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First-past-the-post voting

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First-past-the-post voting

First-past-the-post (FPTP)—also called choose-one, first-preference plurality (FPP), or simply plurality—is a single-winner voting rule. Voters mark one candidate as their favorite, or first-preference, and the candidate with more first-preference votes than any other candidate (a plurality) is elected, even if they do not have more than half of votes (a majority). FPP has been used to elect part of the British House of Commons since the Middle Ages before spreading throughout the British Empire. Throughout the 20th century, many countries that previously used FPP have abandoned it in favor of other electoral systems, including the former British colonies of Australia and New Zealand. FPP is still officially used in the majority of US states for most elections. However, the combination of partisan primaries and a two-party system in these jurisdictions means that most American elections behave effectively like two-round systems, in which the first round chooses two main contenders (of which one of them goes on to receive a majority of votes).

Tables

· Example
Memphis Nashville Chattanooga Knoxville
Memphis Nashville Chattanooga Knoxville
42% of voters
Memphis Nashville Chattanooga Knoxville
26% of voters
Nashville Chattanooga Knoxville Memphis
15% of voters
Chattanooga Knoxville Nashville Memphis
17% of voters
Knoxville Chattanooga Nashville Memphis
42% of voters
26% of voters
15% of voters
17% of voters
Memphis Nashville Chattanooga Knoxville
Nashville Chattanooga Knoxville Memphis
Chattanooga Knoxville Nashville Memphis
Knoxville Chattanooga Nashville Memphis
Table of pathological behaviors · Properties and effects
N
N
Col 1
N
Pathology
Frustrated majority
Explanation/details
The frustrated majority paradox occurs when a majority of voters prefer some candidate Brighton to every other candidate, but Brighton still loses the election. First-past-the-post is vulnerable to this paradox because of vote-splitting.
N
N
Col 1
N
Pathology
Condorcet loser paradox
Explanation/details
The Condorcet loser paradox happens when a majority of voters prefer every other candidate to Brighton, but Brighton still wins. First-past-the-post is vulnerable to this paradox because of vote-splitting.
N
N
Col 1
N
Pathology
Center squeeze
Explanation/details
The center squeeze describes a type of violation of Independence of irrelevant alternatives primarily affecting voting rules in the Plurality-rule family where the Condorcet winner is eliminated in an early round or otherwise due to a lack of first-preference support.
N
N
Col 1
N
Pathology
Spoiler effect
Explanation/details
A spoiler effect is when the results of an election between A and B is affected by voters' opinions on an unrelated candidate C. First-past-the-post does not meet this criterion, which makes it vulnerable to spoilers.
N
N
Col 1
N
Pathology
Cloning paradox
Explanation/details
The cloning paradox is a particular kind of spoiler effect that involves several perfect copies, or "clones", of a candidate. Candidate-cloning causes vote-splitting in FPP.
N
N
Col 1
N
Pathology
Best-is-worst paradox
Explanation/details
The best-is-worst paradox occurs when an electoral system declares the same candidate to be in first and last place, depending on whether voters rank candidates from best-to-worst or worst-to-best. FPP demonstrates this pathology, because a candidate can be both the FPP winner and also the anti-plurality loser.
N
N
Col 1
N
Pathology
Lesser-evil voting
Explanation/details
Lesser-evil voting occurs when voters are forced to support a "lesser of two evils" by rating them higher than their actual favorite candidate. FPP is vulnerable to this pathology.
Y
Y
Col 1
Y
Pathology
Later-no-harm
Explanation/details
Since plurality does not consider later preferences on the ballot at all, it is impossible to either harm or help a favorite candidate by marking later preferences. Thus it passes both Later-No-Harm and Later-No-Help.
Y
Y
Col 1
Y
Pathology
Later-no-help
Y
Y
Col 1
Y
Pathology
Multiple-districts paradox
Explanation/details
The multiple-districts paradox refers to a particularly egregious kind of gerrymander, when it is possible to draw a map where a candidate who loses the election nevertheless manages to win in every electoral district. This is not possible under FPP, or other positional voting methods.
Y
Y
Col 1
Y
Pathology
Perverse response
Explanation/details
Perverse response occurs when a candidate loses as a result of receiving too much support from some voters, i.e. it is possible for a candidate to lose by receiving too many votes. FPP is not affected by this pathology.
Y
Y
Col 1
Y
Pathology
No-show paradox
Explanation/details
The no-show paradox is a situation where a candidate loses as a result of having too many supporters. In other words, adding a voter who supports A over B can cause A to lose to B. FPP is not affected by this pathology.
Pathology
Explanation/details
N
Frustrated majority
The frustrated majority paradox occurs when a majority of voters prefer some candidate Brighton to every other candidate, but Brighton still loses the election. First-past-the-post is vulnerable to this paradox because of vote-splitting.
N
Condorcet loser paradox
The Condorcet loser paradox happens when a majority of voters prefer every other candidate to Brighton, but Brighton still wins. First-past-the-post is vulnerable to this paradox because of vote-splitting.
N
Center squeeze
The center squeeze describes a type of violation of Independence of irrelevant alternatives primarily affecting voting rules in the Plurality-rule family where the Condorcet winner is eliminated in an early round or otherwise due to a lack of first-preference support.
N
Spoiler effect
A spoiler effect is when the results of an election between A and B is affected by voters' opinions on an unrelated candidate C. First-past-the-post does not meet this criterion, which makes it vulnerable to spoilers.
N
Cloning paradox
The cloning paradox is a particular kind of spoiler effect that involves several perfect copies, or "clones", of a candidate. Candidate-cloning causes vote-splitting in FPP.
N
Best-is-worst paradox
The best-is-worst paradox occurs when an electoral system declares the same candidate to be in first and last place, depending on whether voters rank candidates from best-to-worst or worst-to-best. FPP demonstrates this pathology, because a candidate can be both the FPP winner and also the anti-plurality loser.
N
Lesser-evil voting
Lesser-evil voting occurs when voters are forced to support a "lesser of two evils" by rating them higher than their actual favorite candidate. FPP is vulnerable to this pathology.
Y
Later-no-harm
Since plurality does not consider later preferences on the ballot at all, it is impossible to either harm or help a favorite candidate by marking later preferences. Thus it passes both Later-No-Harm and Later-No-Help.
Y
Later-no-help
Y
Multiple-districts paradox
The multiple-districts paradox refers to a particularly egregious kind of gerrymander, when it is possible to draw a map where a candidate who loses the election nevertheless manages to win in every electoral district. This is not possible under FPP, or other positional voting methods.
Y
Perverse response
Perverse response occurs when a candidate loses as a result of receiving too much support from some voters, i.e. it is possible for a candidate to lose by receiving too many votes. FPP is not affected by this pathology.
Y
No-show paradox
The no-show paradox is a situation where a candidate loses as a result of having too many supporters. In other words, adding a voter who supports A over B can cause A to lose to B. FPP is not affected by this pathology.

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