Borda count Method

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:

  1. The last one gets 1 point
  2. The second-to-last gets 2 points, and so on.
  3. The points are totalled, and the one who gets the maximum points is the winner.

Here is our previous example:

# Voters412513263015
1st ChoiceLLFFCC
2nd ChoiceFCLCFL
3rd ChoiceCFCLLF

Points are given as follows:
First place: 3 points
Second Place: 2 points
Third place: 1 point

# Voters412513263015
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.