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1.3 The Borda Count Method.

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Presentation on theme: "1.3 The Borda Count Method."— Presentation transcript:

1 1.3 The Borda Count Method

2 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

3 Example: Borda Count Number of voters 14 10 8 4 1 1st choice A C D B
2nd choice 3rd choice 4th choice Number of voters 14 10 8 4 1 4points 1st choice A:56 C:40 D:32 B16 C4 3points 2nd choice B:42 B:30 C:24 D12 D3 3rd choice C:28 D:20 B16 C8 B2 2points 4th choice D:14 A:10 A8 A4 A1 1point A gets 79 points, B gets 106 points, C gets 104 points, and D gets 81 points. Therefore B is the winner

4 Example: Borda Count Number of voters 6 2 3 1st choice A B C
2nd choice D 3rd choice 4th choice Majority: A Condorcet: A Number of voters 6 2 3 4points 1st choice A:24 B:8 C:12 3points 2nd choice B:18 C:6 D:9 3rd choice C:12 D:4 B6 2points 4th choice D:6 A:2 A3 1point B is the winner under Borda count

5 Find the plurality winner.
Is there a Condorcet winner? Find a Borda Count winner.


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