Schulze: D>E 9 Bingo.

[Norman Petry]

Sorry Mike, but Schulze's method continues to elude your attempts to create
ties.

Using your newest example:

A>B 20
B>C 30
C>A 10
{A,B,C}>D 7
D>E 9
E>A 8
E>B 5
E>C 4

Analysis:

A>>B 20:10 (A>B vs. B>C>A)
A>>C 20:10 (A>B>C vs. C>A)
B>>C 30:10 (B>C vs. C>A>B)
D>>A 8:7 (D>E>A vs. A>D)
D>>B 8:7 (D>E>A>B vs. B>D)
D>>C 8:7 (D>E>A>B>C vs. C>D)
D>>E 9:7 (D>E vs. E>A>D)
E>>A 8:7 (E>A vs. A>D>E)
E>>B 8:7 (E>A>B vs. B>D>E)
E>>C 8:7 (E>A>B>C vs. C>D>E)

Schulze is again decisive, this time picking D.

(Pairwise Dropping also picks D.  At least we're strengthening the case that
PD is similar to Schulze!).


Norm Petry


-----Original Message-----
From: Mike Ositoff <ntk at netcom.com>
To: election-methods-list at eskimo.com <election-methods-list at eskimo.com>
Cc: ntk at netcom.com <ntk at netcom.com>
Date: August 9, 1998 4:13 PM
Subject: Schulze: D>E 9 Bingo.


>
>Now I believe I've finally written it right, an example where
>Schulze is indecisive. Of course I've believed that before too...
>
>Just change D>E 6 to D>E 9
>
>
>Mike
>