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{{Electoral systems}}
 
The '''Droop quota''' is the quota most commonly used in elections held under the [[Single Transferable Vote]] (STV) system. It is also sometimes used in elections held under the [[largest remainder method]] of [[party-list proportional representation]] (list PR). In an STV election the quota is the minimum number of votes a candidate must receive in order to be elected. Any votes a candidate receives above the quota are transferred to another candidate. The Droop quota was devised in 1868 by the English lawyer and mathematician [[Henry Richmond Droop]] (1831–1884) as a replacement for the earlier [[Hare quota]].
 
Today the Droop quota is used in almost all STV elections, including the forms of STV used in the [[Republic of Ireland]], [[Northern Ireland]], [[Malta]] and [[Australia]], among other places. The Droop quota is very similar to the simpler [[Hagenbach-Bischoff quota]], which is also sometimes loosely referred to as the 'Droop quota'.
 
==Formula==
Sources differ as to the exact formula for the Droop quota. As used in the Republic of Ireland the formula is usually written:
 
:<math>\left( \frac{\mbox{Total Valid Poll}}{\left(\mbox{Seats}+1 \right)} \right) + 1</math>
*'''Total Valid Poll''' = Total number of valid (unspoilt) votes cast in an election.
*'''Seats''' = Total number of seats to be filled in the election.
 
(The extra parentheses, while not strictly necessary from a mathematical standpoint, are often included in order to make the formula seem less ambiguous to non-mathematicians—if calculated out of sequence, an incorrect result would be arrived at, producing an incorrect quota.) It is important to use the ''Total Valid Poll'', which is arrived at by subtracting the [[Spoilt vote|spoiled and invalid votes]] from the total poll.
 
The Droop quota is the smallest number that guarantees that no more candidates can reach the quota than the number of seats available to be filled. Simply put, the Droop quota is the number <math>\frac{\mbox{Votes}}{\mbox{Seats}+1}+1</math> without its "decimal part". This gives the Droop quota the special property that it is the smallest integral quota which guarantees that the number of candidates able to reach this quota cannot exceed the number of seats. In a single winner election, in which STV becomes the same as [[instant-runoff voting|Instant Run-off Voting]], the Droop quota becomes a simple integral majority quota–that is, it will be equal to an absolute majority of votes.
 
While in theory every STV election should see the right number of candidates elected through reaching the quota, in practice many voters may only vote for a small proportion of the candidates on the ballot paper, such as only those candidates from one party, or even only one candidate. Those votes are known as 'NTs', or 'non transferable votes', and the effect of their removal from the total valid poll may be to reduce the total number of votes available to such an extent that the last candidate left in a race may not actually have enough votes to reach the quota. Nevertheless, in reality, as no other candidate may mathematically be able to overtake them as the candidate nearest to the quota, they may in such circumstances be deemed elected "without reaching the quota". The quota is in fact constructed to ensure that it is mathematically impossible for candidates to achieve the quota beyond the number of available seats.
 
==An example of use in STV==
To see how the Droop quota works in an STV election imagine an election in which there are 2 seats to be filled and 3 candidates: Andrea, Carter and Brad. There are 102 voters. Two of these voters spoil their ballot papers. The remaining 100 voters vote as follows:
 
{| border=1
|valign=top|
'''45 voters'''
# Andrea
# Carter
|valign=top|
'''25 voters'''
# Carter
|valign=top|
'''30 voters'''
# Brad
|}
 
There are 102 voters but two spoil their papers so the Total Valid Poll is 100. There are 2 seats. Before rounding down the Droop quota is therefore:
 
:<math> \frac{100}{2+1} + 1 = 34 \frac{1}{3} </math>
 
Rounded down to the nearest integer the Droop quota is found to be '''34'''. To begin the count the first preferences cast for each candidate are tallied and are as follows:
*Andrea: 45
*Carter: 25
*Brad: 30
 
Andrea has more than 34 votes. She therefore has reached the quota and is declared elected. She has 11 votes more than the quota so these votes are transferred to Carter. The tallies therefore become:
*Carter: 36
*Brad: 30
 
Carter now has reached the quota so is declared elected. The winners of the election are therefore Andrea and Carter.
 
==Comparison with the Hare quota==
{{Main|Comparison of the Hare and Droop quotas}}
 
The Droop quota is smaller than the [[Hare quota]], and is more efficient when counting ballots since a candidate needs only the smaller quota to be considered elected. Overall the two quotas achieve very similar net results since a candidate cannot ''not'' be elected once they achieve the Droop quota, however the results may differ, particularly for the last seat, based on the transfer of preferences.
*In a [[party list proportional representation|list PR]], multi-winner election, the Hare quota is kinder to small parties than the Droop quota because they have a slightly better chance to win the final seat. The principle of proportional representation favours the Hare quota;
*In an STV, multi-winner election under the Hare quota it is possible for a party supported by a clear majority of voters to receive only a minority of seats if the votes are not dispersed relatively evenly across all the party's candidates. The principle of majority rule favours the Droop quota;
*In an STV election in which there is only one seat to be filled (in other words an [[instant-runoff voting|Instant Run-off Voting]] election) both quotas will achieve the same result.
 
The difference between the two quotas comes down to what the quota implies. Winners elected under a Hare system '''represent''' that proportion of the electorate; winners under a Droop system were '''elected''' by that proportion of the electorate.
 
The Droop quota is today the most popular quota for STV elections.
 
==Comparison with Hagenbach-Bischoff quota==
The Droop quota does not absolutely guarantee that a party with the support of a solid majority of voters will not receive a minority of seats. The only quota under which this cannot happen, even in rare cases, is the slightly smaller [[Hagenbach-Bischoff quota]], the formula for which is identical to the Droop quota's except that the quotient is not increased to the next whole number. Another difference between the Droop and Hagenbach-Bischoff quotas is that under the Droop quota it is mathematically impossible for more candidates to reach the quota than there are seats to be filled, although ties are still possible. This can occur under Hagenbach-Bischoff but when it does it is treated as a kind of tie, with one candidate chosen at random for exclusion.
 
==See also==
* [[List of democracy and elections-related topics]]
 
==Further reading==
*{{cite book |first=Henry Richmond |last=Droop |title=On the Political and Social Effects of Different Methods of Electing Representatives |location=London |publisher= |year=1869 }}
*{{cite journal |first=Henry Richmond |last=Droop |url=http://www.votingmatters.org.uk/ISSUE24/I24P3.pdf |title=On methods of electing representatives |journal=[[Journal of the Statistical Society of London]] |volume=44 |issue=2 |year=1881 |pages=141–196 [Discussion, 197–202] }} Reprinted in ''[[Voting matters]] Issue 24'' (October 2007) pp.&nbsp;7–46.
 
{{Majorities}}
 
[[Category:Single transferable vote]]
[[Category:Voting system quotas]]

Revision as of 17:45, 5 February 2014

Most persons have this habit of doing all of the stuff by themselves, irrespective of how important or simple they are! These individuals won't allow others interfere in their matters. While this stance will function inside different regions of existence, it is actually really not how to answer when you want to fix a Windows registry. There are some jobs such as removing spywares, virus in addition to obsolete registry entries, which are best left to pro softwares. In this article I may tell you why it happens to be important to fix Windows registry NOW!

We want to understand several simple plus inexpensive ways that can solve the problem of the computer plus speed it up. The earlier you fix it, the less damage a computer gets. I will tell about some practical techniques which may enable you to accelerate we computer.

When you compare registry cleaners you require a rapidly acting registry cleaning. It's no good spending hours and the PC waiting for the registry cleaning to complete its task. You wish your cleaner to complete its task in minutes.

Fixing tcpip.sys blue screen is simple to do with registry repair software.Trying to fix windows blue screen error on your own is tricky because should you remove or damage the registry it could cause serious damage to the computer. The registry must be cleaned and all erroneous and incomplete info removed to stop blue screen errors from occurring.The benefit of registry repair software is not limited to really getting rid of the blue screen on business.You might be amazed at the better plus more improved speed plus performance of your computer system after registry cleaning is performed. Registry cleaning really can develop your computer's working abilities, particularly whenever you choose a certain registry repair software that is quite powerful.

To fix the issue that is caused by registry error, we should employ a iolo system mechanic. That is the safest plus simplest means for average PC consumers. However there are thousands of registry cleaners accessible available. You should find a superior one which really can resolve a problem. If you use a terrible one, we can expect more problems.

Active X controls are utilized over the whole spectrum of computer plus web technologies. These controls are called the building blocks of the web and as the glue which puts it all together. It is a standard that is utilized by all programmers to make the internet more useful plus interactive. Without these control guidelines there would basically be no public web.

The first reason the computer might be slow is because it requirements more RAM. You'll see this issue right away, particularly in the event you have lower than a gig of RAM. Most hot computers come with a least which much. While Microsoft claims Windows XP will run on 128 MB, it and Vista want at least a gig to run smoothly plus let we to run multiple programs at once. Fortunately, the cost of RAM has dropped significantly, and there are a gig installed for $100 or less.

All of these issues may be easily solved by the clean registry. Installing our registry cleaner may allow you to use your PC without worries behind. You can able to utilize you program without being afraid which it's going to crash inside the center. Our registry cleaner can fix a host of mistakes on the PC, identifying lost, invalid or corrupt settings inside your registry.