70 likes | 996 Views
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 Count. Number of voters. 14. 10. 8. 4. 1.
E N D
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 Count Number of voters 14 10 8 4 1 4points 1st choice A:56 C:40 D:32 B16 C4 2nd choice B:42 B:30 C:24 D12 D3 3points 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
Example: Borda Count Majority: A Condorcet: A Number of voters 6 2 3 4points 1st choice A:24 B:8 C:12 2nd choice B:18 C:6 D:9 3points 3rd choice C:12 D:4 B6 2points 4th choice D:6 A:2 A3 1point B is the winner under Borda count
Find the plurality winner. Is there a Condorcet winner? Find a Borda Count winner.