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      <p class="MsoNormal"><span
          style="font-size:18.0pt;font-family:"Arial Rounded MT
          Bold"">Second
          order proportional representation.<o:p></o:p></span></p>
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      <p class="MsoNormal"><span
          style="font-size:18.0pt;font-family:"Arial Rounded MT
          Bold"">First
          order proportional representation refers to the election of
          the legislature by
          PR. Second-order PR refers to the composition of the
          executive.<o:p></o:p></span></p>
      <p class="MsoNormal"><span
          style="font-size:18.0pt;font-family:"Arial Rounded MT
          Bold"">Transferable
          voting can prefer candidates from more than one party, to
          decide the
          democratically prefered majority coalition. This single
          majority government,
          representing over half the voters in the executive, is the
          rational
          representation, that is denied by first past the post or
          simple plurality
          elections.<o:p></o:p></span></p>
      <p class="MsoNormal"><span
          style="font-size:18.0pt;font-family:"Arial Rounded MT
          Bold"">But
          that is still not second-order proportional representation.
          That requires at
          least a double majority government, which would represent two
          thirds of the
          voters in the executive. A triple majority government would
          represent three
          quarters of the voters in the executive. And so on. That is
          second-order
          proportional representation.<o:p></o:p></span></p>
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      <p class="MsoNormal"><span
          style="font-size:18.0pt;font-family:"Arial Rounded MT
          Bold"">Note
          that it requires a considerable first-order proportional
          representation to
          ensure even a single majority government. We saw this in </span><st1:country-region><st1:place><span
              style="font-size:18.0pt;font-family:"Arial Rounded MT
              Bold"">Ireland</span></st1:place></st1:country-region><span
          style="font-size: 18pt; font-family: "Arial Rounded MT
          Bold";">, when the then
          largest party, Fianna Fail whittled down the constituencies to
          3 or 4 members,
          so that they could win a majority of seats on only 45% of the
          votes.<br>
        </span></p>
      <p class="MsoNormal"><br>
        <big><big>My 3 free ebooks (Peace-making Power-sharing;
            Scientific Method Of Elections; Science is Ethics as
            Electics) are now also available in pdf here:</big></big></p>
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        <p class="MsoNormal"><big><big><span
                style="font-family:"Arial Rounded MT Bold""><a
                  href="https://plus.google.com/106191200795605365085"
                  target="_blank">https://plus.google.com/106191200795605365085</a><o:p></o:p></span></big></big></p>
        <p class="MsoNormal"><big><big><span style="font-family:
                "Arial Rounded MT Bold";">Also there are links
                to my UNESCO essay, in French, on scientific voting
                procedure. And my memoire to the Canadian parliament
                Special Committee on electoral reform (which is
                alternatively in English as a brief).<br>
              </span></big></big></p>
        <p class="MsoNormal"><big><big>From<br>
              Richard Lung.<br>
              <big><big><span style="font-family:"Arial Rounded MT
                    Bold""><o:p></o:p></span></big></big></big></big></p>
        <br>
        <span style="font-size:18.0pt;font-family:"Arial Rounded MT
          Bold""><o:p></o:p></span></p>
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    <pre class="moz-signature" cols="72">-- 
Richard Lung.

E-books (mostly available free or reader-sets-price)
<a class="moz-txt-link-freetext" href="http://www.voting.ukscientists.com/colverse.html">http://www.voting.ukscientists.com/colverse.html</a>
Includes the series of books on:
Democracy Science (starting with electoral reform and research);
Commentaries (literature and liberty; science and democracy);
Collected verse (in five books).</pre>
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