In 2009, the theoretical disadvantage of non-monotonicity worked out in practice in a state by-election in the South Australian seat of Frome.
42.
Monotonicity ensures that on each iteration the value will either stay the same or will grow larger, while finite height ensures that it cannot grow indefinitely.
43.
We can guarantee monotonicity by restricting the formula to only contain positive occurrences of ( that is, occurrences preceded by an even number of negations ).
44.
At the same time, this system fails the monotonicity criterion, where ranking a candidate higher can lessen the chances he or she will be elected.
45.
This non-monotonicity applies to states where interventions can be chosen, but are not chosen below certain thresholds ( because of cost etc . ).
46.
This monotonicity property implies the avoidance principle, for if the curve would ever touch itself the stretch factor would become infinite at the two touching points.
47.
Raising a candidate on some ballots " while changing " the orders of other candidates does " not " constitute a failure of monotonicity.
48.
If not, then it is necessary to check whether the monotonicity constraint ( see sufficiency, above ) is satisfied everywhere along the allocation and fee schedules.
49.
In 2011, he was elected to the Accademia Peloritana dei Pericolanti ( Italy ) and also to chair the International Working Group on Generalized Convexity and Monotonicity.
50.
The monotonicity property has a natural version for two measures, saying that " ? " 1 conditionally pointwise dominates " ? " 2.
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