3. Consider the following game in extensive form X- Playert + Player 2 D. (a) What is the normal form of the game? (b) What are the Nash equilibria of the game? Is there any sub-game perfect Nash equilibrium? If the answer is yes, what is the sub-game perfect Nash equilibrium? (c) Suppose now that Player 2 cannot observe the move made by Player 1. Draw the game tree, and then find the perfect Bayesian equilibrium.

Principles of Economics (MindTap Course List)
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Author:N. Gregory Mankiw
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Chapter17: Oligopoly
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3. Consider the following game in extensive form
X- Playert
+ Player 2
()
(a) What is the normal form of the game?
(b) What are the Nash equilibria of the game? Is there any sub-game perfect Nash equilibrium? If the
answer is yes, what is the sub-game perfect Nash equilibrium?
(c) Suppose now that Player 2 cannot observe the move made by Player 1. Draw the game tree, and
then find the perfect Bayesian equilibrium.
Transcribed Image Text:3. Consider the following game in extensive form X- Playert + Player 2 () (a) What is the normal form of the game? (b) What are the Nash equilibria of the game? Is there any sub-game perfect Nash equilibrium? If the answer is yes, what is the sub-game perfect Nash equilibrium? (c) Suppose now that Player 2 cannot observe the move made by Player 1. Draw the game tree, and then find the perfect Bayesian equilibrium.
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