Question

Number of voters 12 6 15 1st choice C B A 2nd choice B A B...

Number of voters 12 6 15
1st choice C B A
2nd choice B A B
3rd choice A C C



Find the winner of this election under the Pairwise Comparison method (Copeland's Method).

Winner =

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Homework Answers

Answer #1

Answer)

Here we need to compare pairwise.

That is first A vs B

Votes that has A as top choice to B.

Votes preferred to A over B = 15

Votes preferred to B over A = 12 + 6 = 18

Here B is the winner (1 point)

B vs C

Votes preferred to B over C = 6+15 = 21

Votes preferred to C over B = 12.

Clearly B is the winner ( 1 point)

A vs C

Votes preferred to A over C = 21

Votes preferred to C over A = 12

Clearly A is the winner (1 point)

So, B got 2 points, A got 1 point.

Clearly B is the winner.

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