[EM] contd, your method proposals

[Markus Schulze]

Hallo,

Steve Eppley wrote (23 Feb 2000):
http://lists.electorama.com/htdig.cgi/election-methods-electorama.com/2000-February/003600.html

> I've been using a different criterion, which dispenses with
> the "absolute majority" requirement, and so is more general:
>
>    Beatpath Criterion (BC)
>    -----------------------
>    Let Vij denote the number of voters who ranked i ahead of j,
>    for any pair of alternatives i&j.
>
>    Let Bji denote the strength of the strongest beatpath
>    from j to i, for any pair of alternatives i&j.
>
>    If Vij > Vji and Vij > Bji then j must not finish ahead of i.
>
> The "ideal" majoritarian criterion, if it were not sometimes
> impossible to satisfy, is:
>
>    If Vij > Vji then j must not finish ahead of i.
>
> The Beatpath Criterion is possible to satisfy, and is not
> as overbroad (what Blake calls "restrictive") as what might be
> called the Schulze criterion (if Markus doesn't object to using
> his name this way):
>
>    If Bij > Bji then j must not finish ahead of i.

Markus Schulze