[EM] Fw: IBCM, Tideman, Schulze
Markus Schulze
schulze at sol.physik.tu-berlin.de
Sun Jul 23 01:38:43 PDT 2000
Dear Mike,
you wrote (23 July 2000):
> That SSD definition has a natural & obvious motivation
> & justification that Schulze doesn't have. Both your
> definitions use beatpaths.
But the SSD definition uses Schwartz sets. And the definition
of Schwartz sets uses beat paths.
***
You wrote (23 July 2000):
> Markus wrote (22 July 2000):
> > Example:
> >
> > A:B=50:50
> > B:C=43:48
> > C:A=35:44
> >
> > SSD chooses candidate A decisively because candidate A is
> > the unique Schwartz winner.
>
> Correct.
I mentioned that example because once many active members of this
mailing list agreed that if there are only three candidates then
the winner should be the PC[va] winner and because in the example
above SSD doesn't choose the PC[va] winner (as far as I have
understood the definition of the PC[va] winner correctly).
***
You wrote (23 July 2000):
> Yes, and based on that, and on the translations that you quoted
> below, PC is the literal interpretation of Condorcet's words.
> SD, as you point out isn't the literal meaning, and neither is
> SSD.
To my opinion, it is problematic to talk about the "literal
interpretation of Condorcet's words." Condorcet neither defined
properly what the "elimination" of a pairwise comparison is
nor did he write what a "contradiction" is. Is A > B > C = A a
"contradiction" or is only A > B > C > A a "contradiction"?
Markus Schulze
schulze at sol.physik.tu-berlin.de
schulze at math.tu-berlin.de
markusschulze at planet-interkom.de
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