<HTML><BODY>I wonder if this is <span class="correction" id="">sorta</span> similar to a <span class="correction" id="">Borda</span> count in terms of Clone independence.<br>
<br>
For example, if voters, A,B,C vote<br>
<br>
A: A>B><span class="correction" id="">C1</span>><span class="correction" id="">C2</span><br>
<div>B: B><span class="correction" id="">C1</span>><span class="correction" id="">C2</span>>A<br>
C: <span class="correction" id="">C1</span>><span class="correction" id="">C2</span>>A>B<br>
<br>
A>B><span class="correction" id="">C1</span>><span class="correction" id="">C2</span>>A<br>
<br>
(Horizontal = first candidate)<br>
<br>
A>B<br>
0 0 0 1<br>
1 0 0 0 <br>
0 0 0 0<br>
0 0 1 0<br>
<br>
B><span class="correction" id="">C1</span><br>
0 0 0 0<br>
1 0 0 1 <br>
0 1 0 0<br>
0 0 0 0<br>
<br>
<span class="correction" id="">C1</span>><span class="correction" id="">C2</span><br>
0 0 0 0<br>
1 0 0 0 <br>
0 1 0 0<br>
0 0 1 0<br>
<br>
<span class="correction" id="">C2</span>>A<br>
0 0 0 1<br>
0 0 0 0 <br>
0 1 0 0<br>
0 0 1 0<br>
<br>
The lowest ranked box is 4,4 and it is empty. The next lowest is (3,4) and (4,4)<br>
and only 3,4 has votes in it.<br>
<br>
<span class="correction" id="">C2</span>>A, <span class="correction" id="">C1</span>><span class="correction" id="">C2</span> and A>B have pairs in that box. The only pair left is B><span class="correction" id="">C1</span>. <br>
Thus, B wins?<br>
<br>
I am not 100% sure if I have understood you method correctly. However, by<br>
weighting lower preferences lower, the C "Party" has reduced the weighting<br>
of A>B in ballot C and <span class="correction" id="">C2</span>>A in ballot B. Without the first one, the votes <br>
become:<br>
<br>
A: A>B><span class="correction" id="">C1</span>><span class="correction" id="">C2</span><br>
B: B><span class="correction" id="">C1</span>><span class="correction" id="">C2</span>>A<br>
C: <span class="correction" id="">C1</span>><span class="correction" id="">C2</span>>A<br>
<br>
A=B<br>
A<<span class="correction" id="">C1</span><br>
A<<span class="correction" id="">C2</span><br>
<br>
B>C1<br>
B>C2<br>
<br>
C1>C2<br>
<br>
B draws to A and wins to C1 and C2.<br>
<br>
The effect seems to be opposite to <span class="correction" id="">Borda</span>, cloning can result in your least favorite<br>
winning. That would likely lead to 2 party domination if cloning hurts a cause.<br>
<br>
Is your method <span class="correction" id="">equavalent</span> (or very similar) to the following method.<br>
<br>
1) Voters rank N candidates<br>
2) M=N<br>
3) Ballots truncated to M rankings<br>
</div>
<div>4) <span class="correction" id="">Condorcet</span> winner is elected, if existing<br>
5) Otherwise, reduce M by 1 and <span class="correction" id="">goto</span> 3)<br>
<br>
What about this instead<br>
<br>
1) Voters rank N candidates and include a range score<br>
2) M=N-1<br>
3) Ballots reduced to at most M clear preferences, least strong preferences <span class="correction" id="">equalised</span> first<br>
4) <span class="correction" id="">Condorcet</span> winner is elected, if existing<br>
5) Otherwise, reduce M by 1 and <span class="correction" id="">goto</span> 3)<br>
<br>
<br>
<span class="correction" id="">Ok</span>, so I could fill in the following ballot:<br>
<br>
<span class="correction" id="">A1</span>: 1 (99) <br>
<span class="correction" id="">A2</span>: 2 (97)<br>
B: 3 (90)<br>
<span class="correction" id="">C1</span>: 4 (0)<br>
<span class="correction" id="">C2</span>: 5 (1)<br>
<br>
The voter messed up the ballot for <span class="correction" id="">C1</span> and <span class="correction" id="">C2</span> and also didn't rank <span class="correction" id="">E1</span> or <span class="correction" id="">E2</span>.<br>
<br>
In effect, that preference will be <span class="correction" id="">equalised</span> first due to the contradiction <br>
(shown in bold below).<br>
<br>
So, my ballot would effectively be<br>
Round 1: <span class="correction" id="">A1</span>><span class="correction" id="">A2</span>>B><span class="correction" id="">C1</span>><span class="correction" id="">C2</span>><span class="correction" id="">E1</span>=<span class="correction" id="">E2</span> (from ballot)<br>
Round 2: <span class="correction" id="">A1</span>><span class="correction" id="">A2</span>>B><span class="correction" id="">C1</span>><span class="correction" id="">C2</span>><span class="correction" id="">E1</span>=<span class="correction" id="">E2</span> (already has 1 equality so no change required)<br>
Round 3: <span class="correction" id="">A1</span>><span class="correction" id="">A2</span>>B><span class="correction" id="">C1</span>=<span class="correction" id="">C2</span>><span class="correction" id="">E1</span>=<span class="correction" id="">E2</span> (<b>-1 point</b> difference between <span class="correction" id="">C1</span> and <span class="correction" id="">C2</span>)<br>
Round 4: <span class="correction" id="">A1</span>><span class="correction" id="">A2</span>>B><span class="correction" id="">C1</span>=<span class="correction" id="">C2</span>=<span class="correction" id="">E1</span>=<span class="correction" id="">E2</span> (1 point difference between <span class="correction" id="">C2</span> and '0')<br>
Round 5: <span class="correction" id="">A1</span>=<span class="correction" id="">A2</span>>B><span class="correction" id="">C1</span>=<span class="correction" id="">C2</span>=<span class="correction" id="">E1</span>=<span class="correction" id="">E2</span> (2 point difference between <span class="correction" id="">A1</span> and <span class="correction" id="">A2</span>) <br>
Round 6: <span class="correction" id="">A1</span>=<span class="correction" id="">A2</span>=B><span class="correction" id="">C1</span>=<span class="correction" id="">C2</span>=<span class="correction" id="">E1</span>=<span class="correction" id="">E2</span> (10 point difference between <span class="correction" id="">A2</span> and <span class="correction" id="">B2</span>)<br>
Round 7: <span class="correction" id="">A1</span>=<span class="correction" id="">A2</span>=B=<span class="correction" id="">C1</span>=<span class="correction" id="">C2</span>=<span class="correction" id="">E1</span>=<span class="correction" id="">E2</span> (90 point difference between B and <span class="correction" id="">C1</span>)<br>
<br>
The preferences are converted to equalities in order of increasing difference.<br>
<br>
If round 7 happened, then the election has produced no winner. Maybe in such a <br>
situation, switch to Range to decide the winner. <i></i>I am not sure how rare it would <br>
be though. <br>
<br>
If two preferences have the same difference, then blank out the lower one first maybe. <br>
Alternatively, blank out both (and thus none on the next round). In any case, a rule <br>
needs to be applied.<br>
<br>
This system would be pretty complex though. Each district could produce a <br>
digest, however, it will require N^3 boxes. Basically, they need to produce<br>
a standard <span class="correction" id="">condorcet</span> digest for each round and there can be up to N-1 rounds. <br>
Another option is that they produce only rounds 1-10 and only count more <br>
rounds if necessary.<br>
<br>
It is more clone resistant than always using the lower ranked preferences. It<br>
allows voters to say who are the clones. If a voter thinks 2 candidates are<br>
clones, then they will rate them with the same score. This means they lose<br>
minimum <span class="correction" id="">expressivity</span>. C1>C2 is almost as good as C1=C2 as they are clones<br>
and the voter will want to drop that preference before they drop their main<br>
preferences.<br>
<br>
<br>
</div>
<div style="clear: both;"><span class="correction" id="">Raphfrk</span><br>
--------------------<br>
Interesting site<br>
"what if anyone could modify the laws"<br>
<br>
<span class="correction" id="">www</span>.<span class="correction" id="">wikocracy</span>.<span class="correction" id="">com</span></div>
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