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 BI B2 B3 BI B2 B3 Al 123) (2, 6, 4) (8, 5,2 (6, 2(1,5, 2) (3, 4, 8) 2 2,6) (7,1 2) (3, 1.9) 4. 2. 9) 60) (8, 2, 3) (7, 1.92,2.5L (4, 0, 1) (5, 4, (71) 44. 2) (3, 1, 4) (3,6 225. 1 (8.4.5 (1,6) (S4. 2) (2,8. 2) (8, 7. 5) (3,2 31 A2 13 Payoffs: (A, 8, C) Fig. PE4.10. NE = (A2, B 2,c2)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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
BI
B2
B3
BI B2
B3
BI
B2 B3
Al 12 3) (2, 6, 4) (8, 5,21 (6, L(1,5,3) (3, 4, 8) 2 2,6) (7,1 2) (3, 1.91
2. 9) (60) (8, 2, 3) (7, 1. 0 2,2.5 (4, 0, 1) (5, 4, (7,5. 1) 4, 4. 2)
A3 (3, 1, 4) (3, 6 25. 1 (8,4. S (1,6) (S4. 2) 2.8. 2) (& 7. 5) (3.2 31
A
12
Payoffs: (A, 8, C)
NE = (A2, 82,c2)
Fig. PE4.10.
%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 BI B2 B3 BI B2 B3 BI B2 B3 Al 12 3) (2, 6, 4) (8, 5,21 (6, L(1,5,3) (3, 4, 8) 2 2,6) (7,1 2) (3, 1.91 2. 9) (60) (8, 2, 3) (7, 1. 0 2,2.5 (4, 0, 1) (5, 4, (7,5. 1) 4, 4. 2) A3 (3, 1, 4) (3, 6 25. 1 (8,4. S (1,6) (S4. 2) 2.8. 2) (& 7. 5) (3.2 31 A 12 Payoffs: (A, 8, C) NE = (A2, 82,c2) Fig. PE4.10. %3D
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