On Aug 28, 2009, at 10:40 PM, Kristofer Munsterhjelm wrote:
Markus Schulze wrote:
Hallo,
I would explain proportional representaion
by the single transferable vote as follows:
1) Each voter gets a complete list of all
candidates and ranks these candidates in
order of preference.
2) Suppose M is the number of seats and
V is the number of votes. If there is a
set of X candidates such that strictly more
than (Y*V)/(M+1) votes strictly prefer
each candidate of this set to each candidate
outside this set, then at least min{X,Y}
candidates of this set must be elected.
Isn't that true of all methods that obey the Droop proportionality
criterion (including your own STV variant, which does not transfer
any ballots)?
It's also true of QPQ.
DPC is certainly crucial to any PR method, but it doesn't capture the
difference between STV and other methods that satisfy DPC. Nor does it
address the question of election profiles that don't have M solid
coalitions.
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