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Example Condorcet method voting ballot. Blank votes are equivalent to ranking that candidate last. A Condorcet method (English: / k ɒ n d ɔːr ˈ s eɪ /; French: [kɔ̃dɔʁsɛ]) is an election method that elects the candidate who wins a majority of the vote in every head-to-head election against each of the other candidates, whenever there is such a candidate.
Systems that guarantee the election of a Condorcet winners (when one exists) include Ranked Pairs, Schulze's method, and the Tideman alternative method. Methods that do not guarantee that the Cordorcet winner will be elected, even when one does exist, include instant-runoff voting (often called ranked-choice in the United States ), First-past ...
Score voting is a system in which the voter gives all candidates a score on a predetermined scale (e.g. from 0 to 5). The winner of the election is the candidate with the highest total score. Score voting fails the Condorcet criterion. For example:
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 ...
They looked at Condorcet cycles in voter preferences (an example of which is A being preferred to B by a majority of voters, B to C and C to A) and found that the number of them was consistent with small-sample effects, concluding that "voting cycles will occur very rarely, if at all, in elections with many voters."
In voting systems, the Minimax Condorcet method is a single-winner ranked-choice voting method that always elects the majority (Condorcet) winner. [1] Minimax compares all candidates against each other in a round-robin tournament , then ranks candidates by their worst election result (the result where they would receive the fewest votes).
Grading-consistency: if two different districts assign a candidate the same overall grade to a candidate, the overall grade for the candidate must still be the same. A voting system is winner-consistent if and only if it is a point-summing method; in other words, it must be a positional voting system or score voting (including approval voting ...
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.