[EM] New Thread: Needless voting disappointments
Richard Lung
voting at ukscientists.com
Tue Mar 19 02:29:54 PDT 2024
Hello Steve,
"about 50% of the voters are disappointed when using plurality voting,
and over 10% are disappointed when using STV or CPO-STV."
This is about right but it would be false of the original Hare system,
making one constituency of the nation. And it did not mean the voters
would have to make 500 or so preferences. There would be enough variety
in the modest number of preferences made by each voter, to ensure
extreme proportionality of the sort envisioned by this writer. The only
qualification, and an important one, is that society has a pluralist
rather than a monolithic media.
(Some reformers tagged Condorcet pairing onto STV. I remember that Dr
Hill used a Condorcet pairing supplement to decide a final run-off
between runners up.)
With regard to grading candidates, in my opinion, this is a step
backward from ordinal voting. From the point of view of scales of
measurement, the classificatory scale is more primitive and less
accurate than the ordinal scale.
Cardinal numbers are more powerful than ordinal numbers. But that is why
the vote also has a count, and is not a reason for abolishing the
ordinal vote, determining the preferential sequence of the count, (as in
the Cumulative vote family of election systems).
Regards,
Richard Lung.
On 19/03/2024 04:49, steve bosworth wrote:
>
> *
> *
>
> *Needless disappointments result from electing legislative bodies
> using plurality, STV, or CPO-STV*
>
>
> Structurally, different portions of all the voters fail to help elect
> their favored candidate for a legislative body. For example, when
> electing a seven-member city council; about 50% of the voters are
> disappointed when using plurality voting, and over 10% are
> disappointed when using STV or CPO-STV. However, all these
> disappointments are needless because a new and better way of voting
> guarantees that _every voter_ is most likely to see one of the elected
> members as representing their hopes and concerns. This system is
> called evaluative-proportional representation (EPR):
> /https://www.jpolrisk.com/legislatures-elected-by-evaluative-proportional-representation-epr-an-
> <https://www.jpolrisk.com/legislatures-elected-by-evaluative-proportional-representation-epr-an-algorithm-v3/>algorithm-v3/
> <https://www.jpolrisk.com/legislatures-elected-by-evaluative-proportional-representation-epr-an-algorithm-v3/>//./
>
> Each EPR ballot invites the voter to grade the suitability for office
> of at least one of the candidates as either Excellent, Very Good,
> Good, or Acceptable. Voters can grade as many of the candidates as
> they want, and give the same grade to more than one candidate.
>
> All these grades are counted to assure each voter that their one vote
> is add to the total of the elected candidate who received their
> highest available grade.
>
> What do you think of the arguments detailed in the above link?
>
>
>
>
> ------------------------------------------------------------------------
> *From:* Election-Methods
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> Today's Topics:
>
> 1. Electing Cabinets, starting by using MJ: Election-Methods
> Digest, Vol 236, Issue 18 (steve bosworth)
>
>
> ----------------------------------------------------------------------
>
> Message: 1
> Date: Thu, 14 Mar 2024 04:40:16 +0000
> From: steve bosworth <stevebosworth at hotmail.com>
> To: "election-methods at lists.electorama.com"
> <election-methods at lists.electorama.com>
> Subject: [EM] Electing Cabinets, starting by using MJ:
> Election-Methods Digest, Vol 236, Issue 18
> Message-ID:
> <DBAP195MB09225D904967554FD76DB43BB62B2 at DBAP195MB0922.EURP195.PROD.OUTLOOK.COM>
>
> Content-Type: text/plain; charset="windows-1252"
>
>
> Today's Topics:
> Re: Electing Cabinets, starting by using MJ to elect a provisional
> prime minister
> Stephen: The following responds to the two responses from
> Limelike.curves also copied below, in addition to a copy of my first
> suggestions, bellow.
>
> Thank you Limelike for the Wikipedia link to the following example and
> information:
>
> "Highest median rules violate the Archimedean
> property<https://en.wikipedia.org/wiki/Archimedean_property
> <https://en.wikipedia.org/wiki/Archimedean_property>> (a much weaker
> form of the majority
> criterion<https://en.wikipedia.org/wiki/Majority_criterion
> <https://en.wikipedia.org/wiki/Majority_criterion>>). As shown below,
> it is possible for Alice<https://en.wikipedia.org/wiki/Alice_and_Bob
> <https://en.wikipedia.org/wiki/Alice_and_Bob>> to defeat
> Bob<https://en.wikipedia.org/wiki/Alice_and_Bob
> <https://en.wikipedia.org/wiki/Alice_and_Bob>> in an election, even if
> only one voter thinks Bob is better than Alice, and a very large
> number of voters (up to 100% of them) give Alice a higher rating.
>
> Ballots (Bolded medians)
>
> # ballots
>
> Alice
>
> Bob
>
> Charlie
>
> Many<https://en.wikipedia.org/wiki/Arbitrarily_large
> <https://en.wikipedia.org/wiki/Arbitrarily_large>>
>
> 100/100
>
> 52/100
>
> 0/100
>
> 1
>
> 50/100
>
> 51/100
>
> 1/100
>
> Many<https://en.wikipedia.org/wiki/Arbitrarily_large
> <https://en.wikipedia.org/wiki/Arbitrarily_large>>
>
> 49/100
>
> 0/100
>
> 100/100
>
> In this election, Bob has the highest median score (51) and defeats
> Alice, even though every voter except for one (perhaps Bob himself)
> thinks Alice is a better candidate. This is true no matter how many
> voters there are. As a result, even a single voter's weak preferences
> can override the strong preferences of the rest of the electorate.
>
> The above example restricted to candidates Alice and Bob also serves
> as an example of highest median rules failing the majority
> criterion<https://en.wikipedia.org/wiki/Majority_criterion
> <https://en.wikipedia.org/wiki/Majority_criterion>>, although highest
> medians can pass the majority criterion with normalized ballots (i.e.
> ballots scaled to use the whole 0-100 range). However, normalization
> still cannot recover the Archimedean criterion.?
>
> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>
> Correct me if I?m mistaken: Belinski?s way of breaking ties avoids the
> use of the infinitesimals as addressed by the Archimedean
> property<https://en.wikipedia.org/wiki/Archimedean_property
> <https://en.wikipedia.org/wiki/Archimedean_property>> as presented in
> Wikipedia.
>
> At the same time, Belinski?s use of adding and subtracting whole
> numbers, alone, to discover the median winner makes it much easier for
> ordinary votes to understand the MJ count than to understand the
> details of any Condorcet count. Also, Belinski?s grades are much more
> expressive than Condorcet?s preferences. In addition, MJ allows voter
> to give the same grade to more than one candidate.
>
> Secondly, we seem to understand the majority
> criterion<https://en.wikipedia.org/wiki/Majority_criterion
> <https://en.wikipedia.org/wiki/Majority_criterion>> differently.
> Initially, both Alice and Bob (and each candidate) received the same
> total number of grades (see below). Ordering all the grades received
> by each candidate from highest to lowest, we initially discover that
> Alice and Bob have the same median grade. In order to break this tie
> using Belinski?s method, one grade having the same value as this
> median grade is temporarily removed from each of their lists of grades
> repeatedly until one of them is seen to have the highest median grade.
> This will be Bob in this example. Bob?s majority is determined by a
> higher median grade than received by Alice, and that is why he is
> elected. One voter judged him to be more suitable for office.
>
> At the same time, I accept that it would be hard objectively to claim
> that either Bob or Alice would be most suitable for the office. I also
> accept that Alice has a higher average. At the same time, I agree with
> Belinski?s wider argument that averaging all the grades is less
> informative for an active democracy because averaging is more likely
> to prompt voters not to vote honestly -- to exaggerate their grades:
> perhaps, only to give Excellent to the one or several candidates they
> judge only to be Acceptable, and then, indiscriminately to Reject the
> rest.
>
> To the extent that such less than truthful voting occurs, both the
> public and any analysts are deprived of the much richer data-base and
> education that Belinski?s MJ count otherwise enables its post-election
> reports to supply. Carefully analyzed, these reports would enable
> commentators to report on the comprehensive snapshot of the number and
> intensity of support that every candidate seems to have received, and
> similarly, the number and intensity with which many of the contentious
> issues in the relevant society are being supported or opposed. This
> information would seem to help strength any democracy.
>
> What do you think?
>
> Stephen
>
> ________________________________
> From: steve bosworth <stevebosworth at hotmail.com>
> Sent: Monday, March 11, 2024 1:13 PM
> To: election-methods at lists.electorama.com
> <election-methods at lists.electorama.com>
> Subject: Re: Election-Methods Digest, Vol 236, Issue 18
>
>
> Today's Topics:
> Re: Electing Cabinets, starting by using MJ to elect a provisional
> prime minister
> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
> > > On 03/11/2024 11:22 PM EDT Closed Limelike Curves <
> > closed.limelike.curves at gmail.com> wrote:
> > >
> > > I wonder if what we really want is to take pairwise differences in
> > scores, then calculate the median difference for each pair of
> candidates.
> > That might give you a system that behaves like Condorcet but still
> accounts
> > for intensity of preferences. (Is that a thing?)
> > >
> > Do you actually think that in a competitive partisan political election
> > where voters have a stake in the outcome, want to prevail
> politically, and
> > vote by secret ballot that they would mark their ballots honestly about
> > intensity of preference?
> >
> > "My system is only intended for honest men." Jean-Charles de Borda
> >
> > r b-j . _ . _ . _ . _ rbj at audioimagination.com
> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
> Date: Sun, 10 Mar 2024 23:54:34 -0700
> From: Closed Limelike Curves <closed.limelike.curves at gmail.com>
> To: steve bosworth <stevebosworth at hotmail.com
> In response to my suggestion that MJ be used to election a provisional
> prime minister,
> Limelike Currves wrote:I
> >"I think a Condorcet method would be most likely to do that (since it
> >maximizes the chances that the elected candidate will have majority
> >support). Majority Judgment can actually do arbitrarily badly at this--a
> >candidate can win even if only one voter supports them. (It lacks the
> >Archimedean property.)"
>
> Stephen: At the same time, MJ's grades are more expressive than
> Condorcet's preferences. Grades allow each voter more informatively to
> express their different judgments about the suitability for office of
> as many of the candidates they want.
>
> Also, I think it is MJ that maximizes the chances for the winner to be
> elected by a majority of all the ballots cast. This majority is
> discovered by comparing all the grades given to all the candidates by
> all the ballots cast. The one candidate who is found to continue to
> have received the highest median grade is supported by this majority.
> What do you think?
> Stephen
>
> On Sat, Mar 9, 2024 at 12:52?PM steve bosworth <stevebosworth at hotmail.com>
> wrote:
>
> > 3/9/2024
> > From: stevebosworth at hotmail.com
> >
> > What do you think of using Majority Judgment to elect the provisional
> > prime minister.
> > As a result, this winner would have received the largest number of
> highest
> > grades regarding their suitability for this office? This number
> would also
> > be a majority of all the votes in the elected parliament. Such a winner
> > would seem to be the one most likely to be able to negotiate the
> formation
> > of a unified cabinet that would receive the needed majority vote of
> > confidence.
>
>
> ________________________________
> From: steve bosworth <stevebosworth at hotmail.com>
> Sent: Monday, March 11, 2024 1:13 PM
> To: election-methods at lists.electorama.com
> <election-methods at lists.electorama.com>
> Subject: Re: Election-Methods Digest, Vol 236, Issue 18
>
> Today's Topics:
> Re: Electing Cabinets, starting by using MJ to elect a provisional
> prime minister
>
> Message: 1
> Date: Sun, 10 Mar 2024 23:54:34 -0700
> From: Closed Limelike Curves <closed.limelike.curves at gmail.com>
> To: steve bosworth <stevebosworth at hotmail.com
> In response to my suggestion that MJ be used to election a provisional
> prime minister,
> Limelike Currves wrote:I
> >"I think a Condorcet method would be most likely to do that (since it
> > maximizes the chances that the elected candidate will have majority
> >support). Majority Judgment can actually do arbitrarily badly at this--a
> >candidate can win even if only one voter supports them. (It lacks the
> >Archimedean property.)"
> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>
> Stephen: At the same time, MJ's grades are more expressive than
> Condorcet's preferences. Grades allow each voter more informatively to
> express their different judgments about the suitability for office of
> as many of the candidates they want.
>
> Also, I think it is MJ that maximizes the chances for the winner to be
> elected by a majority of all the ballots cast. This majority is
> discovered by comparing all the grades given to all the candidates by
> all the ballots cast. The one candidate who is found to continue to
> have received the highest median grade is supported by this majority.
> What do you think?
> Stephen
> >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>
>
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