a. Find the Nash equilibria, if any, in the game above. For each equilibrium, justify why it is a Nash equilibrium in a few sentences. b. Suppose this game was to be played infinitely many times between the two players. Find a condition for 8 such that the Pareto-optimal outcome can be attained. Find this for both T

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.6P
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Player 1
U
D
L
3,3
5,0
Player 2
R
0,5
1,1
a. Find the Nash equilibria, if any, in the game above. For each equilibrium, justify why it is
a Nash equilibrium in a few sentences.
b. Suppose this game was to be played infinitely many times between the two players. Find
a condition for 8 such that the Pareto-optimal outcome can be attained. Find this for both
players playing Grim Trigger in the infinite game.
Transcribed Image Text:Player 1 U D L 3,3 5,0 Player 2 R 0,5 1,1 a. Find the Nash equilibria, if any, in the game above. For each equilibrium, justify why it is a Nash equilibrium in a few sentences. b. Suppose this game was to be played infinitely many times between the two players. Find a condition for 8 such that the Pareto-optimal outcome can be attained. Find this for both players playing Grim Trigger in the infinite game.
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