<html>
Bart, you've got it wrong. You're jumping to bad conclusions here,
because you're not looking at all four cases. Look back at my
original analysis, or at least look at this, the final decision matrix
for winning votes (ABC voters' choices on top, CBA voters' choices on
left):<br><br>
<font face="Terminal, Monaco">xxx| T | NT |<br>
---|---|----|<br>
T | A | A |<br>
---|---|----|<br>
NT | B | B |<br>
-------------<br><br>
</font>You were comparing the top left and bottom right squares, and
drawing conclusions about the A faction's incentives from this.
This is totally invalid. Do the analysis. You will see that
truncating never helps you. If you are the faction with the
majority (decisions on the top row) then whether you truncate makes no
difference. If you are the faction with less votes (decisions on
the left column) then truncation HURTS you, every time.<br><br>
<blockquote type=cite class=cite cite>In your example, if neither
truncates, B wins. If both truncate, A<br>
wins. Clearly the A voters were better off with both sides
truncating,<br>
while the C voters were worse off. </blockquote><br>
Sure, but the A voters do just as well if they fully vote and the C
voters truncate. So the truncation of the A voters didn't help
them. Rather, the truncation carried out by the C voters HURT the C
voters, and helped the A voters. If the C voters had voted their
full preferences, they would have gotten B elected in stead.<br><br>
And of course, the same is true if the C faction turns out to be stronger
(ABC voters' choices on top, CBA voters' choices on left):<br><br>
<font face="Terminal, Monaco">xxx| T | NT |<br>
---|---|----|<br>
T | C | B |<br>
---|---|----|<br>
NT | C | B |<br>
-------------<br><br>
</font>Now, the C faction's choice makes no difference, while the A
faction does better if they do not truncate. So, given that there
is some uncertainty whether the results will follow this box or the
previous box, both factions have a strong incentive to not
truncate.<br><br>
In this example, truncation never helps the faction that
truncates.<br><br>
-Adam</html>