Does either firm have a dominant strategy? Firm 1's dominant strategy does not exist does not exist and Firm 2's do Does this game have a unique, pure-strategy Nash equilibrium?

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ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter17: Oligopoly
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Two firms face the following payoff matrix shown to the right. Given these profits,
Firm 2 wants to match Firm 1's price, but Firm 1 does not want to match Firm 2's
price.
Does either firm have a dominant strategy?
Firm 1's dominant strategy does not exist
does not exist
and Firm 2's dominant strategy
Does this game have a unique, pure-strategy Nash equilibrium?
O A. The Nash equilibrium is for Firm 1 to pick the high price and for Firm 2 to
pick the low price.
B. The Nash equilibrium is for Firm 1 to pick the low price and for Firm 2 to
pick the high price.
C. The Nash equilibrium is for both firms to pick the low price.
D. The game does not have a pure-strategy Nash equilibrium.
E. The Nash equilibrium is for both firms to pick the high price.
Transcribed Image Text:Two firms face the following payoff matrix shown to the right. Given these profits, Firm 2 wants to match Firm 1's price, but Firm 1 does not want to match Firm 2's price. Does either firm have a dominant strategy? Firm 1's dominant strategy does not exist does not exist and Firm 2's dominant strategy Does this game have a unique, pure-strategy Nash equilibrium? O A. The Nash equilibrium is for Firm 1 to pick the high price and for Firm 2 to pick the low price. B. The Nash equilibrium is for Firm 1 to pick the low price and for Firm 2 to pick the high price. C. The Nash equilibrium is for both firms to pick the low price. D. The game does not have a pure-strategy Nash equilibrium. E. The Nash equilibrium is for both firms to pick the high price.
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