[EM] Non-monotonic, unmonotonic and monotonic STV.
Richard Lung
voting at ukscientists.com
Fri Oct 7 10:18:54 PDT 2022
On 07/10/2022 10:05, Richard Lung wrote:
>
>
> Non-monotonic, unmonotonic and monotonic STV.
>
> A decided judgment on the single transferable vote is that it is
> non-monotonic. Strictly speaking, tho, this is an incorrect use of
> language. Because STV surplus transfers are monotonic. Non-monotonic
> is an untoward effect, in the potentially different elimination of
> least prefered candidates. But altogether, STV is not non-monotonic;
> it is partly monotonic. STV might better be called unmonotonic. It is
> only residualy non-monotonic.
>
> I claimed that Binomial STV is completely monotonic, on the grounds
> that it complements the monotonic surplus transfers election count,
> with a like exclusion count, with the preferences reversed. (Binomial
> STV does not eliminate [or elect] candidates during its count procedure.)
>
> Kristofer challenged my right to claim monotonicity, saying he didn’t
> know any system of STV that wasn’t non-monotonic. My thanks to
> Kristofer for his test on Binomial STV. He admitted it is monotonic,
> giving as a reason, that it counts abstentions.
>
> Regards,
>
> Richard Lung.
>
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