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    <div class="moz-cite-prefix">On 11/22/2016 9:25 AM, Michael Ossipoff
      wrote:<br>
      <br>
      <blockquote type="cite">
        <div>With MDDTR, if your plump for X makes hir lose, it's
          because you added a ballot. It has nothing whatsoever to do
          with the fact that the new ballot plumped for X.<br>
          <br>
        </div>
        <div>Your ballot made X lose in spite of the fact that it was a
          plump for X, not because it was a plump for X.<br>
          <br>
        </div>
        But in IRV, when you make X lose by raising hir from last place
        to 1st place, that raising of X was the only thing that you did,
        and it is the reason why X lost.</blockquote>
      <br>
      That "distinction" is meaningless and completely useless.  The
      idea that adding a ballot is "something you did" that rates a
      mention is ridiculous.<br>
      <br>
      <blockquote type="cite"><span class="">
          <blockquote type="cite">[Mike:] Anyway, if IRV is so widely
            used and successful, then why would nonmonotonicity be a
            problem for MDDTR?</blockquote>
          <br>
        </span> [Chris:] Because IRV has a traditional and (for many)
        intuitive algorithm
        <div><br>
        </div>
        <div>[Mike:] So, tradition before merit?</div>
      </blockquote>
      <br>
      Mike, the (quoted) question of yours that I was answering was why
      "<b>would</b> <span class=""> non-monotonicity be a problem for
        MDDTR?", not why it <i>should</i>.<br>
        <br>
      </span>
      <blockquote type="cite">
        <div class="m_-5996776559525049224moz-cite-prefix">Chris said:<br>
        </div>
        <div class="m_-5996776559525049224moz-cite-prefix"> <br>
          Just the knowledge that a failure of Mono-add-Plump  is
          theoretically possible could reduce people's enthusiasm for
          voting and make it more<br>
          likely that those who like to vote by just plumping for their
          favourite will stay home. <br>
          <br>
        </div>
        <div class="m_-5996776559525049224moz-cite-prefix">[endquote]<br>
          <br>
        </div>
        .Then the fact that ranking someone 1st place instead of last
        place could make hir lose will likewise make you stay home
        instead of showing up and top-ranking your favorite in IRV.<br>
        .<span class=""><br>
        </span></blockquote>
      <br>
      Monotonicity failures of the Participation-like "Your announced
      result may be premature, I have only just voted, here is my
      ballot" type are much more stark and<br>
      potentially problematic than the "I and everybody else has voted
      and the result has been announced, but I wish to alter my ballot
      and have the votes recounted"<br>
      type.<br>
      <br>
      That is because (a) the media and sometimes the major parties are
      eager for a quick result and usually the winner can be determined
      without counting all the votes,<br>
      and (b) because it isn't practical (with a secret ballot) or legal
      to allow voters to to change their already-cast ballots and demand
      a recount.<br>
      <br>
      Suppose that a simple purely positional method (such as FPP or
      Approval) has been used and voter P always just plumps for hir
      favourite.  Now suppose that the <br>
      method changes to IRV.  No-one can ever demonstrate to voter P
      that continuing to vote in the same way can ever cause a worse
      result for P's favourite than if<br>
      P had stayed home.  <br>
      <br>
      That isn't the case with any method (like MDDTR) that fails
      Mono-add-Plump. So MDDTR's failure of Mono-add-Plump makes for a
      much stronger stay-at-home<br>
      incentive than IRV's  vulnerability to Push-over strategy, with
      the result that occasionally a subset of candidate X's supporters
      could have got a better result for<br>
      X (than if they'd top-ranked X) by top-ranking some other
      candidate.<br>
      <br>
      <blockquote type="cite">
        <div class="m_-5996776559525049224moz-cite-prefix">Anyway, we
          now know that, with the pt/2 provision, MDDA & MDDTR
          needn't give up Mono-Add-Plump.   ...and evidently MMPO
          needn't have the Hitler-with-2-votes problem.<br>
        </div>
        <div class="m_-5996776559525049224moz-cite-prefix"><br>
        </div>
      </blockquote>
      <br>
      Regarding MDDA,  symmetrically completing the ballots only at the
      bottom and having a moveable approval cutoff fixes its failures of
      Mono-add-Plump<br>
      and Plurality and Irrelevant Ballots Independence and in my
      opinion makes it a good/acceptable method.<br>
      <br>
      Chris Benham<br>
      <br>
      <br>
      <span class=""></span><br>
      On 11/22/2016 9:25 AM, Michael Ossipoff wrote:<br>
    </div>
    <blockquote
cite="mid:CAOKDY5Dn4eMf_JS4_+C99287BG8Card1StXoUTyvVWQR60ejvA@mail.gmail.com"
      type="cite">
      <div dir="ltr"><br>
        <div class="gmail_extra"><br>
          <div class="gmail_quote">On Sat, Nov 19, 2016 at 12:18 AM,
            C.Benham <span dir="ltr"><<a moz-do-not-send="true"
                href="mailto:cbenham@adam.com.au" target="_blank">cbenham@adam.com.au</a>></span>
            wrote:<br>
            <blockquote class="gmail_quote" style="margin:0 0 0
              .8ex;border-left:1px #ccc solid;padding-left:1ex">
              <div bgcolor="#FFFFFF" text="#000000">
                <div class="m_-5996776559525049224moz-cite-prefix"><span
                    class="">On 11/19/2016 3:14 AM, Michael Ossipoff
                    wrote:<br>
                    <blockquote type="cite">If the more embarrassing
                      Mono-Raise failure doesn't give IRV any acceptance
                      or enactment problem, then why should the less
                      embarrassing Mono-Add-Plump failure of MDDTR give
                      MDDTR an acceptance or enactment problem?</blockquote>
                    <br>
                  </span> Because what you consider more or less
                  "embarrassing" I am sure isn't in accord with what
                  most people would find unacceptably ridiculous.</div>
              </div>
            </blockquote>
            <div><br>
            </div>
            <div>You're right. What could be considered ridiculous about
              making a candidate lose by raising hir from last choice to
              1st choice in your ranking?  <br>
              <br>
              :^)<br>
              <br>
               <br>
            </div>
            <blockquote class="gmail_quote" style="margin:0 0 0
              .8ex;border-left:1px #ccc solid;padding-left:1ex">
              <div bgcolor="#FFFFFF" text="#000000">
                <div class="m_-5996776559525049224moz-cite-prefix"> <br>
                  <span class=""> <br>
                    <blockquote type="cite">With MDDTR, if your plump
                      for X makes X lose, it's because you added a
                      ballot. It has nothing whatsoever to do with the
                      fact that you voted favorably to X.</blockquote>
                    <br>
                  </span> That's right. "You" should have found some way
                  to vote for X without adding a ballot. Unfortunately
                  removing someone else's ballot when you are in the <br>
                  polling station is usually impossible or legally
                  risky.<span class=""><br>
                  </span></div>
              </div>
            </blockquote>
            <div><br>
            </div>
            <div>Then let me reword it: <br>
              <br>
            </div>
            <div>With MDDTR, if your plump for X makes hir lose, it's
              because you added a ballot. It has nothing whatsoever to
              do with the fact that the new ballot plumped for X.<br>
              <br>
            </div>
            <div>Your ballot made X lose in spite of the fact that it
              was a plump for X, not because it was a plump for X.<br>
              <br>
            </div>
            <div>But in IRV, when you make X lose by raising hir from
              last place to 1st place, that raising of X was the only
              thing that you did, and it is the reason why X lost.<br>
               <br>
            </div>
            <blockquote class="gmail_quote" style="margin:0 0 0
              .8ex;border-left:1px #ccc solid;padding-left:1ex">
              <div bgcolor="#FFFFFF" text="#000000">
                <div class="m_-5996776559525049224moz-cite-prefix"><span
                    class=""> <br>
                    <blockquote type="cite">Anyway, if IRV is so widely
                      used and successful, then why would
                      nonmonotonicity be a problem for MDDTR?</blockquote>
                    <br>
                  </span> Because IRV has a traditional and (for many)
                  intuitive algorithm</div>
              </div>
            </blockquote>
            <div><br>
            </div>
            <div>So, tradition before merit?<br>
               <br>
            </div>
            <blockquote class="gmail_quote" style="margin:0 0 0
              .8ex;border-left:1px #ccc solid;padding-left:1ex">
              <div bgcolor="#FFFFFF" text="#000000">
                <div class="m_-5996776559525049224moz-cite-prefix">, and
                  a solid "maximal"  set of criterion compliances and
                  MDDTR doesn't.<br>
                </div>
              </div>
            </blockquote>
            <div><br>
            </div>
            <div>No doubt everyone has own definition of "solid
              maximal".<br>
              <br>
            </div>
            <div>MDDTR avoids chicken dilemma and meets FBC. <br>
              <br>
              IRV avoids chicken dilemma but fails FBC.<br>
              <br>
            </div>
            <div>IRV was thrown out in Burlington because the CWs's
              voters have no way to protect hir from defeat if hir
              faction is smallest, and neither does anyone else, short
              of favorite-burial.<br>
              <br>
               MDDTR doesn't have that problem. Though MDDTR's
              protection of a CWs isn't as good as that of Simmons
              (unless, with Simmons, that CWs is being denied approval
              due to a chicken-dilemma situation), MDDTR still offers
              some burial deterrence (helped by voters, including the
              CWs's voters, refusing to rank past the CWs), and full
              truncation-proofness.<br>
              <br>
            </div>
            <div>IRV is pretty much unique, in the degree to which no
              one can do anything to protect a small-faction CWs.<br>
              <br>
            </div>
            <div>I don't oppose IRV, though I don't advocate it either
              (unless the only alternative is no change from Plurality).<br>
              <br>
            </div>
            <div>As I said in another thread, IRV's long track-record in
              elections for national office, is one of 2-party
              domination.<br>
              <br>
            </div>
            <blockquote class="gmail_quote" style="margin:0 0 0
              .8ex;border-left:1px #ccc solid;padding-left:1ex">
              <div bgcolor="#FFFFFF" text="#000000">
                <div class="m_-5996776559525049224moz-cite-prefix"> <br>
                  Earlier you attempted to ridicule my observation that
                  MDDTR fails Irrelevant Ballots Independence by
                  suggesting that might indirectly motivate a higher<br>
                  turnout.  </div>
              </div>
            </blockquote>
            <div><br>
            </div>
            <div>There's nothing wrong with working to increase turnout.<br>
              <br>
               </div>
            <blockquote class="gmail_quote" style="margin:0 0 0
              .8ex;border-left:1px #ccc solid;padding-left:1ex">
              <div bgcolor="#FFFFFF" text="#000000">
                <div class="m_-5996776559525049224moz-cite-prefix">Well,
                  just as some might have an interest in promoting that
                  (for voters who'll ignore the competitive/viable
                  candidates) so as to wash away<br>
                  an otherwise likely majority-defeat disqualification
                  so would opposed forces have an interest in doing the
                  opposite.<br>
                </div>
              </div>
            </blockquote>
            <div><br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">Sure,
              some might have incentive to suppress turnout. That that's
              true anyway, with any method. Anyway, measures to reduce
              turnout would be difficult to justify in Congress, and, in
              some instances, under existing law, would be illegal. I
              don't think that turnout-suppression with MDDTR would be a
              problem.<br>
              <br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">In any
              case, the Mono-Add-Plump failure of MDDA & MDDTR is
              now moot, because it's avoided by the pt/2 provision.<br>
              <br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix"><br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">Chris
              said:<br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix"> <br>
              Just the knowledge that a failure of Mono-add-Plump  is
              theoretically possible could reduce people's enthusiasm
              for voting and make it more<br>
              likely that those who like to vote by just plumping for
              their favourite will stay home. <br>
              <br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">[endquote]<br>
              <br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">.Then the
              fact that ranking someone 1st place instead of last place
              could make hir lose will likewise make you stay home
              instead of showing up and top-ranking your favorite in
              IRV.<br>
              .<br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix"> Chris
              said:<br>
              <br>
              Whereas IRV doesn't just meet mono-add-plump. It also meet
              Mono-add-Top<br>
              <br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">[endquote]<br>
              <br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">...and
              fails Mono-Raise, and fails FBC in a particularly flagrant
              way that won't be unusual..<br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix"> <br>
              <blockquote type="cite">
                <div>C: Failing mono-add-plump is as stupid as a
                  quasi-"intelligent" device can be, in a pure and
                  starkly obvious way, and with the lamest possible
                  excuse.<br>
                  <br>
                  The algorithm/device decides that X should win, and
                  then receives some more ballots that contain nothing
                  whatsoever but the pure and simple message:<br>
                  "You are right! X should win" and responds with the
                  bizarre malfunction "I've changed my mind, Y should
                  win" and offers the nonsensical excuse "Hey those<br>
                  extra ballots didn't just say that X should win. They
                  also increased the total number of ballots!".<br>
                  <br>
                  <br>
                  <blockquote type="cite">C: What (arguably) desirable
                    properties (or criterion compliances)  are
                    incompatible with meeting Mono-add-Plump?<br>
                    <div><br>
                    </div>
                    <div>Mike: FBC, CD, & wv-like strategy are
                      evidently require failing Mono-Add-Plump, or
                      having MMPO's Hitler-with-2-votes problem.<br>
                      <br>
                    </div>
                    With MDDTR, the price of FBC, CD & wv-like
                    strategy is Mono-Add-Plump.</blockquote>
                  <br>
                  C: There are methods that meet  FBC and CD and
                  mono-add-plump. So your proposition boils down to
                  saying that it's worth giving up compliance with <br>
                  mono-add-plump just to gain "wv-like strategy"<br>
                  <br>
                </div>
                .</blockquote>
              Sure, I'm more interested in making voting easier, and
              making sincerity safer, than in embarrassment criteria.
              (...and IRV has an at least equally ridiculous
              nonmonotonicity).<br>
              <br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">I now
              realize that MDDTR doesn't have wv strategy, though it
              does have full truncation-proofness.<br>
              <br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">Simmons,
              MMPO(pt/2), IC,MMPO, and probably other methods meet FBC
              & CD, and let voters protect a CWs to varying degrees
              under different conditions...something that you have to
              give up when you choose IRV, in which a CWs automatically
              loses if its faction is smallest.<br>
              <br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">I'm not
              saying that the overall IRV package couldn't be ok, if
              people understand and accept IRV's problem and won't let
              it make them favorite-bury.<br>
              <br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">Anyway,
              we now know that, with the pt/2 provision, MDDA &
              MDDTR needn't give up Mono-Add-Plump.   ...and evidently
              MMPO needn't have the Hitler-with-2-votes problem.<br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix"><br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix">Michael
              Ossipoff<br>
            </div>
            <div class="m_-5996776559525049224moz-cite-prefix"><br>
              Chris Benham
              <div>
                <div class="h5"><br>
                  <br>
                  <br>
                  On 11/19/2016 3:14 AM, Michael Ossipoff wrote:<br>
                </div>
              </div>
            </div>
            <blockquote class="gmail_quote" style="margin:0 0 0
              .8ex;border-left:1px #ccc solid;padding-left:1ex">
              <div bgcolor="#FFFFFF" text="#000000">
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                    <blockquote type="cite">
                      <div dir="ltr">
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                                                  <div>I don't mean that
                                                    IRV isn't ok. IRV's
                                                    Mono-Raise failure
                                                    doesn't bother me.<br>
                                                  </div>
                                                  <div>Neither does
                                                    MDDTR's
                                                    Mono-Add-Plump
                                                    failure. <br>
                                                  </div>
                                                  <div><br>
                                                  </div>
                                                  Voting's purpose is
                                                  probabilistic anyway.
                                                  You vote to improve
                                                  the probability of a
                                                  better outcome. The
                                                  possible
                                                  nonmonotonicity of IRV<br>
                                                </div>
                                                & MDDTR doesn't
                                                invalidate that.<br>
                                                <br>
                                              </div>
                                              My point, in asking about
                                              when you make someone lose
                                              by raising hir from last
                                              place to 1st place, was
                                              just that IRV is popular
                                              and widely used. It's been
                                              used in Australia for a
                                              long time, and it's used
                                              in a fair number of cities
                                              in this country.  ...and
                                              now has been adopted by
                                              the state of Maine.<br>
                                              <br>
                                            </div>
                                            ...in spite of its
                                            Mono-Raise failure.<br>
                                            <br>
                                          </div>
                                          If the more embarrassing
                                          Mono-Raise failure doesn't
                                          give IRV any acceptance or
                                          enactment problem, then why
                                          should the less embarrassing
                                          Mono-Add-Plump failure of
                                          MDDTR give MDDTR an acceptance
                                          or enactment problem?<br>
                                          <br>
                                        </div>
                                        <div>There of course have been
                                          objections to IRV, some valid,
                                          some not. But I haven't heard
                                          any of the IRV critics in the
                                          various cities complain about
                                          its nonmonotonicity. They
                                          object to implementation
                                          complexity. They invalidly
                                          claim voting complexity. They
                                          invalidly complain because
                                          supposedly voting is supposed
                                          to be by Plurality. They
                                          repealed IRV in Burlington
                                          because of the elimination of
                                          a CWv.   But none of the
                                          complaints that I've heard, in
                                          cities using it or considering
                                          IRV, have been about its
                                          nonmonotonicity.<br>
                                          <br>
                                        </div>
                                        <div>Why I say that Mono-Raise
                                          failure is more embarrassing:<br>
                                          <br>
                                        </div>
                                        With MDDTR, if your plump for X
                                        makes X lose, it's because you
                                        added a ballot. It has nothing
                                        whatsoever to do with the fact
                                        that you voted favorably to X.<br>
                                        <br>
                                      </div>
                                      With IRV, if raising X from bottom
                                      to top makes X lose, then X lost
                                      for no other reason than because
                                      you helped hir more.<br>
                                      <br>
                                    </div>
                                    There are 2 kinds of
                                    nonmonotonicity:<br>
                                    <br>
                                  </div>
                                  Did you make X lose _in spite of_
                                  voting favorably for hir?<br>
                                  <br>
                                </div>
                                or<br>
                                <br>
                              </div>
                              Did you make X lose _because_ you voted
                              hir more favorably?<br>
                              <br>
                            </div>
                            Of those 2 kinds of nonmonotonicity the 2nd
                            one is more of an embarrassment to the
                            method. There, the method is more directly
                            acting oppositely to your action.<br>
                            <br>
                          </div>
                          Maybe it could be said that the 2nd kind of
                          nonmonotonicity is twice as embarrassing to
                          the voting-system.<br>
                          <br>
                        </div>
                        <div>Anyway, if IRV is so widely used and
                          successful, then why would nonmonotonicity be
                          a problem for MDDTR?<br>
                          <br>
                        </div>
                        <div>I now feel that IRV's (mitigated) problem
                          isn't an unusually high price for CD, isn't
                          more than the "going rate" for CD. IRV &
                          its derivatives are at the top of my ranking
                          of method-merit for electorates who want
                          &/or need ranking.<br>
                          <br>
                        </div>
                        <div>Michael Ossipoff<br>
                          <br>
                        </div>
                        <div><br>
                        </div>
                        <div><br>
                        </div>
                        <div>
                          <div>
                            <div>
                              <div>
                                <div>
                                  <div>
                                    <div>
                                      <div>
                                        <div>
                                          <div>
                                            <div>
                                              <div><br>
                                                <div>
                                                  <div>
                                                    <div>
                                                      <div><br>
                                                        <br>
                                                      </div>
                                                    </div>
                                                  </div>
                                                </div>
                                              </div>
                                            </div>
                                          </div>
                                        </div>
                                      </div>
                                    </div>
                                  </div>
                                </div>
                              </div>
                            </div>
                          </div>
                        </div>
                      </div>
                      <div class="gmail_extra"><br>
                        <div class="gmail_quote">On Fri, Nov 18, 2016 at
                          1:23 AM, Michael Ossipoff <span dir="ltr"><<a
                              moz-do-not-send="true"
                              href="mailto:email9648742@gmail.com"
                              target="_blank">email9648742@gmail.com</a>></span>
                          wrote:<br>
                          <blockquote class="gmail_quote"
                            style="margin:0 0 0 .8ex;border-left:1px
                            #ccc solid;padding-left:1ex">
                            <div dir="ltr">
                              <div>Forest--<br>
                                <br>
                              </div>
                              You wrote:<br>
                              <div>
                                <div>
                                  <div>
                                    <div class="gmail_extra">
                                      <div class="gmail_quote"><span>
                                          <blockquote
                                            class="gmail_quote"
                                            style="margin:0 0 0
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                                            solid;padding-left:1ex">
                                            <div dir="ltr">
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                                                      <div>
                                                        <div>
                                                          <div>
                                                          <div>
                                                          <div><br>
                                                          </div>
                                                          But MAI still
                                                          fails FBC.<br>
                                                          </div>
                                                          </div>
                                                        </div>
                                                      </div>
                                                    </div>
                                                  </div>
                                                </div>
                                              </div>
                                            </div>
                                          </blockquote>
                                          <div><br>
                                          </div>
                                        </span>
                                        <div>Failing both FBC & CD
                                          isn't good.<br>
                                           <br>
                                        </div>
                                        <span>
                                          <blockquote
                                            class="gmail_quote"
                                            style="margin:0 0 0
                                            .8ex;border-left:1px #ccc
                                            solid;padding-left:1ex">
                                            <div dir="ltr">
                                              <div>
                                                <div>
                                                  <div>
                                                    <div>
                                                      <div>
                                                        <div>
                                                          <div>
                                                          <div><br>
                                                          </div>
                                                          So to me the
                                                          best proposal
                                                          is ICA with
                                                          default
                                                          approval
                                                          cutoff at
                                                          truncation to
                                                          help punish
                                                          burial and
                                                          truncation
                                                          with an option
                                                          to raise the
                                                          cutoff to
                                                          withstand a CD
                                                          attack.<br>
                                                          </div>
                                                        </div>
                                                      </div>
                                                    </div>
                                                  </div>
                                                </div>
                                              </div>
                                            </div>
                                          </blockquote>
                                          <div><br>
                                          </div>
                                        </span>
                                        <div>But buriers or truncators
                                          could raise that approval
                                          cutoff too. Someone could bury
                                          X under Z without having to
                                          approve Z. That loses the
                                          deterrence that would exist if
                                          that burier had to approve Z
                                          in order to rank hir over
                                          someone, as would be so if
                                          ranking is counted as
                                          approval.<br>
                                          <br>
                                        </div>
                                        <div>So CD still comes at the
                                          cost of a lot less protection
                                          against burial, or, in ICT's
                                          case, trunction too.<br>
                                          <br>
                                        </div>
                                        <div>But that just means that it
                                          isn't _better_ than MDDTR in
                                          that regard. It doesn't mean
                                          that it's worse.<br>
                                          <br>
                                        </div>
                                        <div>And it doesn't have
                                          Mono-Add-Plump failure.<br>
                                          <br>
                                        </div>
                                        <div>So, the method has CD as
                                          MDDTR does, and trades
                                          truncation-proofness for
                                          Mono-Add-Plump.<br>
                                          <br>
                                        </div>
                                        <div>I value strategy
                                          protections more than
                                          embarrassment criteria. (But I
                                          realize that
                                          proposal-opponents can use
                                          embarrassment criteria
                                          criticisms, and that
                                          proponents aren't likely to be
                                          able to afford as much media
                                          time, to answer the
                                          criticisms.)<br>
                                          <br>
                                        </div>
                                        <div>[Replying farther down] :<br>
                                          <br>
                                        </div>
                                        <span>
                                          <div> <br>
                                          </div>
                                          <blockquote
                                            class="gmail_quote"
                                            style="margin:0 0 0
                                            .8ex;border-left:1px #ccc
                                            solid;padding-left:1ex">
                                            <div dir="ltr">
                                              <div>
                                                <div>
                                                  <div>
                                                    <div>
                                                      <div>
                                                        <div>
                                                          <div><br>
                                                          </div>
                                                          Here's my
                                                          version
                                                          (slightly
                                                          different from
                                                          the original):<br>
                                                          <br>
                                                        </div>
                                                        Candidate X
                                                        strongly beats
                                                        candidate Y iff<br>
                                                        <br>
                                                      </div>
                                                      the number of
                                                      ballots on which X
                                                      is ranked over Y
                                                      is greater than<br>
                                                      <br>
                                                    </div>
                                                    the number of
                                                    ballots on which Y
                                                    is <u><i><b>ranked</b></i></u>
                                                    equal to or greater
                                                    than Y.<br>
                                                    <br>
                                                  </div>
                                                  [Note Y is not ranked
                                                  equal to X if Y is not
                                                  ranked.]<br>
                                                  <br>
                                                </div>
                                                If not all of the
                                                candidates are strongly
                                                beaten, disqualify all
                                                of the ones who are.<br>
                                                <br>
                                                Elect the most approved
                                                qualified candidate.<br>
                                                <br>
                                              </div>
                                              <div>I think that this
                                                method has all of the
                                                good properties of MDDA
                                                with mono-add-plump to
                                                boot.<br>
                                              </div>
                                            </div>
                                          </blockquote>
                                          <div><br>
                                          </div>
                                        </span>
                                        <div>I've only had a preliminary
                                          look at it, but it seems to
                                          me, right now, that the
                                          separate approval-cutoff that
                                          the voter can raise from the
                                          default spoils protection from
                                          burial & truncation.<br>
                                           <br>
                                        </div>
                                        <span>
                                          <div><br>
                                          </div>
                                          <div>You wrote: <br>
                                          </div>
                                          <div> </div>
                                          <blockquote
                                            class="gmail_quote"
                                            style="margin:0 0 0
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                                            solid;padding-left:1ex">
                                            <div dir="ltr">
                                              <div>We still need to
                                                explore MDDA with the
                                                half power truncation
                                                rule, since it would
                                                also satisfy
                                                mono-add-plump if I am
                                                not mistaken.<br>
                                              </div>
                                            </div>
                                          </blockquote>
                                          <div><br>
                                          </div>
                                        </span>
                                        <div>Yes, it seems to me that a
                                          1/2 power-truncation would get
                                          rid of the Mono-Add-Plump
                                          failure. If, by not ranking a
                                          certain 2 candidates, you give
                                          them each at least half of a
                                          vote against eachother, that
                                          would bring Mono-Add-Plump
                                          compliance, it seems to me.<br>
                                          <br>
                                        </div>
                                        <div>So maybe it would avoid
                                          criticism of MDDA.<br>
                                        </div>
                                        <div><br>
                                        </div>
                                        <div>But, if used with MDDTR, it
                                          would spoil CD.<br>
                                          <br>
                                        </div>
                                        <span>
                                          <div>You wrote:<br>
                                            <br>
                                          </div>
                                          <div><br>
                                          </div>
                                          <blockquote
                                            class="gmail_quote"
                                            style="margin:0 0 0
                                            .8ex;border-left:1px #ccc
                                            solid;padding-left:1ex">
                                            <div dir="ltr">
                                              <div><br>
                                              </div>
                                              <div>I agree with Chris
                                                Benham that
                                                mono-add-plump failure
                                                would be fatal in a
                                                public proposal.<br>
                                              </div>
                                            </div>
                                            <div
                                              class="m_-5996776559525049224m_-5967753060088133619HOEnZb">
                                              <div
                                                class="m_-5996776559525049224m_-5967753060088133619h5">
                                                <div class="gmail_extra"><br>
                                                </div>
                                              </div>
                                            </div>
                                          </blockquote>
                                          <div><br>
                                          </div>
                                        </span>
                                        <div>What if you're going to
                                          rank X last in your ranking.
                                          With all the ballots,
                                          including yours, X will win.
                                          But then you move X to 1st
                                          place in your ranking, and
                                          that makes X lose.<br>
                                          <br>
                                        </div>
                                        <div>Would that be ok?<br>
                                          <br>
                                        </div>
                                        <div>
                                          <div
                                            class="m_-5996776559525049224h5">
                                            <div>Michael Ossipoff<br>
                                              <br>
                                            </div>
                                            <div><br>
                                               </div>
                                            <blockquote
                                              class="gmail_quote"
                                              style="margin:0 0 0
                                              .8ex;border-left:1px #ccc
                                              solid;padding-left:1ex">
                                              <div
                                                class="m_-5996776559525049224m_-5967753060088133619HOEnZb">
                                                <div
                                                  class="m_-5996776559525049224m_-5967753060088133619h5">
                                                  <div
                                                    class="gmail_extra">
                                                    <div
                                                      class="gmail_quote">On
                                                      Thu, Nov 17, 2016
                                                      at 2:12 PM,
                                                      Michael Ossipoff <span
                                                        dir="ltr"><<a
moz-do-not-send="true" href="mailto:email9648742@gmail.com"
                                                          target="_blank">email9648742@gmail.com</a>></span>
                                                      wrote:<br>
                                                      <blockquote
                                                        class="gmail_quote"
                                                        style="margin:0
                                                        0 0
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                                                        #ccc
                                                        solid;padding-left:1ex">
                                                        <div dir="ltr">
                                                          <div>
                                                          <div>I meant
                                                          to ask: Did
                                                          you say that
                                                          MTRI doesn't
                                                          pass FBC? How
                                                          does FBC
                                                          failure
                                                          happen? In
                                                          return for
                                                          FBC, it should
                                                          beat MDDTR at
                                                          vulnerability
                                                          to burial, and
                                                          not be
                                                          vulnerable to
                                                          truncation.<br>
                                                          <br>
                                                          </div>
                                                          Anyway,
                                                          anything you
                                                          can tell me
                                                          about the
                                                          properties
                                                          comparison
                                                          between MTRI
                                                          & MDDTR
                                                          would be
                                                          helpful.<span
class="m_-5996776559525049224m_-5967753060088133619m_2209416936795919876HOEnZb"><font
color="#888888"><br>
                                                          <br>
                                                          </font></span></div>
                                                          <span
class="m_-5996776559525049224m_-5967753060088133619m_2209416936795919876HOEnZb"><font
color="#888888">MIchael Ossipoff<br>
                                                          </font></span></div>
                                                        <div
class="m_-5996776559525049224m_-5967753060088133619m_2209416936795919876HOEnZb">
                                                          <div
class="m_-5996776559525049224m_-5967753060088133619m_2209416936795919876h5">
                                                          <div
                                                          class="gmail_extra"><br>
                                                          <div
                                                          class="gmail_quote">On
                                                          Thu, Nov 17,
                                                          2016 at 5:05
                                                          PM, Michael
                                                          Ossipoff <span
                                                          dir="ltr"><<a
moz-do-not-send="true" href="mailto:email9648742@gmail.com"
                                                          target="_blank">email9648742@gmail.com</a>></span>
                                                          wrote:<br>
                                                          <blockquote
                                                          class="gmail_quote"
style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
                                                          <div dir="ltr">
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>For this
                                                          method, MTRI,
                                                          the procedural
                                                          definition is
                                                          more
                                                          understandable
                                                          than the
                                                          recursive
                                                          definition
                                                          (though the
                                                          recursive
                                                          definition's
                                                          brevity could
                                                          be useful).<br>
                                                          <br>
                                                          </div>
                                                          So this is
                                                          what I
                                                          understand
                                                          MTRI's
                                                          procedural
                                                          definition to
                                                          be:<br>
                                                          <br>
                                                          </div>
                                                          1. Order the
                                                          candidates by
                                                          their
                                                          top-count
                                                          score, with
                                                          higher scores
                                                          at top.<br>
                                                          <br>
                                                          </div>
                                                          2. Switch the
                                                          lowest pair of
                                                          adjacent
                                                          candidates
                                                          whose lower
                                                          candidate
                                                          pair-beats the
                                                          higher one.<br>
                                                          <br>
                                                          </div>
                                                          Repeat till
                                                          there are no
                                                          more pairs to
                                                          switch. The
                                                          highest
                                                          candidate in
                                                          the order at
                                                          that time
                                                          wins.<br>
                                                          <br>
------------------------------<wbr>-----------------<br>
                                                          <br>
                                                          </div>
                                                          As a CD rank
                                                          method, this
                                                          method is a
                                                          competitor of
                                                          MDDTR. What
                                                          are the
                                                          property
                                                          differences
                                                          between MTRI
                                                          & MDDTR?<br>
                                                          </div>
                                                          <br>
                                                          </div>
                                                          In particular,
                                                          how does MTRI
                                                          compare with
                                                          MDDTR in
                                                          regards to
                                                          protection of
                                                          a CWs against
                                                          truncation
                                                          & burial?<span
class="m_-5996776559525049224m_-5967753060088133619m_2209416936795919876m_-3518268541538704350HOEnZb"><font
color="#888888"><br>
                                                          <br>
                                                          </font></span></div>
                                                          <span
class="m_-5996776559525049224m_-5967753060088133619m_2209416936795919876m_-3518268541538704350HOEnZb"><font
color="#888888">Michael Ossipoff<br>
                                                          <br>
                                                          </font></span></div>
                                                          <div
class="m_-5996776559525049224m_-5967753060088133619m_2209416936795919876m_-3518268541538704350HOEnZb">
                                                          <div
class="m_-5996776559525049224m_-5967753060088133619m_2209416936795919876m_-3518268541538704350h5">
                                                          <div
                                                          class="gmail_extra"><br>
                                                          <div
                                                          class="gmail_quote">On
                                                          Thu, Nov 17,
                                                          2016 at 2:55
                                                          PM, Forest
                                                          Simmons <span
                                                          dir="ltr"><<a
moz-do-not-send="true" href="mailto:fsimmons@pcc.edu" target="_blank">fsimmons@pcc.edu</a>></span>
                                                          wrote:<br>
                                                          <blockquote
                                                          class="gmail_quote"
style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
                                                          <div dir="ltr"><span>On
                                                          Thu, Nov 17,
                                                          2016 at 10:54
                                                          AM, Michael
                                                          Ossipoff <span
                                                          dir="ltr"><<a
moz-do-not-send="true" href="mailto:email9648742@gmail.com"
                                                          target="_blank">email9648742@gmail.com</a>></span>
                                                          wrote:<br>
                                                          </span>
                                                          <div
                                                          class="gmail_extra">
                                                          <div
                                                          class="gmail_quote"><span>
                                                          <blockquote
                                                          style="margin:0px
                                                          0px 0px
                                                          0.8ex;border-left:1px
                                                          solid
                                                          rgb(204,204,204);padding-left:1ex"
class="gmail_quote">
                                                          <div dir="ltr">
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>
                                                          <div>But
                                                          wouldn't
                                                          Smith//Approval,
                                                          with approval
                                                          cutoffs in the
                                                          rankings,
                                                          share MDDTR's
burial-vullnerability?<br>
                                                          <br>
                                                          </div>
                                                          ...with,
                                                          additionally,
                                                          vulnerability
                                                          to truncation,
                                                          which MDDTR
                                                          _doesn't_
                                                          have?<br>
                                                          <br>
                                                          </div>
                                                          And
                                                          Smith//Approval
                                                          trades MDDTR's
                                                          FBC for Smith,
                                                          which I
                                                          consider an
                                                          unfavorable
                                                          trade.<br>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </blockquote>
                                                          <div><br>
                                                          </div>
                                                          </span>
                                                          <div>Perhaps
                                                          make
                                                          truncation the
                                                          default
                                                          approval
                                                          cutoff, but
                                                          let voters
                                                          move it higher
                                                          as an option:<br>
                                                          <br>
                                                          </div>
                                                          <div>45 C<br>
                                                          </div>
                                                          <div>30 A>B
                                                          or A>>B<br>
                                                          </div>
                                                          <div>25 B<br>
                                                          <br>
                                                          </div>
                                                          <div>Voting
                                                          A>>B
                                                          would be the
                                                          chicken
                                                          defense (where
                                                          sincere is 25
                                                          B>A).<br>
                                                          <br>
                                                          </div>
                                                          <div>Voting
                                                          A>B would
                                                          be the
                                                          truncation
                                                          defense (where
                                                          sincere is 45
                                                          C>B).<br>
                                                          <br>
                                                          </div>
                                                          <div>With this
                                                          option, MDDA
                                                          would be an
                                                          FBC compliant
                                                          method that is
                                                          truncation and
                                                          burial
                                                          resistant as
                                                          well as quasi
                                                          CD compliant.<br>
                                                          <br>
                                                          </div>
                                                          <div>Is there
                                                          a way to
                                                          modify MDDA to
                                                          make it
                                                          satisfy
                                                          mono-add-plump?<br>
                                                          <br>
                                                          </div>
                                                          <div>How about
                                                          incorporating
                                                          some form of
                                                          power
                                                          truncation. 
                                                          When you plump
                                                          X and reduce
                                                          the majority
                                                          victory of Y
                                                          over Z to a
                                                          sub-majority,
                                                          it would
                                                          revert to a
                                                          majority if
                                                          you counted
                                                          the common
                                                          truncation of
                                                          Y and Z
                                                          against each
                                                          other as even
                                                          half a point.<br>
                                                          <br>
                                                          </div>
                                                          <div>Btw, in
                                                          case you
                                                          didn't see it,
                                                          one of my new
                                                          favorite
                                                          non-FBC
                                                          methods is
                                                          Most Approved
                                                          Immune(MAI): 
                                                          Elect the most
                                                          approved
                                                          immune
                                                          candidate.<br>
                                                          <br>
                                                          </div>
                                                          <div>This
                                                          means elect
                                                          the most
                                                          approved
                                                          candidate X
                                                          that is
                                                          unbeaten
                                                          pairwise by
                                                          the candidate
                                                          that would win
                                                          (recursively)
                                                          if the method
                                                          were applied
                                                          to the same
                                                          ballot set
                                                          with X
                                                          disqualified
                                                          or withdrawn.<br>
                                                          <br>
                                                          </div>
                                                          <div>It is the
                                                          simplest
                                                          approval based
                                                          rank method
                                                          that confers
                                                          immunity from
                                                          second place
                                                          complaints on
                                                          its winners.<br>
                                                          <br>
                                                          </div>
                                                          <div>It is
                                                          quasi CD
                                                          compliant if
                                                          voters can
                                                          specify their
                                                          approval
                                                          cutoffs above
                                                          the truncation
                                                          level when
                                                          they want to.<br>
                                                          <br>
                                                          </div>
                                                          <div>A top
                                                          rank version
                                                          of this method
                                                          is fully CD
                                                          compliant:<br>
                                                          <br>
                                                          </div>
                                                          <div>Elect the
                                                          Most Top
                                                          Ranked Immune
                                                          candidate.
                                                          (MTRI)<br>
                                                          <br>
                                                          </div>
                                                          <div>In other
                                                          words elect
                                                          the most top
                                                          ranked
                                                          candidate X
                                                          that is
                                                          unbeaten
                                                          pairwise by
                                                          the candidate
                                                          that would win
                                                          (recursively)
                                                          if the method
                                                          were applied
                                                          to the same
                                                          ballot set
                                                          with X
                                                          disqualified
                                                          or withdrawn.<span
class="m_-5996776559525049224m_-5967753060088133619m_2209416936795919876m_-3518268541538704350m_7800393914769801655HOEnZb"><font
color="#888888"><br>
                                                          <br>
                                                          </font></span></div>
                                                          <span
class="m_-5996776559525049224m_-5967753060088133619m_2209416936795919876m_-3518268541538704350m_7800393914769801655HOEnZb"><font
color="#888888">
                                                          <div>Forest<br>
                                                          </div>
                                                          </font></span></div>
                                                          <br>
                                                          </div>
                                                          </div>
                                                          </blockquote>
                                                          </div>
                                                          <br>
                                                          </div>
                                                          </div>
                                                          </div>
                                                          </blockquote>
                                                          </div>
                                                          <br>
                                                          </div>
                                                          </div>
                                                        </div>
                                                      </blockquote>
                                                    </div>
                                                    <br>
                                                  </div>
                                                </div>
                                              </div>
                                            </blockquote>
                                          </div>
                                        </div>
                                      </div>
                                      <br>
                                    </div>
                                  </div>
                                </div>
                              </div>
                            </div>
                          </blockquote>
                        </div>
                        <br>
                      </div>
                      <p color="#000000" align="left"><br>
                      </p>
                    </blockquote>
                    <p><br>
                    </p>
                  </div>
                </div>
              </div>
            </blockquote>
          </div>
          <br>
        </div>
      </div>
      <p class="" avgcert""="" color="#000000" align="left">No virus
        found in this message.<br>
        Checked by AVG - <a moz-do-not-send="true"
          href="http://www.avg.com">www.avg.com</a><br>
        Version: 2016.0.7859 / Virus Database: 4664/13452 - Release
        Date: 11/21/16</p>
    </blockquote>
    <p><br>
    </p>
  </body>
</html>