Use the Banzhaf power index to determine the power index for each player. Consider the voting system {18: 9, 6, 3, 3, 2}. Use the winning coalitions below to find each player's power index. . (P1, Р2, Р3} {P1, P2, P4} • {P1, P2, P3, P4} . (P1, Р2, Р3, Р5) {P1, P2, P4, P5} . (Р1, Р2, Р3, Р4, P5}

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the Banzhaf power index to determine the power index for each player. Consider the voting system {18: 9, 6, 3, 3, 2}. Use the winning
coalitions below to find each player's power index.
. {P1, Р2, Р3}
• {P1, P2, P4}
. {P1, P2, Р3, Р4}
. {P1, Р2, Р3, Р5}
. {P1, P2, Р4, Р5}
. {Р1, Р2, Р3, Р4, P5}
P1 = 33.3%, P2 = 33.3%, P3 = 11.1%, P4 = 11.1%, P5=0%
a
P1 = 37.5%, P2 = 31.5%, P3 = 11.1%, P4 = 11.1%, P5 = 8.8%
P1 = 33.3%, P2 = 33.3%, P3 = 11.1%, P4 = 11.1%, P5 = 3%
d.
P1 = 33.5%, P2 = 37.5%, P3 = 11.1%, P4 = 11.1%, P5 = 6.8%
O O O O
Transcribed Image Text:Use the Banzhaf power index to determine the power index for each player. Consider the voting system {18: 9, 6, 3, 3, 2}. Use the winning coalitions below to find each player's power index. . {P1, Р2, Р3} • {P1, P2, P4} . {P1, P2, Р3, Р4} . {P1, Р2, Р3, Р5} . {P1, P2, Р4, Р5} . {Р1, Р2, Р3, Р4, P5} P1 = 33.3%, P2 = 33.3%, P3 = 11.1%, P4 = 11.1%, P5=0% a P1 = 37.5%, P2 = 31.5%, P3 = 11.1%, P4 = 11.1%, P5 = 8.8% P1 = 33.3%, P2 = 33.3%, P3 = 11.1%, P4 = 11.1%, P5 = 3% d. P1 = 33.5%, P2 = 37.5%, P3 = 11.1%, P4 = 11.1%, P5 = 6.8% O O O O
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