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

Markus Schulze markus.schulze8 at gmail.com
Mon Feb 3 11:48:48 PST 2020


Hallo,

 > Furthermore, no non-A candidate can get into a
 > solid coalition he wasn't in before, by a voter
 > raising A, unless that new solid coalition also
 > contains A.

My paper "On Dummett's 'Quota Borda System'" contains
an example showing this method violating monotonicity:

http://www.votingmatters.org.uk/ISSUE15/P3.HTM

In example 3 (original), the following sets can be
chosen according to Droop proportionality:

AD
BD
CD

Suppose one voter ranks B higher then, in example
3 (modified), the following sets can be chosen
according to Droop proportionality:

AC
AD
BC
BD
CD
CE

Markus Schulze



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