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.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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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.
Transcribed Image Text: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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