Condorcet ranking

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A Condorcet ranking is an ordering of candidates such that:

  • The Condorcet winner, if one exists, is ranked first.
  • The secondary Condorcet winner (the new Condorcet winner if the Condorcet winner is eliminated), if one exists, is ranked second.
  • The tertiary Condorcet winner (the new Condorcet winner if the Condorcet winner and the secondary Condorcet winner are eliminated), if one exists, is ranked third.
  • etc.

and

  • The Condorcet loser, if one exists, is ranked last.
  • The secondary Condorcet loser (the new Condorcet loser if the Condorcet loser is eliminated), if one exists, is ranked next-to-last.
  • The tertiary Condorcet loser (the new Condorcet loser if the Condorcet loser and secondary Condorcet loser are eliminated), if one exists, is ranked third-to-last.
  • etc.

Methods that produce Condorcet rankings include Kemeny-Young and Ranked Pairs.