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Microeconomic Theory

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.9P

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Question

Consider the following simultaneous-move three-player game:
Player 3
A
B
C
Player 1,
L
R
L
R
L
R
Player 2
U
2,2,5
5,5,1 9,9,1
4,2,1
4,2,2
0,0,2
D
6,6,8
0,5,6
0,2,7
8,8,5
0,0,8
4,2,8
Which statement is true?
There are exactly two Pareto efficient outcomes of the game.
Action B is strictly dominant.
There are exactly two pure-strategy Nash equilibria of this game.
There are no mixed-strategy Nash equilibria of the game.
There are no pure-strategy Nash equilibria of this game.

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