math yawa

The Majority Criterion

If a candidate receives a majority of the 1st-place votes in an election, then that candidate should be the winner of the election.

The condorcet criterion

If there is a candidate that in a head-to-head comparison is preferred by the voters over every other candidate, then that candidate should be the winner of the election.

Monotonicity condition

If candidate X is a winner of an election and, in a re-election, the only changes in the ballots are changes that favor X, then X should remain a winner of the election.

The Independence of Irrelevant Alternatives Criterion

If candidate X is a winner of an election and one (or more) of the other candidates is removed and the ballots recounted, then X should still be a winner of the election.