====================================================================== SOURCE FILE: 07a_c5_b36_herb-council-bloc-3-seats.yaml TABULATED FILE: 07a_c5_b36_herb-council-bloc-3-seats_tabulated.txt ====================================================================== election_title: The Herb Garden Council — Bloc STAR, 3 seats (the majority can sweep) bv_test_id: BV2244 bv_election_id: 9dx494 bv_results_url: https://bettervoting.com/9dx494/results scenario_description: |- One garden, 36 ballots, three seats - and TWO philosophies of 'three winners'. This is a same-ballots TWIN PAIR: file 07a tabulates Bloc STAR (single-winner STAR run once per seat - a cohesive majority can take every seat), file 07b tabulates Allocated Score / STAR-PR on the IDENTICAL rows (each Hare quota of voters fills one seat, ballots spent on a winner are reweighted). A kitchen bloc slates Basil-Chive-Dill; a tea caucus backs Anise & Endive. Same opinions, same styles, same rows - different method, different council. The electorate (36 ballots, all individual rows): - kitchen bloc: 20 voters (10 slate, 4 bullet, 4 nuanced, 2 gentle) - tea caucus: 16 voters (9 nuanced, 4 slate, 3 cliff35) Ballot styles in play (taxonomy: 01_STAR/01_Learn/voting_styles/README.md): - nuanced: full 0-5 range, honest gaps, ties allowed - bullet: choose-one transplant: favorite 5, rest 0/blank - slate: partisan slate: equal 5s for the in-group, 0 outside - gentle: gentle soul: everything squeezed into 3-5, no zeros - cliff35: cliff ballot: 0 or 3-5, nothing in between What the frozen seed produced: Seats: Basil, Chive, Dill. kitchen bloc seats 3 of its 3-name slate; tea caucus seats 0 of its 2-name slate. Per-seat runoff margins: 2, 3, 0. The final seat's runoff is TIED - resolved by STAR's official tiebreaker ladder. TWIN FILE (identical ballots, other method): 07b_c5_b36_herb-council-pr-3-seats.yaml tabulates allocated and seats Anise, Basil, Chive. RANDOM-BUT-HUMAN, reproducible: generated by 06_Other/ballot_style_lab/generate_ballot_styles.py (scenario 'herb_council', seed 57) - utilities sampled from the faction model above, then rendered through each voter's ballot style. Per 07_Concepts/topics/simulate_utilities_not_ballots.md this is the 'stress-test the tabulator' job (with human-shaped renderings), not a method-welfare comparison. Regenerate byte-identically: python generate_ballot_styles.py --emit herb_council voting_method: Bloc STAR num_winners: 3 ballots: |- Anise, Basil, Chive, Dill, Endive 5, 0, 2, 1, 4 0, 5, 0, 0, 0 5, 0, 0, 0, 5 5, 0, 0, 0, 5 -, 5, 5, 5, - -, 5, 5, 5, - 0, 5, 3, 4, 0 0, 5, 5, 5, 0 -, 5, 5, 5, - 5, 1, 0, 1, 4 3, 5, 5, 5, 3 0, 5, 5, 5, 0 5, 0, 0, 0, 5 5, 1, 1, 0, 4 -, 5, 5, 5, - 5, 0, 0, 0, 5 5, 0, 0, 0, 5 -, 5, -, -, - 0, 5, 5, 5, 0 4, 0, 2, 1, 5 0, 5, 5, 5, 0 5, 0, 1, 2, 4 3, 5, 5, 4, 3 3, 0, 2, 1, 5 0, 5, 5, 5, 0 0, 5, 5, 4, 0 0, 5, 5, 5, 0 5, 1, 1, 0, 3 0, 5, 5, 3, 0 5, -, -, -, 5 0, 5, 5, 5, 0 -, 5, -, -, - -, 5, -, -, - 5, 0, 0, 0, 5 5, 0, 0, 1, 5 4, 0, 0, 1, 5 expected_winners: - Basil - Chive - Dill # file: 07a_c5_b36_herb-council-bloc-3-seats.yaml ====================================================================== TABULATION RESULTS ====================================================================== === The Herb Garden Council — Bloc STAR, 3 seats (the majority can sweep) === One garden, 36 ballots, three seats - and TWO philosophies of 'three winners'. This is a same-ballots TWIN PAIR: file 07a tabulates Bloc STAR (single-winner STAR run once per seat - a cohesive majority can take every seat), file 07b tabulates Allocated Score / STAR-PR on the IDENTICAL rows (each Hare quota of voters fills one seat, ballots spent on a winner are reweighted). A kitchen bloc slates Basil-Chive-Dill; a tea caucus backs Anise & Endive. Same opinions, same styles, same rows - different method, different council. The electorate (36 ballots, all individual rows): - kitchen bloc: 20 voters (10 slate, 4 bullet, 4 nuanced, 2 gentle) - tea caucus: 16 voters (9 nuanced, 4 slate, 3 cliff35) Ballot styles in play (taxonomy: 01_STAR/01_Learn/voting_styles/README.md): - nuanced: full 0-5 range, honest gaps, ties allowed - bullet: choose-one transplant: favorite 5, rest 0/blank - slate: partisan slate: equal 5s for the in-group, 0 outside - gentle: gentle soul: everything squeezed into 3-5, no zeros - cliff35: cliff ballot: 0 or 3-5, nothing in between What the frozen seed produced: Seats: Basil, Chive, Dill. kitchen bloc seats 3 of its 3-name slate; tea caucus seats 0 of its 2-name slate. Per-seat runoff margins: 2, 3, 0. The final seat's runoff is TIED - resolved by STAR's official tiebreaker ladder. TWIN FILE (identical ballots, other method): 07b_c5_b36_herb-council-pr-3-seats.yaml tabulates allocated and seats Anise, Basil, Chive. RANDOM-BUT-HUMAN, reproducible: generated by 06_Other/ballot_style_lab/generate_ballot_styles.py (scenario 'herb_council', seed 57) - utilities sampled from the faction model above, then rendered through each voter's ballot style. Per 07_Concepts/topics/simulate_utilities_not_ballots.md this is the 'stress-test the tabulator' job (with human-shaped renderings), not a method-welfare comparison. Regenerate byte-identically: python generate_ballot_styles.py --emit herb_council --- Preference Matrix --- Head-to-head / pairwise comparison Legend: For - Equal Support - Against Informational only — not part of the 3-winner count below, so no Top-2 finalists are marked. | Anise | Basil | Chive | Dill | Endive | ----------------------------------------------------------------------------------------- Anise > | --- |16 - 0 - 20 |16 - 4 - 16 |16 - 4 - 16 | 5 - 28 - 3 | Basil > | 20 - 0 - 16 | --- | 6 - 26 - 4 |10 - 20 - 6 |20 - 0 - 16 | Chive > | 16 - 4 - 16 | 4 - 26 - 6 | --- | 8 - 23 - 5 |16 - 4 - 16 | Dill > | 16 - 4 - 16 | 6 - 20 - 10 | 5 - 23 - 8 | --- |16 - 4 - 16 | Endive > | 3 - 28 - 5 |16 - 0 - 20 |16 - 4 - 16 |16 - 4 - 16 | --- | [Condorcet Winner] Condorcet Winner: Basil — matches the STAR winner [Condorcet Loser] No strict Condorcet loser; jointly weak Condorcet losers: Dill, Endive (winless — pairwise ties) --- Bloc STAR Voting Method (3 winners) --- [Bloc STAR] Tabulating 36 ballots to fill 3 seats. Count × Anise,Basil,Chive,Dill,Endive 7 × 0, 5, 5, 5, 0 6 × 5, 0, 0, 0, 5 4 × -, 5, 5, 5, - 3 × -, 5, -, -, - 1 × 5, 0, 2, 1, 4 1 × 0, 5, 0, 0, 0 1 × 0, 5, 3, 4, 0 1 × 5, 1, 0, 1, 4 1 × 3, 5, 5, 5, 3 1 × 5, 1, 1, 0, 4 1 × 4, 0, 2, 1, 5 1 × 5, 0, 1, 2, 4 1 × 3, 5, 5, 4, 3 1 × 3, 0, 2, 1, 5 1 × 0, 5, 5, 4, 0 1 × 5, 1, 1, 0, 3 1 × 0, 5, 5, 3, 0 1 × 5, -, -, -, 5 1 × 5, 0, 0, 1, 5 1 × 4, 0, 0, 1, 5 ('-' = left blank / abstained; '0' = scored zero — both count as 0 stars.) [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 Abs | Total Avg all Avg rated Anise 13 2 3 0 0 11 7 | 82 2.3 2.8 Basil 20 0 0 0 3 12 1 | 103 2.9 2.9 Chive 15 0 1 3 3 10 4 | 87 2.4 2.7 Dill 12 3 1 1 6 9 4 | 83 2.3 2.6 Endive 11 4 3 0 0 11 7 | 80 2.2 2.8 Avg all = Total / all ballots — a blank counts as 0, so this is the Total the Scoring Round ranks on, per ballot. Avg rated = Total / the ballots that scored this candidate (Abs excluded) — support among voters who had an opinion. [Bloc STAR: Round 1: Scoring Round] The two highest-scoring candidates advance to the next round. Basil -- 103 -- First place Chive -- 87 -- Second place Dill -- 83 Anise -- 82 Endive -- 80 Basil and Chive advance. [Bloc STAR: Round 1: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Basil -- 6 -- First place Chive -- 4 Equal Support -- 26 Basil wins. Runoff math: 36 ballots cast − 26 Equal Support (no preference between the two finalists) ── 10 voters with a preference (majority = 6) Basil 6 (60%) · Chive 4 (40%) ────────────────────────────────────────────────── [Bloc STAR: Round 2: Scoring Round] The two highest-scoring candidates advance to the next round. Chive -- 87 -- First place Dill -- 83 -- Second place Anise -- 82 Endive -- 80 Chive and Dill advance. [Bloc STAR: Round 2: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Chive -- 8 -- First place Dill -- 5 Equal Support -- 23 Chive wins. Runoff math: 36 ballots cast − 23 Equal Support (no preference between the two finalists) ── 13 voters with a preference (majority = 7) Chive 8 (62%) · Dill 5 (38%) ────────────────────────────────────────────────── [Bloc STAR: Round 3: Scoring Round] The two highest-scoring candidates advance to the next round. Dill -- 83 -- First place Anise -- 82 -- Second place Endive -- 80 Dill and Anise advance. [Bloc STAR: Round 3: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Anise -- 16 -- Tied for first place Dill -- 16 -- Tied for first place Equal Support -- 4 There's a two-way tie for first. [Bloc STAR: Round 3: Automatic Runoff Round: First tiebreaker] The highest-scoring candidate wins. Dill -- 83 -- First place Anise -- 82 Dill wins. [Bloc STAR: Winners — Bloc STAR Voting Method (3 winners)] Basil Chive Dill