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Two Round System

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Two-round system



 
 
The two-round system (also known as the second ballot, runoff voting or ballotage) is a voting system
Voting system

A voting system allows voters to choose between options, often in an election where candidates are selected for public administration. Voting can be also used to award prizes, to select between different plans of action, or by a computer program to find a solution to a problem....
 used to elect a single winner. Under runoff voting, the voter simply casts a single vote for their favorite candidate. However, if no candidate receives an absolute majority of votes, then all candidates, except the two with the most votes, are eliminated, and a second round of voting occurs.

Runoff voting is widely used around the world for the election of legislative bodies and directly elected presidents.






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Encyclopedia


The two-round system (also known as the second ballot, runoff voting or ballotage) is a voting system
Voting system

A voting system allows voters to choose between options, often in an election where candidates are selected for public administration. Voting can be also used to award prizes, to select between different plans of action, or by a computer program to find a solution to a problem....
 used to elect a single winner. Under runoff voting, the voter simply casts a single vote for their favorite candidate. However, if no candidate receives an absolute majority of votes, then all candidates, except the two with the most votes, are eliminated, and a second round of voting occurs.

Runoff voting is widely used around the world for the election of legislative bodies and directly elected presidents. For example, it is used in French presidential, legislative, and cantonal elections
Elections in France

France is a representative democracy. Public officials in the legislative and executive branches are either elected by the citizens or appointed by elected officials....
, and also to elect the presidents of Argentina
President of Argentina

The President of Argentina is the head of state of Argentina. Under Constitution of Argentina, the President is also the Head of government of the Politics of Argentina and Commander-in-Chief of the armed forces....
, Austria
President of Austria

The Austrian Federal President is the federation head of state of Austria. Though theoretically entrusted with great power by the constitution, in practice the President acts, for the most part, merely as a ceremonial figurehead....
, Brazil
President of Brazil

The President of Brazil is both the head of state and head of government of the Federative Republic of Brazil. The presidential system was established in 1889, upon the proclamation of the republic in a military coup d'et?t against the Pedro II of Brazil....
, Bulgaria, Chile
President of Chile

The President of Chile is both the chief of state and the head of government. Under the current Constitution of Chile , the President is elected by popular vote to serve for a period of four years, with immediate re-election being prohibited....
, Cyprus, Dominican Republic, Finland
President of Finland

The President of Finland is the Head of State of Finland. Under the Constitution of Finland, executive power is vested in the President and the government, with the President possessing extensive powers....
, Ghana, Guatemala
President of Guatemala

The title of President of Guatemala has been the usual title of the leader of Guatemala since 1839, when that title was assumed by Mariano Rivera Paz....
, Indonesia
President of Indonesia

The President of the Republic of Indonesia is the Head of State as well as the Head of the Government of the Republic of Indonesia.The current president is Susilo Bambang Yudhoyono....
, Poland, Portugal
President of Portugal

Portugal has been a republic since 1910, the head of state being a president, whose official title is President of the Portuguese Republic Under the Portuguese Constitution adopted in 1976 in the wake of the Carnation Revolution of 1974, the President is elected for a five-year term, and may serve for a maximum of two consecutive terms....
, Romania
President of Romania

The President of Romania is the head of state of Romania. The President is directly elected by a two-round system for a five-year term . He or she can serve two terms....
, Serbia
President of Serbia

The President of Serbia is the head of state of the Serbia.The current President of Serbia is Boris Tadic, who was elected with 50.31% of the vote in the Serbian presidential election, 2008....
, Croatia
President of Croatia

The President of Croatia is the head of state. Croatia is a parliamentary democracy where the President's main role is leading the Military of Croatia and Foreign relations of Croatia together with the Croatian Government, in addition to a number of procedural duties of this eminent public office....
, Zimbabwe —see: Table of voting systems by nation
Table of voting systems by nation

This table deals with voting systems to select candidates for office, not for the passing of legislation....
.

Terminology


The two-round system is known as "runoff voting" in the United States, where the second round is known as a "runoff" election. Runoff voting is also sometimes used as a generic term to describe any system involving a number of rounds of voting, with eliminations after each round. By this broader definition the two-round system is not the only form of "runoff voting", and others include the exhaustive ballot
Exhaustive ballot

The exhaustive ballot is a voting system used to elect a single winner. Under the exhaustive ballot the voter simply casts a single vote for his or her favorite candidate....
. However the subject of this article is the two round system.

In Canada
Canada

Canada is a country occupying most of northern North America, extending from the Atlantic Ocean in the east to the Pacific Ocean in the west and northward into the Arctic Ocean....
, for example, candidates for party leadership, when there are more than two, use an exhaustive ballot system, often called a "runoff voting" system. It is like a runoff system, except the one candidate must win a simple majority, 50% plus one. Candidates with the fewest votes or candidates who want to move their support to other candidates may also move to remove themselves from the next vote.

Voting and counting


In both rounds of an election conducted using runoff voting, the voter simply marks an "X" beside his/her favorite candidate. If no candidate has an absolute majority of votes (i.e. more than half) in the first round, then the two candidates with the most votes proceed to a second round, from which all others are excluded. In the second round, because there are only two candidates, one candidate will achieve an absolute majority. In the second round each voter is entirely free to change the candidate he votes for, even if his preferred candidate has not yet been eliminated but he has merely changed his mind.

Some variants of the two round system use a different rule for eliminating candidates, and allow more than two candidates to proceed to the second round. Under these systems it is sufficient for a candidate to receive a plurality of votes (i.e. more votes than anyone else) to be elected in the second round. In elections for the French National Assembly any candidate with fewer than 12.5% of the total vote is eliminated in the first round, and all remaining candidates are permitted to stand in the second round, in which a plurality is sufficient to be elected. Under some variants of runoff voting there is no formal rule for eliminating candidates, but, rather, candidates who receive few votes in the first round are expected to withdraw voluntarily. Historically, the President of Weimar Germany
Reichspräsident

The Reichspr?sident was the Germany head of state during the period of the 1919-1934 Weimar Republic and the title was later briefly revived in 1945....
 was popularly elected by a two round system that did not require an absolute majority in the second round.

Examples


Example I


Imagine an election to choose which food to eat for dessert. There are 25 people having dessert and four candidates: Ice Cream, Apple Pie, Fruit and Celery. Runoff voting is used to find the winner.

Round 1: In the first round of voting each diner votes for the one candidate they most prefer. The results are as follows:

  • Ice Cream: 10 votes
  • Apple Pie: 6 votes
  • Fruit: 8 votes
  • Celery: 1 vote


Round 2: No candidate has an absolute majority of votes (in this election that would be 13) so the two candidates with the most votes, Ice Cream and Fruit, proceed to a second round, while Apple Pie and Celery are eliminated. Because their favourite candidates have been eliminated Apple Pie and Celery supporters must now vote for one of the two remaining candidates. The sole Celery supporter is health conscious, so now gives his vote to Fruit. However Apple Pie supporters are split: 3 prefer Ice Cream and 3 vote for Fruit. Of those who supported Ice Cream and Fruit in the first round no-one decides to change their vote. The results of the second round the are therefore:

  • Ice Cream: 13
  • Fruit: 12


Result: Ice Cream now has an absolute majority so is declared the winner.

Example II

Tennessee Map for Voting Example
Imagine that the population of Tennessee
Tennessee

Tennessee is a U.S. state located in the Southern United States United States. In 1796, it became the sixteenth state to join the United States....
, a state in the United States
United States

The United States of America is a Federal government constitutional republic comprising U.S. state and a federal district. The country is situated mostly in central North America, where its Contiguous United States and Washington, D.C., the Capital districts and territories, lie between the Pacific Ocean and Atlantic Oceans, Borders of the U...
, is voting on the location of its capital. The population of Tennessee is concentrated around its four major cities, which are spread throughout the state. For this example, suppose that the entire electorate
Constituency

A constituency is any cohesive body of people bound by shared identity, goals, or loyalty. Constituency can be used to describe a business's customer base and shareholders, or a charity's donors or those it serves....
 live in one of these four cities, and that they would all like the capital to be established as close to their own city as possible.

The candidates for the capital are:
  • Memphis, the state's largest city, with 42% of the voters, but located far from the other cities
  • Nashville, with 26% of the voters
  • Knoxville, with 17% of the voters
  • Chattanooga, with 15% of the voters


Round 1: In the first round of voting the results will be as follows:

  • Memphis: 42%
  • Nashville: 26%
  • Knoxville: 17%
  • Chattanooga: 15%


Round 2: No candidate has an absolute majority in the first round (this would be greater than 50%), so Memphis and Nashville proceed to the next round, while Knoxville and Chattanooga are excluded. Both eliminated cities are closer to Nashville than they are to Memphis. Therefore all of those who vote for either of the eliminated cities chose to vote for Nashville in the second round. None of the Memphis or Nashville supporters change their votes. The results are therefore:

  • Nashville: 58%
  • Memphis: 42%


Result: After round two Nashville has an absolute majority and is the winner.

Similar systems


Exhaustive ballot


The exhaustive ballot
Exhaustive ballot

The exhaustive ballot is a voting system used to elect a single winner. Under the exhaustive ballot the voter simply casts a single vote for his or her favorite candidate....
 (EB) is similar to the two round system, but involves several rounds of voting rather than just two. If no candidate receives an absolute majority in the first round then only one candidate is eliminated, the candidate with the fewest votes, before there is a further round. There are then as many rounds as necessary, with one candidate being eliminated each time, until one candidate has an absolute majority. Because voters may have to cast votes several times, EB is not used in large-scale public elections. Instead it is used in smaller contests such as the election of the presiding officer of an assembly; one long-standing example of its use is in the United Kingdom
United Kingdom

The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom , the UK or Britain,is a sovereign state located off the northwestern coast of continental Europe....
, where local associations (LCAs) of the Conservative Party
Conservative Party (UK)

The Conservative and Unionist Party, more commonly known as the Conservative Party, is a conservative political party in the United Kingdom....
 use EB to elect their prospective parliamentary candidates (PPCs). EB often elects a different winner from runoff voting. Because the two round system excludes more than one candidate after the first round, it is possible for a candidate to be eliminated who would have gone on to win the election under EB.

Instant-runoff voting


Instant-runoff voting
Instant-runoff voting

Instant-runoff voting is the American English term for a voting system used for Single-winner voting system, in which voting rank candidates in an order of preference....
 (IRV), like the exhaustive ballot, involves multiple rounds in which the candidate with fewest votes is eliminated each time. However while the exhaustive ballot and the two round system both involve voters casting a separate vote in each round, under instant-runoff voters vote only once. This is possible because, rather than voting for only a single candidate, the voter ranks all of the candidates in order of preference. These preferences are then used to "transfer" the votes of those whose first preference has been eliminated during the course of the count. Because the two round system and the exhaustive ballot involve separate rounds of voting, voters can use the results of one round to inform how they will vote in the next, whereas this is not possible under IRV. Because it is necessary to only vote once, IRV, like the two round system, is used for large-scale elections in many places. IRV often elects a different winner to the two round system and tends to produce the same results as the exhaustive ballot.

IRV is known by different names in different countries. In Australia
Australia

Australia, officially the Commonwealth of Australia, is a country in the southern hemisphere comprising the Australia of the world's smallest continent, the major island of Tasmania, and numerous list of islands of Australia in the Indian Ocean and Pacific Oceans....
 - where it is used to elect members of, among other institutions, its lower house - it is called Preferential voting
Preferential voting

Preferential voting is a type of ballot structure used in several voting systems in which voters rank a list or group of candidates in order of preference....
; in the United Kingdom
United Kingdom

The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom , the UK or Britain,is a sovereign state located off the northwestern coast of continental Europe....
 and the Republic of Ireland
Republic of Ireland

Ireland is an Island country in north-western Europe. The modern Sovereignty state occupies about five-sixths of the island of Ireland, which was partitioned by the British on 3 May 1921....
 - where it is used to elect the president - it is known as the Alternative Vote, or AV.

Contingent vote

The Contingent vote
Contingent vote

The contingent vote is an voting system used to elect a single winner, in which the voter ranks the candidates in order of preference. In an election, if no candidate receives an absolute majority of first preference votes, then all but the two leading candidates are eliminated and there is a second count....
 is a variant of instant-runoff voting that has been used in the past in Queensland
Queensland

Queensland is a States and territories of Australia of Australia, occupying the north-eastern section of the mainland continent. It is bordered by the Northern Territory to the west, South Australia to the south-west and New South Wales to the south....
, in Australia
Australia

Australia, officially the Commonwealth of Australia, is a country in the southern hemisphere comprising the Australia of the world's smallest continent, the major island of Tasmania, and numerous list of islands of Australia in the Indian Ocean and Pacific Oceans....
. A criticism of this method is that "it requires two polls, and gives opportunity for intrigue of various kinds." Under the contingent vote voters cast only one vote, by ranking all of the candidates in order of preference. However it involves only two rounds of counting and uses the same rule for eliminating candidates as the two round system. After the first round all but the two candidates with most votes are eliminated. Therefore one candidate always achieves an absolute majority in the second round. Because of these similarities the contingent vote tends to elect the same winner as the two round system, and often produces different results to instant-runoff voting. A variant of the contingent vote, called the supplementary vote, is used to elect mayors in England
England

native_name =|conventional_long_name = England|common_name = England|image_flag = Flag of England.svg|image_coat = England COA.svg|symbol_type = Royal Coat of Arms...
. Another variant elects the President of Sri Lanka
President of Sri Lanka

The President of Democratic Socialist Republic of Sri Lanka is the elected head of state and the head of government. The President is a dominant political figure in Sri Lanka....
.

Viability Threshold Voting

In some types of runoffs, the initial round of voting is used to determine viable candidates, which can possibly total more than just two.

For example, some precincts in American runoff elections count any candidate receiving at least 15% of the total vote a "viable" candidate, and their name will appear on the subsequent general election ballot (the general election only requires a plurality to win).

In other versions, candidates must receive at least the average percentage for major candidates. For example, in a primary with 5 candidates, the average threshold would be 20%. Each candidate receiving at least 20% of the vote moves along to the second round.

Tactical voting and strategic nomination


Runoff voting is intended to reduce the potential for eliminating "wasted" votes by tactical voting
Tactical voting

In voting systems, tactical voting occurs when a voter supports a candidate other than his or her sincere preference in order to prevent an undesirable outcome....
. Under the "first past the post
Plurality voting system

The plurality voting system is a single-winner voting system often used to elect executive officers or to elect members of a legislative assembly which is based on single-member Constituency....
" (plurality) system voters are encouraged to vote tactically by voting for only one of the two leading candidates, because a vote for any other candidate will not affect the result. Under runoff voting this tactic, known as "compromising", is sometimes unnecessary because, even if a voter's favourite candidate is eliminated in the first round, they will still have an opportunity to influence the result of the election by voting for a more popular candidate in the second round. However the tactic of compromising can still be used in runoff voting because it is sometimes necessary to compromise as a way of influencing which two candidates will survive to the second round. In order to do this it is necessary to vote for one of the three leading candidates in the first round, just as in an election held under the plurality system it is necessary to vote for one of the two leading candidates.

Runoff voting is also vulnerable to another tactic called "push over". This is a tactic by which voters vote tactically for an unpopular "push over" candidate in the first round as a way of helping their true favourite candidate win in the second round. The purpose of voting for the "push over", in theory, is to ensure that it is this weak candidate, rather than a stronger rival, who survives to challenge a one's preferred candidate in the second round. But in practice, such a tactic may prove counter-productive. If so many voters give their first preferences to the "weak" candidate that it ends up winning the first round, it is highly likely they will gain enough campaign momentum to have a strong chance of winning the runoff, too, and with it, the election. At the very least, their opponent would have to start taking the so-called "weak" candidate seriously, particularly if the runoff follows quickly after the first round.

Runoff voting can be influenced by strategic nomination
Strategic nomination

Strategic nomination is the manipulation of an election through its candidate set . Strategic nomination is not to be confused with campaign strategy, the methods candidates employ in political campaigns to win an election after nomination....
; this is where candidates and political factions influence the result of an election by either nominating extra candidates or withdrawing a candidate who would otherwise have stood. Runoff voting is vulnerable to strategic nomination for the same reasons that it is open to the voting tactic of "compromising". This is because a candidate who knows they are unlikely to win can ensure that another candidate they support makes it to the second round by withdrawing from the race before the first round occurs, or by never choosing to stand in the first place. By withdrawing candidates a political faction can avoid the "spoiler effect
Spoiler effect

The "spoiler effect" is a term to describe the effect a minor party candidate with little chance of winning can have on a close election, in which their candidacy results in the election being won by a candidate dissimilar to them rather than a candidate similar to them....
", whereby a candidate "splits the vote" of its supporters. A famous example of this spoiler effect occurred in the 2002 French presidential election
French presidential election, 2002

The 2002 French presidential election consisted of a first round election on 21 April 2002, and a runoff election between the top two candidates on 5 May 2002....
, when so many left-wing candidates stood in the first round that all of them were eliminated and two right-wing candidates advanced to the second round. Conversely, an important faction may have an interest in helping fund the campaign of smaller factions with a very different political agenda, so that these smaller parties end up weakening their own agenda.

Impact on factions and candidates


Runoff voting encourages candidates to appeal to a broad cross-section of voters. This is because, in order to win an absolute majority in the second round, it is necessary for a candidate to win the support of voters whose favourite candidate has been eliminated. Under runoff voting, between rounds of voting eliminated candidates, and the factions who previously supported them, often issue recommendations to their supporters as to who to vote for in the second round of the contest. This means that eliminated candidates are still able to influence the result of the election. This influence leads to political bargaining between the two remaining candidates and the parties and candidates who have been eliminated, sometimes resulting in the two successful candidates making policy concessions to the less successful ones. Because it encourages concilliation and negotiation in these ways runoff voting is advocated, in various forms, by some supporters of deliberative democracy
Deliberative democracy

Deliberative democracy, also sometimes called discursive democracy, is a term used by some political theorys, to refer to any system of political decisions based on some tradeoff of direct democracy and representative democracy that relies on citizen deliberation to make sound policy....
.

Runoff voting is designed for single seat constituencies. Therefore, like other single seat methods, if used to elect a council or legislature
Legislature

Legislature is a type of representative deliberative assembly with the power to create and change laws. The law created by a legislature is called legislation or statutory law....
 it will not produce proportional representation
Proportional representation

Proportional representation , sometimes referred to as full representation, is a category of voting systems aimed at a close match between the percentage of votes that groups of candidates obtain in elections and the percentage of seats they receive ....
 (PR). This means that it is likely to lead to the representation of a small number of larger parties in an assembly, rather than a proliferation of small parties. In practice runoff voting produces results very similar to those produced by the plurality system, and encourages a two party system similar to those found in many countries that use plurality. Under a parliamentary system
Parliamentary system

Parliamentary systems are characterized by no clear-cut separation of powers between the executive and legislative branches, leading to a different set of checks and balances compared to those found in presidential systems....
 it is more likely to produce single party governments than are PR systems, which tend to produce coalition government
Coalition government

A coalition government is a Cabinet of a parliamentary system government in which several political party cooperate. The usual reason given for this arrangement is that no party on its own can achieve a majority in the parliament....
s. While runoff voting is designed to ensure that each individual candidate elected is supported by a majority of those in their constituency, if used to elect an assembly it does not ensure this result on a national level. As in other non-PR systems, the party or coalition which wins a majority of seats will often not have the support of an absolute majority of voters across the nation.

Majoritarianism


The intention of runoff voting is that the winning candidate will have the support of an absolute majority
Absolute majority

An absolute majority or majority of the entire membership is a voting basis which usually requires that more than half of all the members of a group must vote in favour of a proposition in order for it to be passed....
 of voters. Under the "first past the post" system the candidate with most votes (a plurality) wins, even if they do not have an absolute majority (more than half) of votes. The two rounds system tries to overcome this problem by permitting only two candidates in the second round, so that one must receive an absolute majority of votes.

Critics argue that the absolute majority obtained by the winner of runoff voting is an artificial one. As seen above, instant-runoff voting and the exhaustive ballot are two other voting systems that create an absolute majority for one candidate by eliminating weaker candidates over multiple rounds. However, as noted above in cases where there are 3 or more strong candidates, runoff voting will sometimes produce an absolute majority for a different winner than the candidate elected by the other two.

Advocates of Condorcet method
Condorcet method

A Condorcet method is any single-winner voting system that meets the Condorcet criterion, that is, which always selects the Condorcet winner, the candidate who would beat each of the other candidates in a run-off election, if such a candidate exists....
s argue that a candidate can claim to have majority support only if they are the "Condorcet winner" – that is, the candidate who would beat every other candidate in a series of one-on-one elections. In runoff voting the winning candidate is only matched, one-on-one, with one of the other candidates. When a Condorcet winner exists, he does not necessarily win a runoff election due to insufficient support in the first round.

Runoff advocates counter that voters first preference is more important than lower preferences because that's where voters are putting the most effort of decision and that, unlike Condorcet methods, runoffs require a high showing among the full field of choices in addition to a strong showing in the final head-to-head competition. Condorcet methods can allow candidates to win who have minimal first-choice support and can win largely on the compromise appeal of being ranked second or third by more voters.

Practical implications


In large-scale public elections the two rounds of runoff voting are held on separate days, and so involve voters going to the polls twice. In smaller elections, such as those in assemblies or private organisations, it is sometimes possible to conduct both rounds in quick succession. However the fact that it involves two rounds means that, for large elections, runoff voting is more expensive than some other electoral systems. It may also lead to voter fatigue
Voter fatigue

In politics, voter fatigue is the apathy that the electorate can experience when they are required to vote too often.It is often used as a criticism of the direct democracy system, in which voters are constantly asked to decide on policy via referendums....
 and a reduced turn-out
Voter turnout

Voter turnout is the percentage of eligible voting who cast a ballot in an election. After increasing for many decades, there has been a trend of decreasing voter turnout in most established democracy since the 1960s....
 in the second round. In French elections the second round seldom has a turn-out as high as the first. In runoff voting the counting of votes in each round is simple and occurs in the same way as under the plurality system. Preferential voting
Preferential voting

Preferential voting is a type of ballot structure used in several voting systems in which voters rank a list or group of candidates in order of preference....
 systems, such as instant-runoff voting, involve a longer, more complicated count.

See also

  • Run-off primary election


External links

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