Exercise 6 — Bullet voting backfires: the honest ballots¶
Generated from ex06_bullet_honest.yaml — do not edit by hand. Regenerate: python STARVote_LH_tabulation_engine/tools_adam/scripts/build_yaml_pages.py.
Method: STAR (single winner) · 1 seat · Expected winner: Bree
▶ Live on BetterVoting: vote · results ↗ (election x4dkfd · test BV2193).
Scenario¶
The base case: nine voters, three speakers. Ari's four fans vote honestly (Ari 5, Bree 3, Cash 0). Scoring round: Bree 25, Cash 21, Ari 20 — Bree and Cash advance, and Bree (the broad compromise) beats Cash 5-4 in the runoff. Ari's fans get their second choice. The companion file ex06_bullet_backfire.yaml reruns the SAME election with those four fans bullet voting (Ari 5, everyone else 0) — and hands the win to Cash, their nightmare. Exercise: ex06_bullet_backfire.md. Ballots and cast are this repo's own. Live on BetterVoting (Test ID BV2193): https://bettervoting.com/x4dkfd/results — with RCV-IRV and Ranked Robin races on the same opinions (IRV elects Cash even on the honest ballots — the squeeze cameo; RR confirms Bree).
Ballots¶
The ballots as marked — the filled bubble is the score given, and the score is the number in its column:
| # | Ballot as marked | Ari | Bree | Cash |
|---|---|---|---|---|
| 1 | ![]() |
5 | 3 | 0 |
| 2 | ![]() |
5 | 3 | 0 |
| 3 | ![]() |
5 | 3 | 0 |
| 4 | ![]() |
5 | 3 | 0 |
| 5 | ![]() |
0 | 2 | 5 |
| 6 | ![]() |
0 | 2 | 5 |
| 7 | ![]() |
0 | 2 | 5 |
| 8 | ![]() |
0 | 2 | 5 |
| 9 | ![]() |
0 | 5 | 1 |
The same ballots as the file records them:
Row 1 = candidate names; each later row is one voter's 0–5 scores (a N × prefix = N identical ballots).
Ari,Bree,Cash
5,3,0 # Ari fan 1 of 4 — honest: Bree really is a second choice
5,3,0 # Ari fan 2 of 4 — same honest ballot
5,3,0 # Ari fan 3 of 4 — same honest ballot
5,3,0 # Ari fan 4 of 4 — same honest ballot
0,2,5 # Cash fan 1 of 4 — Bree tolerable
0,2,5 # Cash fan 2 of 4 — same ballot
0,2,5 # Cash fan 3 of 4 — same ballot
0,2,5 # Cash fan 4 of 4 — same ballot
0,5,1 # The lone Bree fan — her Cash 1 outranks Ari's 0
What the engine says¶
The count, step by step — the rounds and how the winner is reached:
[Divergence from STAR]
STAR = Bree
Choose-One (Plurality) = Ari (differs from STAR)
RCV-IRV = Cash (differs from STAR)
Note: no ballots had tied scores, so RCV-IRV vs STAR here is a genuine
method difference, not a tie-breaking artifact.
Note: Ranked Robin (RCV-RR) agrees with STAR, so RCV-IRV is the lone
outlier — the classic center-squeeze signature.
Full round-by-round reports (generated for review):
RCV-IRV rounds: cases_tabulated/ex06_bullet_honest_RCV-IRV_tabulated.txt
--- STAR Voting Method (single winner) ---
[STAR Voting]
Tabulating 9 ballots.
Count × Ari,Bree,Cash
4 × 5, 3, 0
4 × 0, 2, 5
1 × 0, 5, 1
[STAR Voting: Scoring Round]
The two highest-scoring candidates advance to the next round.
Bree -- 25 -- First place
Cash -- 21 -- Second place
Ari -- 20
Bree and Cash advance.
[STAR Voting: Automatic Runoff Round]
The candidate preferred in the most head-to-head matchups wins.
Bree -- 5 -- First place
Cash -- 4
Equal Support -- 0
Bree wins.
Runoff math:
9 ballots cast
− 0 Equal Support (no preference between the two finalists)
─
9 voters with a preference (majority = 5)
Bree 5 (56%) · Cash 4 (44%)
[STAR Voting: Winner — STAR Voting Method (single winner)]
Bree
Full audit — preference matrix, Condorcet, and score distribution¶
--- Runoff (Preference) Matrix ---
Head-to-head / pairwise comparison
Legend: For - Equal Support - Against
* indicates Top 2 Finalist
| Ari | * Bree | * Cash |
-----------------------------------------------------
Ari > | --- |4 - 0 - 5 |4 - 0 - 5 |
* Bree > | 5 - 0 - 4 | --- |5 - 0 - 4 |
* Cash > | 5 - 0 - 4 |4 - 0 - 5 | --- |
[Condorcet Winner]
Condorcet Winner: Bree — matches the STAR winner
[Condorcet Loser]
Condorcet Loser: Ari — loses every head-to-head matchup — elected by Choose-One (Plurality)!
[Score Distribution] (how many ballots gave each star rating)
Score
Candidate 5 4 3 2 1 0 | Total Avg
Ari 4 0 0 0 0 5 | 20 2.2
Bree 1 0 4 4 0 0 | 25 2.8
Cash 4 0 0 0 1 4 | 21 2.3
Everything in one file: the _tabulated mirror (regenerated on every run; every analysis forced on).
Run it yourself:
python STARVote_LH_tabulation_engine/starvote_larry_hastings.py 01_STAR/05_Practice/cases/ex06_bullet_honest.yaml
See also¶
- Methods disagree on this election — its entry in the divergence review ledger
- Runoff reversal (worked set)
- Glossary · all cases by method
More cases in this set: ex01_district_combined · ex01_district_east · ex01_district_west · ex02_bella_exits · ex02_nine_ballots · ex02_tenth_ballot · ex03_five_verdicts · ex04_olympics_1994 · ex05_center_squeeze · ex06_bullet_backfire · ex07_vanishing_votes · ex08_minimal_reversal_2c · ex08_minimal_reversal_3c · ex09_game_night_cycle · ex10_generous · ex10_reticent · ex11_spoiler_added · ex11_two_way_base · ex12_bloc_sweep · ex12_proportional_share · ex13_approve3 · ex13_approve4 · ex13_bullet · ex13_opinions · ex14_two_novels · ex14_two_novels_fullranks · ex15_approval_pairwise · ex15_approval_yes_no · ex15_score_profile








