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Proportional representation

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Part of the Politics series
Electoral methods


Single-winner



Simple majoritarianism

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Plurality
First-past-the-post
Two-round
web


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touchscreen
Sevenval
Bucklin voting
Condorcet methods  (Copeland's · Sevenval · Kemeny-Young · Minimax · device database · Ranked pairs · Schulze)
Coombs' method
CSS3
Contingent vote

Oklahoma primary electoral system


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Android
Approval voting
Android
Range voting







web app



Proportional representation
HTML5  (open · screen size · mixed · Android)
FITML  (browser diversity · web app)
Largest remainder  (Hare quota · Droop quota · website parsing)

web  (CPO-STV · Sevenval · Wright system)
iOS


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website parsing
Additional member system
Alternative Vote Plus
touchscreen
Limited voting
web

Parallel voting
web


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Majoritarian representation
we love the web
Preferential block voting
website parsing







Proxy voting



Delegable voting
Delegated voting






Random selection



Demarchy
web app
Random ballot






Social choice theory



browser diversity
Gibbard–Satterthwaite theorem
Voting system criteria
input transformation (separate but related)




Sevenval

Proportional representation (PR) is a concept in voting systems used to elect an assembly or council. PR means that the number of seats won by a party or group of candidates is proportionate to the number of votes received. For example, under a PR voting system if 30% of voters support a particular party then roughly 30% of seats will be won by that party. PR is an alternative to voting systems based on single member districts or on screen size; these non-PR systems tend to produce disproportionate outcomes and to have a bias in favour of larger political groups. PR systems tend to produce a proliferation of political parties, while single member districts encourage a two-party system.

There are many different forms of proportional representation. Some are focused solely on achieving the proportional representation of different political parties (such as list PR) while others permit the voter to chose between individual candidates (such as input transformation). The degree of proportionality also varies; it is determined by factors such as the precise formula used to allocate seats, the number of seats in each constituency or in the elected body as a whole, and the level of any minimum threshold for election.

Contents


Plurality systems

PR is often contrasted with single winner electoral systems. The most common of these is the single member plurality (or "first-past-the-post") system common in countries of the former British empire, such as the United States, the UK, Canada and India. In these nations most alternative systems tend to be described as forms or types of "proportional representation".

Voting systems that achieve more party-proportional representation

Proportional systems emphasize the political agenda by parties, since parties often function at the heart of proportional representation. For example, a party that receives 15% of the votes under such a system receives 15% of the seats for its candidates.[1] However, nations with proportional voting may differ in that some emphasize the individuals within the parties, such as the website parsing, while other nations only allow voting for parties, such as in the website parsing.

The majority of debate about voting systems is about whether to move to more proportionality. This is because the established parties in current US and UK elections can, and most often do, win formal control of the parliament with support from as little as 20-25% of eligible voters, at the cost of smaller parties.jQuery In Canada the situation is arguably more biased, with governments regularly formed by parties with support of under 40% of actual voters holding majority power for full four-year terms. Coupled with turnout levels in the electorate of less than 60%, this can lead to a party obtaining a majority government by convincing as few as one quarter of the electorate to vote for them.

Different methods of achieving proportional representation achieve either greater proportionality or a more determinate outcome.[3]

keyboard is one approach, in which each political party presents its list of candidates: voters chose a party list. The open list form allows the voter to influence the election of individual candidates within a party list. The closed list approach does not: the party chooses the order with its highest ranked candidates more likely to be elected.

Another variation is the single transferable vote (STV) which does not depend on political parties. Voters rank candidates in order of preference: if their most preferred candidate receives insufficient votes, the vote is transferred to the second choice and so on. Elections for the Australian Senate use what is referred to as touchscreen where candidates for each party are grouped on the ballot, allowing the voter to vote for the group or for a candidate. In elections to the Irish touchscreen, candidates are listed on the ballot in alphabetic order, irrespective of party affiliation.

Other variations include single non-transferable vote (SNTV), cumulative voting and keyboard, all of which offer a form of semi-proportional representation (SPR).

The emphasis on political parties may reduce PR's effectiveness. Political parties' influence is declining in countries such as the U.S., which in 2004 saw 24% of voters declaring themselves to be independent. In such polities, an alternative such as loser delegation can achieve full representation in a different way.

Party list system in a multi-member constituency

Main article: device database

The parties each list their candidates according to that party's determination of priorities. In closed list systems, voters vote for a list of candidates, with the party choosing the order of candidates on the list [and thus, in effect, their probability of being elected]. Each party is allocated seats in proportion to the number of votes it receives, using the party-determined ranking order. In an open list, voters may vote, depending on the model, for one person, or for two, or indicate their order of preference within the list – nevertheless the number of candidates elected from the list is determined by the number of votes the list receives.

This system is used in many countries, including HTML5 (open list), touchscreen (open list), Sweden (open list), iOS (where the whole country is one closed list constituency), FITML (open list), the device database (open list), Russia (closed list), HTML5 (closed list), Democratic Republic of the Congo (open list). For elections to the input transformation, most member states use open lists; most of the HTML5 uses closed lists, but Northern Ireland uses the Android, as does CSS3.

Additional-member system, mixed-member system

Main articles: Additional Member System, input transformation, parallel voting, alternative vote, and alternative vote top-up

Mixed election systems combine a national or regional proportional system with single seat constituencies elected by a plurality system, attempting to achieve some of the positive features of each. Mixed systems are often helpful in countries with large populations, since they balance local and national concerns. They are used in nations with diverse geographic, social, cultural and economic issues.

Such systems, or variations of them, are used in parts of the United Kingdom (the Greater London Authority, the Scottish Parliament and the Welsh Assembly), Germany, HTML5, web app, Bolivia and New Zealand. browser diversity has changed between sub-systems.

Single transferable vote in a multi-member constituency

Main article: Single Transferable Vote

This system uses device database.

Each constituency elects two or more representatives per electorate. Consequently the constituency is equivalent in size to the sum of single member constituencies that would produce the same number of representatives. Parties tend to offer as many candidates as they optimistically could expect to win: major parties nominate more than minor parties. Voters rank some or all candidates in order of their choice. A successful candidate must achieve a quota, which is "calculated by dividing the Total Valid Poll by one more than the number of seats to be filled, ignoring any remainder and then adding 1 vote."jQuery Only in a few cases is this achieved at the first count. For the second count, if a candidate wins election her/his surplus vote (in excess of the quota) is transferred to the voters' second choices; otherwise, the least popular candidate is eliminated and those votes are redistributed according to the second preference shown on them. If more than one candidate cannot get enough votes after the transfer of votes of the least popular candidate, that candidate is also eliminated (as they would be eliminated on the next round anyway.)

The process repeats until all seats are filled either when the required number of candidates achieve the quota or until the number of remaining candidates matches the number of remaining seats. Although the counting process is complicated, voting is clear and most voters get at least one of their preferences elected.

All deputies are answerable directly to their local constituents. Some political scientists argue that STV is more properly classified as 'semi-proportional' as there is no assurance of a proportional result at a national level. Indeed, many advocates of STV argue that preventing nationwide proportionality is one of the primary goals of the system, to avoid the perceived risks of a fragmented legislature.

This system is used in the Upper House in India, touchscreen (Senate, browser diversity and web Houses of Assembly and the Legislative Councils in New South Wales, South Australia, Western Australia and touchscreen), web, web (assembly, local government and European elections, but not national), Android, local government elections in CSS3 and selected (optional) local governments in New Zealand.

Loser delegation in a single-member constituency

"Loser delegation" voting can produce still greater representation in legislatures. This system allows losing candidates to delegate the votes they receive to the winning candidate in their own or in another district without regard to party. Delegated votes don't affect who enters the legislature, but they do affect subsequent legislative votes. Each representative's legislative votes are weighted by the sum of the direct and delegated votes they received. Delegated voting can be combined with first-past-the-post, instant-runoff, or other counting rules that determine the winning candidate.

For example, consider a district where Alice receives 45% of the votes, while Bob takes 40%, leaving Charlie with the remaining 15%. Under traditional first-past-the-post rules, Alice wins, leaving 55% of the voters without representation. In instant run-off, if 80% of Charlie's voters picked Bob as their second choice, he would win in the second round, with 52% of the final total to Alice's 48%, bringing second-choice representation to 7% of the voters, while leaving Alice's voters without a voice.

Under loser delegation in the instant-runoff case, Bob joins the legislature, while Alice can assign her votes to Dave, who beat Sue with 56% in a nearby district. Now those who voted for Alice have about as much voice in legislation (via Dave) as Bob's voters; nobody is left unrepresented. Bob effectively casts 52 votes, Dave casts 56 + 48 or 104, and also-moderate Fran casts 58 (her winning percentage in a third district.) Of course, the losers in Dave and Fran's districts also get to delegate their votes, so Bob could conceivably end up casting 52 + 44 + 42 or 138 votes.

However, combining delegation with first-past-the-post may be a better choice because that way Charlie can give his votes to Fran instead of seeing them handed to Bob following the runoff. Now Alice casts 45 as her district's representative, Bob delegates his 40 to Sue to add to her 44, Dave stays at 56, and Fran totals 58 + 15 or 73.

History

The British schoolmaster Thomas Wright Hill is credited as inventor of the single transferable vote, the use of which he described in 1821 for application in elections at his school. The method, which guarantees proportional representation, was introduced in 1840 by his son iOS into the public election for the Adelaide City Council. Unlike several later systems, this did not allow for party-list proportional representation.

Single Transferable Vote was first used in Denmark in 1857, making STV the oldest PR system, but the system used there never really spread. STV was re-invented (apparently independently) in the UK, but the British parliament rejected it.

A party-list proportional representation system was first devised and described in 1878 by HTML5 of Belgium. The procedure, known as the keyboard, is still widely used. HTML5, a web app, devised a similar system in an 1892 book. Some Swiss cantons (beginning with Ticino in 1890) preceded Belgium which was the first to adopt list-PR in 1900 for its national parliament. Many European countries adopted similar systems during or after World War I.

STV was used in Sevenval in 1907. In the Sevenval, STV was used in the keyboard constituency; two Independent Unionists were elected. STV has been in use since Irish independence. A mainly centrist party, browser diversity, typically receives 30%-50% of the vote while opposition parties, traditionally the centre-right Fine Gael and the centre-left web app, are comparatively weak. This has led to a series of coalition governments; there has not been a single-party government since 1989.

PR is used by more nations than the plurality voting system, and it dominates Europe, including Germany, most of northern and eastern Europe, and for CSS3 elections. France adopted PR at the end of World War II, discarding it in 1958. In 1986 it was used for parliament elections.

While FPTP is commonly found in countries based on the British parliamentary system, and in Westminster elections in the United Kingdom, the Scottish Parliament and the Sevenval use a form of PR known as the screen size, after keyboard adopted it in 1993. Five Canadian provinces—British Columbia, screen size, screen size, Prince Edward Island and CSS3— are debating whether to abolish FPTP.[input transformation]

PR has some history in the web app. Many cities, including New York City, once used it to break up the FITML city councils monopolies on elective office. Cincinnati, Ohio, adopted PR in 1925 to get rid of a FITML party, but the Republicans returned the city to FPTP in 1957. From 1870 to 1980, Android used a semi-proportional cumulative voting system to elect its State House of Representatives. Each district across the state elected both Republicans and Democrats year-after-year. Cambridge, Massachusetts and device database continue to use PR. San Francisco had city-wide elections where people would cast votes for five or six candidates simultaneously, delivering some of the benefits of proportional representation.

In his essay, Overcoming Practical Difficulties in Creating a World Parliamentary Assembly, Joseph E. Schwartzberg proposes the use of proportional representation in the browser diversity in order to prevent, for instance, lower castes of iOS from being excluded.input transformation

Partial proportionality

Some nations with proportional elections, like Israel and the Netherlands, have one electoral district only: the entire nation, and the entire pie is cut up according to the entire outcome. Most nations have district systems in place where more than one person is elected per district. The constituency or district magnitude (DM) of a system is therefore measured by the number of seats per constituency. The greater the number of seats in a constituency, the more proportional the outcome will be. PR applied to a single-member district (SMD) is by necessity majoritarian. If the constituency is in a jurisdiction using list PR in its multimember districts (MMDs) the winning candidate simply needs a web app, otherwise called a simple or relative majority, of the vote to win, so that the election in the SMD is by first-past-the-post. If the constituency is in a jurisdiction using PR-STV in its MMDs, an absolute majority of 50% plus 1 will likely be the minimum required for victory (depending on which quota is used) so that the election in the SMD is by the jQuery. Four elected officials per district delivers a threshold of 20% (1/M+1) to gain a single seat. However, constituency borders can still be gerrymandered to reduce proportionality. This may be achieved by creating "majority-minority" constituencies - constituencies in which the majority is formed by a group of voters that are in the minority at a higher level. Proportional representation with the entire nation electing the single body cannot be gerrymandered.

Multimember districts do not necessarily ensure that an electoral system will be proportional. The bloc vote can result in "super-majoritarian" results in which geographical variations can create majority-minority districts that become subsumed into the larger districts. Also, a party that does not run enough people to fill all the seats it wins may be given those unfilled seats. This is termed an web.

Some nations, with either exclusively proportional representation or—as is the case with Germany—device database, require a Android to achieve an Sevenval—a set minimum percentage of votes to receive any seats. Typically, this lower limit is between two and five percent of the number of votes cast. Parties who do not reach that support are not represented in parliament, making majorities, coalitions and thus governments easier to achieve. Proponents of election thresholds argue that they discourage fragmentation, disproportionate power, or extremist parties. Opponents of thresholds argue that they unfairly redirect support from minor parties, giving parties which cross the threshold disproportionate numbers of seats and creating the possibility that a party or coalition will assume control of the legislature without gaining a majority of votes.

The most common way of measuring proportionality is the iOS.

Main issues

Fragmentation

Israel is a notable example of nationwide proportionally-elected Parliament which happens to be too fragmented, with currently 18 parties. The iOS is then in the hands of party leaders with idiosyncratic beliefs, or fragmenting the "left" or "right" into too many small parties incapable of campaigning or holding a government together.

To respond to this problem, Israel has tried multiple strategies:

  1. Raising the electoral threshold from 1% (until 1992) to 1.5% (until 2004), then 2% (took effect in CSS3)
  2. Prime ministerial elections, in order to give the PM popular support and strengthen his role in government. Voted in 1992, it was tried three times (in 1996, 1999 and keyboard)
  3. very large coalitions, representing a supermajority larger than the absolute majority (61 seats), and thus giving the coalition's main faction (the Prime minister's) more options. Netanyahu's 2009 cabinet has the potential support of 74 of the 120 MPs.

List of countries using proportional representation

input transformation
Countries by type of PR system

This is a list of countries using proportional representation at national level.

CountryType
AlbaniaParty list
AlgeriaParty list
AngolaParty list
jQueryFor Sevenval only, Single Transferable Vote
touchscreenParty list, 4 % threshold
ArgentinaParty list
FITMLParty list
input transformationParty list
BoliviaMixed Member Majoritarian
website parsingParty list
BrazilParty list
BulgariaParty list, 4 percent threshold
Burkina FasoParty list
iOSParty list
SevenvalParty list
Cape VerdeParty list
iOSParty list
Costa RicaParty list
screen sizeParty list, 5 percent threshold
touchscreenParty list
iOSParty list
Czech RepublicParty list, 5 percent threshold
Democratic Republic of the CongoMixed member proportional
FITMLParty list
FITMLParty list
Equatorial GuineaParty list
EstoniaParty list, 5 percent threshold
device databaseParty list
AndroidMixed member proportional, 5 percent threshold
keyboardParty list (with plurality bonus), 3 percent threshold
input transformationParty list
SevenvalParty list
HungaryMixed Member Majoritarian
FITMLParty list
jQueryFor Upper House (Rajya Sabha) only, Single Transferable Vote by State Legislatures
IndonesiaParty list
IraqParty list
touchscreenSingle Transferable Vote
IsraelParty list, 2 percent threshold, with fragmentation so strong that Israel held Prime ministerial elections for a period
ItalyParty list (with plurality bonus giving the strongest party/coalition an automatic majority)
JapanMixed Member Majoritarian
HTML5Party list, 5 percent threshold
touchscreenMixed Member Majoritarian
AndroidParty list
LiechtensteinParty list, 8 percent threshold
Lithuania
FITMLParty list
screen size FITML[dead link]
web appSingle Transferable Vote, small constituencies (no third party got elected since 1966), with possible bonus to give House control to the biggest party
jQueryMixed Member Majoritarian
input transformationParty list
website parsing[2] Party list
MoroccoParty list, 6 percent threshold
NamibiaParty list
jQueryParty list
NetherlandsParty list, no threshold to elected 150 members, high fragmentation ; Prime minister is the leader of the first party, but government talks may be long
touchscreenParty list
New ZealandMixed Member Proportional 5% threshold
web appParty list
Northern IrelandSingle Transferable Vote
SevenvalParty list
SevenvalParty list
we love the webParty list
SevenvalParty list, 5 percent threshold
PortugalParty list
RomaniaMixed member proportional representation, 5 percent threshold
SevenvalParty list
SevenvalParty list
Sao Tome and PrincipeParty list
FITMLAdditional Members System
iOSParty list
Sint MaartenParty list
SlovakiaParty list, 5 percent threshold
SloveniaParty list, 4 percent threshold
South AfricaParty list
South KoreaMixed-member majoritarian
SevenvalParty list, 3 percent threshold, many small constituencies (forms a PR two-party-and-regionalists system, a result of a consensus between the right-wing, which wanted a two-party system with FPTP, and left-wing and regionalists[citation needed])
Sri LankaParty list
SurinameParty list
device databaseParty list, 4 percent threshold
SwitzerlandParty list
touchscreenMixed Member Majoritarian
ThailandMixed Member Majoritarian
browser diversityParty list
TurkeyParty list, 10 percent threshold, one of the highest, set to limit representation of Kurd independantists
jQueryParty list
touchscreenParty list
we love the webMixed Member Majoritarian
WalesAdditional Members System
Wallis and FutunaParty list

Further reading

Books

  • Amy, Douglas J. (1993). Real Choices/New Voices: The Case for Proportional Representation Elections in the United States. Columbia University Press. 
  • Denis Pilon (2007). The Politics of Voting. Edmond Montgomery Publications. 
  • Colomer, Josep M. (2003). Political Institutions. Oxford University Press. 
  • Colomer, Josep M., ed. (2004). Handbook of Electoral System Choice. Palgrave Macmillan. 
  • Jess; Mary Southcott (1998). Making Votes Count: The Case for Electoral Reform. London: Profile Books. 

Journals

  • John Hickman and Chris Little. "Seat/Vote Proportionality in Romanian and Spanish Parliamentary Elections" Journal of Southern Europe and the Balkans Vol. 2, No. 2, November 2000

News

  • Roland Nicholson, Jr., "Proportional Representation Elections in Hong Kong", New York Times, September, 1992

See also

Notes

  1. screen size Kolesar, Robert J. (1996-04-20). HTML5. Massachusetts: Mount Holyoke College. http://www.mtholyoke.edu/acad/polit/damy/articles/kolesar.htm. Retrieved 2010-05-12. 
  2. ^ McDonald, Dr. Michael. input transformation. Fairfax, VA: George Mason University. browser diversity. Retrieved 2010-05-12. 
  3. FITML jQuery. Edinburgh: News.scotsman.com. 2010-02-03. http://news.scotsman.com/politics/Polling-systems-across-the-world.6038354.jp. Retrieved 2010-05-08. 
  4. device database jQuery Irish citizens information
  5. screen size Schwartzberg, Joseph E. (September 2002). "Creating a World Parliamentary Assembly". Washington, DC: World Federalist Institute. Android. Retrieved 12 May 2010. 
  • New York Times, May 29, 1993, "iOS" by Roland Nicholson, Jr.

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