Given the weighted voting system [51: 45, 43, 7, 5], which of the following is a blocking coalition?
$I \{ A \}$
II $\{ B , C \}$
III $\{ \mathrm { C } \}$
A) II only
B) I and II
C) I, II, and III
D) none

Question

Given the weighted voting system [51: 45, 43, 7, 5], which of the following is a blocking coalition? 
$I \{ A \}$
II $\{ B , C \}$
III $\{ \mathrm { C } \}$
A) II only
B) I and II
C) I, II, and III
D) none

Quizplus · Accepted Answer

A blocking coalition is a group of voters who, by not joining a coalition, can prevent it from being winning. In a weighted voting system [51: 45, 43, 7, 5], a coalition needs more than 51 votes to win. II $\{ B , C \}$ with 43 + 7 = 50 votes, cannot reach 51 votes, thus can block any coalition from reaching a majority.

Given the Weighted Voting System [51: 45, 43, 7, 5] I{A}I \{ A \}I{A}

Given the Weighted Voting System [51: 45, 43, 7, 5] $I \{ A \}$