[EM] My CTE post to EM

C.Benham cbenham at adam.com.au
Sun Oct 8 15:33:53 PDT 2023


Michael,

> What if there are more candidates? What if there’s an additional Bus?

What in your terminology, in this context, is a "Bus"?

> An optional added rule could specify that the 1st elimination is of 
> whichever of the 2 candidates with worst base-method count-score is 
> pair-beaten by the other.

That doesn't make any difference in the example I gave.

Chris

On 9/10/2023 8:13 am, Michael Ossipoff wrote:
> Oops!! I think I list-replied to an individual e-mail. I appreciate 
> the consideration, not posting a proposal-debunk, but I don’t consider 
> the proposal debunked.
>
> Anyway, I’d mistakenly assumed that I was replying to a posting, but 
> now that I’ve sent my reply to the list, I might as well leave it 
> there, when there’s more to add.
>
> Even if randomness determines which of the 3 candidates gets 
> eliminated 1st, there’s a 2/3 probability that BF loses.
>
> …backfire is equally likely as success.
>
> But it isn’t random:
>
> You’ve insincerely  bottom-ranked CW.
>
> …thereby increasing hir probability of being the 1st eliminated.
>
> …&, with 3 candidates, you’ve upranked Bus from bottom, decreasing hir 
> chance of being 1st eliminated.
>
> An optional added rule could specify that the 1st elimination is of 
> whichever of the 2 candidates with worst base-method count-score is 
> pair-beaten by the other.
>
> What if there are more candidates? What if there’s an additional Bus?
>
> Then BF loses, no matter who is eliminated.
>
> That’s fact obtains when there are more than 1 Bus, but no candidates 
> who aren’t CW, BF or a Bus.
>
> I’ll collectively refer to CW, BF & Bus(es) as “the principals”.
>
> Any candidates who aren’t  principals, I  refer to as “other candidates”.
>
> If there’s an other candidate who pair-beats the Bus, & gets 
> eliminated 1st, of course that takes down the Bus. But the same thing 
> could happen to any one of the principals.
>
> The possibility the takedown of a principal by 1st elimination of an 
> other somewhat dilutes the greater likelihood of CW being the 1st 
> eliminated principal, & of Bus not being the 1st eliminated principal.
>
> Because of the burial-thwarting effect of having more than 1 Bus, 
> then, with many candidates, the buriers have the problem of burying CW 
> to make the strategic cycle, without creating more than 1 Bus.
>
> Could the buriers get lucky & succeed? Sure.
>
> But then you’re raising the philosophical question:
>
> If a strategy doesn’t have a positive result-change expectation, is it 
> really a strategy?
>
> Michael Ossipoff
>
>
>
> On Sun, Oct 8, 2023 at 01:14 Michael Ossipoff <email9648742 at gmail.com> 
> wrote:
>
>     There’s good reason to choose Coombs as the “base-method”, the
>     elimination-method to which to apply CT-.
>
>     The use of Coombs maximizes the lowering of the base-method
>     count-score for the buried CW.  (We haven’t discussed fractional
>     vs whole, but my first impression is that whole would best deter &
>     thwart burial.)
>
>
>     …making the CW more likely to get eliminated 1st.  …thereby
>     taking-down the buriers’ favorite (BF), & electing the less-liked
>     candidate whom under whom the buriers buried CW.
>
>     (Let’s call that candidate “Bus”, because the buriers are throwing
>     CW under the bus.)
>
>     That wasn’t the scenario in your example, but BF still lost.
>
>     When there’s only one Bus, which of course is the case in all
>     3-candidate cases, then whether or not BF wins, & the burial
>     succeeds, depends on who is eliminated 1st.
>
>      Could there be a 1-Bus example in which Bus gets eliminated 1st,
>     thereby taking down CW & electing BF? Yes, but, with Coombs as
>     base-method, the burial of CW is particularly likely to give CW
>     the worst base-method count-score.  …& thereby the  1st
>     elimination.  …thereby taking down BF & electing Bus.
>
>     So the burial is likely deterred, unless the buriers have very
>     detailed & reliable predictive information.
>
>     I’m not a fan of LNHa, but when speaking of advantages of STE
>     (Successive Topcount Elimination), one of course mentions LNHa
>     among them.
>
>     But, though we need rank-balloting, & STE is a rank-method, &
>     obviously people who enact STE don’t want or intend to bury their
>     favorite under a disgusting lesser evil, & though I’d accept STE’s
>     top-end defensive strategy-need in order for people to have rank
>     balloting so that they won’t elect despicable POS lesser evils…
>
>     …I’m not going to defend STE anymore…or vote for its enactment…or
>     participate in its enactment campaign…
>
>     …because we do such things for principle…
>
>     …&, if principle means anything, we don’t condone lying & dishonesty.
>
>     FairVote is still using the lie that STE don’t have a spoiler problem.
>
>     …using that lie not only with voters, but also to get money from
>     donors.
>
>     I couldn’t bring myself to help that lie-based project or its
>     proposal.
>
>     Did you know that FairVote is claiming that it’s Condorcet that
>     has the spoiler problem?
>
>     I guess, to borrow from a famous statement, that proves that
>     there’s no such thing as an unutterably blatant lie.
>
>     So, as I said, I won’t defend STE or in any way support its
>     enactment campaigns.
>
>
>
>     On Sat, Oct 7, 2023 at 23:16 C.Benham <cbenham at adam.com.au> wrote:
>
>
>         Michael,
>
>>         ... there's no offensive strategy for changing the winner from the CW
>>         to one's own favorite,
>
>         Say sincere is
>
>         46 A
>         44 B
>         10 C
>
>         A is the CW (as well as being every other type of winner).
>
>         Now suppose the B voters all decide to bury against A by
>         ranking C second:
>
>         46 A
>         44 B>C
>         10 C
>
>         Now  C has the lowest Borda score and the lowest "top count",
>         so if we are using
>         IRV/RCV or Baldwin  C is eliminated, "taking down" A and
>         leaving B elected.
>
>         The "offensive strategy" has succeeded. This is the same
>         outrageous failure of
>         the Later-no-Help and Plurality criteria that we see with Margins.
>
>         I'm not clear how Coombs (or your preferred version of it)
>         handles truncation.
>
>         Is the "bottom count" Fractional (in other words based on the
>         symmetrically completed ballots)
>         or Whole (so that truncated ballots give a whole vote to each
>         of the bottom-counts of the truncated
>         candidates)?
>
>         In this case neither version eliminates C, but I'd be
>         surprised if examples couldn't be made of
>         them also failing those criteria.
>
>         You implied that you are a fan of Later-no-Harm.  If that is
>         the case I don't think you will find a better
>         method than plain IRV/RCV
>
>         Chris B.
>
>>         Here are 3 elimination-methods that eliminate 1 candidate at a time:
>>
>>>>
>>         RCV/IRV:  Eliminates lowest topcount
>>
>>>>
>>         Coombs: Eliminates highest bottomcount
>>
>>>>
>>         Baldwin; Eliminates lowest Borda-score.
>>
>>>>
>>         Any one of those can be the “base-method” .
>
>
>
>
>
>>         *Michael Ossipoff*email9648742 at gmail.com
>>         <mailto:election-methods%40lists.electorama.com?Subject=Re%3A%20%5BEM%5D%20My%20CTE%20post%20to%20EM&In-Reply-To=%3CCAOKDY5CU-zc3Y%3DC%3DrFWagy3zVw5Px6KPaULqW89gHdxshRZh8A%40mail.gmail.com%3E>
>>         /Fri Oct 6 14:33:40 PDT 2023/
>>
>>
>>         ------------------------------------------------------------------------
>>           When I said:
>>
>>         "There’s no offensive strategy for changing the CW to one’s own favorite."
>>
>>         I meant, there's no offensive strategy for changing the winner from the CW
>>         to one's own favorite.
>>
>>         On Fri, Oct 6, 2023 at 5:21 PM Michael Ossipoff <email9648742 at gmail.com  <http://lists.electorama.com/listinfo.cgi/election-methods-electorama.com>>
>>         wrote:
>>
>>         >/Name of Method: />//>/… />//>/CW,Takedown-Elimination (CTE) />//>/… />//>/or />//>/… />//>/Simmons-Ossipoff Method />//>/… />//>/Okay yes, I like the 2nd one. />//>/… />//>/It adds an enhancement to any of several already-existing />/elimination-methods. />//>/… />//>/Here are 3 elimination-methods that eliminate 1 candidate at
>>         a time: />//>/… />//>/RCV/IRV: Eliminates lowest topcount />//>/… />//>/Coombs: Eliminates highest bottomcount />//>/… />//>/Baldwin; Eliminates lowest Borda-score. />//>/… />//>/Any one of those can be the “base-method” . />//>/… />//>/Method rule: />//>/… />//>/Ranked balloting. Equal-rankng & truncation allowed. />//>/… />//>/1) Check for a CW & elect hir. />//>/… />//>/2) If none, do the base-method. />//>/… />//>/3) During the doing of the base-method: />//>/… />//>/When the base-method’s rule eliminates a candidate,
>>         eliminate additionally />/anyone who is pair-beaten by that candidate. …& additionally
>>         any />/candidate beaten by that 2nd candidate. />//>/… />//>/That’s takedown & secondary takedown. />//>/… />//>/4) If anyone becomes un-pairbeaten due to elimination of who
>>         beats hir, />/s/he wins. />//>/… />//>/5) Continue till only one candidate remains uneliminated. />//>/… />//>/[end of count-rule definition] />//>/… />//>/Though it was Forest who introduced the unprecedentedly
>>         gamechanging />/Takedown, & applied it to Coombs & Baldwin, the bombast in
>>         this post is all />/mine. />//>/… />//>/Obviously a CW wins if voting is sincere. />//>/… />//>/There’s no offensive strategy for changing the CW to one’s
>>         own favorite. />//>/… />//>/There’s no need for defensive strategy to protect the win of
>>         a CW. />//>/… />//>/While MinMax(wv), Schulze, RP(wv) & Smith//MinMax(wv)
>>         require defensive />/truncation to deter burial strategy against the CW, the
>>         above-defined />/method requires no such defensive strategy, & voters can
>>         rank all the way />/down to the bottom if they want to. />//>//>/PS. I added a statement that, for the purposes of takedown &
>>         secondary />/takedown, "pair-beaten" should probably mean "pairbeaten
>>         according to the />/rankings before any eliminations." />//>/… />//>/Michael Ossipoff/
>
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