Seems to be a strange hybrid of ranked Bucklin and IRV-like elimination. I would need more time to process it fully, but at first blush, I don't think your "proof" that it's monotonic holds up. Raising a candidate means lowering some other candidate; eliminating that other candidate can change other ballots; and that could lead to the raised candidate being eliminated. Haven't come up with an example, but you certainly seem to have left this possibility out of your proof. I further suspect that if monotonicity breaks down, then IIA almost certainly will as well.
In general, your method is a ranked one, so it's unproblematically subject to Arrow's limitations. If it meets IIA, which other Arrow criterion does it fail? Jameson ps. when it comes to methods with incredibly awesome properties<http://en.wikipedia.org/wiki/User:Homunq>that are too new to even merit a wikipedia page... why not stay with SODA voting<http://wiki.electorama.com/wiki/SODA_voting_(Simple_Optionally-Delegated_Approval)>:) 2012/6/8 Nicholas Buckner <[email protected]> > Hello, > > I am Nicholas Buckner. I developed an alternative method that takes > the Independence of Irrelevant Alternatives path over the Condorcet > path. It handles single-winner elections and multiple-winner > elections. I believe it satisfies a great number of criterions, > including difficult ones like Clone Independence and Participation. > > I include C++ source code of a program that reads csv files so that > many can easily test my method. First column for votes, second column > for first preferences, third column for second preferences, and so on. > 0 for no-preference, 1 for Candidate 1, 2 for Candidate 2, and so on. > Reads a file called A.csv in the same directory as the compiled > program. > > Here is a link to the 11-page proposal (7 pages are source code): > https://www.smashwords.com/books/view/169095 > The pdf version leaves the data tables intact the most. > > Any help verifying it would be appreciated, > Nicholas Buckner > ---- > Election-Methods mailing list - see http://electorama.com/em for list info >
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