Definitions
Wiktionary
- n. mathematics, physics The state of being monotonic.
- n. analysis 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.
Examples
“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'.”
“There are other considerations as well such as monotonicity for electronic sensing, but the point of this post is to get you thinking about possible errors and how they might affect, most especially, regional and global averages – in other words, what errors “average out” and what errors “add up”?”
“With no political spectrums (that is, all six of the ways to rank the three candidates are drawn from the same random distribution), IRV fails monotonicity 15% of the time.”
“IRV often works such that voters would be better off staying home or ranking their preferred candidates lower (this is called a violation of “monotonicity”).”
“In 10% of three-candidate elections with a 1-D political spectrum, IRV fails monotonicity.”
“IRV can fail to select the beats-everybody-else candidate, as it did in the Burlington, VT mayoral election of 2009, as well as fail the monotonicity criterion discussed above.”
“IRV can fail this criterion, as it did in the Burlington, VT mayoral election of 2009, as well as the monotonicity criterion discussed above.”
Matthew Yglesias » David Miliband Doesn’t Know What Century It Is
“On the theoretical side, IRV often works such that voters would be better off staying home or ranking their preferred candidates lower (this is called a violation of “monotonicity”).”
Matthew Yglesias » David Miliband Doesn’t Know What Century It Is
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