[EM] Manipulability correction for BTR-IRV
Kristofer Munsterhjelm
km_elmet at t-online.de
Thu May 16 04:50:36 PDT 2024
I implemented BTR-IRV relatively quickly because Robert mentioned it and
I thought it would provide useful context. It turns out my quick
implementation was a little too dirty and it eliminated losers
incorrectly when there was a tie for last.
It used to choose one candidate tied for last vs one candidate tied for
next to last for the bottom runoff. Now it picks two candidates tied for
last instead, which, in retrospect, seems much more sensible.
It improves the stats too. As with IRV, there's a candidate-dependent
tiebreak but it shouldn't matter because the generator is candidate
agnostic. Here's the new result:
Burial, no compromise: 62219 0.124438
Compromise, no burial: 2340 0.004680
Burial and compromise: 157 0.000314
Two-sided: 102669 0.205338
Other coalition strats: 1683 0.003366
========================================
Manipulable elections: 169068 0.338136
Ties: 0
Decisive elections: 500000
Condorcet//Plurality has a manipulability value close to ordinary
Plurality, but I think my tie handling is obscuring the improvement from
the Condorcet phase. So I should find a way to deal with ties before I
post its detailed stats.
So much to do and so little time.
What I *can* conclude is that BTR-IRV is not the same thing as
Condorcet-Plurality with four candidates or more. I kinda knew that
already though :-)
-km
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