Definition of "monotonicity" [monotonicity]

• The state of being monotonic. (noun)
• Said of a positive measure: the property of a positive measure of a measure space, that given two measurable sets where the first set is contained in the second one, then the measure of the first set must be less than or equal to the measure of the second set. (noun)

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• "Yes, STV fails 'monotonicity' which is a pity but of no consequence because the 'non-monotonicity' cannot be exploited either by the voters or by the 'candidates'."
• "You can correct for the 'monotonicity' failure, but only at the expense of the 'later no harm' condition."
• "'Later no harm' is a voting criterion that many ordinary voters consider far more important than 'monotonicity'."