[EM] Searching for references

[Kristofer Munsterhjelm]

On 02/22/2018 09:00 PM, Stéphane Rouillon wrote:
> Hi,
> 
> I do not know if Forest Simmons or Rob Lanphier are still active on this list, however it should be the best place to find some help.
> I am searching for specific references:
> 1) a site with 5 single-winner methods that lead to 5 different winners (from a personal website of a university teacher, Syracuse maybe),

RangeVoting's 6-methods-6-answers page 
http://rangevoting.org/PuzzKjqAns2.html references one Joe Malkevitch. 
Some more searching leads to 
http://www.jdawiseman.com/papers/electsys/conundrum.html and then to 
https://www.york.cuny.edu/~malk/tidbits/tidbit-elections.html (note, 
unusual notation).

> 2) typical references for approval, Concorcet, range and median single-winner methods.

Here are some, not exhaustive a list:

Median: Majority judgement: https://www.jstor.org/stable/j.ctt5hhhg1

Approval voting: 
https://www.cambridge.org/core/journals/american-political-science-review/article/approval-voting/7CE5DEEE235794B0B12F76ADAE621482

Condorcet: the Schulze method: 
https://link.springer.com/article/10.1007/s00355-010-0475-4 or 
http://m-schulze.9mail.de/schulze1.pdf

Condorcet: Ranked Pairs (margins), also defines independence from 
clones: https://link.springer.com/article/10.1007/BF00433944

Condorcet: Maximize Affirmed Majorities (Ranked Pairs/wv): 
http://alumnus.caltech.edu/~seppley/

Condorcet: Kemeny: 
https://www.jstor.org/stable/20026529?seq=1#page_scan_tab_contents

Condorcet: Kemeny is NP-hard: 
https://www.sciencedirect.com/science/article/pii/S0304397505005785

Condorcet: Strategy resistant Condorcet-IRV hybrids: 
https://scholar.google.com/scholar?cluster=12954393981869601543

An Introduction to Vote-Counting Schemes: 
https://www.aeaweb.org/articles?id=10.1257/jep.9.1.3
	gives short descriptions of Plurality, SNTV, Approval, top-two runoff, 
STV, Coombs, Borda (based on the pairwise matrix), Copeland, a method 
called Minimum Violations, Ranked Pairs, Minmax, Kemeny, 
Keener/Kendall-Wei (eigenvalue/pagerank), and a method called the Jech 
method.

> 3) typical literature reference for the latest attempts to generalize each of these to multi-winner proportional methods.

And some of these:

The Quota Borda system: https://philpapers.org/rec/DUMVP-2

Lots of STV variants, ends by explaining CPO-STV: 
https://www.aeaweb.org/articles?id=10.1257/jep.9.1.27

CPO-STV in greater detail: 
https://link.springer.com/article/10.1023%2FA%3A1005082925477

Phragmén and Thiele methods (multiwinner approval and a ranked version 
used in Sweden): https://arxiv.org/abs/1611.08826

More on Phragmén and Thiele: 
https://aaai.org/ocs/index.php/AAAI/AAAI17/paper/view/14757
	Includes references to 1890s papers by the two.

Minimax approval (consensus multiwinner method): 
https://link.springer.com/article/10.1007/s11127-007-9165-x or 
https://hal.inria.fr/docs/00/11/90/26/PDF/AN6LAMSADE_77-104.pdf

Schulze STV: http://m-schulze.9mail.de/schulze2.pdf see citations for 
Schulze's out of journal work at 
https://scholar.google.com/citations?user=wGVUJ7sAAAAJ

Schulze's STV-MMP proposal: http://m-schulze.9mail.de/schulze4.pdf (see 
above for cites)

I'm not aware of any published papers generalizing MJ/Bucklin to 
multiwinner, or any mentioning proportional/reweighted range voting.