Talk:Distributed Score Voting

Revision as of 09:56, 8 February 2020 by Kristomun (talk | contribs)

On your criteria table, you say that DSV passes the participation criterion while failing the consistency criterion. These two criteria are mathematically equivalent in single winner elections so if your method fails consistency it must also fail participation. Condorcet methods are also incompatible with the participation, favorite betrayal, and IIA criteria, thus DSS must fail favorite betrayal and IIA as well. I'm not sure about some of the other criteria that you claim DSV passes, though the number of criteria that you got wrong already puts into question the validity of the entire table.

Could you give me a reference to the proof that consistency and participation are equivalent? To my knowledge, Descending Acquiescing Coalitions passes participation but not consistency since, to quote w:Consistency criterion,

It has been proven a ranked voting system is "consistent if and only if it is a scoring function"(H. P. Young, "Social Choice Scoring Functions", SIAM Journal on Applied Mathematics Vol. 28, No. 4 (1975), pp. 824–838.), i.e. a positional voting system. Borda count is an example of this.

Woodall states that DAC passes participation in his article "Monotonicity and Single-Seat Election Rules". Kristomun (talk) 09:56, 8 February 2020 (UTC)
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