Consider the weighted voting system [q: 8, 4, 2]. Find the smallest value of q f
ID: 3195241 • Letter: C
Question
Consider the weighted voting system [q: 8, 4, 2]. Find the smallest value of q for which (a) all players have veto power. (b) P2 has veto power but P3 does not.Answer these questions (1 and 2) below with a step by step explanation on how to solve this:
(a) the smallest value of q is ____
(b). the smallest value of q is ____
Consider the weighted voting system [q: 17, 9, 6, 5, 2]. Find the smallest value of q for which
(a) the smallest value of q is ____
(b) the smallest value of q is ___ Consider the weighted voting system [q: 8, 4, 2]. Find the smallest value of q for which (a) all players have veto power. (b) P2 has veto power but P3 does not.
Answer these questions (1 and 2) below with a step by step explanation on how to solve this:
(a) the smallest value of q is ____
(b). the smallest value of q is ____
Consider the weighted voting system [q: 17, 9, 6, 5, 2]. Find the smallest value of q for which
(a) the smallest value of q is ____
(b) the smallest value of q is ___ Consider the weighted voting system [q: 8, 4, 2]. Find the smallest value of q for which (a) all players have veto power. (b) P2 has veto power but P3 does not.
Answer these questions (1 and 2) below with a step by step explanation on how to solve this:
(a) the smallest value of q is ____
(b). the smallest value of q is ____
Consider the weighted voting system [q: 17, 9, 6, 5, 2]. Find the smallest value of q for which
(a) the smallest value of q is ____
(b) the smallest value of q is ___ (a) all players have veto power. (b) P2 has veto power but P3 does not.
Answer these questions (1 and 2) below with a step by step explanation on how to solve this:
(a) the smallest value of q is ____
(b). the smallest value of q is ____
Consider the weighted voting system [q: 17, 9, 6, 5, 2]. Find the smallest value of q for which
(a) the smallest value of q is ____
(b) the smallest value of q is ___
Explanation / Answer
Consider the weighted voting system [q: 8, 4, 2]. Find the smallest value of q for which
(a) all players have veto power.
(b) P2 has veto power but P3 does not.
ANSWER :
(a) For all players to have veto power, all their votes are needed to reach the quota value. We need to concentrate on P3 with weight=2.
P1 + P2 = 8+4=12 should not be able to meet the quota. So Quota (q) > 12.
P1+P2+P3 = 8+4+2 = 14
So the smallest value of Q is 13.
(b) P2 has veto power means the other players need P2's votes to reach quota but do not need P3's votes to reach quota.
P1+P3 = 8+2 = 10 - should not reach quota without veto power P2's votes. So, q > 10.
P1+P2 = 8+4 = 12 - should reach quota because P3 does not have veto power. So, q <= 12.
Hence, the smallest value of q is 11 where p2 has veto but p3 does not.
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There's no question for the weighted voting system [q:17,9,6,5,2] and so, I've answered the first part of the question.
Cheers!