<HTML><FONT FACE=arial,helvetica><HTML><FONT COLOR="#000000" FACE="Geneva" FAMILY="SANSSERIF" SIZE="4">Expanded 34-33-32 Circular Tie Example<BR>
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YES votes will likely turn into NO votes with more choices (in added columns to the right)<BR>
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NO votes in a column keep being NO votes in additional columns to the right.<BR>
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i.e. a NO steps triangle with added choices.<BR>
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Y YES, N NO, * column dividers<BR>
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Y*34A*25B* 5CY<BR>
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N*---*---*20CN<BR>
N*---* 9B* 9CN<BR>
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Y*33B*30C* 6AY<BR>
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N*---*---*24AN<BR>
N*---* 3C* 3AN<BR>
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Y*32C*17A* 2BY<BR>
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N*---*---*15BN<BR>
N*---*15A*15BN<BR>
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T*99-*99-*99-T<BR>
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Possible NO votes in column 1 NOT shown for simpler example.<BR>
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YES votes only -<BR>
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</FONT><FONT COLOR="#000000" FACE="Courier" FAMILY="FIXED" SIZE="4">Y*34A*25B* 5CY<BR>
Y*33B*30C* 6AY<BR>
Y*32C*17A* 2BY</FONT><FONT COLOR="#000000" FACE="Geneva" FAMILY="SANSSERIF" SIZE="4"><BR>
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51 A > 33 B<BR>
58 B > 32 C<BR>
62 C > 34 A<BR>
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YES and NO votes -<BR>
66 A > 33 B<BR>
67 B > 32 C<BR>
65 C > 34 A<BR>
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YES in columns 1 and 2<BR>
A 51<BR>
B 58<BR>
C 62<BR>
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YES in columns 1, 2 and 3<BR>
A 57 [A loses ???]<BR>
B 60<BR>
C 67<BR>
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Which tiebreaker ???<BR>
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The mind boggles with larger examples.<BR>
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Rehash some more --<BR>
Use both YES/NO votes and Number Votes<BR>
YM YES Majority, CW - Condorcet Winner<BR>
CL Condorcet Loser<BR>
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Elect 1 of 2<BR>
0 YM - exec/judic appoint to fill vacancy<BR>
1 YM - elected<BR>
2 YM - CW/CL<BR>
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Elect 1 of 3 [or more]<BR>
0-2 YM -- same as in Elect 1 of 2<BR>
3 [or more] YM - CW/CL<BR>
If no CW, then lowest YM loses [This is a change from an earlier posting]<BR>
If YM tie, then lowest YES in N-1 columns loses<BR>
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This last *rare* divided majority event -<BR>
YES votes only<BR>
18 ABC<BR>
17 BCA<BR>
16 CAB<BR>
49 Z<BR>
100<BR>
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A,B,C all have 51 YES majorities in a circular tie.<BR>
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N-1 columns YES<BR>
A 34<BR>
B 35<BR>
C 33 loses<BR>
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A 34 beats B 17 <BR>
-- IF none of the Z voters make any rankings of A, B or C (as NO votes).<BR>
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Too difficult for 5 of 9 SCOTUS folks to understand ???</FONT><FONT COLOR="#000000" FACE="Geneva" FAMILY="SANSSERIF" SIZE="2"></FONT></HTML>