[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.
>
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://lists.electorama.com/pipermail/election-methods-electorama.com/attachments/20221007/3e54081e/attachment.htm>


More information about the Election-Methods mailing list