[EM] What is the name of this simplest STV multi-winner method?

[Richard Lung]

The system used in the IrishRepublicand in CambridgeMassachusettsis 
essentially the Hare system. The term, single transferable vote, 
originates with Thomas Hare. John Stuart Mill used the term, 
proportional representation, as an alternative to personal 
representation. The Hare system was meant to be in large constituencies, 
so he didn’t need to take the advice of Droop on the Droop quota. The 
original Hare system transfered surplus votes over the quota, as a 
statistical sample of the elected candidates whole vote. The system of 
weighting in arithmetic proportion, invented in 1880 by the Australian 
mathematician JB Gregory, found its way into Northern Irish STV elections.

Fair Vote Massachusettshas used the term, proportional representation 
RCV, for the Hare system or “at-large STV/PR,” as I would define it.

Regards,

Richard Lung.


On 25/11/2022 21:13, robert bristow-johnson wrote:
> Sorry to bother y'all for asking such a basic question here, but Wikipedia (athttps://en.wikipedia.org/wiki/Counting_single_transferable_votes  ) is confusing me a little.
>
> I understand the concept of a quota and the different quota definitions and I understand the concept of surplus votes and at least two different methods of transferring surplus votes.  But the simplest STV (multi or single winner) doesn't worry about transferring votes that are surplus over a quota, but only about transferring the votes of eliminated candidates.
>
> If the number of seats to be filled is M, what is the name of the STV method that simply repeatedly eliminates candidates (using the Hare method) each round (and transferring votes from the ballots preferring the eliminated candidates) until only M candidates remain.  Nothing is done with surplus votes of candidates that are not eliminated.  If M=1, this would be exactly Hare IRV.
>
> Thank you.
>
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>
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