Sthe sequential game using roll back method.
SINGAPORE UNIVERSITY
Transcribed Image Text:The table below shows the payoff matrix of two supermarkets, ABC and XYZ, each has two pricing strategies, to raise price or lower price of groceries. The figures in the matrix show the profits earned by each firm. ABC Raise Price Lower Price Raise Price $40m for ABC $37m for XYZ $31m for ABC $28m for XYZ XYZ Lower Price $20m for ABC $33m for XYZ $70m for ABC $56m for XYZ (a) Solve this game using the Nash equilibrium method and explain whether this game is a prisoner's dilemma game. (b) If the game become a sequential game and ABC gets to move first, construct the decision tree diagram and solve Sthe sequential game using roll back method. SINGAPORE UNIVERSITY
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