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Re: [EM] Non-monotonic, unmonotonic and monotonic STV.

RL
Richard Lung
Fri, Oct 7, 2022 5:18 PM

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.

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. >