Given the weighted voting system [6: 4, 3, 2, 1], which of the coalitions listed are blocking coalitions?
I $\{ A , B \}$
II $\{ B , C \}$
III $\{ C , D \}$
A) I only
B) I and II
C) II and III
D) I, II, and III

Question

Given the weighted voting system [6: 4, 3, 2, 1], which of the coalitions listed are blocking coalitions? 
I $\{ A , B \}$
II $\{ B , C \}$
III $\{ C , D \}$
A) I only
B) I and II
C) II and III
D) I, II, and III

Quizplus · Accepted Answer

A blocking coalition is one where the total weight is at least the quota. In this system, the quota is 6. Coalition I has a total weight of 7 (4+3), and Coalition II has a total weight of 5 (3+2), which is not enough to block. Coalition III has a total weight of 3 (2+1), which is also not enough to block. Therefore, only Coalition I is a blocking coalition.

Given the Weighted Voting System [6: 4, 3, 2, 1] {A,B}\{ A , B \}{A,B}

Given the Weighted Voting System [6: 4, 3, 2, 1] $\{ A , B \}$