====================================================================== SOURCE FILE: blocs_bloc_c9_b10.yaml TABULATED FILE: blocs_bloc_c9_b10_tabulated.txt ====================================================================== election_title: Left, Centre, Right — Bloc STAR fills the council scenario_description: > Ten voters split into three camps — six on the left, two in the centre, two on the right — choosing three seats from nine candidates, three per camp. Every voter scores their own camp highly, the neighbouring camp modestly, and the far camp at zero. Identical ballots to blocs_pr_c9_b10.yaml; only the count differs. This is the majoritarian half: with every ballot at full weight for every seat, the largest camp decides all three. voting_method: bloc num_winners: 3 ballots: |- L1,L2,L3,C1,C2,C3,R1,R2,R3 5,5,4,2,2,1,0,0,0 # Left voter 1 5,4,5,2,1,2,0,0,0 # Left voter 2 5,5,4,1,2,2,0,0,0 # Left voter 3 4,5,5,2,2,1,0,0,0 # Left voter 4 5,4,5,2,2,1,0,0,0 # Left voter 5 5,5,4,2,1,2,0,0,0 # Left voter 6 2,2,1,5,5,4,2,2,1 # Centre voter 1 1,2,2,5,4,5,2,1,2 # Centre voter 2 0,0,0,2,2,1,5,5,4 # Right voter 1 0,0,0,1,2,2,5,4,5 # Right voter 2 # file: blocs_bloc_c9_b10.yaml ====================================================================== TABULATION RESULTS ====================================================================== === Left, Centre, Right — Bloc STAR fills the council === Ten voters split into three camps — six on the left, two in the centre, two on the right — choosing three seats from nine candidates, three per camp. Every voter scores their own camp highly, the neighbouring camp modestly, and the far camp at zero. Identical ballots to blocs_pr_c9_b10.yaml; only the count differs. This is the majoritarian half: with every ballot at full weight for every seat, the largest camp decides all three. --- 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. | L1 | L2 | L3 | C1 | C2 | C3 | R1 | R2 | R3 | ----------------------------------------------------------------------------------------------------------------------------- L1 > | --- |2 - 6 - 2 |4 - 4 - 2 |6 - 0 - 4 |6 - 0 - 4 |6 - 0 - 4 |6 - 1 - 3 |6 - 2 - 2 |7 - 0 - 3 | L2 > | 2 - 6 - 2 | --- |4 - 4 - 2 |6 - 0 - 4 |6 - 0 - 4 |6 - 0 - 4 |6 - 2 - 2 |7 - 1 - 2 |7 - 1 - 2 | L3 > | 2 - 4 - 4 |2 - 4 - 4 | --- |6 - 0 - 4 |6 - 0 - 4 |6 - 0 - 4 |6 - 1 - 3 |7 - 0 - 3 |6 - 2 - 2 | C1 > | 4 - 0 - 6 |4 - 0 - 6 |4 - 0 - 6 | --- |3 - 5 - 2 |5 - 3 - 2 |8 - 0 - 2 |8 - 0 - 2 |8 - 0 - 2 | C2 > | 4 - 0 - 6 |4 - 0 - 6 |4 - 0 - 6 |2 - 5 - 3 | --- |5 - 2 - 3 |8 - 0 - 2 |8 - 0 - 2 |8 - 0 - 2 | C3 > | 4 - 0 - 6 |4 - 0 - 6 |4 - 0 - 6 |2 - 3 - 5 |3 - 2 - 5 | --- |8 - 0 - 2 |8 - 0 - 2 |8 - 0 - 2 | R1 > | 3 - 1 - 6 |2 - 2 - 6 |3 - 1 - 6 |2 - 0 - 8 |2 - 0 - 8 |2 - 0 - 8 | --- |2 - 8 - 0 |2 - 8 - 0 | R2 > | 2 - 2 - 6 |2 - 1 - 7 |3 - 0 - 7 |2 - 0 - 8 |2 - 0 - 8 |2 - 0 - 8 |0 - 8 - 2 | --- |2 - 6 - 2 | R3 > | 3 - 0 - 7 |2 - 1 - 7 |2 - 2 - 6 |2 - 0 - 8 |2 - 0 - 8 |2 - 0 - 8 |0 - 8 - 2 |2 - 6 - 2 | --- | [Condorcet Winner] No strict Condorcet winner; unbeaten candidates: L1, L2 (pairwise ties) [Condorcet Loser] No strict Condorcet loser; jointly weak Condorcet losers: R2, R3 (winless — pairwise ties) [Divergence from STAR] STAR = L1 RCV-RR = L2 (differs from STAR) Full round-by-round reports (generated for review): RCV-RR round-robin: cases_tabulated/blocs_bloc_c9_b10_RCV-RR_tabulated.txt --- Bloc STAR Voting Method (3 winners) --- [Bloc STAR] Tabulating 10 ballots to fill 3 seats. L1,L2,L3,C1,C2,C3,R1,R2,R3 5, 5, 4, 2, 2, 1, 0, 0, 0 5, 4, 5, 2, 1, 2, 0, 0, 0 5, 5, 4, 1, 2, 2, 0, 0, 0 4, 5, 5, 2, 2, 1, 0, 0, 0 5, 4, 5, 2, 2, 1, 0, 0, 0 5, 5, 4, 2, 1, 2, 0, 0, 0 2, 2, 1, 5, 5, 4, 2, 2, 1 1, 2, 2, 5, 4, 5, 2, 1, 2 0, 0, 0, 2, 2, 1, 5, 5, 4 0, 0, 0, 1, 2, 2, 5, 4, 5 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg L1 5 1 0 1 1 2 | 32 3.2 L2 4 2 0 2 0 2 | 32 3.2 L3 3 3 0 1 1 2 | 30 3.0 C1 2 0 0 6 2 0 | 24 2.4 C2 1 1 0 6 2 0 | 23 2.3 C3 1 1 0 4 4 0 | 21 2.1 R1 2 0 0 2 0 6 | 14 1.4 R2 1 1 0 1 1 6 | 12 1.2 R3 1 1 0 1 1 6 | 12 1.2 [Bloc STAR: Round 1: Scoring Round] The two highest-scoring candidates advance to the next round. L1 -- 32 -- First place L2 -- 32 -- Second place L3 -- 30 C1 -- 24 C2 -- 23 C3 -- 21 R1 -- 14 R2 -- 12 R3 -- 12 L1 and L2 advance. [Bloc STAR: Round 1: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. L1 -- 2 -- Tied for first place L2 -- 2 -- Tied for first place Equal Support -- 6 There's a two-way tie for first. [Bloc STAR: Round 1: Automatic Runoff Round: First tiebreaker] The highest-scoring candidate wins. L1 -- 32 -- Tied for first place L2 -- 32 -- 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. L1 -- 5 -- First place L2 -- 4 L1 wins. ────────────────────────────────────────────────── [Bloc STAR: Round 2: Scoring Round] The two highest-scoring candidates advance to the next round. L2 -- 32 -- First place L3 -- 30 -- Second place C1 -- 24 C2 -- 23 C3 -- 21 R1 -- 14 R2 -- 12 R3 -- 12 L2 and L3 advance. [Bloc STAR: Round 2: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. L2 -- 4 -- First place L3 -- 2 Equal Support -- 4 L2 wins. Runoff math: 10 ballots cast − 4 Equal Support (no preference between the two finalists) ── 6 voters with a preference (majority = 4) L2 4 (67%) · L3 2 (33%) ────────────────────────────────────────────────── [Bloc STAR: Round 3: Scoring Round] The two highest-scoring candidates advance to the next round. L3 -- 30 -- First place C1 -- 24 -- Second place C2 -- 23 C3 -- 21 R1 -- 14 R2 -- 12 R3 -- 12 L3 and C1 advance. [Bloc STAR: Round 3: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. L3 -- 6 -- First place C1 -- 4 Equal Support -- 0 L3 wins. Runoff math: 10 ballots cast − 0 Equal Support (no preference between the two finalists) ── 10 voters with a preference (majority = 6) L3 6 (60%) · C1 4 (40%) [Bloc STAR: Winners — Bloc STAR Voting Method (3 winners)] L1 L2 L3