The following 3-player game is written in normal form and has been partially converted to characteristic function form. Complete the conversion. S v(S) Ø Strategies Payoffs (1,1,1) (+1,-1,+1) (1,1,2) (+0, +0, +0) (1,2,1) (+2, +1, -3) (1,2,2) (-1,-1,+1) (2,1,1) (+1, +1, +1) (2,1,2) (-1,+1,-1) (2,2,1) (+1, +0,+0) (2,2,2) (+1, +2,-2) 1 2 3 12 13 23 123 1 -1/3-1/3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 33E
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(f) The following 3-player game is written in normal form and has been partially converted to
characteristic function form. Complete the conversion.
S
v(S)
0
Strategies
Payoffs
(1,1,1) (+1,-1,+1)
(1,1,2) (+0, +0,+0)
(1,2,1) (+2, +1, -3)
(1,2,2) (-1,-1,+1)
(2,1,1) (+1, +1, +1)
(2,1,2)(-1,+1,−1)
(2,2,1) (+1, +0,+0)
(2,2,2) (+1, +2,-2)
1
-1/3-1/3
2 3 12 13 23 123
10
Transcribed Image Text:(f) The following 3-player game is written in normal form and has been partially converted to characteristic function form. Complete the conversion. S v(S) 0 Strategies Payoffs (1,1,1) (+1,-1,+1) (1,1,2) (+0, +0,+0) (1,2,1) (+2, +1, -3) (1,2,2) (-1,-1,+1) (2,1,1) (+1, +1, +1) (2,1,2)(-1,+1,−1) (2,2,1) (+1, +0,+0) (2,2,2) (+1, +2,-2) 1 -1/3-1/3 2 3 12 13 23 123 10
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