[EM] Adding or Removing Choices
DEMOREP1 at aol.com
DEMOREP1 at aol.com
Tue Jul 18 13:22:14 PDT 2000
Various test standards for various methods involve what happens when a choice
is added or removed. I say again - such standards are irrelevant. An
election is based on the votes cast.
Elementary examples---
35 ABC
34 BCA
31 CAB
100
A>B>C>A
D is added in various places
35 DABC
34 DBCA
31 DCAB
100
Wow. D gets 100 first place votes. Does D win ???
35 ADBC
34 BDCA
31 CDAB
100
Wow again. D beats each candidate head to head (even with zero first choice
votes). Does D win ???
35 ABDC
34 BCDA
31 CADB
100
Wow again. D is beat by each candidate head to head. Does D lose ???
35 ABCD
34 BCAD
31 CABD
100
Wow again. D is last on all ballots. Does D lose ???
If there were 4 choices at the beginning and D was removed, then some other
choice would win (where D won). Amazing.
Thus, it is no big surprise that adding (or removing) choices causes
different results. Namely -- ALL of the standards involving the adding or
removing of choices are totally useless.
It would also seem that removing choices one or more at a time (such as head
to head worst defeated choices) is improper (unless the choice is a Condorcet
loser).
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