Question 5 Consider the following game in normal form: L C R U 3,1 5,0 0,0 M 2,0 4,4 0,0 D 0,0 0, 1 0,0 This stage game is infinitely repeated. The players' discount factor is 8 = (0,1). i. ii. Use Friedman Folk Theorem and a graph to identify the set of payoffs that can arise in a SPNE when 8 is sufficiently close to one. Give the precise strategies for player 1 and player 2 that would generate an average payoff of 4 for each player. Calculate the minimum value of 8 that will make your strategy profile a SPNE.
Question 5 Consider the following game in normal form: L C R U 3,1 5,0 0,0 M 2,0 4,4 0,0 D 0,0 0, 1 0,0 This stage game is infinitely repeated. The players' discount factor is 8 = (0,1). i. ii. Use Friedman Folk Theorem and a graph to identify the set of payoffs that can arise in a SPNE when 8 is sufficiently close to one. Give the precise strategies for player 1 and player 2 that would generate an average payoff of 4 for each player. Calculate the minimum value of 8 that will make your strategy profile a SPNE.
Principles of Microeconomics (MindTap Course List)
8th Edition
ISBN:9781305971493
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter17: Oligopoly
Section: Chapter Questions
Problem 9PA
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Question

Transcribed Image Text:Question 5
Consider the following game in normal form:
L
C
R
U
3,1
5,0
0,0
M
2,0 4,4 0,0
D
0,0
0, 1 0,0
This stage game is infinitely repeated. The players' discount factor is 8 = (0,1).
i.
ii.
Use Friedman Folk Theorem and a graph to identify the set of payoffs that can arise
in a SPNE when 8 is sufficiently close to one.
Give the precise strategies for player 1 and player 2 that would generate an average
payoff of 4 for each player. Calculate the minimum value of 8 that will make your
strategy profile a SPNE.
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