[EM] uncovered set
fsimmons at pcc.edu
fsimmons at pcc.edu
Sun Jul 18 15:40:30 PDT 2010
River, Schulze, and Ranked Pairs all give the win to D in the scenario
40 D>B>C>A
30 A>B>C>D
30 C>A>D>B
because in the pairwise beatpath D beats B beats C beats A, all of the defeats are 70 to 30, and all
other defeats are weaker.
But alternative D is covered by A.
Even though we cannot have monotonicity with independence from covered alternatives, we can have
monotone methods that choose exclusively from the uncovered set. Copeland is such a method, but it
has a high rate of tied outcomes, and fails clone independence.
My favorite Condorcet method based on purely ranked ballots (explained elsewhere) gives A seventy
percent of the probability and C thirty percent of the probability.
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