====================================================================== SOURCE FILE: pineapple_25pct.yaml TABULATED FILE: pineapple_25pct_tabulated.txt ====================================================================== bv_test_id: BV2217 bv_election_id: mvxbxr bv_results_url: https://bettervoting.com/mvxbxr/results election_title: "Pineapple progression (2/3) — 25% wins Choose-One, but Cheese is the real choice" scenario_description: |- Rung 2 of the pineapple progression. Add a fourth topping and Choose-One gets worse: with the fan clubs split four ways, Pineapple now wins on just 25% — a quarter of the table picking the pizza the other three-quarters didn't ask for. Cheese is still everybody's happy second, still the Condorcet winner, and STAR / Ranked Robin / Approval still elect it. Same story, more toppings, smaller mandate. Lesson: README.md voting_method: STAR num_winners: 1 ballots: |- Count:Pineapple,Anchovy,Mushroom,Olive,Cheese 25:5,0,0,0,4 23:0,5,0,0,4 23:0,0,5,0,4 23:0,0,0,5,4 6:0,0,0,0,5 expected_winners: - Cheese # file: pineapple_25pct.yaml ====================================================================== TABULATION RESULTS ====================================================================== === Pineapple progression (2/3) — 25% wins Choose-One, but Cheese is the real choice === Rung 2 of the pineapple progression. Add a fourth topping and Choose-One gets worse: with the fan clubs split four ways, Pineapple now wins on just 25% — a quarter of the table picking the pizza the other three-quarters didn't ask for. Cheese is still everybody's happy second, still the Condorcet winner, and STAR / Ranked Robin / Approval still elect it. Same story, more toppings, smaller mandate. Lesson: README.md --- Runoff (Preference) Matrix --- Head-to-head / pairwise comparison Legend: For - Equal Support - Against * indicates Top 2 Finalist | * Pineapple | Anchovy | Mushroom | Olive | * Cheese | ----------------------------------------------------------------------------------------------- * Pineapple > | --- |25 - 52 - 23 |25 - 52 - 23 |25 - 52 - 23 |25 - 0 - 75 | Anchovy > | 23 - 52 - 25 | --- |23 - 54 - 23 |23 - 54 - 23 |23 - 0 - 77 | Mushroom > | 23 - 52 - 25 |23 - 54 - 23 | --- |23 - 54 - 23 |23 - 0 - 77 | Olive > | 23 - 52 - 25 |23 - 54 - 23 |23 - 54 - 23 | --- |23 - 0 - 77 | * Cheese > | 75 - 0 - 25 |77 - 0 - 23 |77 - 0 - 23 |77 - 0 - 23 | --- | [Condorcet Winner] Condorcet Winner: Cheese — matches the STAR winner [Condorcet Loser] No strict Condorcet loser; jointly weak Condorcet losers: Anchovy, Mushroom, Olive (winless — pairwise ties) [Divergence from STAR] STAR = Cheese Choose-One (Plurality) = Pineapple (differs from STAR) RCV-IRV = Pineapple (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/pineapple_25pct_RCV-IRV_tabulated.txt --- STAR Voting Method (single winner) --- [STAR Voting] Tabulating 100 ballots. Count × Pineapple,Anchovy,Mushroom,Olive,Cheese 25 × 5, 0, 0, 0, 4 23 × 0, 5, 0, 0, 4 23 × 0, 0, 5, 0, 4 23 × 0, 0, 0, 5, 4 6 × 0, 0, 0, 0, 5 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg Pineapple 25 0 0 0 0 75 | 125 1.3 Anchovy 23 0 0 0 0 77 | 115 1.2 Mushroom 23 0 0 0 0 77 | 115 1.2 Olive 23 0 0 0 0 77 | 115 1.2 Cheese 6 94 0 0 0 0 | 406 4.1 [STAR Voting: Scoring Round] The two highest-scoring candidates advance to the next round. Cheese -- 406 -- First place Pineapple -- 125 -- Second place Anchovy -- 115 Mushroom -- 115 Olive -- 115 Cheese and Pineapple advance. [STAR Voting: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Cheese -- 75 -- First place Pineapple -- 25 Equal Support -- 0 Cheese wins. Runoff math: 100 ballots cast − 0 Equal Support (no preference between the two finalists) ─── 100 voters with a preference (majority = 51) Cheese 75 (75%) · Pineapple 25 (25%) [STAR Voting: Winner — STAR Voting Method (single winner)] Cheese