Exercise 1. Consider the following two person game. Player 2 L R Player 1 T B 4,1 5,2 8,7 3,6 (1) Are there any pure strategy equilibria for this game? If so, find all such equilibria. If not, explain why you know there are no pure strategy equilibria. (2) Are there any other equilibria in mixed strategies? If so, find them.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Exercise 1. Consider the following two person game.
Player 2
L R
4,1 5,2
8,7 3,6
(1) Are there any pure strategy equilibria for this game? If so, find
all such equilibria. If not, explain why you know there are no
pure strategy equilibria.
(2) Are there any other equilibria in mixed strategies? If so, find
them.
Player 1
T
B
Transcribed Image Text:Exercise 1. Consider the following two person game. Player 2 L R 4,1 5,2 8,7 3,6 (1) Are there any pure strategy equilibria for this game? If so, find all such equilibria. If not, explain why you know there are no pure strategy equilibria. (2) Are there any other equilibria in mixed strategies? If so, find them. Player 1 T B
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