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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.
A Condorcet winner may not necessarily always exist in a given electorate: it is possible to have a rock, paper, scissors-style cycle, when multiple candidates defeat each other (Rock < Paper < Scissors < Rock). This is called Condorcet's voting paradox, [6] and is analogous to the counterintuitive intransitive dice phenomenon known in ...
Approval voting is a system in which the voter can approve of (or vote for) any number of candidates on a ballot. Approval voting fails the Condorcet criterion Consider an election in which 70% of the voters prefer candidate A to candidate B to candidate C, while 30% of the voters prefer C to B to A.
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."
Note that instant-runoff voting (indeed, all the ranked-choice methods), approval voting, STAR voting, Condorcet (and substantially all other advocated methods) have this same problem: They do not ...
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 ...
The majority favorite criterion is a voting system criterion that says that, if a candidate would win more than half the vote in a first-preference plurality election, that candidate should win. Equivalently, if only one candidate is ranked first by a over 50% of voters, that candidate must win.
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).