BV750 — Bloc STAR tie-breaking, every ballot identical (#1052 family)¶
Generated from bv750_tie_breaking_bloc.yaml — do not edit by hand. Regenerate: python STARVote_LH_tabulation_engine/tools_adam/scripts/build_yaml_pages.py.
Method: Bloc STAR (multi-winner, majoritarian) · 2 seats · Expected winners: c, a
Official tie-break (lot) order: c > a > b — consulted only if every deterministic tiebreaker stays tied (how the ladder works).
Scenario¶
The LH reference for BetterVoting test BV750 (real election 3yr2qd, "Block STAR", 2 seats). The extreme flat case: 3 candidates (a, b, c) and 3 ballots that are ALL 5,5,5 — every voter maxes every candidate, so no ballot expresses any preference.
Everyone ties at 15; pairwise is 0-0-0 (all Equal Support); five-star is 3-3-3. Every deterministic rung ties, so the LOT decides both seats. lot [c, a, b] reproduces BetterVoting's random draw: seat 1 c, seat 2 a.
Two BV issues together: 1. #1052 / #1407 — every ballot dropped: the export reports nAbstentions=3, nTallyVotes=0, so BV shows "0 ballots"/the "no ballots have been cast" message. LH counts all 3 (each is Equal Support). An all-equal ballot is a real vote of no-preference, not an abstention. 2. Random tie-break -> non-reproducible (cf. #1063 / #1417): a different draw elects a different pair. The winners are unaffected by the dropped ballots (identical ballots can't separate anyone) — it's the lot order that decides.
Ballots¶
Row 1 = candidate names; each later row is one voter's 0–5 scores (a N × prefix = N identical ballots).
a,b,c
5,5,5
5,5,5
5,5,5
What the engine says¶
The count, step by step — the rounds and how the winner is reached:
--- Bloc STAR Voting Method (2 winners) ---
[Bloc STAR]
Tabulating 3 ballots to fill 2 seats.
Count × a,b,c
3 × 5,5,5
[Bloc STAR: Round 1: Scoring Round]
The two highest-scoring candidates advance to the next round.
a -- 15 -- Tied for first place
b -- 15 -- Tied for first place
c -- 15 -- Tied for first place
There's a three-way tie for first.
[Bloc STAR: Round 1: Scoring Round: First tiebreaker]
The two candidates preferred in the most head-to-head matchups advance.
a -- 0 -- Tied for first place
b -- 0 -- Tied for first place
c -- 0 -- Tied for first place
Equal Support -- 3
There's still a three-way tie for first.
[Bloc STAR: Round 1: Scoring Round: Second tiebreaker]
The two candidates with the most votes of score 5 advance.
a -- 3 -- Tied for first place
b -- 3 -- Tied for first place
c -- 3 -- Tied for first place
There's still a three-way tie for first.
*(Ties are resolved by choosing the tied candidate with the highest-priority official lot number.)*
Lot-number priority order: ['c', 'a', 'b']
[Tiebreaker: Lot Number Priority]
Tie among: ['a', 'b', 'c']
Resolved: ['c', 'a'] (selected by lot-number priority).
[Lot-decided tie — rare]
⚠ The ballots did not break this tie: the deterministic rungs
(pairwise / score, then five-star) all came back equal, so the
pre-published LOT order chose among the tied candidates — the
result here was set by lot, not by the votes. Usually the
"dead rung": no tied candidate held a score-5 vote (five-star
counts fives, not fours). Verify the tied candidates' 5-counts.
[Bloc STAR: Round 1: Automatic Runoff Round]
The candidate preferred in the most head-to-head matchups wins.
a -- 0 -- Tied for first place
c -- 0 -- Tied for first place
Equal Support -- 3
There's a two-way tie for first.
[Bloc STAR: Round 1: Automatic Runoff Round: First tiebreaker]
The highest-scoring candidate wins.
a -- 15 -- Tied for first place
c -- 15 -- Tied for first place
There's still a two-way tie for first.
[Bloc STAR: Round 1: Automatic Runoff Round: Second tiebreaker]
The candidate with the most votes of score 5 wins.
a -- 3 -- Tied for first place
c -- 3 -- Tied for first place
There's still a two-way tie for first.
[Tiebreaker: Lot Number Priority]
Tie among: ['a', 'c']
Resolved: ['c'] (selected by lot-number priority).
[Lot-decided tie — rare]
⚠ The ballots did not break this tie: the deterministic rungs
(pairwise / score, then five-star) all came back equal, so the
pre-published LOT order chose among the tied candidates — the
result here was set by lot, not by the votes. Usually the
"dead rung": no tied candidate held a score-5 vote (five-star
counts fives, not fours). Verify the tied candidates' 5-counts.
──────────────────────────────────────────────────
[Bloc STAR: Round 2: Scoring Round]
The two highest-scoring candidates advance to the next round.
a -- 15 -- First place
b -- 15 -- Second place
a and b advance.
[Bloc STAR: Round 2: Automatic Runoff Round]
The candidate preferred in the most head-to-head matchups wins.
a -- 0 -- Tied for first place
b -- 0 -- Tied for first place
Equal Support -- 3
There's a two-way tie for first.
[Bloc STAR: Round 2: Automatic Runoff Round: First tiebreaker]
The highest-scoring candidate wins.
a -- 15 -- Tied for first place
b -- 15 -- Tied for first place
There's still a two-way tie for first.
[Bloc STAR: Round 2: Automatic Runoff Round: Second tiebreaker]
The candidate with the most votes of score 5 wins.
a -- 3 -- Tied for first place
b -- 3 -- Tied for first place
There's still a two-way tie for first.
[Tiebreaker: Lot Number Priority]
Tie among: ['a', 'b']
Resolved: ['a'] (selected by lot-number priority).
[Lot-decided tie — rare]
⚠ The ballots did not break this tie: the deterministic rungs
(pairwise / score, then five-star) all came back equal, so the
pre-published LOT order chose among the tied candidates — the
result here was set by lot, not by the votes. Usually the
"dead rung": no tied candidate held a score-5 vote (five-star
counts fives, not fours). Verify the tied candidates' 5-counts.
[Bloc STAR: Winners — Bloc STAR Voting Method (2 winners)]
c
a
Full audit — preference matrix, Condorcet, and score distribution¶
--- Preference Matrix ---
Head-to-head / pairwise comparison
Legend: For - Equal Support - Against
Informational only — not part of the 2-winner count below,
so no Top-2 finalists are marked.
| a | b | c |
-----------------------------------------------------
a > | --- |0 - 3 - 0 |0 - 3 - 0 |
b > | 0 - 3 - 0 | --- |0 - 3 - 0 |
c > | 0 - 3 - 0 |0 - 3 - 0 | --- |
[Condorcet Winner]
No strict Condorcet winner; unbeaten candidates: a, b, c (pairwise ties)
[Score Distribution] (how many ballots gave each star rating)
Score
Candidate 5 4 3 2 1 0 | Total Avg
a 3 0 0 0 0 0 | 15 5.0
b 3 0 0 0 0 0 | 15 5.0
c 3 0 0 0 0 0 | 15 5.0
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 02_STAR_Bloc/02_Examples/cases/bv750_tie_breaking_bloc.yaml
See also¶
- Ties & tie-breaking (topic hub)
- The tie-breaking ladder (full chain)
- Ballot & terminology basics
- Glossary · all cases by method
More cases in this set: 00_c3_b3_bloc-baseline-2-seats · 01_c4_b2_bloc-star-2-seats · b484mbm_tie_every_rung · bloc_lot_path_dependence_a_c3_b5 · bloc_lot_path_dependence_b_c3_b5 · bv129_score_tiebreak_bloc · bv130_bloc_pagination_731 · bv130r2_dead_rung_bloc · bv131_guido_bloc · bv132_verify_votes_bloc · bv1525_condorcet_loser_bloc · bv1815_bloc_3c2s_basic · bv1835_8h3yrx_score_leader_no_seat · bv2105_r4dqvd_ice_cream_bloc · bv2105r2_w3vvff_ice_cream_recheck · bv2269_t488h9_race_nobody_can_lose · lackner_skowron_shadow_bloc_star_c7_b12 · race_nobody_can_lose_two_seat_control