Mat
102-890
Quiz
2 Answer Key
The
preference schedule for an election involving four candidates (A,B,C,D) is
shown below:
|
Number
of Votes |
5 |
2 |
3 |
2 |
4 |
|
1st
choice |
C |
C |
A |
D |
B |
|
2nd
choice |
B |
D |
C |
B |
C |
|
3rd
choice |
D |
B |
B |
C |
A |
|
4th
choice |
A |
A |
D |
A |
D |
a)
Rank
the candidates using the extended Instant run-off method.
Step
1: Eliminate D.
|
Number
of Votes |
7 |
3 |
6 |
|
1st
choice |
C |
A |
B |
|
2nd
choice |
B |
C |
C |
|
3rd
choice |
A |
B |
A |
Step
2: Eliminate A
|
Number
of Votes |
10 |
6 |
|
1st
choice |
C |
B |
|
2nd
choice |
B |
C |
Step
3: C wins
Answer: CBAD
b)
Rank
the candidates using the extended Pairwise comparisons method,
|
|
A |
B |
C |
D |
total |
|
A |
|
0 |
0 |
0 |
0 |
|
B |
1 |
|
0 |
1 |
2 |
|
C |
1 |
1 |
|
1 |
3 |
|
D |
1 |
0 |
0 |
|
1 |
Answer: CBDA