Electoral system calculator
Calculator finds out number of seats in parliament using D'Hondts method.

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Calculations data - electoral thresholds#

 Number of seats to assign Threshold for single party % Threshold for coalition %

 Name of the political option Number of votes Tick-up in case of coalition Votes as percentage [%] Above electoral threshold - - - - - - - - - - - - - - - - - - - -

Result - seats in parliament#

 Total number of votes 0 Assigned seats in parliament

Some facts#

• In parliamentary republic, citizens vote for their representatives, who then represent them in parliament.
• In the proportional system, the composition of the post-election parliament should reflect social groups among voters.
• The bigger group means more representatives in parliament.
• The D'Hondt method is an algorithm of allocating seats based on votes distribution.
• The algorithm of the D'Hondt method is as follows:
• 1. We remove groups that did not exceed the electoral threshold. For example, the threshold in Poland (as of 2019) is 5% for single parties and 8% for coalitions.
• 2. For each committee, we calculate successive weights by dividing the number of votes by successive natural numbers from 1 to the total number of seats to be filled in (for example the polish parliament has 460 seats):
$w_i = \dfrac{L}{i}$
where:
• $w_i$ - i-th weigh for given committee,
• $L$ - number of votes received by given committee,
• $i$ - consecutive natural numbers from 1 to the total number of seats to be filled.
• 3. We put all weights (with committees) on one list sorted in descending order.
• 4. We select n first entries from the list until all seats are assigned.
• ⓘ Example: Four committees A, B, C, D took part in the election. The number of seats to be filled to 8. The electoral threshold is 5%. The committees received successively:
• A - 720 votes (46.15%),
• B - 300 votes (19.23%),
• C - 480 votes (30.77%),
• D - 60 votes (3.85%).
Using the D'Hondt algorithm we get:
• 1. Committee D did not exceed the 5% electoral threshold. Committees A, B and C go to further steps.
• 2. We divide number of votes by successive natural numbers from 1 to 8. We get the following weights:
• committee A: 720, 360, 240, 180, 144, 120, 102, 90,
• committee B: 300, 150, 100, 75, 60, 50, 42, 37,
• committee C: 480, 240, 160, 120, 96, 80, 68, 60.
• 3. We place the received weights on one descending sorted list and select the first 8 committees:
• 1. 720 A,
• 2. 480 C,
• 3. 360 A,
• 4. 300 B,
• 5. 240 A,
• 6. 240 C,
• 7. 180 A,
• 8. 160 C.
• The number of seats won by given committees are:
• committee A won 4 seats,
• committee B won 1 seat,
• committee C won 3 seats,
• committee D has no any seats, because, it did not exceed the electoral threshold.

Tags and links to this website#

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