[EM] The war on burial, um, pushover
Kristofer Munsterhjelm
km_elmet at t-online.de
Sun Aug 6 08:55:40 PDT 2023
Here are some stats I just calculated.
It seems like Kevin Venzke's "No-elimination IRV" is ever so slightly
more strategy resistant than ordinary IRV. It might not be worth it,
complexity wise, but it's still interesting, as it makes it (as I know
it) the record holder for strategy resistance under Condorcet,
resolvability, and UD.
I'm using his type one method. 50k elections, 32k tests per election,
impartial culture:
Here's Schwartz,IRV:
Ties: 0
Burial, no compromise: 3473 0.06946
Compromise, no burial: 12450 0.249
Burial and compromise: 41 0.00082
Two-sided: 3 6e-05
Other coalition strats: 7720 0.1544
==========================================
Manipulable elections: 23687 0.47374
and Schwartz//IRV:
Ties: 0
Burial, no compromise: 3450 0.069
Compromise, no burial: 10949 0.21898
Burial and compromise: 1432 0.02864
Two-sided: 8 0.00016
Other coalition strats: 7754 0.15508
==========================================
Manipulable elections: 23593 0.47186
And here's Schwartz,No-elimination IRV:
Ties: 1 (2e-05)
Burial, no compromise: 3463 0.0692614
Compromise, no burial: 12568 0.251365
Burial and compromise: 12 0.000240005
Two-sided: 6 0.000120002
Other coalition strats: 6557 0.131143
==========================================
Manipulable elections: 22606 0.452129
and Schwartz//No-elimination IRV:
Ties: 0
Burial, no compromise: 3433 0.06866
Compromise, no burial: 11175 0.2235
Burial and compromise: 1285 0.0257
Two-sided: 3 6e-05
Other coalition strats: 6452 0.12904
==========================================
Manipulable elections: 22348 0.44696
The higher strategy resistance mainly comes out of a lower "Other"
incentive; hence the modification is most likely reducing pushover.
-km
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