Quota: Difference between revisions
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A quota is a number of votes (obtained by formula) often relevant to deciding who wins and how ballots are evaluated or modified in proportional voting methods. |
A quota is a number of votes (obtained by formula) often relevant to deciding who wins and how ballots are evaluated or modified in [[PR|proportional voting methods]]. |
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The following quotas are listed from largest to smallest. |
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The Hare quota may be given as: |
The Hare quota may be given as: |
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*<math>\text{total seats}</math> = the total number of seats to be filled in the election. |
*<math>\text{total seats}</math> = the total number of seats to be filled in the election. |
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When there are 5 seats to be filled and 100 votes cast, the Hare quota is (100/5) = '''20''' votes. |
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Sources differ as to the exact formula for the Droop quota. As used in the Republic of Ireland the formula is usually written: |
Sources differ as to the exact formula for the Droop quota. As used in the Republic of Ireland the formula is usually written: |
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One reason Droop quotas are used more often than Hare Quotas for ranked [[Proportional representation|PR]] methods is because not only do they often help reduce the amount of vote-counting necessary, but they almost entirely eliminate the possibility of a majority of voters receiving a minority of seats compared to Hare Quotas. The Droop Quota is the smallest possible quota that guarantees that there will be as many quotas as there are winners desired. |
One reason Droop quotas are used more often than Hare Quotas for ranked [[Proportional representation|PR]] methods is because not only do they often help reduce the amount of vote-counting necessary, but they almost entirely eliminate the possibility of a majority of voters receiving a minority of seats compared to Hare Quotas. The Droop Quota is the smallest possible quota that guarantees that there will be as many quotas as there are winners desired. |
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When there are 5 seats to be filled and 100 votes cast, the Droop quota is '''17''' votes, which is calculated as: Integer((100/(5+1)) + 1) = Integer((100/6) + 1) = Integer(~16.667 + 1) = Integer(~17.667) = '''17''' votes. |
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==[[W: Hagenbach-Bischoff quota|Hagenbach-Bischoff quota]]== |
==[[W: Hagenbach-Bischoff quota|Hagenbach-Bischoff quota]]== |
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<math>\left( \frac{\text{total valid poll}}{ \text{seats}+1 } \right)</math> |
<math>\left( \frac{\text{total valid poll}}{ \text{seats}+1 } \right)</math> |
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Some sources call the HB Quota a Droop Quota instead. There will always be either exactly |
Some sources call the HB Quota a Droop Quota instead. There will always be either exactly one more HB quota than seats to be filled. Because of this, it will on rare occasion be necessary to break a tie between various candidates to decide who should win with PR methods that use the HB quota. |
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When there are 5 seats to be filled and 100 votes cast, the HB quota is (100/(5+1)) = '''~16.667''' votes. |
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