====================================================================== SOURCE FILE: bv2137_ywckmg_star.yaml TABULATED FILE: bv2137_ywckmg_star_tabulated.txt ====================================================================== election_title: "Center Squeeze — STAR (ranks→scores): agrees with Condorcet, not IRV" scenario_description: |- One of four races in the Center Squeeze election (BV2137, bvid ywckmg; BV-confirmed). 100 voters, three candidates, ONE ranked electorate tabulated four ways. Anderson is the Condorcet winner (beats Reagan 55–45, Carter 65–35) but holds the fewest first-choices (20). Ranks mapped to 0–5 scores (top=5,bottom=1). Anderson tops the score round (340) and wins the automatic runoff → STAR → Anderson, matching Ranked Robin, unlike IRV. bv_test_id: BV2137 bv_election_id: ywckmg bv_results_url: https://bettervoting.com/ywckmg/results paradoxes: [condorcet-winner] voting_method: STAR num_winners: 1 ballots: |- Reagan,Anderson,Carter 45: 5,3,1 20: 1,5,3 35: 1,3,5 expected_winners: - Anderson # file: bv2137_ywckmg_star.yaml ====================================================================== TABULATION RESULTS ====================================================================== === Center Squeeze — STAR (ranks→scores): agrees with Condorcet, not IRV === One of four races in the Center Squeeze election (BV2137, bvid ywckmg; BV-confirmed). 100 voters, three candidates, ONE ranked electorate tabulated four ways. Anderson is the Condorcet winner (beats Reagan 55–45, Carter 65–35) but holds the fewest first-choices (20). Ranks mapped to 0–5 scores (top=5,bottom=1). Anderson tops the score round (340) and wins the automatic runoff → STAR → Anderson, matching Ranked Robin, unlike IRV. --- Runoff (Preference) Matrix --- Head-to-head / pairwise comparison Legend: For - Equal Support - Against * indicates Top 2 Finalist Note: Carter and Reagan tied at 280 in the Scoring Round, and the head-to-head rung advanced Carter. The * marks who advanced, not who scored highest. | Reagan | * Anderson | * Carter | ------------------------------------------------------------- Reagan > | --- |45 - 0 - 55 |45 - 0 - 55 | * Anderson > | 55 - 0 - 45 | --- |65 - 0 - 35 | * Carter > | 55 - 0 - 45 |35 - 0 - 65 | --- | [Condorcet Winner] Condorcet Winner: Anderson — matches the STAR winner [Condorcet Loser] Condorcet Loser: Reagan — loses every head-to-head matchup — elected by Choose-One (Plurality)! [Divergence from STAR] STAR = Anderson Choose-One (Plurality) = Reagan (differs from STAR) RCV-IRV = Carter (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/bv2137_ywckmg_star_RCV-IRV_tabulated.txt --- STAR Voting Method (single winner) --- [STAR Voting] Tabulating 100 ballots. Count × Reagan,Anderson,Carter 45 × 5, 3, 1 35 × 1, 3, 5 20 × 1, 5, 3 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg Reagan 45 0 0 0 55 0 | 280 2.8 Anderson 20 0 80 0 0 0 | 340 3.4 Carter 35 0 20 0 45 0 | 280 2.8 [STAR Voting: Scoring Round] The two highest-scoring candidates advance to the next round. Anderson -- 340 -- First place Carter -- 280 -- Tied for second place Reagan -- 280 -- Tied for second place Anderson advances, but there's a two-way tie for second. [STAR Voting: Scoring Round: First tiebreaker] The candidate preferred in the most head-to-head matchups advances. Carter -- 55 -- Second place Reagan -- 45 Equal Support -- 0 Anderson and Carter advance. [STAR Voting: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Anderson -- 65 -- First place Carter -- 35 Equal Support -- 0 Anderson wins. Runoff math: 100 ballots cast − 0 Equal Support (no preference between the two finalists) ─── 100 voters with a preference (majority = 51) Anderson 65 (65%) · Carter 35 (35%) [STAR Voting: Winner — STAR Voting Method (single winner)] Anderson