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Preferential voting

 
Preferential Voting

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Preferential voting



 
 
Preferential voting (or preference voting) is a type of ballot
Ballot

A ballot is a device used to record choices made by voters. Each voter uses one ballot, and ballots are not shared. In the simplest elections, a ballot may be a simple scrap of paper on which each voter writes in the name of a candidate, but governmental elections use pre-printed to protect the secret ballot....
 structure used in several electoral systems in which voters rank a list or group of candidates in order of preference. For example, the voter may write a '1' beside their first choice, a '2' beside their second preference, and so on. This contrasts with ballots used by methods which do not allow more than two-valued ranking of candidates (Yes or No, often with No assumed unless Yes is marked), such as Plurality voting or Approval voting
Approval voting

Approval voting is a Voting_system#Single-winner methods used for elections. Each voter may vote for as many of the candidates as they wish....
.

Preferential ballots are used in Instant runoff voting, 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, Borda count
Borda count

The Borda count is a single-winner voting system in which voters rank candidates in order of preference. The Borda count determines the winner of an election by giving each candidate a certain number of points corresponding to the position in which he or she is ranked by each voter....
, Bucklin voting
Bucklin voting

Bucklin voting is the name of a voting system that can be used for single-member and multi-member Constituency. It is named after its original promoter, James W....
 among many others for single-winner elections, as well as single transferable vote
Single transferable vote

The Single transferable vote is a voting system of preferential voting designed to minimize wasted votes and provide proportional representation while ensuring that votes are explicitly expressed for individual candidates rather than for party lists....
 for multiple winner elections.

Uniqueness of votes If there are large number of candidates, more common in STV
Single transferable vote

The Single transferable vote is a voting system of preferential voting designed to minimize wasted votes and provide proportional representation while ensuring that votes are explicitly expressed for individual candidates rather than for party lists....
 elections, then it becomes more likely that many preference voting patterns will be unique to individual voters.






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Encyclopedia


Preferential voting (or preference voting) is a type of ballot
Ballot

A ballot is a device used to record choices made by voters. Each voter uses one ballot, and ballots are not shared. In the simplest elections, a ballot may be a simple scrap of paper on which each voter writes in the name of a candidate, but governmental elections use pre-printed to protect the secret ballot....
 structure used in several electoral systems in which voters rank a list or group of candidates in order of preference. For example, the voter may write a '1' beside their first choice, a '2' beside their second preference, and so on. This contrasts with ballots used by methods which do not allow more than two-valued ranking of candidates (Yes or No, often with No assumed unless Yes is marked), such as Plurality voting or Approval voting
Approval voting

Approval voting is a Voting_system#Single-winner methods used for elections. Each voter may vote for as many of the candidates as they wish....
.

Preferential ballots are used in Instant runoff voting, 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, Borda count
Borda count

The Borda count is a single-winner voting system in which voters rank candidates in order of preference. The Borda count determines the winner of an election by giving each candidate a certain number of points corresponding to the position in which he or she is ranked by each voter....
, Bucklin voting
Bucklin voting

Bucklin voting is the name of a voting system that can be used for single-member and multi-member Constituency. It is named after its original promoter, James W....
 among many others for single-winner elections, as well as single transferable vote
Single transferable vote

The Single transferable vote is a voting system of preferential voting designed to minimize wasted votes and provide proportional representation while ensuring that votes are explicitly expressed for individual candidates rather than for party lists....
 for multiple winner elections.

Ballot variations


There are a number of different but equivalent ways to design a ballot that allows voter to specify a set of rank preferences.

Preferential Ballot
Rankballotoval
Rankballotname2
Rankballottouch


  • Written numbers: The voter writes a '1' beside their first choice, a '2' beside their second choice, and so on. This is the most common ballot design. Hand-written numeric rankings are compact and easy to hand count.
  • Column marks: The voter places marks in columns to indicate his order of preferences. These ballots can be easily counted by optical scanners. However considerations of space may limit the number of preferences a voter can express. For example in the image above the voter is limited to three preferences.
  • Written names: The numbers are written on the ballot paper and the voter must write the names of candidates beside them.
  • Touch screen: When voting is done by computer a touch screen can be used. In the example above voters are asked for their first, second and subsequent preferences. The selections so far are displayed as well as remaining unranked candidates, allowing selections to be removed if the voter makes a mistake or changes his mind during voting.


Some ballot designs (such as the optical scanner versions) may have insufficient rankings to allow preferences between all candidates.

Some election rules may require voters rank all candidates to be a valid vote.

Most election rules disallow the use of tied-rankings.

Uniqueness of votes

If there are large number of candidates, more common in STV
Single transferable vote

The Single transferable vote is a voting system of preferential voting designed to minimize wasted votes and provide proportional representation while ensuring that votes are explicitly expressed for individual candidates rather than for party lists....
 elections, then it becomes more likely that many preference voting patterns will be unique to individual voters. For example, in the Irish general election, 2002
Irish general election, 2002

The Irish general election of 2002 was held on Friday 17 May 2002 just over three weeks after the Dissolution of parliament of the Members of the 28th D?il on Thursday 25 April by President of Ireland Mary McAleese, at the request of the Taoiseach, Bertie Ahern....
, the electronic votes were published for the Dublin North constituency. There were 12 candidates and almost 44,000 votes cast. The most common pattern (for the three candidates from one party in a particular order) was chosen by 800 voters, and more than 16,000 patterns were chosen by just one voter each.

The number of possible complete rankings
Total order

In mathematics and set theory, a total order, linear order, simple order, or ordering is a binary relation on some Set X....
 with no ties is the factorial
Factorial

In mathematics, the factorial of a negative and non-negative numbers integer n, denoted by n!, is the Product of all positive integers less than or equal to n....
 of the number of candidates, but with ties it's equal to the corresponding ordered Bell number and is asymptotic
Asymptotic analysis

In pure mathematics and applied mathematics, particularly the analysis of algorithms, real analysis, and engineering, asymptotic analysis is a method of describing Limit ing behaviour....
 to .

Australia


Australia uses preferential ballots in two different ways: 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....
 and the single transferable vote
Single transferable vote

The Single transferable vote is a voting system of preferential voting designed to minimize wasted votes and provide proportional representation while ensuring that votes are explicitly expressed for individual candidates rather than for party lists....
 system, although neither of these names are commonly used in Australia.

Instant-runoff voting is used in electing candidates to single-member electorates such as the Australian Federal House of Representatives
Australian House of Representatives

The House of Representatives is one of the two houses of the Parliament of Australia; it is the lower house, the upper house being the Australian Senate....
, state legislative assemblies and local government municipalities.

Single Transferable Vote systems are used in electing candidates to multi-member electorates such as the Australian Senate
Australian Senate

The Senate is the upper house of the two houses of the Parliament of Australia. The lower house is known as the Australian House of Representatives....
, State upper houses, Tasmania's State legislative assembly, the Australian Capital Territory
Australian Capital Territory

The Australian Capital Territory is the Capital districts and territories of the Australia and its smallest States and territories of Australia....
's legislative assembly, and some local government municipalities.

Ballot papers are counted according to prescribed set of rules which prescribe the method used in the counting of the ballots and the distribution of preferences. Voters' preferences are now data-entered into computer systems, which then process the recorded votes to determine the results of the election. Copies of the transcribed date file used in the counting of the elections are published and made available for public inspection and scrutiny.

Supporters of the parties and individual candidates hand out "How to Vote" cards (HTVs) at the entrance to polling stations or distributed with election material sent in the post, advising voters how to fill in their ballots to support that party or candidate. The information published on a how to vote card is a recommendation only and no voter is obliged to vote as published, but up to 80% of voters follow the recommendations of their preferred party or candidate. The proportion of voters that choose not to follow their preferred candidate's recommendations is called the "preference leakage".

The STV systems of some jurisdictions in Australia (e.g. the Senate) allow group voting ticket
Group voting ticket

Group voting tickets are a way to simplify preferential voting, for example in a Single Transferable Vote election.Voters can choose to vote for a ticket by placing the number '1' in one of the ticket boxes or can vote for individual candidates by numbering all the boxes in that section....
s or "above the line voting" where a voter can with a single mark indicate support for a predefined set of preferences. This reduces the burden on voters, especially where there are large numbers of candidates and when a complete preference list is required to make a vote valid, so about 95% of voters use this option. Voters not wishing to use the "above-the-line-voting" option maintain the entitlement to indicate preferences for individual candidates; this is referred to as below-the-line voting. The allocation of predefined and individual voter preferences are important in determining the results of the election.

List of systems using preferential ballots

  • Alternative vote top-up
    Alternative Vote Top-up

    The Alternative Vote Top-up, or Alternative Vote Plus , is a voting system intended for use in elections to an Deliberative assembly or legislature....
  • Borda count
    Borda count

    The Borda count is a single-winner voting system in which voters rank candidates in order of preference. The Borda count determines the winner of an election by giving each candidate a certain number of points corresponding to the position in which he or she is ranked by each voter....
  • Bucklin voting
    Bucklin voting

    Bucklin voting is the name of a voting system that can be used for single-member and multi-member Constituency. It is named after its original promoter, James W....
  • 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
    • Ranked Pairs
      Ranked Pairs

      Ranked Pairs or Tideman is a voting method that selects a single winner using votes that express preferential voting. RP can also be used to create a sorted list of winners....
    • Schulze method
      Schulze method

      The Schulze method is a voting system developed in 1997 by Markus Schulze that selects a single-winner voting systems using votes that express preferential voting....
    • Nanson's method
      Nanson's method

      The Borda count can be combined with an Instant runoff voting procedure to create hybrid election methods that are called Nanson method and Baldwin method....
    • Kemeny-Young method
      Kemeny-Young method

      The Kemeny-Young method is a voting system that uses preferential ballots, pairwise comparison counts, and Kemeny-Young method#Description to identify the most popular choice, and also identify the second-most popular choice, the third-most popular choice, and so on down to the least-popular choice....
  • Coombs' method
    Coombs' method

    The Coombs' method, also called the Coombs rule is a voting system created by Clyde Coombs used for single-winner elections preferential voting....
  • Single Transferable Vote
    Single transferable vote

    The Single transferable vote is a voting system of preferential voting designed to minimize wasted votes and provide proportional representation while ensuring that votes are explicitly expressed for individual candidates rather than for party lists....
    • 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....
       - single winner STV
      • 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....
         - two round IRV
        • Sri Lankan contingent vote - two round, three rank IRV
        • Supplementary Vote - two round, two rank IRV


External links and further reading


  • FairVote
    FairVote

    FairVote is a non-profit organization based in Takoma Park, Maryland, whose mission is to achieve universal access to participation, a full spectrum of meaningful ballot choices and majority rule with fair representation for all....
     www.fairvote.org has popularly written arguments for the preferential ballot and other electoral reform.
  • Works of Richard S. Katz, Arend Lijphart
    Arend Lijphart

    Arend d'Angremond Lijphart is a world renowned political scientist specializing in comparative politics, elections and voting systems, Democracys, and ethnicity and politics....
    , Lauri Karvonen.
  • from
  • from the
  • Ranked Choice Voting in San Francisco
  • Australianpolitics.com