Majority winner set

DEMOREP1 at aol.com DEMOREP1 at aol.com
Sun Nov 19 19:44:33 PST 2000


Mr. Layton wrote--

A>B   55 - 45

B>C   47 - 35

C>A   51 - 35


-Majority Winner Set consists of A & C

-A is eliminated

-Majority Winner Set consists of C

---------
D- I have noted that it is improper to disregard truncated votes in a place 
votes table-----

          1    2     3     Tot
A      A1  A2   A3    AT
B      B1  B2   B3     BT
C      C1  C2   C3     CT
Tot   T1  T2   T3

T1 = T2 = T3 = AT = BT = CT

Disregarding truncated votes in head to head pairings is also improper.

Thus, there are majority winners in ALL head to head pairings (ignoring ties).

There are, of course, Condorcet losers (a choice defeated by each other 
choice in all of his/her head to head pairings).

The standard circular tie-

34 ABC
33 BCA
32 CAB

66 A > B 33
67 B > C 32
65 C > A 34

Place Votes
      1    2    3
A  34   32   33    99
B  33   34    32   99
C  32   35   34    99
   99    99   99



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