9. Consider the weighted voting system [10: 6, 5, 4, 2]. a) Below are listed all possible coalitions from four players. Indicate all losing coalitions by typing Lose into the answer space. For the remaining winning coalitions, type in the critical player(s) in each coalition in ascending order, separated by commas but no spaces (ex. P5,P6). If there are no critical players, type n/a. {P} (P1, P2} {P1, P2, P3} {P1, P2, P3, P4} (P1, P3} {P1, P2, Pa} {P2} {P3} (P1, P4} {P1, P3, P4} (P4} (P2, P3} {P2, P3, Pa} {P2, Pa} {P3, Pa} b) Find the Banzhaf power distribution of this weighted voting system. Type your answer as a percentage to two decimal places, no percentage sign (ex. 50.00). B1 B2 Вз B4

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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9. Consider the weighted voting system [10: 6, 5, 4, 2].
a) Below are listed all possible coalitions from four players. Indicate all losing coalitions by typing Lose into the answer space. For the remaining winning coalitions,
type in the critical player(s) in each coalition in ascending order, separated by commas but no spaces (ex. P5,P6). If there are no critical players, type n/a.
{P;}
{P1, P2, P3,
P4}
{P1, P2}
{P1, P2,
P3}
{P2}
{P1, P3}
КР, Р2,
P4}
{P3}
{P1, P3,
Pa}
{P1, P4}
{P4}
КР 2, Рз,
P4}
{P2, P3}
{P2, P4}
{P3, P4}
b) Find the Banzhaf power distribution of this weighted voting system. Type your answer as a percentage to two decimal places, no percentage sign (ex. 50.00).
B1
B 2
B 3
B 4
Transcribed Image Text:9. Consider the weighted voting system [10: 6, 5, 4, 2]. a) Below are listed all possible coalitions from four players. Indicate all losing coalitions by typing Lose into the answer space. For the remaining winning coalitions, type in the critical player(s) in each coalition in ascending order, separated by commas but no spaces (ex. P5,P6). If there are no critical players, type n/a. {P;} {P1, P2, P3, P4} {P1, P2} {P1, P2, P3} {P2} {P1, P3} КР, Р2, P4} {P3} {P1, P3, Pa} {P1, P4} {P4} КР 2, Рз, P4} {P2, P3} {P2, P4} {P3, P4} b) Find the Banzhaf power distribution of this weighted voting system. Type your answer as a percentage to two decimal places, no percentage sign (ex. 50.00). B1 B 2 B 3 B 4
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