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If voters are arranged on a sole 1-dimensional axis, such as the left-right political spectrum for a common example, and always prefer candidates who are more similar to themselves, a majority-rule winner always exists and is the candidate whose ideology is most representative of the electorate, a result known as the median voter theorem. [7]
Condorcet winner [Tn 1] Condorcet loser Smith [Tn 1] Smith-IIA [Tn 1] IIA/LIIA [Tn 1] Cloneproof Monotone Participation Later-no-harm [Tn 1] Later-no-help [Tn 1] No favorite betrayal [Tn 1] Ballot type First-past-the-post voting: Yes No No No No No No No No Yes Yes Yes Yes No Single mark Anti-plurality: No Yes No No No No No No No Yes Yes ...
An electoral system (or voting system) is a set of rules that determine how elections and referendums are conducted and how their results are determined.. Some electoral systems elect a single winner (single candidate or option), while others elect multiple winners, such as members of parliament or boards of directors.
Candidate B would win with a total of 80 × 9 + 20 × 10 = 720 + 200 = 920 rating points, versus 800 for candidate A. Because candidate A is rated higher than candidate B by a (substantial) majority of the voters, but B is declared winner, this voting system fails to satisfy the criterion due to using additional information about the voters ...
The classic example of a positional voting electoral system is the Borda count. [1] Typically, for a single-winner election with N candidates, a first preference is worth N points, a second preference N – 1 points, a third preference N – 2 points and so on until the last (N th) preference that is worth just 1 point. So, for example, the ...
Candidate B would win with a total of 80 × 9 + 20 × 10 = 720 + 200 = 920 rating points, versus 800 for candidate A. Because candidate A is rated higher than candidate B by a (substantial) majority of the voters, but B is declared winner, this voting system fails to satisfy the criterion due to using additional information about the voters ...
] Alternative-Smith voting, is a voting rule developed by Nicolaus Tideman which selects a single winner using ranked ballots. This method is Smith -efficient, making it a kind of Condorcet method , and uses the alternative vote ( RCV ) to resolve any cyclic ties .
Let L be a subset of candidates. A solid coalition in support of L is a group of voters who strictly prefer all members of L to all candidates outside of L. In other words, each member of the solid coalition ranks their least-favorite member of L higher than their favorite member outside L. Note that the members of the solid coalition may rank the members of L differently.