[EM] Poll on voting-systems, to inform voters in upcoming enactment-elections

[Chris Benham]

Joshua,

> In an A versus B comparison, since A's "winning votes" are the ones for A, A's "losing votes" would be the ones for B.
A's  ("winning" or "losing") votes are only votes for A.  In an A versus 
B comparison, the votes for A are "losing" if A loses that pairwise 
contest and "winning" if  A wins it.

The votes for B in that contest are not "A's losing votes".  It might be 
ok English to call them "A's *opposing* votes", but no-one mentioned 
anything like that.

> If B did *worse* against C (B beats C by less than 4), B becomes the winner under this method.

That would be an example of the failure of Mono-raise that I mentioned.  
The methods that all behave like MinMax when there are just 3 candidates 
all meet it.

BTW,  Gross Loser Elimination (or any Winning Votes method) can't 
function with only a "margin matrix".  The gross scores are needed.

Chris



> *Joshua Boehme*joshua.p.boehme at gmail.com 
> <mailto:election-methods%40lists.electorama.com?Subject=Re%3A%20%5BEM%5D%20Poll%20on%20voting-systems%2C%0A%20to%20inform%20voters%20in%20upcoming%20enactment-elections&In-Reply-To=%3C8516d62a-9f4a-4390-a5b8-8673bb1a9fbb%40gmail.com%3E>
> /Sat Apr 20 04:15:16 PDT 2024/
>
>
> ------------------------------------------------------------------------
> In an A versus B comparison, since A's "winning votes" are the ones for A, A's "losing votes" would be the ones for B. Eliminating the candidate with the worst pairwise defeat is completely unambiguous, though.
>
>
> Interestingly this doesn't always resolve a three-way cycle in the typical way (margin matrix is row candidate over column candidate)...
>
>      A  B  C
> A  0  2 -4
> B -2  0  6
> C  4 -6  0
>
> C gets eliminated, leaving A as the winner over B. Most methods would break A's weak win over B and make B the winner.
>
> If B did *worse* against C (B beats C by less than 4), B becomes the winner under this method.
>
>
> On 4/20/24 04:05, Chris Benham wrote:
> >//>/Joshua, />//>/The wording is correct and the English seems plain to me. />//>/You just keep eliminating the candidate that has (among remaining 
> candidates) the worst (as measured by losing votes) pairwise loss. />//>/49 A />/24 B />/27 C>B />//>/A>C 49-27,   C>B 27-24,   B>A 51>49/
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