Consider the three-player game depicted in the following figure. If larger payoffs are preferred, does this game have a unique Nash equilibrium? CI C2 C3 B B BI B2 B3 B2 AI 123) (2, 6, 4) (8, 5, (6, . (1,5, 2 (3, 4, 8) , 2, 6) (7,1 2) (3, 1,9) 12 4. 2. 9) 6, 0) (8, 2, 3) (7, 1. 2,2. (4, 0, 1) (5, 4, (7 4 4. 2) (3, 1, 4) (3, 6, 2 2 5. 1 4. (16) 4, 2) 2. 8. 2) (8, 7. 5) (3,23 BI B3 BI B2 B3 13 Payoffs: (A, 8, C) NE = SA2, 82C2 82,02) Fig. PE4.10.

Managerial Economics: A Problem Solving Approach
5th Edition
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Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter15: Strategic Games
Section: Chapter Questions
Problem 6MC
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Consider the three-player game depicted in the following figure. If larger
payoffs are preferred, does this game have a unique Nash equilibrium?
CI
C2
C3
B
B
B
BI
B2
B3
BI
B2
B3
BI
B2
B3
(1.2 3) (2, 6, 4) (8, 5,2 (6, (1, 5, 3) (3, 4, 8) 9, 2,6) (7,1 2) (3, 1,9)
(4, 2. 9) (6 10) (8, 2, 3) (7, 1. 0 12,2.SL (4, 0, I) (5, 4, 1 (7, 1) (4, 4. 2)
(3, 1. 4) (3, 6, 2 5, 1 84. S (1,6) S 4. 2) 2, 8. 2) | (&, 7. 5) (3,2 3)
Al
A
A2
A3
Payoffs: (A, 8, C)
Fig. PE4.10.
NE = (A2, 82, c2
%3D
Transcribed Image Text:Consider the three-player game depicted in the following figure. If larger payoffs are preferred, does this game have a unique Nash equilibrium? CI C2 C3 B B B BI B2 B3 BI B2 B3 BI B2 B3 (1.2 3) (2, 6, 4) (8, 5,2 (6, (1, 5, 3) (3, 4, 8) 9, 2,6) (7,1 2) (3, 1,9) (4, 2. 9) (6 10) (8, 2, 3) (7, 1. 0 12,2.SL (4, 0, I) (5, 4, 1 (7, 1) (4, 4. 2) (3, 1. 4) (3, 6, 2 5, 1 84. S (1,6) S 4. 2) 2, 8. 2) | (&, 7. 5) (3,2 3) Al A A2 A3 Payoffs: (A, 8, C) Fig. PE4.10. NE = (A2, 82, c2 %3D
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