.Consider the weighted voting system [47: 10,9,9,5,4,4,3,2,2] How many players are there? What is the total number (weight) of votes? What is the quota in this system?
1.Consider the weighted voting system [47: 10,9,9,5,4,4,3,2,2]
- How many players are there?
- What is the total number (weight) of votes?
- What is the quota in this system?
2.Consider the weighted voting system [q: 7,5,3,1,1]
- What is the smallest value that the quota q can take?
- What is the largest value that the quota q can take?
- What is the value of the quota if at least two-thirds of the votes are required to pass a motion?
3.
Consider the weighted voting system [13: 13, 6, 4, 2]
- Identify the dictators, if any.
- Identify players with veto power, if any
- Identify dummies, if any
4.
Consider the weighted voting system [19: 13, 6, 4, 2]
- Identify the dictators, if any.
- Identify players with veto power, if any.
- Identify dummies, if any.
5.
Consider the weighted voting system [15: 11, 7, 5, 2]
- What is the weight of the coalition {P1,P2,P4}
- In the coalition {P1,P2,P4} which players are critical?
6.
Find the Banzhaf power distribution of the weighted voting system
[33: 18, 16, 15, 2]
7.
Consider the weighted voting system [q: 15, 8, 3, 1] Find the Banzhaf power distribution of this weighted voting system,
- When the quota is 15
- When the quota is 16
- When the quota is 18
8.Consider the weighted voting system [17: 13, 9, 5, 2]. In the sequential coalition <P3,P2,P1,P4> which player is pivotal?
9.Find the Shapley-Shubik power distribution for the system [24: 17, 13, 11]
10.
Consider the weighted voting system [q: 7, 3, 1]
- Which values of q result in a dictator (list all possible values)
- What is the smallest value for q that results in exactly one player with veto power but no dictators?
- What is the smallest value for q that results in exactly two players with veto power?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
