[EM] Fw: IBCM, Tideman, Schulze

[Markus Schulze]

Dear Mike,

you wrote (http://www.egroups.com/message/election-methods-list/5432):
> I'm only talking about committees & meetings because, as I said,
> SD, SSD, & Schulze choose the same winner under many-voter
> conditions.

The following example demonstrates that even under many-voter
conditions SD, SSD and Schulze can choose different winners:

   A:B=34:66
   A:C=64:36
   A:D=46:54
   A:E=49:51
   A:F=63:37
   B:C=35:65
   B:D=45:55
   B:E=48:52
   B:F=43:57
   C:D=44:56
   C:E=47:53
   C:F=42:58
   D:E=40:60
   D:F=62:38
   E:F=39:61

The pairwise matrix doesn't contain identical elements.
If SD is used then candidate D wins decisively. If SSD
or Schulze is used then candidate C wins decisively.

Markus Schulze
schulze at sol.physik.tu-berlin.de
schulze at math.tu-berlin.de
markusschulze at planet-interkom.de