One hundred voters are to elect one of the four candidates A, B, C, or D. Their preference schedule is shown below. Which candidate wins using the Hare system?
Number of Voters
40
32
18
10
First choice
A
B
D
C
Second choice
Third choice
Fourth choice
One hundred voters are to elect one of the four candidates A, B, C, or D. Their preference schedule is shown below. Which candidate wins using sequential pairwise voting with the agenda A, C, B, D?
One hundred voters are to elect one of the four candidates A, B, C, or D. Their preference schedule is given below. Is there a Condorcet winner?
Consider a thirteen-person committee which is considering three applicants, A, B, and C, for an opening. The individual rankings are summarized in the table below. Which applicant would be accepted if the committee used the plurality method?
Number of Members
5
4
2
In order to choose which type of music to listen to in a student center music lounge, a Condorcet vote is held by the 15 students present. Below are the preference schedules for the students. Is there a Condorcet winner and if so, which music type?
Number of Students
6
classical
rock
jazz
Seventeen board members vote on four candidates, A, B, C, or D, for a new position on their board. Their preference schedules are shown below. Which candidate will be selected if they use the Hare system?
7
Seventeen board members vote on four candidates, A, B, C, or D, for a new position on their board, using the Hare system according to the preference schedules shown below. What happens if A rejects the offer before the ranking?