[EM] Place Votes Table and Tiebreakers

[DEMOREP1 at aol.com]

There are various tiebreakers using ONLY a place votes table (resulting from 
the use of number votes) when there is a Condorcet circular tie among 3 or 
more choices.

Example- 5 choices in a circular tie

        Place Votes
     1   2   3   4   5

A   A1  A2  A3  A4  A5
B   B1  B2  B3  B4  B5
C   C1  C2  C3  C4  C5
D   D1  D2  D3  D4  D5
E   E1  E2  E3  E4  E5

Some tiebreakers--

1. Drop worst head to head defeat, check for CW, check for CL, repeat until 
only 1 left. Larger clones get removed.

Again -- there is initially A and B.   C is then added.  There can be 
CAB, ACB, ABC, CBA, BCA, BAC type votes.  A, B or C might be the highest 
clone. The same thing happens with 4 or more choices.

2. Least head to head defeat.

3. Sum of place votes for 2 or more places to get the highest majority votes 
(or a majority of the places)
(forward to get winners) or (backward to get losers, check for CW, check for 
CL, repeat until only 1 left.).

4. Drop the least first choice votes, check for CW, check for CL, repeat un
til only 1 left.

CW - Condorcet Winner, CL - Condorcet Loser

Which, if any of the above, can be enacted for real public elections ???

One obvious way to avoid the above is to vote YES or NO on each choice.

If there is a circular tie with 3 or more choices, then the choice with the 
most YES votes might win.