[EM] Resume: Proportional multi-winner ranked voting methods - guidelines?

[VoteFair]

Yes, "proportional multi-winner Condorcet" has no clear, unambiguous 
meaning beyond the criteria for identifying the winner of the first seat.

In the case of the full VoteFair ranking system, VoteFair popularity 
ranking -- which is mathematically equivalent to the Condorcet-Kemeny 
method -- is used to identify the most popular candidate (or party) 
after calculating the "remaining" influence of each ballot.  It produces 
results that are as proportional as desired.  Consequently it qualifies 
as a "proportional multi-winner Condorcet" method.

After I published the VoteFair ranking system, Markus Schulze published 
his "Schulze STV" method, which also fits within the "proportional 
multi-winner Condorcet" category.

Are there any other such methods?

Richard Fobes


On 6/2/2017 12:23 AM, Kristofer Munsterhjelm wrote:
> On 05/22/2017 08:18 PM, VoteFair wrote:
>> On 5/21/2017 7:10 PM, Armando wrote:
>>> Meanwhile I’ll be thankful for any advice of further readings if you
>>> have.
>>
>> You, and we, are exploring frontier territory, so there's not a lot of
>> formal writing about "proportional multi-winner Condorcet" methods
>> beyond what we've told you about.
>>
>> If you, or anyone, has specific questions about what I wrote regarding
>> this topic in "Ending The Hidden Unfairness In U.S. Elections", just ask.
>
> It's not even all that clear what "proportional multi-winner Condorcet"
> means, independent of actual implementations. The lower bar is "reduces
> to Condorcet when there's only one winner", but how could we generalize
> Condorcet beyond that point? Hard to tell.