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Encyclopedia > Favorite Betrayal criterion

In social choice theory, the favorite betrayal criterion (or "FBC") is a voting system criterion devised by Mike Ossipoff for evaluating voting systems. Social choice theory studies how individual preferences are aggregated to form a collective choice, such as, for example in voting systems. ... A formally defined pass/fail criterion by which a voting system may be assessed. ... Voters at the voting booths in the US in 1945 Voting systems are methods (algorithms) for groups of people to select one or more options from many, taking into account the individual preferences of the group members. ...

Contents

Definition

A voter optimizes the outcome (from his own perspective) if his vote causes the election of the best possible candidate that can be elected, based on his own preferences, given all the votes cast by other voters.


Statement of the criterion

For any voter who has a unique favorite, there should be no possible set of votes cast by the other voters such that the voter can optimize the outcome (from his own perspective) only by voting someone over his favorite.


Complying methods

Approval voting, Majority-choice approval, and range voting comply with the favorite betrayal criterion, while Borda count, plurality voting, instant-runoff voting, and the Schulze method do not comply. Approval voting is a voting system used for elections, in which each voter can vote for as many or as few candidates as the voter chooses. ... Majority-choice approval (MCA) is a voting system in which the voter has three possible choices for marking each candidate: as ‘favored’, as an ‘accepted’ compromise, or as ‘disapproved’. An ‘affirmative’ mark (either ‘favored’ or ‘accepted’), signifies ‘approved’. In majority-choice approval, if at least one candidate is marked ‘favored... Range voting, or average voting, or cardinal ratings is a voting system used for single or multiple-seat elections. ... The Borda count is a voting system used for single-winner elections in which each voter rank-orders the candidates. ... The first-past-the-post electoral system is a voting system for single-member districts, variously called first-past-the-post (FPTP or FPP), winner-take-all, plurality voting, or relative majority. ... When the single transferable vote voting system is applied to a single-winner election it is sometimes called instant-runoff voting (IRV), as it is much like holding a series of runoff elections in which the lowest polling candidate is eliminated in each round until someone receives majority vote. ... The Schulze method is a voting system developed in 1997 by Markus Schulze that selects a single winner using votes that express preferences. ...


Commentary

Election methods that meet this criterion provide no incentive for voters to betray their favorite candidate by voting another candidate over him or her.


Some parts of this article are derived with permission from text at http://electionmethods.org


See also

Voters at the voting booths in the US in 1945 Voting systems are methods (algorithms) for groups of people to select one or more options from many, taking into account the individual preferences of the group members. ... A voting system is monotonic if it satisfies the following so-called monotonicity criterion given below. ... The Condorcet candidate or Condorcet winner of an election is the candidate who, when compared in turn with each of the other candidates, is preferred over the other candidate. ... The Generalized Condorcet criterion or Smith criterion for a voting system is that it picks the winner from the Smith set, the smallest set of candidates such that every member of the set is preferred to every candidate not in the set. ... The strategy-free criterion is a voting system criterion devised by Mike Ossipoff for evaluating voting systems. ... Definitions A sincere vote is one with no falsified preferences or preferences left unspecified when the election method allows them to be specified (in addition to the preferences already specified). ... The introduction of this article does not provide enough context for readers unfamiliar with the subject. ... The weak defensive strategy criterion is a voting system criterion devised by Mike Ossipoff. ... Statement of Criterion Adding one or more ballots that vote X over Y should never change the winner from X to Y. Complying Methods Plurality voting, Approval voting, Cardinal Ratings, Borda count, and Woodalls DAC method all pass the Participation Criterion. ... The summability criterion is a voting system criterion, used to objectively compare voting systems. ...

External links

  • Election Methods Education and Research Group (http://electionmethods.org/)

  Results from FactBites:
 
Improved Condorcet Approval - Electowiki (779 words)
Improved Condorcet Approval or ICA or tCA is a variant of Condorcet//Approval devised by Kevin Venzke which preserves approval voting's compliance with the favorite betrayal criterion.
ICA satisfies the favorite betrayal criterion by treating voters ranking x and y equally at the top as attempting to create a pairwise tie between the two candidates.
This creates problems with the favorite betrayal criterion (or the Sincere Favorite criterion) since it could happen that the 35 A=B voters are preventing either A or B from being the decisive winner, and that in trying to support both equally, the win is instead moved to the approval winner, who might be someone worse.
  More results at FactBites »


 
 

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