Calculate the Shapely-Shubik power index for each voter in the weighted voting system [6: 3, 1, 1, 1, 1, 1, 1].
A) (3/7, 2/21, 2/21, 2/21, 2/21, 2/21, 2/21)
B) (1/2, 1/12, 1/12, 1/12, 1/12, 1/12, 1/12)
C) (1/3, 1/9, 1/9, 1/9, 1/9, 1/9, 1/9)
D) (2/3, 1/18, 1/18, 1/18, 1/18, 1/18, 1/18)

Question

Quizplus · Accepted Answer

The Shapely-Shubik power index for each voter in the weighted voting system [6: 3, 1, 1, 1, 1, 1, 1] is (3/7, 2/21, 2/21, 2/21, 2/21, 2/21, 2/21). This is because the voter with weight 3 is pivotal in 3 out of 7 possible winning coalitions, while each of the voters with weight 1 is pivotal in 2 out of 7 possible winning coalitions.

Calculate the Shapely-Shubik Power Index for Each Voter in the Weighted