Mono-add-top criterion

Mono-add-top is a relative criterion which requires that if candidate X is the winner of the election, then adding additional ballots which rank X strictly above all other candidates must not reduce the probability that the winner is still X.

The name "Mono-add-top" was invented by Douglas Woodall.

Any method which satisfies the Participation criterion also satisfies Mono-add-top.

Woodall has shown that it is impossible for a method to satisfy all three of Condorcet, the Plurality criterion, and Mono-add-top. Minmax(margins) passes Condorcet and mono-add-top, but not Plurality. It is not known whether Mono-add-top is compatible with Smith.