[EM] Did someone say monotonicity? Or: Droop proportionality and monotonicity

Toby Pereira tdp201b at yahoo.co.uk
Tue Feb 4 02:25:38 PST 2020


 I feel compelled to point out that proportionality is not the same as Droop proportionality. Something can fail one particular "brand" of proportionality and still be proportional.
    On Tuesday, 4 February 2020, 07:48:49 GMT, Markus Schulze <markus.schulze8 at gmail.com> wrote:  
 
 Dear Kristofer,

your argumentation basically is: When some voters rank X higher,
then it is not possible that some other candidate Y becomes a
member of a solid coalition.

My argument basically is: When some voters rank X higher,
then it can happen that some other candidate Y who couldn't
be elected without violating Droop proportionality can now
be elected without violating Droop proportionality.
(In example 3 of my paper "On Dummett's 'Quota Borda System'" ,
X=B and Y=E.) Candidate Y can then kick candidate X out of
the winning set.

Markus Schulze
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