====================================================================== SOURCE FILE: 00_c3_b3_bloc-baseline-2-seats.yaml TABULATED FILE: 00_c3_b3_bloc-baseline-2-seats_tabulated.txt ====================================================================== election_title: "Bloc STAR baseline — 3 candidates, 2 seats (clean, no tiebreak)" scenario_description: |- The smallest Bloc STAR election that actually decides something: 3 candidates, 2 seats, so exactly one candidate is excluded. (A 2-candidate / 2-seat race would be a non-election — both win no matter how anyone votes.) Bloc STAR fills seats by running single-winner STAR once per seat: elect a winner, remove them, re-run on the same ballots. - Seat 1: score all three. Alice (14) and Bruno (12) are the top two and advance; in the runoff Alice is preferred 2-1, so Alice takes seat 1. - Seat 2: remove Alice and re-run on the remaining two. Bruno (12) beats Clara (3) in the runoff 3-0 and takes seat 2. Clara (total 3) is excluded. Both seats are decided cleanly by the ballots — no rung of the tie-break ladder is ever consulted. This is the control the Bloc tie probes vary from. Bloc is majoritarian: a cohesive majority can take every seat. num_winners: 2 voting_method: Bloc STAR ballots: |- Alice,Bruno,Clara 5,3,1 4,5,2 5,4,0 expected_winners: - Alice - Bruno # file: 00_c3_b3_bloc-baseline-2-seats.yaml ====================================================================== TABULATION RESULTS ====================================================================== === Bloc STAR baseline — 3 candidates, 2 seats (clean, no tiebreak) === The smallest Bloc STAR election that actually decides something: 3 candidates, 2 seats, so exactly one candidate is excluded. (A 2-candidate / 2-seat race would be a non-election — both win no matter how anyone votes.) Bloc STAR fills seats by running single-winner STAR once per seat: elect a winner, remove them, re-run on the same ballots. - Seat 1: score all three. Alice (14) and Bruno (12) are the top two and advance; in the runoff Alice is preferred 2-1, so Alice takes seat 1. - Seat 2: remove Alice and re-run on the remaining two. Bruno (12) beats Clara (3) in the runoff 3-0 and takes seat 2. Clara (total 3) is excluded. Both seats are decided cleanly by the ballots — no rung of the tie-break ladder is ever consulted. This is the control the Bloc tie probes vary from. Bloc is majoritarian: a cohesive majority can take every seat. --- 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. | Alice | Bruno | Clara | ----------------------------------------------------- Alice > | --- |2 - 0 - 1 |3 - 0 - 0 | Bruno > | 1 - 0 - 2 | --- |3 - 0 - 0 | Clara > | 0 - 0 - 3 |0 - 0 - 3 | --- | [Condorcet Winner] Condorcet Winner: Alice — matches the STAR winner [Condorcet Loser] Condorcet Loser: Clara — loses every head-to-head matchup --- Bloc STAR Voting Method (2 winners) --- [Bloc STAR] Tabulating 3 ballots to fill 2 seats. Alice,Bruno,Clara 5, 3, 1 4, 5, 2 5, 4, 0 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg Alice 2 1 0 0 0 0 | 14 4.7 Bruno 1 1 1 0 0 0 | 12 4.0 Clara 0 0 0 1 1 1 | 3 1.0 [Bloc STAR: Round 1: Scoring Round] The two highest-scoring candidates advance to the next round. Alice -- 14 -- First place Bruno -- 12 -- Second place Clara -- 3 Alice and Bruno advance. [Bloc STAR: Round 1: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Alice -- 2 -- First place Bruno -- 1 Equal Support -- 0 Alice wins. Runoff math: 3 ballots cast − 0 Equal Support (no preference between the two finalists) ─ 3 voters with a preference (majority = 2) Alice 2 (67%) · Bruno 1 (33%) ────────────────────────────────────────────────── [Bloc STAR: Round 2: Scoring Round] The two highest-scoring candidates advance to the next round. Bruno -- 12 -- First place Clara -- 3 -- Second place Bruno and Clara advance. [Bloc STAR: Round 2: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Bruno -- 3 -- First place Clara -- 0 Equal Support -- 0 Bruno wins. Runoff math: 3 ballots cast − 0 Equal Support (no preference between the two finalists) ─ 3 voters with a preference (majority = 2) Bruno 3 (100%) · Clara 0 (0%) [Bloc STAR: Winners — Bloc STAR Voting Method (2 winners)] Alice Bruno