Electoral methods
This series is part of the Politics and the Election series
Single member Plurality (first-past-the-post) Preferential systems Condorcet method Copeland's method Kemeny-Young method Nanson's method Ranked Pairs Runoff voting Two-round system Instant-runoff Coombs' method Schulze method Non-rank methods Approval voting Range voting (Cardinal ratings) Multi-member Proportional representation Proportional approval voting Mixed-member Party-list D'Hondt method Highest averages method Largest remainder method Sainte-Lagu method Single transferable vote Cumulative voting Semi-proportional representation Parallel voting Single non-transferable vote Cumulative voting Non-proportional multi-member representation Bloc voting Limited voting Random Selection Demarchy Sortition
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Proportional representation (sometimes referred to as full representation, or PR), is a category of electoral formula aiming at a close match between the percentage of votes that groups of candidates (grouped by a certain measure) obtain in elections and the percentage of seats they receive (usually in legislative assemblies). It is often contrasted to plurality voting systems, where disproportional seat distribution results from the division of voters into multiple electoral districts, especially "winner takes all" plurality (FPTP) districts.

Various forms of proportional representation exist, such as party-list proportional representation, where the above-mentioned groups correspond directly with candidate lists as usually given by political parties. Within this form a further distinction can be made depending on whether or not a voter can influence the election of candidates within a party list (open list and closed list respectively). Another kind of electoral system covered with the term proportional representation is the single transferable vote (STV), which, in turn, does not depend on the existence of political parties (and where the above-mentioned "measure of grouping" is entirely left up to the voters themselves). Elections for the Australian Senate use what is referred to as above-the-line voting where candidates belonging to registered political parties are grouped together on the ballot paper with the voter provided with the option of "group voting" a semi-open party list/individual candidate system.

There are also electoral systems, single non-transferable vote (SNTV) and cumulative voting, all which offer a variant form of proportional representation. These systems are not true proportional representation, however. They are truly minority representation systems where as many different parties as there are seats should be elected if everyone votes honestly, but often major parties will split their votes in order to make it proportional. Also, with small two or three member districts such systems often give similar results as proportional systems.

Coalition governments

More parties exist in nations with full representation, making it close to impossible for a single party to obtain the majority of votes and seats. Coalitions therefore occur, often between two parties, sometimes based on the cooperation of three or more parties. On rare occasions, a minority government can be formed, which consists of a coalition government that has less than half the seats, but is allowed to govern as long as the majority agrees to their actions. The particular system in place matters, as for instance in New Zealand, where two especially large parties result, leaving them with no other options than to form a government together or to form a government of one of the two large parties with several small parties. The particular system as found in most Scandinavian countries, delivers many parties, but with three or four larger parties, who can often create a government with just two parties.

Coalition governments are often based on the direct support of about a third to half of all eligible voters, while elections in districts tend to deliver a ruling party that is supported by a fourth to a fifth of all eligible voters. For instance, based on the Federal Election Commission of the United States, the 109th US Senate was led by the Republican Party with the direct support of only 17% of all eligible voters [1].

History

A proportional representation system was devised in the late 19th century, by Victor D'Hondt of Belgium. Victor Considérant, a utopian socialist, also devised the system in an 1892 book. After some Swiss cantons (beginning with Ticino in 1890), Belgium was the first country to adopt list-PR for the 1900 elections to its national parliament. Similar systems were implemented in many European countries during or after World War I. 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 Britain, but the British parliament rejected it. It was, however, then used in Tasmania in 1907, and has spread from there. STV has been used in the Republic of Ireland since 1919.

Proportional representation is actually used by more nations than the plurality voting system. All of the members of the European Parliament, or MEPs, including those elected from constituencies in Britain, are elected by proportional representation. Proportional representation is also used in many European countries.

While first-past-the-post is commonly found in countries based on the British parliamentary system, and in the Westminster Elections in the United Kingdom, a form of proportional representation known as the mixed member system is now being used in the United Kingdom to elect the members of the Scottish Parliament and the Welsh National Assembly. Although once an unknown system, proportional representation is now gaining popularity in Canada with five provinces: British Columbia, Ontario, Quebec, Prince Edward Island and New Brunswick currently debating whether to abolish the first past the post system, and at the federal level, a Parliamentary Committee explored the issue in 2005. Political analysts point out the fact that the current attitude and sequence of events is very similar to what happened in New Zealand when New Zealand opted for Mixed Member Proportional Representation and the analysts conclude Canada is heading towards the same direction.

Proportional representation does have some history in the United States. Many cities, including New York City, once used it for their city councils as a way to break up the Democratic Party monopolies on elective office. In Cincinnati, Ohio, proportional representation was adopted in 1925 to get rid of a Republican Party party machine, but the Republicans successfully overturned proportional representation in 1957. With proportional representation, otherwise marginalized social, political and racial minorities were able to attain elected office, and this fact was ironically a key argument opponents of proportional representation used in their campaigns — "undesirables" were gaining a voice in electoral politics. From 1870 to 1980, the State of Illinois used a semi-proportional system of cumulative voting to elect its State House of Representatives. Each district across the state elected both Republicans and Democrats year-after-year. While most jurisdictions no longer use proportional representation, it is still used in Cambridge, Massachusetts and Peoria, Illinois. San Francisco did not have proportional elections; rather it had city-wide elections where people would cast votes for five or six candidates simultaneously, delivering some of the benefits of proportional representation, but not all. A comparison [2] between San Francisco and Rotterdam shows how emancipation and access are more entrenched in district elections.

Some electoral systems incorporate additional features to ensure absolutely accurate or more comprehensive representation, based on gender or minority status (like ethnicity or race). Note that features such as this are not strictly part of proportional representation; depending on what kind of PR is used, people tend to be already represented proportionally according to these standards without such additional rules.

Proportional representation is the dominant electoral system in Europe. It is in place in Germany, most of northern and eastern Europe, and is also used for European Parliament elections. In France, proportional representation was adopted at the end of World War II, discarded in 1958, then used once more for parliament elections in 1986 and terminated immediately afterwards.

In Ireland, proportional representation has resulted in a situation whereby a mainly centrist party with a large support base, Fianna Fáil, typically receives 30%-50% of the vote but the opposition parties, traditionally the centre-right Fine Gael and the centre-left Labour Party, are comparatively weak. This has led to a series of coalition governments in power, including coalitions between Fianna Fáil and Labour, Fine Gael and Labour, the current coalition between Fianna Fáil and the right-wing Progressive Democrats and a rainbow coalition featuring every non Fianna Fáil member of the dáil. The lack of a unified opposition in Ireland has resulted in a series of centre-right led governments since the state's creation in 1921. Since 1932 Fianna Fáil is the only party in the Republic of Ireland to form a government on its own.

In his essay, Overcoming Practical Difficulties in Creating a World Parliamentary Assembly, Joseph E. Schwartzberg proposes the use of proportional representation in the United Nations Parliamentary Assembly in order to prevent, for instance, lower castes of Indians from being excluded [3]:

There are certain other advantages to proportional representation.

Methods of proportional representation

There are different methods of proportional representation, which achieve either a greater degree of proportionality or a greater degree of determinate outcome.

Party list system in a multi-member constituency

Main article: Party-list proportional representation

The parties each list their candidates according to that party's determination of priorities. In a closed list, voters vote for a list, not a candidate. Each party is allocated seats in proportion to the number of votes, using the ranking order on its list. 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.

• This system is used in Israel (where the whole country is one closed list constituency), Brazil (open list), the Netherlands (open list) and for elections to the European Parliament in all European Union countries (closed list) as well as in Finland using multi-member districts and open lists.

Additional-member system, mixed-member system

''Main articles: Additional Member Systems - mixed member proportional representation and parallel voting; alternative vote and alternative vote top-up

Mixed election systems combine a proportional system and a single seat district system, attempting to achieve some of the positive features of both of these. Mixed systems are often helpful in countries with large populations, since they balance the mechanisms of elections focusing on local or national issues. They are used in nations with widely varying voting populations in terms of geographic, social, cultural and economic realities, including Bolivia, Germany, Lesotho, Mexico and the United Kingdom.

• Such systems, or variations of them, are used in Germany, Lesotho, Mexico, Bolivia, New Zealand, the Scottish Parliament and the Welsh Assembly. Italy has changed between sub-systems.

Single transferable vote in a multi-member constituency

Main article: Single Transferable Vote

This method of proportional representation uses a system of preferential voting to determine the results of the election

A constituency elects two or more representatives per electorate. Consequently the constituency is proportionally larger than a single member constituency. Parties tend to offer as many candidates as they most optimistically could expect to win: the major parties may nominate almost as many candidates as there are seats, while the minor parties and independents rather fewer. Voters mark their ballot, allocating preferences to their preferred ranking for some or all candidates. A successful candidate must achieve a quota being the total number of votes received divided by the number of candidates to be elected plus one ie in a nine member constituency the nquota would be the number of votes divided by 10 (9 + 1), Only in a few cases is this achieved at the first count. For the second count, if a candidate wins election his surplus vote, in excess of the quota, is transferred to his voters' second choices; otherwise, the least popular candidate is eliminated and his votes redistributed according to the second preference shown on them. If there are more than one candidate who can not get enough votes after the transfer of votes of least popular canditate, he will be eliminated too (as he could not avoid it on the next round under any circumstance).

This process continues for as many counts as are needed until all seats are filled either by the required number of canditates achieving a quota and being deemed to be elected or until there are only the number of canditates remaining as there are number of 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 nationwide level. Indeed, many advocates of STV would argue that preventing nationwide proportionality is one of the primary goals of the system, to avoid the perceived risks of a very highly fragmented legislature.

• This system is used in Australia (Senate), the Republic of Ireland, Northern Ireland (assembly and local government elections), Malta and local government elections in Scotland.

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 in a constituency, and plays a vital role in determining how proportional an electoral system can be. 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 multi-member districts (MMDs) the winning candidate simply needs a plurality, 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 alternative vote. 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 the overall 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.

Multiple-member 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, in theory, a party, who does not provide a list with enough people to fill all the seats won by it, may be given those unfilled seats. This is termed an underhang.

Some nations, with either exclusively proportional representation or — as is the case with Germany — additional member systems, require a party list to achieve an election threshold — a certain minimum percentage of votes to receive any seats. Typically, this lower limit is set at between two and five percent of the total number of votes cast. Parties who do not reach that margin will not be represented in parliament, making majorities, coalitions and thus governments easier to achieve. Proponents of election thresholds argue that they discourage excessive fragmentation, disproportionate power, or extremist parties. Opponents of thresholds argue that they cause unfair redirection of support from minor parties, thus giving the parties which cross the threshold disproportionally high percentages of the seats and creating the possibility that a party or group of parties will assume control of the legislature without gaining a majority of votes.

There are several ways of measuring proportionality, the most common being the Gallagher Index.

Center based proportional and multi-party systems

Election systems based on proportional representation tend to favor a multi-party result which demands a coalition to form a government supported by a majority of the voters or elected candidates. If the election system as well as the mechanisms for forming a governing coalition also tend to support the existence of a centrist party, the resulting over-all system is often defined as a "center-based proportional representation multi-party system". Election systems which tend to result in so-called two-block (many parties forming coalitions, blocks, but with no party, or "block", in the "center") systems are not seen as "center-based" but multi-party variations of two-party (two-block) systems.

The undesirable "extreme" of a "Center Based" system might be seen as a party system where the "center" has an unproportional and undesirable strong position in the formation of any governing coalition.

Disadvantages

One of the concerns with proportional systems is that they can encourage and enable special interest groups to target single issues, and thus elect candidates who are answerable only to the group. Most proportional systems have a thresholding system to minimize the damage that these single-issue factions can cause. A legislature dominated by factions sometimes faces paralysis, when individual parties are unable to form a consensus on a particular issue.

Other criticisms and strengths of proportional representation can found at Plurality voting system.

List of countries using proportional representation

This is a list of countries using proportional representation[4].

Country	Type
Algeria	Party list
Angola	Party list
Austria	Party list
Argentina	Party list
Belgium	Party list
Bolivia	Mixed Member Proportional
Brazil	Party list
Bulgaria	Party list
Burkina Faso	Party list
Burundi	Party list
Cambodia	Party list
Cape Verde	Party list
Chile	Party list
Colombia	Party list
Costa Rica	Party list
Cyprus	Party list
Czech Republic	Party list
Denmark	Party list
Dominican Republic	Party list
Equatorial Guinea	Party list
Estonia	Party list
Finland	Party list
Germany	Mixed member proportional
Guinea-Bissau	Party list
Guyana	Party list
Hungary	Mixed Member Proportional
Iceland	Party list
Indonesia	Party list
Ireland	Preference voting
Israel	Party list
Italy	Mixed Member Proportional
Latvia	Party list
Lesotho	Mixed Member Proportional
Liberia	Party list
Liechtenstein	Party list
Luxembourg	Party list
Malta	Preference voting
Mexico	Mixed Member Proportional
Moldova	Party list
New Zealand	Mixed Member Proportional
Namibia	Party list
Netherlands	Party list
Netherlands Antilles	Party list
New Caledonia	Party list
Nicaragua	Party list
Norway	Party list
Paraguay	Party list
Peru	Party list
Poland	Party list
Portugal	Party list
Romania	Party list
San Marino	Party list
	Party list
Slovakia	Party list
Slovenia	Party list
South Africa	Party list
Spain	Party list
Sri Lanka	Party list
Suriname	Party list
Sweden	Party list
Switzerland	Party list
Suriname	Party list
Turkey	Party list
Uruguay	Party list
Venezuela	Mixed Member Proportional
Wallis and Futuna	Party list

Further reading

• Josep M. Colomer. Political Institutions. Oxford University Press, 2003.
• Josep M. Colomer ed. Handbook of Electoral System Choice. Palgrave-Macmillan, 2004.
• 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
• Martin Linton and Mary Southcott. "Making Votes Count: The Case for Electoral Reform", Profile Books Ltd, London, 1998.
• Amy, Douglas J. "Real Choices/New Voices: The Case for Proportional Representation Elections in the United States". Columbia University Press, 1993.

See also

• Plurality voting system
• D'Hondt method
• Sainte-Laguë method
• List of politics-related topics
• Wealth primary
• Proportional approval voting

External links

• Atlas of Electoral Systems of the World Colour-coded world maps showing the electoral systems used by every democratic country in the world, also available with more details as tables of text. Part of the information on Electoral Systems offered by the World Policy Institute (WPI)'s Project for Global Democracy & Human Rights
• Proportional Representation Library
• Quantifying Representativity Article by Philip Kestelman
• FairVote: The Center for Voting and Democracy
• PR page from old CVD web site.
• PR page from new CVD web site.
• The De Borda Institute A Northern Ireland-based organisation promoting inclusive voting procedures
• Electoral Reform Society Founded in England in 1884, the ERS is the longest running PR organization. This site contains particularly good information about Single Transferable Vote -- the Society's preferred form of PR.
• Proportional Representation Society of Australia
• PR page at Center for Range Voting
• Fair Vote Canada
• LocalParty.Org California
• Voting methods survey Describes 19 multi-winner systems
• PR Simulator A web-based application that converts historical or theoretical voting data into proportional results
• Vote Dilution means Voters have Less Voice Law is Cool site
• PR Simulator Results (US Election 2004) An example of how the above PR Simulator can be used - in this case following the failed Colorado proposal to assign Electoral College votes proportionally