Counting of votes and allocation of mandates

Votes are counted in an electronic voting system.

When counting the votes, the D'Hondt method is used. Here you can see an example of how proportional representation votes are counted according to this method.

Example of counting of votes and allocation of mandates

Eight mandates need be allocated at an election. There are four lists of candidates. First, the mandates are allocated according to list pacts and candidate lists. Then, the won mandates are allocated within the lists.

1. Allocation of mandates to list pacts and candidate lists

The four lists have received the following number of votes: A: 25, B: 31, C: 11 and D: 16. The votes are divided by 1, 2, 3 and 4.

Count with lists C and D in list pact.

List

/1

/2

/3

/4

A

25

12.5

8.33

6.25

B

31

15.5

10.33

7.75

C/D

27

13.5

9.00

6.75

The mandates are allocated according to a falling average figure (falling figures in the above calculation) as follows:

  1. mandate: B (31)
  2. mandate C + D (27)
  3. mandate A (25)
  4. mandate B (15.5)
  5. mandate C+D (13.5)
  6. mandate A (12.5)
  7. mandate B (10.33)
  8. mandate C+D (9)

List A gets two mandates, list B gets three mandates while the list pact gets a total of three mandates which are distributed in the same way within the list pact:

List

/1

/2

C

11.0

5.5

D

16.0

8.0

 

  1. mandate: D (16)
  2. mandate: C (11)
  3. mandate: D (8)

 List C gets one mandate and list D gets two.

If list C and list D had not entered into a list pact, the allocation of mandates would have been different:

Count without list pact

List

/1

/2

/3

A

25

12.5

8.33

B

31

15.5

10.33

C

11

5.5

3.66

D

16

8

5.33

 

  1. mandate: B (31)
  2. mandate: A (25)
  3. mandate: D (16)
  4. mandate: B (15.5 )
  5. mandate: A (12.5)
  6. mandate: C (11)
  7. mandate: B (10.33 )
  8. mandate: A (8.33 )

Lists A and B thus get three mandates each while lists C and D get one mandate. Thus, as a result of the list pact, one mandate moves between list A and list D.

2. Allocation of mandates within a candidate lis

After the mandates have been allocated between the candidate lists, the mandates which are allocated to each list are divided between the candidates in the list.

Candidate lists with even ranking (non-prioritised)

Three mandates must be distributed between five candidates on one list. The candidates have achieved the following number of votes:

A: 21

B: 11

C: 8

D: 28

E: 11

In the case of candidate lists with even ranking, the mandates are allocated according to the candidates' personal votes.  Candidates who are not elected will serve as substitutes for the list's mandates in the same order. If two candidates have received the same number of votes, lots are drawn to decide the outcome.

D and A get the first and second mandate, respectively. Lots will be drawn between B and E for the last mandate. The loser will be the first substitute, while C will be the second substitute.

Candidate lists with prioritised ranking

Three mandates must be distributed between five candidates on one list. The list has received 132 votes, as follows:

The list: 75 votes

  1. candidate: 28 votes
  2. candidate: 14 votes
  3. candidate: 2 votes
  4. candidate: 11 votes
  5. candidate: 2 votes

Total: 132 votes

The list's distribution number is found by dividing the list's total number of votes with the number which is one higher than the number of mandates which are allocated to the list: 132/4 = 33

Distribution number: 33

The candidates on the list are assigned list votes in order of priority until the distribution number has been reached:

  1. candidate is assigned (33-28) five list votes and is thus elected
  2. candidate is assigned (33-14) 19 list votes and is thus elected
  3. candidate is assigned (33-2) 31 list votes and is thus elected

The third candidate thus gets a mandate despite a very low personal vote as he has a share in the list votes.

If, however, the votes were distributed as follows, the result would have been different:

The list: 38 votes

  1. candidate: 18 votes
  2. candidate: 16 votes
  3. candidate: 8 votes
  4. candidate: 46 votes
  5. candidate: 6

Total: 132 votes

Distribution number (132/4) = 33

The candidates on the list are assigned list votes in order of priority until the distribution number has been reached:

  1. candidate is assigned (33-18) 15 list votes and is thus elected
  2. candidate is assigned (33-16) 17 list votes and is thus elected
  3. candidate gets the remaining list votes (six list votes) but does not achieve the distribution number of 33.

The fourth candidate gets the mandate because he has reached the distribution number solely on the basis of the number of personal votes – and, as the rules have been formulated, this is not possible for the other candidates. The fourth candidate gets the first mandate because, by virtue of his personal votes, he has achieved the distribution number, while candidates 1 and 2 can only be elected on the basis of the list votes – and they thus get the second and third mandates. The fourth candidate has thus jumped the list order with his personal votes.