[EM] Lowest YES losers
DNOW1 at aol.com
DNOW1 at aol.com
Tue May 27 21:01:05 PDT 2014
Expanded 34-33-32 Circular Tie Example
YES votes will likely turn into NO votes with more choices (in added
columns to the right)
NO votes in a column keep being NO votes in additional columns to the
right.
i.e. a NO steps triangle with added choices.
Y YES, N NO, * column dividers
Y*34A*25B* 5CY
N*---*---*20CN
N*---* 9B* 9CN
Y*33B*30C* 6AY
N*---*---*24AN
N*---* 3C* 3AN
Y*32C*17A* 2BY
N*---*---*15BN
N*---*15A*15BN
T*99-*99-*99-T
Possible NO votes in column 1 NOT shown for simpler example.
YES votes only -
Y*34A*25B* 5CY
Y*33B*30C* 6AY
Y*32C*17A* 2BY
51 A > 33 B
58 B > 32 C
62 C > 34 A
YES and NO votes -
66 A > 33 B
67 B > 32 C
65 C > 34 A
YES in columns 1 and 2
A 51
B 58
C 62
YES in columns 1, 2 and 3
A 57 [A loses ???]
B 60
C 67
Which tiebreaker ???
The mind boggles with larger examples.
----
Rehash some more --
Use both YES/NO votes and Number Votes
YM YES Majority, CW - Condorcet Winner
CL Condorcet Loser
Elect 1 of 2
0 YM - exec/judic appoint to fill vacancy
1 YM - elected
2 YM - CW/CL
Elect 1 of 3 [or more]
0-2 YM -- same as in Elect 1 of 2
3 [or more] YM - CW/CL
If no CW, then lowest YM loses [This is a change from an earlier posting]
If YM tie, then lowest YES in N-1 columns loses
This last *rare* divided majority event -
YES votes only
18 ABC
17 BCA
16 CAB
49 Z
100
A,B,C all have 51 YES majorities in a circular tie.
N-1 columns YES
A 34
B 35
C 33 loses
A 34 beats B 17
-- IF none of the Z voters make any rankings of A, B or C (as NO votes).
Too difficult for 5 of 9 SCOTUS folks to understand ???
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