voting system.
13. An executive board consists of a president (P) and three vice-presidents (V1,V2,V3)(V1,V2,V3). For a motion to pass it must have yes votes from three of the voting members, one of which must be the president's.
A weighted system that could represent this situation is:
[Q:P,V1,V2,V3][Q:P,V1,V2,V3]
where:
QQ =
PP =
V1V1 =
V2V2 =
V3V3 =
12. Consider the weighted voting system [12: 7, 4, 1]
Find the Shapley-Shubik power distribution of this weighted voting system.
List the power for each player as a fraction:
P1P1:
P2P2:
P3P3:
11. Consider the weighted voting system [15: 14, 6, 4, 1]
In the sequential coalition <P1,P2,P3,P4P1,P2,P3,P4 > which player is pivotal?
Pivotal player =
Identify players by their number only. For example, if the answer is P2P2, enter 2