Consider the three player normal form game described by the payoff matrices below. Players 1 and 2 have two choices each while player 3 has three choices. Player 3 choices correspond to each of the three matrices. Player 3 chooses U: L 1,0.1 0,1,0 0,1,0 1,0,0 Player 3 chooses M: 1,1,1 -1,-1,1 -1,-1,1 1,1,1 Player 3 chooses D: R 1,0,0 0,1,1 0,1,0 1.0.0 Which of the following statements is true?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter13: best-practice Tactics: Game Theory
Section: Chapter Questions
Problem 8E
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Consider the three player normal form game described by the payoff matrices below. Players 1 and 2 have two choices each while player 3 has three choices. Player 3 choices correspond to each of the three matrices.
Player 3 chooses U:
R
0,1,0
1,0,1
0,1,0
1,0,0
Player 3 chooses M:
R
|-1,-1,1
1,1,1
1,1,1
-1,-1,1
Player 3 chooses D:
R
0,1,0
1,0,0
1,0.0
0,1,1
Which of the following statements is true?
O Uis a strongly dominant action for player 3.
O M is a strongly dominant action for player 3.
O Dis a strongly dominant action for player 3.
O Player 3 has no strongly dominant action.
Transcribed Image Text:Consider the three player normal form game described by the payoff matrices below. Players 1 and 2 have two choices each while player 3 has three choices. Player 3 choices correspond to each of the three matrices. Player 3 chooses U: R 0,1,0 1,0,1 0,1,0 1,0,0 Player 3 chooses M: R |-1,-1,1 1,1,1 1,1,1 -1,-1,1 Player 3 chooses D: R 0,1,0 1,0,0 1,0.0 0,1,1 Which of the following statements is true? O Uis a strongly dominant action for player 3. O M is a strongly dominant action for player 3. O Dis a strongly dominant action for player 3. O Player 3 has no strongly dominant action.
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