====================================================================== SOURCE FILE: center_squeeze_star.yaml TABULATED FILE: center_squeeze_star_tabulated.txt ====================================================================== election_title: Center squeeze — STAR elects the consensus (Center) scenario_description: |- The SAME 27-voter profile as center_squeeze_irv.yaml, translated to 0–5 scores. Center is the broad consensus — the 2nd choice of both poles and the Condorcet winner — but has the fewest first-choices. RCV-IRV eliminates Center first (too little "core support") and elects the polar Left. STAR counts every ballot in both rounds: Center reaches the runoff on strength of support and wins. The [Divergence from STAR] and [Condorcet Winner] lines below show Choose-One = Left, RCV-IRV = Left, STAR = Center = Condorcet winner (also what Ranked Robin would elect). See 07_Concepts/center_squeeze.md. paradoxes: [condorcet-winner] voting_method: STAR num_winners: 1 ballots: |- Count:Left,Center,Right 12:5,4,3 # Left > Center > Right 9:3,4,5 # Right > Center > Left 6:4,5,3 # Center > Left > Right expected_winners: - Center # file: center_squeeze_star.yaml ====================================================================== TABULATION RESULTS ====================================================================== === Center squeeze — STAR elects the consensus (Center) === The SAME 27-voter profile as center_squeeze_irv.yaml, translated to 0–5 scores. Center is the broad consensus — the 2nd choice of both poles and the Condorcet winner — but has the fewest first-choices. RCV-IRV eliminates Center first (too little "core support") and elects the polar Left. STAR counts every ballot in both rounds: Center reaches the runoff on strength of support and wins. The [Divergence from STAR] and [Condorcet Winner] lines below show Choose-One = Left, RCV-IRV = Left, STAR = Center = Condorcet winner (also what Ranked Robin would elect). See 07_Concepts/center_squeeze.md. --- Runoff (Preference) Matrix --- Head-to-head / pairwise comparison Legend: For - Equal Support - Against * indicates Top 2 Finalist | * Left | * Center | Right | ------------------------------------------------------------- * Left > | --- |12 - 0 - 15 |18 - 0 - 9 | * Center > | 15 - 0 - 12 | --- |18 - 0 - 9 | Right > | 9 - 0 - 18 | 9 - 0 - 18 | --- | [Condorcet Winner] Condorcet Winner: Center — matches the STAR winner [Condorcet Loser] Condorcet Loser: Right — loses every head-to-head matchup [Divergence from STAR] STAR = Center Choose-One (Plurality) = Left (differs from STAR) RCV-IRV = Left (differs from STAR) Approval = Left (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/center_squeeze_star_RCV-IRV_tabulated.txt --- STAR Voting Method (single winner) --- [STAR Voting] Tabulating 27 ballots. Count × Left,Center,Right 12 × 5, 4, 3 9 × 3, 4, 5 6 × 4, 5, 3 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg Left 12 6 9 0 0 0 | 111 4.1 Center 6 21 0 0 0 0 | 114 4.2 Right 9 0 18 0 0 0 | 99 3.7 [STAR Voting: Scoring Round] The two highest-scoring candidates advance to the next round. Center -- 114 -- First place Left -- 111 -- Second place Right -- 99 Center and Left advance. [STAR Voting: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Center -- 15 -- First place Left -- 12 Equal Support -- 0 Center wins. Runoff math: 27 ballots cast − 0 Equal Support (no preference between the two finalists) ── 27 voters with a preference (majority = 14) Center 15 (56%) · Left 12 (44%) [STAR Voting: Winner — STAR Voting Method (single winner)] Center