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    <div class="moz-cite-prefix">To avoid confusion I usually just use
      the term "irrelevant ballots" to refer to ballots that in effect
      don't do anything  except<br>
      change the total number of ballots.<br>
      <br>
      To answer your specific question, obviously they should be
      irrelevant on who should win out of A and B but of course they
      support<br>
      A and B versus the rest so (even though A and B are "the clear
      frontrunners") they may not be <i>entirely</i> irrelevant.<br>
      <br>
      Chris Benham<br>
      <br>
      On 11/10/2016 2:03 AM, Toby Pereira wrote:<br>
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    <blockquote
      cite="mid:1276223068.947536.1478705598449@mail.yahoo.com"
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        <div id="yui_3_16_0_ym19_1_1478705300362_6141"><span
            id="yui_3_16_0_ym19_1_1478705300362_6180">Thank you for the
            clarification. Would you also consider ballots that
            rank/rate candidates equally to be irrelevant? For example,
            if A and B are the clear frontrunners anyway, and a
            ballot top rates or equal top ranks both candidates and
            doesn't mention any other candidates, would this be an
            irrelevant ballot?</span></div>
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                    <hr id="yui_3_16_0_ym19_1_1478705300362_6142"
                      size="1"> <b><span style="font-weight: bold;">From:</span></b>
                    C.Benham <a class="moz-txt-link-rfc2396E" href="mailto:cbenham@adam.com.au"><cbenham@adam.com.au></a><br>
                    <b><span style="font-weight: bold;">To:</span></b>
                    <a class="moz-txt-link-abbreviated" href="mailto:election-methods@lists.electorama.com">election-methods@lists.electorama.com</a> <br>
                    <b><span style="font-weight: bold;">Sent:</span></b>
                    Wednesday, 9 November 2016, 5:28<br>
                    <b><span style="font-weight: bold;">Subject:</span></b>
                    Re: [EM] Irrelevant Ballots<br>
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                      <div class="yiv7083602108moz-cite-prefix"
                        id="yui_3_16_0_ym19_1_1478705300362_6139">Toby,<br
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                        <br clear="none">
                        A while ago some-one coined the "Blank Ballots
                        Criterion" that just said that the result
                        shouldn't change if we add (or remove) some<br
                          clear="none">
                        "blank ballots".<br clear="none">
                        <br clear="none">
                        But it struck me that a method that breaches
                        this in spirit would usually meet the letter of
                        it by simply refusing to count such ballots<br
                          clear="none">
                        as "valid".<br clear="none">
                        <br clear="none">
                        So I coined "Irrelevant Ballots Independence"
                        that just said that if we add some ballots that
                        do nothing but plump for some candidate <br
                          clear="none">
                        with fewer above-bottom votes than any other
                        candidate and that is ignored or not voted above
                        bottom on all the other ballots then<br
                          clear="none">
                        the result shouldn't change.<br clear="none">
                        <br clear="none">
                        It is failed by Bucklin and tends to be failed
                        by methods that use arbitrary percentage
                        thresholds of all the valid ballots as part of
                        their<br clear="none">
                        algorithms.<br clear="none">
                        <br clear="none">
                        Chris Benham<br clear="none">
                        <br clear="none">
                        <br clear="none">
                        On 11/9/2016 8:20 AM, Toby Pereira wrote:<br
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                            I've noticed people (mainly Chris Benham I
                            think) talking about "irrelevant ballots",
                            and I just wanted to clear up the definition
                            that people use. My intuitive understanding
                            is that a ballot is irrelevant with respect
                            to candidates A and B if it ranks/rates them
                            equally or doesn't rank/rate them at all. So
                            if A is elected over B then the addition or
                            removal of any such ballots would never
                            cause B to be elected over A.</div>
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                        <pre>----
Election-Methods mailing list - see <a moz-do-not-send="true" class="yiv7083602108moz-txt-link-freetext" href="http://electorama.com/em" target="_blank" rel="nofollow" shape="rect">http://electorama.com/em</a> for list info
</pre>
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                  <div class="yqt6363353730" id="yqt01077">----<br
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                    Election-Methods mailing list - see <a
                      moz-do-not-send="true"
                      href="http://electorama.com/em" target="_blank"
                      shape="rect">http://electorama.com/em </a>for
                    list info<br clear="none">
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