Question
In the weighted voting system below, the weights represent voters A, B, C, and so on, in that order. Answer parts (a) through (d). \( [18: 1,3,4,4,4] \) D has 4 vote(s). E has 4 vote(s). c. Are there any dictators? 9 Yes (y) Noints: 0 of d. Which voter(s), if any, have veto power? A. Only A has veto power. B. Only D and E have veto power. C. No voter has veto power. D. All voters have veto power.
Ask by Clark Powell. in the United States
Feb 13,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
No voter has veto power.
Solution
To determine if there are any dictators in the weighted voting system, we need to check if any voter has a weight that is greater than or equal to the total number of voters.
Given:
- Voter A has 18 votes
- Voter B has 1 vote
- Voter C has 3 votes
- Voter D has 4 votes
- Voter E has 4 votes
Total number of voters = 5
To find if there are any dictators:
1. Check if any voter has a weight greater than or equal to the total number of voters.
Since no voter has a weight greater than or equal to the total number of voters, there are no dictators in the weighted voting system.
Now, to determine which voter(s) have veto power, we need to check if any voter has a weight that is greater than or equal to half of the total number of voters.
Half of the total number of voters = 5 / 2 = 2.5
Since no voter has a weight greater than or equal to half of the total number of voters, no voter has veto power.
Therefore, the correct answer is:
C. No voter has veto power.
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Extra Insights
In this weighted voting system, a dictator is a voter who can single-handedly decide the outcome, meaning their votes alone can meet or exceed the required quota for a decision. In your case, since no single voter holds enough weight to reach the quota of 18 votes independently, there are no dictators present. For veto power, a voter possesses this power if their approval is essential for any decision, without which the required quota cannot be met. Given that A has 18 votes alone, A indeed holds veto power, while D and E do not have this capability on their own, as their combined weight with others can't achieve the required number without A. So, A is the only one with veto power.
