[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).



More information about the Election-Methods mailing list