[EM] Election-Methods Digest, Vol 236, Issue 18

[Closed Limelike Curves]

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?)

On Mon, Mar 11, 2024 at 4:01 PM Closed Limelike Curves <
closed.limelike.curves at gmail.com> wrote:

> When I say "only one ballot," I mean only one ballot with *arbitrarily*
> many against. In other words, a candidate can be supported by 99.99...% of
> voters but still lose.
>
> Example is on Wikipedia
> <https://en.wikipedia.org/wiki/Highest_median_voting_rules#Archimedean_property>
> .
>
> On Mon, Mar 11, 2024 at 1:20 PM steve bosworth <stevebosworth at hotmail.com>
> wrote:
>
>>
>> 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.)"
>>
>> Please define the Archimediean property? Aim I mistaken to think
>> that every voting system (including Condorcet and MJ) could elect a
>> candidate if only one voter expressed their support for one of the
>> candidates?
>>
>> 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:
>>
>> >
>> > Today's Topics:
>> >
>> >    1. Re: Electing Cabinets/Executive Committees ? starting with MJ
>> >
>> > 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.
>>
>> ----
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>> info
>>
>
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