[EM] Tideman and GMC
David Catchpole
s349436 at student.uq.edu.au
Sat Jan 29 19:16:47 PST 2000
On Sun, 30 Jan 2000, Markus Schulze wrote:
> The exact mathematical formulation of beat path GMC looks as follows:
>
> "X >> Y" means that an absolute majority of the voters
> strictly prefers candidate X to candidate Y.
> "There is a majority beat path from X to Y" means that
> (1) X >> Y or
> (2) there is a set of candidates C[1],...,C[n] with
> X >> C[1] >> ... >> C[n] >> Y.
>
> If there is a majority beat path from candidate A to
> candidate B and no majority beat path from candidate B
> to candidate A, then candidate B must not be elected.
Can someone refresh my memory- where a candidate A has a majority beat
path to candidate B and B has a majority beat path to A, does this imply,
or not imply, that a candidate C exists such that A>>B, B>>C, C>>A or
B>>A, A>>C, C>>A? I suspect it does, but I may be wrong...
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