10. Consider the weighted voting system [5: 3, 2, 1, 1). a) Which players are critical in the winning coalition of {P1, P3, P4}? P1 P3 • Pa b) 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, Pa} {P2} (P1, P3} (P1, P2, Pa} {P3} (P1, Pa} {P1, P3, Pa} (Pa} P2, P3} (P2, P3, Pa} (P2, Pa} (P3, Pa} c) 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 B 3 B4
10. Consider the weighted voting system [5: 3, 2, 1, 1). a) Which players are critical in the winning coalition of {P1, P3, P4}? P1 P3 • Pa b) 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, Pa} {P2} (P1, P3} (P1, P2, Pa} {P3} (P1, Pa} {P1, P3, Pa} (Pa} P2, P3} (P2, P3, Pa} (P2, Pa} (P3, Pa} c) 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 B 3 B4
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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![10. Consider the weighted voting system [5: 3, 2, 1, 1].
a) Which players are critical in the winning coalition of {P1, P3, P4}? P1
• P3
P4
b) 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.
{P1}
{P1, P2,
P3}
КР1, Р2, Рз,
P4}
{P1, P2}
{P2}
{P1, P2,
Pa}
Р, Рз}
{P3}
КР1, Рз,
P4}
{P1, P4}
{P4}
КР2, Рз
P4}
{P2, P3}
{P2, P4}
{P3, P4}
c) 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
В з
4
B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c391162-9195-45f3-90d3-bf22c5f933af%2F22ce5272-00c3-4810-b251-54d40aa7b1aa%2Floldlxf_processed.png&w=3840&q=75)
Transcribed Image Text:10. Consider the weighted voting system [5: 3, 2, 1, 1].
a) Which players are critical in the winning coalition of {P1, P3, P4}? P1
• P3
P4
b) 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.
{P1}
{P1, P2,
P3}
КР1, Р2, Рз,
P4}
{P1, P2}
{P2}
{P1, P2,
Pa}
Р, Рз}
{P3}
КР1, Рз,
P4}
{P1, P4}
{P4}
КР2, Рз
P4}
{P2, P3}
{P2, P4}
{P3, P4}
c) 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
В з
4
B.
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