All Topics  
Exhaustive ballot

 

   Email Print
   Bookmark   Link






 

Exhaustive ballot



 
 
The exhaustive ballot 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 the exhaustive ballot the voter simply casts a single vote for his or her favorite candidate. However if no candidate receives an absolute majority of votes then the candidate with the fewest votes is eliminated and a further round of voting occurs. This process is repeated for as many rounds as necessary until one candidate has a majority.

The exhaustive ballot is similar to the two round system
Two-round system

The two-round system is a voting system used to elect a single winner. Under runoff voting, the voter simply casts a single vote for their favorite candidate....
, but differs from it in that the two round system involves only two rounds of voting, whereas in the exhaustive ballot there are often several.






Discussion
Ask a question about 'Exhaustive ballot'
Start a new discussion about 'Exhaustive ballot'
Answer questions from other users
Full Discussion Forum



Encyclopedia


The exhaustive ballot 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 the exhaustive ballot the voter simply casts a single vote for his or her favorite candidate. However if no candidate receives an absolute majority of votes then the candidate with the fewest votes is eliminated and a further round of voting occurs. This process is repeated for as many rounds as necessary until one candidate has a majority.

The exhaustive ballot is similar to the two round system
Two-round system

The two-round system is a voting system used to elect a single winner. Under runoff voting, the voter simply casts a single vote for their favorite candidate....
, but differs from it in that the two round system involves only two rounds of voting, whereas in the exhaustive ballot there are often several. Because voters may have to cast votes several times, the exhaustive ballot is not used in large-scale public elections. Instead it is usually used in elections involving, at most, a few hundred voters, such as the election of the presiding officer of an assembly. The exhaustive ballot is currently used, in different forms, to elect the President of the European Parliament
President of the European Parliament

The President of the European Parliament presides over the debates and activities of the European Parliament. He or she also represents the Parliament within the EU and internationally....
, the speaker
Speaker (politics)

The term speaker is a title often given to the presiding officer of a legislative body. The speaker's official role is to moderate debate, make rulings on procedure, announce the results of votes, and the like....
s of the Canadian
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....
 and (in future) British
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....
 Houses of Commons
House of Commons

The House of Commons is the name of the elected lower house of the bicameral parliaments of the United Kingdom and Canada.In the UK and Canada, the Commons holds much more legislative power than the upper house of parliament ....
, the various party nominees for President of the United States
President of the United States

The President of the United States is the head of state and head of government of the United States and is the highest political official in the United States by influence and recognition....
, and the host city of the Olympic Games
Olympic Games

The Olympic Games are an international multi-sport event established for both summer and winter sports. There have been two generations of the Olympic Games; the first were the Ancient Olympic Games held at Olympia, Greece, Greece....
.

Voting and counting

Plurality Ballot
In each round of an exhaustive ballot the voter simply marks an 'x' beside his or her favourite candidate. If no candidate has an absolute majority of votes (i.e. more than half) in the first round, then the candidate with the fewest votes is eliminated while all other candidates advance to a second round. If there is still no candidate with a majority then the candidate with the fewest votes is again eliminated and there is a third round. The process repeats itself for as many rounds as are necessary for one candidate to achieve a majority. If necessary, the election will continue until only two candidates remain. When this occurs one of the two must achieve an absolute majority. From one round to another, the voter is entirely free to change the candidate he or she votes for, even if his or her preferred candidate has not yet been eliminated but he or she has merely changed his or her mind.

Variations

  • Under some variants of the exhaustive ballot there is no formal rule for eliminating candidates from one round to another; rather, candidates are expected to withdraw voluntarily.
  • Some variations slowly raise an elimination threshold in to encourage compromise. For example, the Minnesota Democratic-Farmer-Labor Party
    Minnesota Democratic-Farmer-Labor Party

    The Minnesota Democratic-Farmer-Labor Party is a major political party in the United States of America U.S. state of Minnesota. It was created on April 15, 1944 when the Minnesota Democratic Party and the Minnesota Farmer-Labor Party merged....
     for U.S. Senate endorsement 2008 will use an exhaustive runoff with a drop off rule starting at 5% and increasing to 25% after round 5, after which one candidate with the lowest votes will eliminated per round until no more than two remain.
  • There are also variants which exclude more than one candidate at a time. For example in elections for the speakers of the Canadian and British Houses of Commons any candidate with fewer than 5% of all votes in the first round is immediately eliminated.


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. An exhaustive ballot is held 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 Celery, which has the fewest votes, is eliminated. The three remaining candidates proceed to the second round. The Celery supporter is health conscious, so now gives his vote to Fruit rather than either of the other two candidates. None of the other diners choose to change their votes. So in the second round the votes cast are:

  • Ice Cream: 10
  • Apple Pie: 6
  • Fruit: 9


Round 3: There is still no candidate with a majority so Apple Pie, who is now the candidate with least votes, is eliminated. Apple Pie supporters now split into two groups. 2 prefer Ice Cream but 4 vote for Fruit. So the final result is:

  • Ice Cream: 12
  • Fruit: 13


Result: Fruit 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
Electorate

Electorate may refer to:* All the people entitled to vote in an election. See constituency.* An electoral district, the geographic area of a particular election....
 live in one of these four cities, and that they would like the capital to be established as close to their city as possible.

The candidates for the capital are:
  • Memphis
    Memphis, Tennessee

    Memphis is a city in the southwest corner of the U.S. state of Tennessee, and the county seat of Shelby County, Tennessee. Memphis rises above the Mississippi River on the 4th Chickasaw Bluff just south of the mouth of the Wolf River ....
    , the state's largest city, with 42% of the voters, but located far from the other cities
  • Nashville
    Nashville, Tennessee

    Nashville is the Capital of the U.S. state of Tennessee and the county seat of Davidson County, Tennessee. It is the second most populous city in the state after Memphis, Tennessee....
    , with 26% of the voters
  • Knoxville
    Knoxville, Tennessee

    Founded in 1786, Knoxville is the third-largest city in the U.S. state of Tennessee, behind Memphis, Tennessee and Nashville, Tennessee, and is the county seat of Knox County, Tennessee....
    , with 17% of the voters
  • Chattanooga
    Chattanooga, Tennessee

    Chattanooga, "the Scenic City", is the fourth-largest city in Tennessee , and the county seat of Hamilton County, Tennessee, in the United States....
    , 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 Chattanooga, who has the fewest votes, is eliminated and the remaining three candidates proceed to Round 2. In this round the Chattanooga supporters vote instead for Knoxville, the next nearest city to their own. None of the other voters need change their votes. The results are therefore:

  • Memphis: 42%
  • Nashville: 26%
  • Knoxville: 32%


Round 3: Nashville is now eliminated, so that only two candidates remain for the final round. The Nashville supporters change their vote to Knoxville, the next nearest city to their own. The result of the third round is therefore:

  • Memphis: 42%
  • Knoxville: 58%


Result: After round three Knoxville has an absolute majority so is the winner.

Use in practice


  • Host city of the Olympic Games: The host city of Olympic Games is chosen by an exhaustive ballot of members of the International Olympic Committee
    International Olympic Committee

    The International Olympic Committee is an organization based in Lausanne, Switzerland, created by Pierre de Coubertin and Demetrios Vikelas on June 23, 1894....
    . Members from a country which has a city competing in the election are forbidden from voting unless the city has been eliminated.
  • President of the European Parliament: The President of the European Parliament
    President of the European Parliament

    The President of the European Parliament presides over the debates and activities of the European Parliament. He or she also represents the Parliament within the EU and internationally....
     is elected by all members of the body to be its 'speaker' or chairperson. In the election if no candidate receives an absolute majority in the first round then there are up to three more rounds. In the second and third rounds anyone who wants to is free to stand, but candidates who perform poorly sometimes withdraw to help others be elected. If no-one achieves an absolute majority in the third round then only the two candidates with most votes are allowed to proceed to the fourth and final round of voting.
  • Speaker of the British House of Commons: The Speaker of the British House of Commons
    Speaker of the British House of Commons

    In the United Kingdom, the Speaker of the House of Commons is the presiding officer of the House of Commons of the United Kingdom, and is seen historically as the First Commoner of the Land....
     is elected by secret ballot
    Secret ballot

    The secret ballot is a voting method in which a voter's choices are confidential. The key aim is to ensure the voter records a sincere choice by forestalling attempts to influence the voter by intimidation or bribery....
     by members of the house. If no candidate achieves an absolute majority in the first round then the candidate with fewest votes and any other candidate who has received less than 5% of all votes is immediately eliminated. Subsequent rounds proceed according to the ordinary rules of the exhaustive ballot.
  • Speaker of the Canadian House of Commons: The Speaker of the Canadian House of Commons
    Speaker of the Canadian House of Commons

    In Canada the Speaker of the Canadian House of Commons is the Presiding Officer of the lower house and is elected at the beginning of each new parliament by fellow MPs....
     is elected under essentially the same variant of the exhaustive ballot used for the British counterpart, with candidates on less than 5% in the first round immediately excluded.
  • Party nominees for the President of the Unites States: Delegates to the Democratic
    Democratic Party (United States)

    The Democratic Party is one of two major party contemporary political parties in the United States, along with the Republican Party . It is the oldest political party in continuous operation in the United States and it is one of the oldest parties in the world....
     and Republican Parties'
    Republican Party (United States)

    The Republican Party is one of the two major party contemporary political parties in the United States, along with the Democratic Party . It is often called the Grand Old Party or the GOP....
     respective nominating conventions
    United States presidential nominating convention

    A United States presidential nominating convention is a Political Convention held every four years in the United States by most of the political party who will be fielding nominees in the upcoming U.S....
     cast votes for their preferred candidate, and if no majority is reached on the first ballot, additional rounds follow until one candidate reaches a majority. In the past this process could be long and acrimonious, ending only with brokered deals
    Brokered convention

    A brokered convention refers to a situation in United States politics in which there are not enough delegates 'won' during the United States presidential primary elections for a single candidate to have a pre-existing majority, during the official vote for a political party's presidential-candidate ....
     made in a proverbial smoke-filled room
    Smoke-filled room

    In United States political slang, a smoke-filled room is a secret political gathering or decision-making process. The phrase is generally used to suggest a cabal of powerful or well-connected individuals meeting privately to nominate a dark horse candidate or make some other decision without regard for the will of the public....
    . In the modern day the actual voting process is a perfunctory exercise, as primary election
    Primary election

    A primary election , also referred to simply as a primary, is an election in which voters in a jurisdiction select candidates for a subsequent election....
    s encourage the emergence of a clear front-runner long before the conventions.


Other runoff
Runoff voting

Runoff voting can refer to:* Two-round system, a voting system used to elect a single winner, whereby only two candidates from the first round continue to the second round...
 systems


The two round system


As noted above the exhaustive ballot is similar to the two round system. However under the two round system if no candidate achieves an absolute majority in the first round then, rather than just a single candidate being eliminated, all candidates are immediately excluded except the two with the most votes. There is then a second and final round. Because, at most, it requires voters to return to the polls only once, the two-round system is considered more practical for large public elections than the exhaustive ballot, and is used in many countries for the election of presidents and legislative bodies. However the two systems often produce different winners. This is because, under the two-round system, a candidate may be eliminated in the first round who would have gone on to win the contest if they had been permitted to survive to the second round. In Example I above the winner would not have changed if the two rounds system had been used instead of the exhaustive ballot. However in Example II the two round system would have elected Nashville instead of Knoxville.

Primary two round system


A nonpartisan primary election
Primary election

A primary election , also referred to simply as a primary, is an election in which voters in a jurisdiction select candidates for a subsequent election....
 system is a variation of the two round system which holds a pre-election, and allows the top two candidates to pass to the generation election. It differs from the two round system because the first election isn't allowed to pick a winner.

Instant-runoff voting


In some respects the exhaustive ballot closely resembles 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....
 (also known as the 'Alternative Vote'). Under both systems if no candidate has an absolute majority in the first round then there are further rounds, with the candidate with the fewest votes being eliminated after each round. However while under the exhaustive ballot each round involves voters returning to cast a new vote, under instant-runoff (IRV) 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 exhaustive ballot involves 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. Furthermore, because it is necessary to vote only once, IRV has been used for large-scale elections in many places.

Tactical voting


Like instant-runoff voting, the exhaustive ballot is intended to improve upon the simpler '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 by reducing the potential for 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....
 by avoiding 'wasted' votes. Under the plurality system, which involves only one round, 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 the exhaustive ballot this tactic, known as 'compromising', is sometimes unnecessary because, even if the voter's first choice is unlikely to be elected, she will still have the opportunity to influence the outcome of the election by voting for more popular candidates once her favourite has been eliminated. However the exhaustive ballot is still vulnerable to tactical voting under some circumstance. Because of the similarity between the two systems it is open to the same forms of tactical voting as IRV.

Although the exhaustive ballot is designed to avoid 'compromising' the tactic is still effective in some elections. Compromising is where a voter votes for a certain candidate, not because they necessarily support them, but as a way of avoiding the election of a candidate whom they dislike even more. The compromising tactic is sometimes effective because the exhaustive ballot eliminates candidates who are unpopular in early rounds, who might have had sufficient support to win the election had they survived a little longer. This can create strong incentives for voters to vote tactically.

Like IRV, the exhaustive ballot is also vulnerable to the tactic of 'push over'. 'Push over' is a tactic by which voters vote tactically for an unpopular 'push over' candidate in one round as a way of helping their true favourite candidate win in a later round. The purpose of voting for the 'push over' is to ensure that it is this weak candidate, rather than a stronger rival, who remains to challenge a voter's preferred candidate in later rounds. By supporting a 'push over' candidate it is hoped to eliminate a stronger candidate who might have gone on to win the election. The 'push over' tactic requires voters to be able to reliably predict how others will vote. It runs the risk of backfiring, because if the tactical voter miscalculates then the candidate intended as a 'push over' might end up actually beating the voter's preferred candidate.

Examples


Compromise

In Example I above, if Ice Cream supporters had voted tactically for Apple Pie in the first round then Apple Pie (their second choice) would have been elected instead of Fruit (their last choice). In Example II Knoxville wins, the last choice of both Nashville and Memphis supporters. If Memphis supporters had 'compromised' by voting for Nashville (their second choice) in the first round then Nashville would have been elected immediately, while if Nashville supporters had all 'compromised' by voting for their second choice of Chattanooga in the first round, then Chattanooga would have gone on to be elected in the second round

Push over

Imagine an election, like the one at the start of this article, in which there are 100 voters who vote as follows:

  • Ice Cream: 25 votes
  • Apple Pie: 30 votes
  • Fruit: 45 votes


No candidate has an absolute majority of votes so Ice Cream is eliminated in the first round. Ice Cream supporters prefer Apple Pie to Fruit so in the second round they vote for Apple Pie and Apple Pie is the winner. However, if only six Fruit supporters had used the tactic of 'push over' then they could have changed this outcome and ensured the election of Fruit. These six voters can do this by voting for Ice Cream in the first round as a 'push over'. If they do this then the votes cast in the first round will look like this:

  • Ice Cream: 31
  • Apple Pie: 30
  • Fruit: 39


This time Apple Pie is eliminated in the first round and Ice Cream and Fruit survive to the second round. This outcome is deliberate. The tactical voters know that Ice Cream will be an easier candidate for Fruit to beat in the second round than Apple Pie–in other words, that Ice Cream will be a 'push-over'. In the second round the tactical voters vote for their real first preference, Fruit. Therefore even if only 6 Apple Pie supporters prefer Fruit to Ice Cream, the result of the second round will be:

  • Ice Cream: 49
  • Fruit: 51


Fruit will therefore be elected. The success of this tactic relies on the Fruit supporters being able to predict that Ice Cream can be beaten by Fruit in the second round. If a large majority of Apple Pie supporters had voted for Ice Cream then the 'push over' tactic would have backfired, leading to the election of Ice Cream, which Fruit partisans like even less than Apple Pie.

Strategic nomination


The exhaustive ballot can also 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. The exhaustive ballot 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 bring about the election of a more desirable compromise candidate by withdrawing from the race, or by never standing in the first place. By the same token a candidate can bring about a less desirable result by unwisely choosing to stand in an election; this is because of 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....
, by which a new candidate can 'split the vote' and cost another similar candidate the election.

The exhaustive vote's system of multiple rounds makes it less vulnerable to the spoiler effect than the plurality system or the two round system. This is because a potential spoiler candidate often has only minor support; therefore he will be eliminated early and his supporters will have the opportunity to influence the result of the election by voting for more popular candidates in later rounds. Voters can also counteract the effect of vote splitting by using the 'compromise' tactic.

The exhaustive vote is essentially vulnerable to the same forms of strategic nomination as instant-runoff voting, the difference being that under the exhaustive vote candidates can use the results of early rounds to inform whether or not they should strategically withdraw in later rounds. This is impossible under IRV. In IRV the electorate votes only once, so candidates must make the judgement of whether or not to participate in an election before the poll, and before even one round of counting has occurred.

Effect on candidates and factions


The exhaustive ballot encourages candidates to appeal to a broad cross-section of voters. This is because, in order to eventually receive 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 votes, it is necessary for a candidate to win the support of voters whose favourite candidate has been eliminated. Under the exhaustive ballot eliminated candidates, and the factions who previously supported them, often issue recommendations to their supporters as to who they should vote for the remaining rounds of the contest. This means that eliminated candidates are still able to influence the result of the election.

External links