1.3 The Borda Count Method

The Borda Count Method

• In an election of N candidates, give 1 point for the last place, 2 points for the second from last place, and so on to the top of the ballot. A first-place vote is worth N points

Example: Borda CountNumber of voters 14 10 8 4 1

1st choice A C D B C

2nd choice B B C D D

3rd choice C D B C B

4th choice D A A A A

A1A4A8A:10D:144th choice

B2C8B16D:20C:283rd choice

D3D12C:24B:30B:422nd choice

C4B16D:32C:40A:561st choice

1481014Number of voters

1point

2points

3points

4points

A gets 79 points, B gets 106 points, C gets 104 points, and D gets 81 points. Therefore B is the winner

Example: Borda CountNumber of voters 6 2 3

1st choice A B C

2nd choice B C D

3rd choice C D B

4th choice D A A

A3A:2D:64th choice

B6D:4C:123rd choice

D:9C:6B:182nd choice

C:12B:8A:241st choice

326Number of voters

1point

2points

3points

4points

B is the winner under Borda count

Majority: A

Condorcet: A

Find the plurality winner.

Is there a Condorcet winner?

Find a Borda Count winner.