Question

Use Plurality with Elimination to evaluate the winner of the election and to rank the candidates. Use the preference schedule given below. Be sure to show the results of each round and identify the candidate eliminated in that round.

16    12 10 8    7 5

1st    A    B C    D    B    C

2nd    C    D    A    B    A    D

3rd D    A    B    C    C    B

4th B    C    D    A    D    A

Answer 1

Count first place votes, and elimate the candidate with the lowest votes.

Round One:

Number of Voters	16	12	10	8	7	5
First Choice	A	B	C	D	B	C
Second Choice	C	D	A	B	A	D
Third Choice	D	A	B	C	C	B
Fourth Choice	B	C	D	A	D	A

Round One Count first place votes:

A: 16, B: 19, C: 15, D: 8

Eliminate candidate D and rewrite the preference schedule.

Preference Schedule(w/o D) :

Number of Voters	16	12	10	8	7	5
First Choice	A	B	C	B	B	C
Second Choice	C	A	A	C	A	B
Third Choice	B	C	B	A	C	A

Round Two: Count first place votes:

A: 16, B: 27, C: 15

Eliminate candidate C and rewrite the preference schedule.

Preference Schedule(w/o D and C):

Number of Voters	16	12	10	8	7	5
First Choice	A	B	A	B	B	B
Second Choice	B	A	B	A	A	A

Round Three: Count first place votes:

A: 26, B: 32

Hence B is the winner.

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