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A single-member district or single-member constituency is an electoral district that returns one officeholder to a body with multiple members such as a legislature. This is also sometimes called single-winner voting.
Elections for single-member districts are held under a number of voting systems, including plurality (first past the post), runoffs, instant-runoff voting (IRV), approval voting, range voting, Borda count, and Condorcet methods (such as the Minimax Condorcet, Schulze method, and Ranked Pairs). Of these, plurality and runoff voting are the most common.
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A small constituency with a single member, as opposed to a large, multiple-member one, encourages a stronger connection between representative and constituent and increases accountability. In multi-member district countries such as Israel, where the whole country is treated as a single constituency and representatives are selected by party-lists, the constituency link is lost altogether.
It is often claimed that because each electoral district votes for its own representative, the elected candidate is held accountable to their own voters, thereby helping to prevent incompetent, fraudulent or corrupt behavior by elected candidates. The voters in the electoral district can easily replace him since they have full power over who they want to represent them.
On the other hand, in a constituency system, a candidate who is popular nationally may be removed if he is unpopular in his own district. This feature however is also present in open-list proportional systems.
Sometimes voters are in favour of a political party but do not like specific candidates. For example, voters in Canada re-elected the Alberta government in 1989 but, because of dissatisfaction with its leadership, the premier and leader of the governing party, Don Getty, lost his seat.
Single-member districts tend to promote two-party systems (with some regional parties). Supporters view this as beneficial, as parliamentary governments are typically more stable in two-party systems, and thus small minorities are not given undue power to break a coalition. First-past-the-post minimizes the influence of third parties and thus arguably keeps out extremists.
A safe seat is one in which a plurality or majority of voters, depending on the voting system, support a particular candidate or party so strongly that the candidate's election is practically guaranteed in advance of the vote. This means all other voters in the constituency make no difference to the result. This results in feelings of disenfranchisement and to abstentionism among voters.
Monotonic | Condorcet | Condorcet loser | Majority | Majority loser | Mutual majority | Smith | ISDA | Clone independence | Reversal symmetry | Polynomial time | Participation, Consistency | Later no harm | |
Schulze | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No |
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Ranked pairs | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | No |
Kemeny-Young | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | No | Yes | No | No | No |
Nanson | No | Yes | Yes | Yes | Yes | Yes | Yes | No | No | Yes | Yes | No | No |
Baldwin | No | Yes | Yes | Yes | Yes | Yes | Yes | No | No | No | Yes | No | No |
AV/IRV | No | No | Yes | Yes | Yes | Yes | No | No | Yes | No | Yes | No | Yes |
Borda | Yes | No | Yes | No | Yes | No | No | No | No | Yes | Yes | Yes | No |
Bucklin | Yes | No | No | Yes | Yes | Yes | No | No | No | No | Yes | No | No |
Coombs | No | No | Yes | Yes | Yes | Yes | No | No | No | No | Yes | No | ?[1] |
MiniMax | Yes | Yes | No | Yes | No | No | No | No | No | No | Yes | No | No |
Plurality | Yes | No | No | Yes | No | No | No | No | No | No | Yes | Yes | Yes |
Anti-plurality | Yes | No | No | No | Yes | No | No | No | No | No | Yes | Yes | ?[1] |
Contingent voting | No | No | Yes | Yes | Yes | No | No | No | No | No | Yes | No | Yes |
Sri Lankan contingent voting | No | No | No | Yes | No | No | No | No | No | No | Yes | No | Yes |
Supplementary voting | No | No | No | Yes | No | No | No | No | No | No | Yes | No | Yes |