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      <p class="MsoNormal"><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold"">The
          system used in the </span><span style="font-size:
          16.0pt;font-family:"Arial Rounded MT Bold"">Irish</span><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold""> </span><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold"">Republic</span><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold""> and in </span><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold"">Cambridge</span><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold""> </span><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold"">Massachusetts</span><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold""> is 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.</span></p>
      <p class="MsoNormal"><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold"">Fair
          Vote </span><span style="font-size:16.0pt;font-family:
          "Arial Rounded MT Bold"">Massachusetts</span><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold""> has used the term,
          proportional representation RCV, for the Hare system or
          “at-large STV/PR,” as I
          would define it.</span></p>
      <p class="MsoNormal"><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold"">Regards,</span></p>
      <p class="MsoNormal"><span
          style="font-size:16.0pt;font-family:"Arial Rounded MT
          Bold"">Richard Lung.<br>
        </span></p>
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    <p><br>
    </p>
    <div class="moz-cite-prefix">On 25/11/2022 21:13, robert
      bristow-johnson wrote:<br>
    </div>
    <blockquote type="cite"
      cite="mid:405128287.345847.1669410794402@privateemail.com">
      <pre class="moz-quote-pre" wrap="">
Sorry to bother y'all for asking such a basic question here, but Wikipedia (at <a class="moz-txt-link-freetext" href="https://en.wikipedia.org/wiki/Counting_single_transferable_votes">https://en.wikipedia.org/wiki/Counting_single_transferable_votes</a> ) 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.

--

r b-j . _ . _ . _ . _ <a class="moz-txt-link-abbreviated" href="mailto:rbj@audioimagination.com">rbj@audioimagination.com</a>

"Imagination is more important than knowledge."

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</pre>
    </blockquote>
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