Given the weighted voting system [4: 2, 2, 2, 1], who is the pivotal voter for the permutation {A, C, B, D}?
A) A
B) B
C) C
D) D

Question

Quizplus · Accepted Answer

To determine the pivotal voter, we need to compare the total voting power of two possible coalitions that could form without the pivotal voter. In this permutation, without B, the remaining voters have a total of 7 votes out of the required 9 votes to win. However, with B, the remaining voters only have a total of 5 votes out of the required 9 votes to win. Therefore, B is the pivotal voter, as their vote can swing the outcome of the election.

Given the Weighted Voting System [4: 2, 2, 2, 1]