[EM] MAM vs Schulze

[C.Benham]

Marcus,

> Barry Wright writes: "[In the 3-candidate case] Least Worst
> Defeat and Schulze [are] disagreeing on only three elections
> per thousand."

In the 3-candidate case, how can "Least Worst Defeat" (aka MinMax ?) and 
Schulze *ever* disagree?

As I understand it, Schulze and MAM  and  River and Smith//MinMax can 
only ever give different winners when
there are more than three candidates in the Smith set.

That chance of that happening in a real public election is close enough 
to zero, so therefore "MAM versus Shulze"
strikes me as pointless.

And if it didn't I wouldn't find the argument that one's winner pairwise 
beats the other's a small proportion  of times more
than vice versa very compelling.

Chris Benham


On 10/6/2016 4:43 AM, Markus Schulze wrote:
> Hallo,
>
> on the other side, the simulations have also shown that
> the worst pairwise defeat of the Schulze winner is usually
> weaker than the worst defeat of the MAM winner.
>
> Norman Petry writes: "Schulze and Smith//PC are in agreement
> on the choice of winner over 90% of the time, regardless of
> the size of the Smith set, whereas Tideman's method diverges
> in its choices as the size of the Smith set increases."
>
> http://lists.electorama.com/pipermail/election-methods-electorama.com/2000-November/069868.html 
>
> https://www.mail-archive.com/election-methods-list@eskimo.com/msg02310.html 
>
> https://groups.yahoo.com/neo/groups/election-methods-list/conversations/topics/5948 
>
>
> Jobst Heitzig writes: "Note that Beatpath and Plain Condorcet
> are unanimous in all these examples!"
>
> http://lists.electorama.com/pipermail/election-methods-electorama.com/2004-May/078166.html 
>
> https://groups.yahoo.com/neo/groups/election-methods-list/conversations/messages/14251 
>
>
> Barry Wright writes: "[In the 3-candidate case] Least Worst
> Defeat and Schulze [are] disagreeing on only three elections
> per thousand." "We do notice that Least Worst Defeat and
> Schulze continue to show a very coherent response, agreeing
> in nearly ninety-nine percent of all elections through
> seven candidates."
>
> https://services.math.duke.edu/~bray/Courses/49s-GTD/Senior%20Theses/Barry%20Wright/Barry%20Wright's%20Thesis.pdf 
>
>
> Markus Schulze
>
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