Use the Banzhaf power index to determine the power index for each player. Consider the voting system (16: 7, 6, 3, 3, 2). Use the winn coalitions below to find each player's power index. • {P1, P2, P3) • {P1, P2, P4) • (P1, P2, P3, P4) • (P1, P2, P3, P5) • (P1, P2, P4, P5} {P1, P2, P3, P4, P5} b с d P1 = 37.5%, P2 = 35.5%, P3= 12.5%, P4 = 12.5%, P5 = 2% P1 = 37.5%, P2 = 37.5%, P3= 10.5%, P4 = 12.5%, P5 = 0% P1 = 40%, P2 = 34%, P3= 12.5%, P4 = 12.5%, P5 = 0% P1 = 37.5%, P2 = 37.5%, P3= 12.5%, P4 = 12.5%, P5 = 0%
Use the Banzhaf power index to determine the power index for each player. Consider the voting system (16: 7, 6, 3, 3, 2). Use the winn coalitions below to find each player's power index. • {P1, P2, P3) • {P1, P2, P4) • (P1, P2, P3, P4) • (P1, P2, P3, P5) • (P1, P2, P4, P5} {P1, P2, P3, P4, P5} b с d P1 = 37.5%, P2 = 35.5%, P3= 12.5%, P4 = 12.5%, P5 = 2% P1 = 37.5%, P2 = 37.5%, P3= 10.5%, P4 = 12.5%, P5 = 0% P1 = 40%, P2 = 34%, P3= 12.5%, P4 = 12.5%, P5 = 0% P1 = 37.5%, P2 = 37.5%, P3= 12.5%, P4 = 12.5%, P5 = 0%
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use the Banzhaf power index to determine the power index for each player. Consider the voting system (16: 7, 6, 3, 3, 2). Use the winning
coalitions below to find each player's power index.
• {P1, P2, P3}
•
{P1, P2, P4)
•
•
{P1, P2, P3, P4}
{P1, P2, P3, P5}
{P1, P2, P4, P5}
• {P1, P2, P3, P4, P5}
a
b
с
d
P1 = 37.5%, P2 = 35.5%, P3 = 12.5%, P4 = 12.5%, P5 = 2%
P1 = 37.5%, P2 = 37.5%, P3= 10.5%, P4 = 12.5%, P5 = 0%
P1 = 40%, P2 = 34%, P3= 12.5%, P4 = 12.5%, P5 = 0%
P1 = 37.5%, P2 = 37.5%, P3= 12.5%, P4 = 12.5%, P5 = 0%
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