[EM] "Margin Sorted Minimum Losing Votes (equal rated whole)" candidate in poll

Chris Benham cbenhamau at yahoo.com.au
Fri Apr 12 02:05:12 PDT 2024


Joshua,

I am finding this pairwise matrix confusing and hard to understand.

Is there any chance we can see the original ballot set?

Chris Benham




> *Joshua Boehme*joshua.p.boehme at gmail.com 
> <mailto:election-methods%40lists.electorama.com?Subject=Re%3A%20%5BEM%5D%20%22Margin%20Sorted%20Minimum%20Losing%20Votes%20%28equal%20rated%20whole%29%22%0A%20candidate%20in%20poll&In-Reply-To=%3C14996a2d-f932-4966-91bb-318241c74e08%40gmail.com%3E>
> /Thu Apr 11 23:58:28 PDT 2024/
>
>
> ------------------------------------------------------------------------
> If I'm understanding this correctly, this method isn't always cloneproof. Consider the following pairwise matrix (entries are row candidate over column candidate)...
>
>       A   B   C   D   E
> A 500 525 485 485 485
> B 475 500 510 510 510
> C 515 490 500 550 350
> D 515 490 450 500 600
> E 515 490 650 400 500
>
> The initial ordering is:
>
>     A   B   D   E   C
> 485 475 450 400 350
>
> which is pairwise correct so we don't switch any candidates.
>
>
> If you drop D and E, which are clones of C, you get:
>
>     C   A   B
> 490 485 475
>
> which is also pairwise correct.


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