| Favorite betrayal in STAR (1 of 2) — honest ballots: the tepid consensus misses the runoff |
STAR |
Clover |
BV2206 |
bv2206_7mckyg_fbc_honest_tepid_consensus.yaml |
| STAR vs RR divergence -- 3 cands, 15 voters, cycle (STAR A, RR B) |
STAR |
A |
— |
cycle_C03_fewV15_noise_1.yaml |
| STAR vs RR divergence -- 3 cands, 15 voters, cycle (STAR A, RR C) |
STAR |
A |
— |
cycle_C03_fewV15_noise_2.yaml |
| STAR vs RR divergence -- 3 cands, 45 voters, cycle (STAR A, RR B) |
STAR |
A |
— |
cycle_C03_medV45_noise_1.yaml |
| STAR vs RR divergence -- 5 cands, 15 voters, cycle (STAR A, RR E) |
STAR |
A |
— |
cycle_C05_fewV15_noise_2.yaml |
| STAR vs RR divergence -- 5 cands, 28 voters, cycle (STAR A, RR E) |
STAR |
A |
— |
cycle_C05_fewV28_bloc_1.yaml |
| STAR vs RR divergence -- 5 cands, 45 voters, cycle (STAR A, RR B) |
STAR |
A |
— |
cycle_C05_medV45_noise_1.yaml |
| STAR vs RR divergence -- 5 cands, 45 voters, cycle (STAR D, RR B) |
STAR |
D |
— |
cycle_C05_medV45_noise_2.yaml |
| STAR vs RR divergence -- 7 cands, 15 voters, cycle (STAR D, RR A) |
STAR |
D |
— |
cycle_C07_fewV15_noise_1.yaml |
| STAR vs RR divergence -- 7 cands, 598 voters, cycle (STAR C, RR E) |
STAR |
C |
— |
cycle_C07_largeV598_bloc_1.yaml |
| STAR vs RR divergence -- 7 cands, 149 voters, cycle (STAR F, RR C) |
STAR |
F |
— |
cycle_C07_medV149_bloc_2.yaml |
| STAR vs RR divergence -- 10 cands, 15 voters, cycle (STAR A, RR C) |
STAR |
A |
— |
cycle_C10_fewV15_noise_1.yaml |
| STAR vs RR divergence -- 10 cands, 15 voters, cycle (STAR J, RR F) |
STAR |
J |
— |
cycle_C10_fewV15_noise_2.yaml |
| STAR vs RR divergence -- 10 cands, 28 voters, cycle (STAR C, RR F) |
STAR |
C |
— |
cycle_C10_fewV28_bloc_1.yaml |
| STAR vs RR divergence -- 10 cands, 29 voters, cycle (STAR C, RR B) |
STAR |
C |
— |
cycle_C10_fewV29_bloc_2.yaml |
| STAR vs RR divergence -- 10 cands, 149 voters, cycle (STAR I, RR H) |
STAR |
I |
— |
cycle_C10_medV149_bloc_2.yaml |
| STAR vs RR divergence -- 10 cands, 45 voters, cycle (STAR E, RR G) |
STAR |
E |
— |
cycle_C10_medV45_noise_1.yaml |
| STAR vs RR divergence -- 10 cands, 45 voters, cycle (STAR A, RR I) |
STAR |
A |
— |
cycle_C10_medV45_noise_2.yaml |
| STAR vs RR divergence -- 3 cands, 15 voters, darkhorse (STAR A, RR C) |
STAR |
A |
— |
darkhorse_C03_fewV15_noise_1.yaml |
| STAR vs RR divergence -- 5 cands, 599 voters, darkhorse (STAR A, RR E) |
STAR |
A |
— |
darkhorse_C05_largeV599_bloc_1.yaml |
| STAR vs RR divergence -- 7 cands, 30 voters, darkhorse (STAR D, RR C) |
STAR |
D |
— |
darkhorse_C07_fewV30_bloc_1.yaml |
| STAR vs RR divergence -- 7 cands, 597 voters, darkhorse (STAR D, RR E) |
STAR |
D |
— |
darkhorse_C07_largeV597_bloc_1.yaml |
| STAR vs RR divergence -- 7 cands, 598 voters, darkhorse (STAR E, RR G) |
STAR |
E |
— |
darkhorse_C07_largeV598_bloc_2.yaml |
| STAR vs RR divergence -- 7 cands, 147 voters, darkhorse (STAR F, RR D) |
STAR |
F |
— |
darkhorse_C07_medV147_bloc_1.yaml |
| STAR vs RR divergence -- 7 cands, 45 voters, darkhorse (STAR E, RR A) |
STAR |
E |
— |
darkhorse_C07_medV45_noise_1.yaml |
| STAR vs RR divergence -- 10 cands, 598 voters, darkhorse (STAR G, RR F) |
STAR |
G |
— |
darkhorse_C10_largeV598_bloc_1.yaml |
| STAR vs RR divergence -- 10 cands, 599 voters, darkhorse (STAR B, RR E) |
STAR |
B |
— |
darkhorse_C10_largeV599_bloc_2.yaml |
| Alaska 2022 US House special (reduced model) — STAR & Ranked Robin elect Begich, the Condorcet winner RCV-IRV cut |
STAR |
Begich |
BV2213 |
bv2213_k3fmwv_alaska_2022.yaml |
| Alaska 2022 US House general (reduced model) — IRV got it right: all four counts elect the Condorcet winner, Peltola |
STAR |
Peltola |
BV2214 |
bv2214_m3hb6y_alaska_2022_general.yaml |
| Hamlin & Hua §4.1 — the approval count as printed: B wins with 100% |
Approval |
B |
— |
hh41_01_approval_as_printed.yaml |
| Hamlin & Hua §4.1 — the assumed preferences, counted pairwise: A is the Condorcet winner |
RankedRobin |
A |
— |
hh41_02_preferences_ranked_robin.yaml |
| Hamlin & Hua §4.1 — the same marks read pairwise: 60 of 100 voters express no preference |
STAR |
B |
— |
hh41_03_marks_read_pairwise.yaml |
| Hamlin & Hua §4.1 — their own utility stipulation, on a 0-5 ballot: A 380, B 370, A wins |
STAR |
A |
— |
hh41_04_stipulated_utilities_star.yaml |
| Burlington 2009 mayor — RCV-IRV: the real center squeeze (Kiss wins, the Condorcet winner is third) |
RCV_IRV |
Kiss |
— |
burlington_2009_irv.yaml |
| Center squeeze (RCV-IRV) — minimal 27-voter case (the moderate is eliminated) |
RCV_IRV |
Left |
— |
center_squeeze_irv.yaml |
| Center squeeze — STAR elects the consensus (Center) |
STAR |
Center |
— |
center_squeeze_star.yaml |
| Center squeeze — the voteline 1D spectrum (Red / Green / Yellow) |
STAR |
Green |
— |
center_squeeze_voteline_1d.yaml |
| Center Squeeze — IRV (Hare): the center gets squeezed out |
IRV |
Carter |
BV2137 |
bv2137_ywckmg_irv.yaml |
| Center Squeeze — Ranked Robin (Copeland): the Condorcet winner survives |
RankedRobin |
Anderson |
BV2137 |
bv2137_ywckmg_ranked_robin.yaml |
| Center Squeeze — STAR (ranks→scores): agrees with Condorcet, not IRV |
STAR |
Anderson |
BV2137 |
bv2137_ywckmg_star.yaml |
| Center Squeeze — STV (1 seat = IRV single-winner): same squeeze |
STV |
Carter |
BV2137 |
bv2137_ywckmg_stv.yaml |
| Chicken / Burr dilemma — STAR resolves it (allies A & B beat C; A wins honestly) |
STAR |
A |
— |
chicken_star.yaml |
| Dark Horse — STAR elects the honest winner A (Borda would elect the dark horse D) |
STAR |
A |
— |
dark_horse_star.yaml |
| Edelman's 'Myth of the Condorcet Winner' 81 voters — the score count says Ben, the majorities say Ada |
STAR |
Ada |
BV2173 |
bv2173_gmfv4c_edelman_saari_cancellation.yaml |
| FairVote's own hypothetical (45/12/43) — the moderate IS the majority's pairwise choice |
STAR |
Moderate |
BV2168 |
bv2168_6w2gq7_fairvote_40_15_40_moderate_cw.yaml |
| FairVote white paper — French 2017 (HONEST): STAR elects the centrist Macron |
STAR |
Macron |
BV2229 |
bv2229_7j2bqf_french_2017_honest.yaml |
| FairVote white paper — French 2017 (BURIAL): coordinated strategy squeezes Macron out |
STAR |
Melenchon |
BV2230 |
bv2230_2hqmrd_french_2017_burial.yaml |
| FairVote white paper — Washington 2010 (HONEST): STAR elects the moderate Berkey |
STAR |
Berkey |
BV2231 |
bv2231_b4yr3v_wa_2010_honest.yaml |
| FairVote white paper — Washington 2010 (BURIAL): the squeeze works on STAR, but IRV resists it |
STAR |
Harper |
BV2232 |
bv2232_24b623_wa_2010_burial.yaml |
| Favorite betrayal (RCV-IRV) — HONEST: Left voters rank their favorite first, and their WORST wins |
RCV_IRV |
Right |
BV2227 |
bv2227_3xgkck_honest_irv.yaml |
| Favorite betrayal — the fix: STAR & Ranked Robin elect Center from the HONEST ballots |
STAR |
Center |
BV2227 |
bv2227_3xgkck_honest_star.yaml |
| Favorite betrayal (RCV-IRV) — BETRAY: 2 Left voters rank their favorite SECOND, and win |
RCV_IRV |
Center |
BV2228 |
bv2228_bgcmxx_betray_irv.yaml |
| Felsenthal Ex.1 — Choose-One (Plurality): the absolute loser wins |
Plurality |
Ana |
BV2144 |
bv2144_mxfmhm_plurality.yaml |
| Felsenthal Ex.1 — STAR (ranks→scores): elects the Condorcet winner |
STAR |
Bo |
BV2144 |
bv2144_mxfmhm_star.yaml |
| Felsenthal Ex.2 — Runoff/IRV: the Condorcet winner is eliminated first |
IRV |
Ben |
BV2145 |
bv2145_6fj2kg_irv.yaml |
| Felsenthal Ex.2 — Ranked Robin: the Condorcet winner survives |
RankedRobin |
Ada |
BV2145 |
bv2145_6fj2kg_ranked_robin.yaml |
| Felsenthal Ex.2 — STAR (ranks→scores): elects the Condorcet winner |
STAR |
Ada |
BV2145 |
bv2145_6fj2kg_star.yaml |
| Felsenthal Ex.4 full electorate — Runoff/IRV: their worst choice wins |
IRV |
Carl |
BV2150 |
bv2150_dxg8pb_irv.yaml |
| Felsenthal Ex.4 full electorate — Ranked Robin: the Condorcet winner Beth |
RankedRobin |
Beth |
BV2150 |
bv2150_dxg8pb_ranked_robin.yaml |
| Felsenthal Ex.4 full electorate — STAR: elects the Condorcet winner Beth |
STAR |
Beth |
BV2150 |
bv2150_dxg8pb_star.yaml |
| Felsenthal Ex.5 — Approval: the Condorcet winner loses the approval count |
Approval |
Anna |
BV2152 |
bv2152_r6ctvy_approval.yaml |
| Felsenthal Ex.5 — Ranked Robin: the Condorcet winner Bert |
RankedRobin |
Bert |
BV2152 |
bv2152_r6ctvy_ranked_robin.yaml |
| Felsenthal Ex.8 — IRV: a third winner, Clara |
IRV |
Clara |
BV2154 |
bv2154_wq6yv7_irv.yaml |
| Nurmi Ex.16 sincere — RCV-IRV: full rankings elect A, not the Condorcet winner |
IRV |
A |
BV2162 |
bv2162_4htk44_irv.yaml |
| Nurmi Ex.16 sincere — Ranked Robin: the Condorcet winner B |
RankedRobin |
B |
BV2162 |
bv2162_4htk44_ranked_robin.yaml |
| Nurmi Ex.16 sincere — STAR: elects the Condorcet winner B |
STAR |
B |
BV2162 |
bv2162_4htk44_star.yaml |
| Coombs Ex.17 — Choose-One: Bree on first choices |
Plurality |
Bree |
BV2164 |
bv2164_xbqq8t_plurality.yaml |
| Coombs Ex.17 — Ranked Robin: the Condorcet winner Arlo |
RankedRobin |
Arlo |
BV2164 |
bv2164_xbqq8t_ranked_robin.yaml |
| Coombs Ex.17 — STAR: Bree tops the scores, the Condorcet winner Arlo wins the runoff |
STAR |
Arlo |
BV2164 |
bv2164_xbqq8t_star.yaml |
| Coombs Ex.18 — Bree is raised on four ballots and loses because of it |
RCV_IRV |
Arlo |
— |
coombs_ex18_monotonicity.yaml |
| Felsenthal Ex.6 — Approval can elect a Pareto-dominated candidate (LH-only) |
Approval |
Beau |
— |
felsenthal_ex6_pareto_approval.yaml |
| MJ Ex.25 — the median elects y though a majority grades x higher |
? |
— |
— |
mj_ex25_absolute_winner_loses.yaml |
| Range Ex.23 — four paradoxes with two candidates: one enthusiast outvotes three majorities |
? |
— |
— |
range_ex23_mean_overrules_majority.yaml |
| Successive elimination Ex.11 — after: a twin joins and costs their own side the win |
RankedRobin |
B |
— |
succ_elim_ex11_twin_after.yaml |
| Successive elimination Ex.9 — two D voters stay home and get a better result |
RankedRobin |
A |
— |
succ_elim_ex9_noshow.yaml |
| Hillinger Table 4 — three methods, three winners (EV-3 scale) |
STAR |
Ana |
— |
hillinger_t4_ev3.yaml |
| Minority winner — 34% wins Choose-One, but STAR & Ranked Robin elect the majority's real choice (BV2215, 2p33qq) |
STAR |
Cleo |
BV2215 |
bv2215_2p33qq_minority_winner.yaml |
| Tennessee capital, four ways — same ballots; Memphis, Knoxville or Nashville by count (BV2155) |
STAR |
Nashville |
BV2155 |
bv2155_cphxpt_tennessee_four_ways.yaml |
| STAR misses the Condorcet winner — STAR's own signature failure (BV2156) |
STAR |
Ada |
BV2156 |
bv2156_3grpbb_star_misses_condorcet.yaml |
| IRV buries the centrist — Ossipoff's 303-voter one-dimensional example (BV2158) |
RCV_IRV |
— |
BV2158 |
bv2158_gr72hd_ossipoff_centrist_irv.yaml |
| Many IRV pathologies in one election — Brams' 21-voter sampler (BV2159) |
RCV_IRV |
— |
BV2159 |
bv2159_f4cjpy_brams_irv_pathologies.yaml |
| The Post-it switch, made real — RCV-IRV: Green eliminated, Blue 10, Purple 9 |
IRV |
Blue |
BV2178 |
bv2178_8kg698_irv.yaml |
| The Post-it switch, made real — Ranked Robin: Blue, now the outright Condorcet winner |
RankedRobin |
Blue |
BV2178 |
bv2178_8kg698_ranked_robin.yaml |
| The Post-it switch, made real — STAR: Blue, now also the score co-leader |
STAR |
Blue |
BV2178 |
bv2178_8kg698_star.yaml |
| Preference vs Support — the center TOLERATED (wings score Blair 1) |
STAR |
Alex |
BV2225 |
bv2225_ywx39y_center_tolerated.yaml |
| Preference vs Support — the center SUPPORTED (wings score Blair 4) |
STAR |
Blair |
BV2226 |
bv2226_82gg36_center_supported.yaml |
| Condorcet centrist, minimal form (8 voters) — STAR elects Casey |
STAR |
Casey |
BV2171 |
bv2171_h93tm4_star.yaml |
| Condorcet centrist, full form (100 voters, 47/47/3/3) — STAR elects Casey |
STAR |
Casey |
BV2172 |
bv2172_bkwfjr_star.yaml |
| Symmetric centrist (47/47/3/3) — RCV-IRV: the centrist is squeezed, the poles deadlock |
IRV |
Avery |
BV2170 |
bv2170_pp2q4q_irv.yaml |
| Symmetric centrist (47/47/3/3) — Choose-One: the poles tie, the centrist gets 6 |
Plurality |
Blake |
BV2170 |
bv2170_pp2q4q_plurality.yaml |
| Symmetric centrist (47/47/3/3) — Ranked Robin: elects Casey, beats everyone head-to-head |
RankedRobin |
Casey |
BV2170 |
bv2170_pp2q4q_ranked_robin.yaml |
| Symmetric centrist (47/47/3/3) — STAR: elects Casey, the Condorcet winner |
STAR |
Casey |
BV2170 |
bv2170_pp2q4q_star.yaml |