The majority criterion is a voting system criterion, used to objectively compare voting systems. The criterion states that if a majority of voters strictly prefers a given candidate to every other candidate (i.e. the given candidate is the first preference of more than half the voters) and they vote sincerely, then that candidate should win.

Condorcet methods (such as the Schulze method and Ranked Pairs), plurality voting, instant-runoff voting, and Bucklin voting comply with the majority criterion, while the Borda count does not. Additionally, methods that do not use a ranked ballot, such as Approval voting, cannot satisfy it.

Difference to the Condorcet criterion

By the majority criterion, a candidate X should win if a majority of voters answers affirmatively to the question 'Do you prefer X to every other candidate?'.

Condorcet criterion is stronger. According to it, a candidate X should win if for every other candidate Y there is a majority of voters that answers affirmatively to the question 'Do you prefer X to Y?'.

Condorcet criterion implies majority criterion, but not vice versa. In the Condorcet criterion the majority of voters answering affirmatively may vary according to Y, but the majority criterion requires a single majority which prefers X to every other candidate.

See also

• Mutual majority criterion
• Voting system
• Voting system criterion
• Condorcet criterion

External links

• Election method criteria at condorcet.org
• Voting definitions and criteria

Voting system criteria