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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.
The Condorcet winner criterion extends the principle of majority rule to elections with multiple candidates. [ 1 ] [ 2 ] The Condorcet winner is also called a majority winner , a majority-preferred candidate , [ 3 ] [ 4 ] [ 5 ] a beats-all winner , or tournament winner (by analogy with round-robin tournaments ).
A voting system complying with the Condorcet loser criterion will never allow a Condorcet loser to win. A Condorcet loser is a candidate who can be defeated in a head-to-head competition against each other candidate. [11] (Not all elections will have a Condorcet loser since it is possible for three or more candidates to be mutually defeatable ...
A voting method is the procedure at the heart of an election that specifies what information is to be gathered from voters, and how that collected information is to be utilized to determine the ...
Voting methods can be evaluated by measuring their accuracy under random simulated elections aiming to be faithful to the properties of elections in real life. The first such evaluation was conducted by Chamberlin and Cohen in 1978, who measured the frequency with which certain non-Condorcet systems elected Condorcet winners.
However, Arrow's theorem is substantially broader, and can be applied to methods of social decision-making other than voting. It therefore generalizes Condorcet's voting paradox, and shows similar problems exist for every collective decision-making procedure based on relative comparisons. [1]
Instant-runoff voting (IRV; US: ranked-choice voting (RCV), AU: preferential voting, UK/NZ: alternative vote) is a single-winner, multi-round elimination rule that uses ranked voting to simulate a series of runoff elections. In each round, the candidate with the fewest first-preferences (among the remaining candidates) is eliminated. This ...
In social choice theory, Condorcet's voting paradox is a fundamental discovery by the Marquis de Condorcet that majority rule is inherently self-contradictory.The result implies that it is logically impossible for any voting system to guarantee that a winner will have support from a majority of voters: for example there can be rock-paper-scissors scenario where a majority of voters will prefer ...