[EM] Oops (re resistant set extension)
Kristofer Munsterhjelm
km_elmet at t-online.de
Wed Dec 20 13:51:59 PST 2023
I missed an obvious counterexample for the first preference-based extension.
34: A>B>C
33: B>C>A
33: C>A>B
Now (A,B) ~> C since 34 + 33 > 50,
{B, C} ~> A since 33 + 33 > 50
and {C, A} ~> B since 33 + 34 > 50
hence a cycle.
So that relation (with that threshold) is unsuitable. If the first
preference extension is to be salvaged, the threshold can't be 1/(k-|S|+1).
-km
More information about the Election-Methods
mailing list