====================================================================== SOURCE FILE: bv2176_p8dp28_star.yaml TABULATED FILE: bv2176_p8dp28_star_tabulated.txt ====================================================================== election_title: "The Post-it RCV example (20 voters) — STAR: Blue wins the runoff RCV-IRV never held" scenario_description: |- One of three races in the Post-it RCV example (BV2176, bvid p8dp28; BV-confirmed). The 20-voter election from Equal Vote's video "Updated: How does RCV work? — With Post-its!" (https://youtu.be/Vte4nly_Neg), using the video's own 0-5 scores from the same voters whose ranked ballots it walks through. Scoring round: Purple 46, Blue 44, Pink 44, Green 38 — Purple advances, and the 44-44 tie for the second finalist breaks head-to-head (Blue is preferred over Pink 10-3). Automatic runoff: Blue beats Purple 10-9 (1 Equal Support) — a Runoff Reversal (the score leader loses the majority check), and it is exactly the 10-9 majority the video surfaces in its "what if Green had been eliminated instead of Blue?" hypothetical. RCV-IRV on these voters' ranked ballots elects Purple without ever holding that matchup (see the companion race). BetterVoting agrees: Blue, with tieBreakType head_to_head on the scoring tie. Live results: https://bettervoting.com/p8dp28/results Companion races: bv2176_p8dp28_irv.yaml, bv2176_p8dp28_ranked_robin.yaml. Overview page: bv2176_p8dp28_postit_rcv_example.md bv_test_id: BV2176 bv_election_id: p8dp28 bv_results_url: https://bettervoting.com/p8dp28/results paradoxes: [condorcet-cycle] voting_method: STAR num_winners: 1 ballots: |- Purple,Green,Blue,Pink 5,0,0,0 5,0,0,0 5,0,0,0 5,0,0,0 5,0,0,0 5,0,0,0 5,0,0,0 0,5,4,3 0,5,4,3 0,5,4,3 0,5,4,3 0,5,4,3 0,5,4,3 0,0,5,4 0,0,5,4 0,4,5,3 4,0,5,0 3,4,0,5 4,0,0,5 0,0,0,5 expected_winners: - Blue # file: bv2176_p8dp28_star.yaml ====================================================================== TABULATION RESULTS ====================================================================== === The Post-it RCV example (20 voters) — STAR: Blue wins the runoff RCV-IRV never held === One of three races in the Post-it RCV example (BV2176, bvid p8dp28; BV-confirmed). The 20-voter election from Equal Vote's video "Updated: How does RCV work? — With Post-its!" (https://youtu.be/Vte4nly_Neg), using the video's own 0-5 scores from the same voters whose ranked ballots it walks through. Scoring round: Purple 46, Blue 44, Pink 44, Green 38 — Purple advances, and the 44-44 tie for the second finalist breaks head-to-head (Blue is preferred over Pink 10-3). Automatic runoff: Blue beats Purple 10-9 (1 Equal Support) — a Runoff Reversal (the score leader loses the majority check), and it is exactly the 10-9 majority the video surfaces in its "what if Green had been eliminated instead of Blue?" hypothetical. RCV-IRV on these voters' ranked ballots elects Purple without ever holding that matchup (see the companion race). BetterVoting agrees: Blue, with tieBreakType head_to_head on the scoring tie. Live results: https://bettervoting.com/p8dp28/results Companion races: bv2176_p8dp28_irv.yaml, bv2176_p8dp28_ranked_robin.yaml. Overview page: bv2176_p8dp28_postit_rcv_example.md --- Runoff (Preference) Matrix --- Head-to-head / pairwise comparison Legend: For - Equal Support - Against * indicates Top 2 Finalist Note: Blue and Pink tied at 44 in the Scoring Round, and the head-to-head rung advanced Blue. The * marks who advanced, not who scored highest. | * Purple | Green | * Blue | Pink | --------------------------------------------------------------------------- * Purple > | --- | 9 - 3 - 8 | 9 - 1 - 10 | 8 - 0 - 12 | Green > | 8 - 3 - 9 | --- | 7 - 9 - 4 | 7 - 8 - 5 | * Blue > | 10 - 1 - 9 | 4 - 9 - 7 | --- |10 - 7 - 3 | Pink > | 12 - 0 - 8 | 5 - 8 - 7 | 3 - 7 - 10 | --- | [Condorcet Winner] No Condorcet winner (majority cycle: Purple > Green > Blue > Pink > Purple) [Divergence from STAR] STAR = Blue Choose-One (Plurality) = Purple (differs from STAR) RCV-IRV = Purple (differs from STAR) Approval = Pink (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/bv2176_p8dp28_star_RCV-IRV_tabulated.txt [Runoff Reversal] - Score Round Winner(s) = (Purple) - Runoff Round Winner = (Blue) Candidate Purple earned the highest total score, but Candidate Blue won the automatic runoff — not a malfunction, STAR working as designed: the runoff elects the finalist preferred by the majority (of voters with a preference). --- STAR Voting Method (single winner) --- [STAR Voting] Tabulating 20 ballots. Count × Purple,Green,Blue,Pink 7 × 5, 0, 0, 0 6 × 0, 5, 4, 3 2 × 0, 0, 5, 4 1 × 0, 4, 5, 3 1 × 4, 0, 5, 0 1 × 3, 4, 0, 5 1 × 4, 0, 0, 5 1 × 0, 0, 0, 5 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg Purple 7 2 1 0 0 10 | 46 2.3 Green 6 2 0 0 0 12 | 38 1.9 Blue 4 6 0 0 0 10 | 44 2.2 Pink 3 2 7 0 0 8 | 44 2.2 [STAR Voting: Scoring Round] The two highest-scoring candidates advance to the next round. Purple -- 46 -- First place Blue -- 44 -- Tied for second place Pink -- 44 -- Tied for second place Green -- 38 Purple 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. Blue -- 10 -- Second place Pink -- 3 Equal Support -- 7 Purple and Blue advance. [STAR Voting: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Blue -- 10 -- First place Purple -- 9 Equal Support -- 1 Blue wins. Runoff math: 20 ballots cast − 1 Equal Support (no preference between the two finalists) ── 19 voters with a preference (majority = 10) Blue 10 (53%) · Purple 9 (47%) [STAR Voting: Winner — STAR Voting Method (single winner)] Blue