[EM] Tactical voting under a jury model
Colin Champion
colin.champion at routemaster.app
Mon Mar 7 06:45:01 PST 2022
Kristofer - for completeness here are my other results. Compromising, as
you imply, is much the same as sincere voting; false cycles are much
like burial. My final condition is "exhaustive" tactical voting, in
which all voters supporting a given candidate submit the same insincere
ballot. A subversion is considered successful if it leads to the
insincere voters getting their way and their candidate is worse than the
sincere winner; and the loss is the resulting drop in valence. I'm not
sure how close this is to Daniel's tests, but it was based on what he
was saying at the time. Exhaustive tactical voting is again much like
burial.
Other parameters are the same as in my previous run.
Like you, I was a little perturbed by Condorcet/Hare not being at
least as good as IRV; I simply assumed (or hoped) that the conditions of
JGA's theorem didn't hold.
Colin
*Compromising*
random fptp sptp av sinkhorn borda mj coombs
115.6767 4.2340 17.5522 3.4865 2.8701 2.8441 - 3.4740
condorcet benham btr nanson minimax minisum rp river
schulze asm
- 3.4419 3.3958 3.3815 3.3559 3.3530 3.3659
3.3858 3.5267 3.5209
condorcet+ random fptp sptp av borda
5.9255 3.3738 3.7981 3.4409 3.3058
copeland+ random fptpf fptpr sptp avf avr bordaf
bordar minimaxfminimaxr
3.4407 3.3690 3.3868 3.4452 3.4296 3.4302 3.3063
3.3388 3.3530 3.3647
smith+ random fptpf fptpr sptp avf avr bordaf
bordar minimaxfminimaxrtideman q&dc
3.5267 3.3720 3.3890 3.6909 3.4409 3.4382 3.3058
3.3259 3.3559 3.3559 3.4344 3.5345
*False cycles*
random fptp sptp av sinkhorn borda mj coombs
115.6767 4.2340 17.5522 3.4932 10.2714 10.0818 - 26.3221
condorcet benham btr nanson minimax minisum rp river
schulze asm
- 3.5519 5.4141 8.5122 8.6953 8.5354 8.7293
8.7462 12.4334 9.2892
condorcet+ random fptp sptp av borda
11.1509 5.2152 6.1789 3.5529 7.3317
copeland+ random fptpf fptpr sptp avf avr bordaf
bordar minimaxfminimaxr
10.6530 5.1834 5.3717 6.0292 3.7368 3.7725 7.1250
10.5974 8.3103 8.3840
smith+ random fptpf fptpr sptp avf avr bordaf
bordar minimaxfminimaxrtideman q&dc
12.4334 5.2357 5.4327 6.1769 3.5529 3.5543 7.3305
10.8659 8.7099 8.7099 4.1473 12.2860
*Exhaustive*
random fptp sptp av sinkhorn borda mj coombs
115.6767 4.2340 17.5522 3.4934 29.7429 28.3067 - 47.0813
condorcet benham btr nanson minimax minisum rp river
schulze asm
- 3.5522 5.4275 11.0898 10.0524 10.7085 11.5937
11.6862 15.6366 9.9130
condorcet+ random fptp sptp av borda
18.3528 5.2430 13.4912 3.5582 20.3795
copeland+ random fptpf fptpr sptp avf avr bordaf
bordar minimaxfminimaxr
15.7254 10.6274 10.7833 15.1104 10.3921 10.5389 19.4887
13.4124 12.2174 12.2592
smith+ random fptpf fptpr sptp avf avr bordaf
bordar minimaxfminimaxrtideman q&dc
15.6366 5.3535 6.3920 13.5263 3.5589 3.5666 20.3782
17.8307 10.0525 10.0525 4.1848 19.7032
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