[EM] Some thoughts on Smith and monotonicity

Markus Schulze Markus.Schulze at alumni.TU-Berlin.DE
Mon Dec 4 02:48:21 PST 2017


Hallo,

> Suppose X is a monotone method. Then Smith,X and
> Smith//X are monotone methods.

For example, Smith//Borda violates monotonicity
because it can happen that, by ranking candidate A higher,
some other candidate B is kicked out of the Smith set so
that, after re-calculating the Borda scores, candidate A
is worse off.

Markus Schulze




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