Border Count is another method to determine the winner of a voting scheme. As per Wiki, the technique was first proposed in 1435 by Nicholas of Cusa but is named after the French mathematician Jean-Charles de Borda, who developed the system in 1770.
In this method, points are given to candidates based on their ranking:
- The last one gets 1 point
- The second-to-last gets 2 points, and so on.
- The points are totalled, and the one who gets the maximum points is the winner.
Here is our previous example:
# Voters | 41 | 25 | 13 | 26 | 30 | 15 |
1st Choice | L | L | F | F | C | C |
2nd Choice | F | C | L | C | F | L |
3rd Choice | C | F | C | L | L | F |
Points are given as follows:
First place: 3 points
Second Place: 2 points
Third place: 1 point
# Voters | 41 | 25 | 13 | 26 | 30 | 15 |
1st Choice (3 pts) | L 41×3 123 | L 25×3 75 | F 13×3 39 | F 26×3 78 | C 30×3 90 | C 15×3 45 |
2nd Choice (2 pts) | F 41×2 82 | C 25×2 50 | L 13×2 26 | C 26×2 52 | F 30×2 60 | L 15×2 30 |
3rd Choice (1 pt) | C 41×1 41 | F 25×1 25 | C 13×1 13 | L 26×1 26 | L 30×1 30 | F 15×1 15 |
L: 123 + 75 + 26 + 30 + 26 + 30 = 310 points
F: 39 + 78 + 82 + 60 + 25 + 15 = 299 points
C: 90 + 45 + 50 + 52 + 41 + 13 = 291 points
Under the Borda count method, L is the winner.