Dear folks,
there is another assumption in Arrow's theorem which people almost
always forget: Determinism. Methods which use some amount of chance can
easily meet all his other criteria, the most trivial example of this
being again Random Ballot (i.e. pick a ballot uniformly at random and
copy
On Tue, Nov 17, 2009 at 5:02 PM, Warren Smith warren@gmail.com wrote:
Kristofer Munsterhjelm asked me what proportional representation (PR) means.
At this time it is probably unwise to make a too-precise definition
since every PR voting method seems to obey a different proportionality
This seems to be an open question at present. But it might be pretty
easy to prove or disprove.
A multiwinner voting method obeys participation if an extra voter,
by voting honestly, cannot make the election result worse (in her
view) than if she had not voted.
(If you remove a winner and
Warren Smith wrote:
Kristofer Munsterhjelm asked me what proportional representation (PR) means.
At this time it is probably unwise to make a too-precise definition
since every PR voting method seems to obey a different proportionality
theorem. I say you should just assess each theorem on a
Here's a way to incorporate this idea for large groups:
Ballots are ordinal with approval cutoffs.
After the ballots are counted, list the candidates in order of approval.
Use just enough randomly chosen ballots to determine the Lull winner with 90%
confidence: let L(0) be the candidate with
At 01:03 PM 11/17/2009, Raph Frank wrote:
I am not sure referring to racism is a good plan :).
The word racist was used. A more politically correct term would be
factionally affiliated or factionally dedicated.
Something like
Any group representing more than N/M of the voters, where M is
At 01:08 PM 11/17/2009, Warren Smith wrote:
This seems to be an open question at present. But it might be pretty
easy to prove or disprove.
A multiwinner voting method obeys participation if an extra voter,
by voting honestly, cannot make the election result worse (in her
view) than if she had
Abd ul-Rahman Lomax wrote:
At 01:08 PM 11/17/2009, Warren Smith wrote:
It is fair if symmetric under permuting the candidates and voters.
Conjecture: there does not exist a fair multiwinner proportional
representation
voting method obeying participation.
I don't know how to apply fair. Can
