1) Refer to the weighted voting system [50: 30, 20, 16, 8]. The Banzhaf power distribution of the weighted voting system is:

Group of answer choices

P1: 1/4P2: 1/4P3: 1/4,P4: 1/4

P1: 5/10P2: 2/10P3: 2/10,P4: 1/10

P1: 5/10P2: 3/10P3: 1/10,P4: 1/10

P1: 5/10P2: 3/10P3: 2/10,P4: 0

P1: 5/10P2: 4/10P3: 1/10,P4: 0

2) Refer to the weighted voting system [15: 9, 8, 7], and the Shapley-Shubik definition of power. The number of sequential coalitions is

Group of answer choices

5

6

30

24

25

3) Refer to the weighted voting system [15: 9,8,7] and the Shapley-Shubik definition of power. Which member of the sequential coalition <P2,P3,P1> is pivotal?

Group of answer choices

None of them are pivotal players.

P3

P1

P2

4) Refer to the weighted voting system [15: 9, 8, 7], and the Shapley-Shubik definition of power. The Shapley-Shubik power distribution of the weighted voting system is

Group of answer choices

P1: 2/3P2: 1/3P3: 0

P1: 2/3P2: 1/6P3: 1/6

P1: 1/3P2: 1/3P3: 1/3

P1: 1/2P2: 1/2P3: 0

5) Using the Shapley-Shubik Power Distribution and the weighted voting system [12: 7, 5, 3], what is the value of the power index for player 1 (what is 1)?

Group of answer choices

2/3

1/3

1/6

1/2

3/5