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  2. Condorcet method - Wikipedia

    en.wikipedia.org/wiki/Condorcet_method

    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.

  3. Condorcet winner criterion - Wikipedia

    en.wikipedia.org/wiki/Condorcet_winner_criterion

    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 ...

  4. Voting criteria - Wikipedia

    en.wikipedia.org/wiki/Voting_criteria

    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 ...

  5. The End of the Voting Methods Debate - AOL

    www.aol.com/news/end-voting-methods-debate...

    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 ...

  6. Condorcet paradox - Wikipedia

    en.wikipedia.org/wiki/Condorcet_paradox

    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 ...

  7. Ranked voting - Wikipedia

    en.wikipedia.org/wiki/Ranked_voting

    A voting system that always elects this candidate is called a Condorcet method; however, it is possible for an election to have no Condorcet winner, a situation called a Condorcet cycle. Suppose an election with 3 candidates A, B, and C has 3 voters. One votes A > C > B, one votes B > A > C, and one votes C > B > A.

  8. Comparison of voting rules - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_voting_rules

    The authors showed that limiting any method to elections with no Condorcet winner (choosing the Condorcet winner when there was one) would never increase its susceptibility to tactical voting. They reported that the 'Condorcet-Hare' system which uses IRV as a tie-break for elections not resolved by the Condorcet criterion was as resistant to ...

  9. Arrow's impossibility theorem - Wikipedia

    en.wikipedia.org/wiki/Arrow's_impossibility_theorem

    Condorcet believed voting rules should satisfy both independence of irrelevant alternatives and the majority rule principle, i.e. if most voters rank Alice ahead of Bob, Alice should defeat Bob in the election. [20] Unfortunately, as Condorcet proved, this rule can be intransitive on some preference profiles. [28] Thus, Condorcet proved a ...