Quota: Difference between revisions
no edit summary
No edit summary |
No edit summary |
||
Line 1:
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]].
The following quotas are listed from largest to smallest. See the [[PSC#Types of PSC]] article for more information.
==[[W:Hare quota|Hare quota]]==
Line 14:
When there are 5 seats to be filled and 100 votes cast, the Hare quota is (100/5) = '''20''' votes.
In the single-winner case, a Hare quota is just all of the voters. In general, voting methods that are based on Hare quotas attempt to represent all voters, but don't guarantee that a majority of voters will get even half of the seats.
==[[W: Droop quota |Droop quota]]==
Line 33 ⟶ 35:
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.
In the single-winner case, a Droop quota is a majority. In general, Droop quota-based methods tend to leave at least just under a Droop quota unrepresented. See the [[utility]] article, as the debate between Hare and Droop quotas somewhat parallels and generalizes the [[utilitarianism]] vs. [[majority rule]] debate.
==[[W: Hagenbach-Bischoff quota|Hagenbach-Bischoff quota]]==
Line 39 ⟶ 43:
<math>\left( \frac{\text{total valid poll}}{ \text{seats}+1 } \right)</math>
Some sources call the HB Quota a Droop Quota instead. There will always be
When there are 5 seats to be filled and 100 votes cast, the HB quota is (100/(5+1)) = '''~16.667''' votes.
In the single-winner case, an HB quota is half of the voters. In this case, two candidates could each have half of the votes, i.e. two candidates each have one quota, but only one seat can be allotted. Because of this, many PR methods that use HB quotas specify that a candidate must have '' more'' votes than k HB quotas to get k seats (i.e. over half of the votes, in the single-winner case).
[[Category:Proportionality-related concepts]]
| |||