NOTA in a circular tie

DEMOREP1 at aol.com DEMOREP1 at aol.com
Wed Dec 18 16:18:43 PST 1996


I would suggest that NOTA cannot logically be relatively ranked against any
specific candidate.  A NOTA vote means NO candidate is wanted.  I would
suggest that that the average vote would not think it is not logical to
relatively rank NO candidate versus ANY candidate in any sort of combination
such as X candidate > NO candidate > Y candidate.   NOTA is shorthand for
voting an absolute NO on each candidate.  If a majority of the voters vote NO
on each candidate, then NO candidate should be elected (see 1-1-98 example at
bottom).
-----
Mr. Eppley wrote:
Sincere:                       
46: AB/                         
20: BA/                       
34: /BA                         
B would beat A.
B would beat NOTA.              
B would be elected.  
[D comment- 66 voters approve both A and B. The 34 unhappy voters cause B to
relatively win.]

Order-Reversal:
46: A/B           <-- reversal
20: BA/
34: /BA
B beats A.
NOTA beats B.
A is elected.  Reversal succeeds.
[D comment- 66 voters approve A.  20 voters approve B.  A wins without having
to go head to head with B.  I note that the 20 BA/ voters could insincerely
vote 20 B/A so that neither candidate gets majority approval- 46 A, 20 B.  I
also note that the 34 /BA voters could insincerely vote 34 B/A causing B to
win 54 to 46.]
-----
D- According to Mr. Arrow there are strategy problems with all nondictatorial
election methods.  Does Mr. Eppley agree with Mr. Arrow's observation ?
 Order reversal obviously can occur with plain Condorcet.  I would rather
have strategy problems with majority approved candidates than minority
approved candidates.  

Mr. Eppley would apparently see nothing wrong with a sincere vote of-- 
1   BA/
1   AB/
98 /BA 
(i.e. 98 percent of the voters do not want either candidate but B wins by a
Great Leader super mandate of 99 to 1 using plain Condorcet).  Once again, I
thank Mr. Eppley for causing me to produce the 1-1-98 example.

Using 2 candidates is not real since there will obviously be more than 2
candidates in real Condorcet elections.




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