====================================================================== SOURCE FILE: pineapple_34pct.yaml TABULATED FILE: pineapple_34pct_tabulated.txt ====================================================================== bv_test_id: BV2216 bv_election_id: ht2c3g bv_results_url: https://bettervoting.com/ht2c3g/results election_title: "Pineapple progression (1/3) — 34% wins Choose-One, but Cheese is the real choice" scenario_description: |- Rung 1 of the pineapple progression. A group shares ONE pizza. Three toppings on the menu: Pineapple and Anchovy each have a passionate fan club; plain Cheese is nobody's *favorite* but everybody's easy second — put it on and no one complains. Under Choose-One (mark your one favorite), the biggest fan club wins: Pineapple takes it with 34% — even though 65 of 99 diners would happily eat Cheese and only 34 actually want Pineapple. STAR, Ranked Robin, and Approval all read the whole ballot and pick Cheese, the Condorcet winner (it beats every topping head-to-head). Next rung adds a topping and the winner's share shrinks. Lesson: README.md voting_method: STAR num_winners: 1 ballots: |- Count:Pineapple,Anchovy,Mushroom,Cheese 34:5,0,0,4 33:0,5,0,4 32:0,0,5,4 expected_winners: - Cheese # file: pineapple_34pct.yaml ====================================================================== TABULATION RESULTS ====================================================================== === Pineapple progression (1/3) — 34% wins Choose-One, but Cheese is the real choice === Rung 1 of the pineapple progression. A group shares ONE pizza. Three toppings on the menu: Pineapple and Anchovy each have a passionate fan club; plain Cheese is nobody's *favorite* but everybody's easy second — put it on and no one complains. Under Choose-One (mark your one favorite), the biggest fan club wins: Pineapple takes it with 34% — even though 65 of 99 diners would happily eat Cheese and only 34 actually want Pineapple. STAR, Ranked Robin, and Approval all read the whole ballot and pick Cheese, the Condorcet winner (it beats every topping head-to-head). Next rung adds a topping and the winner's share shrinks. Lesson: README.md --- Runoff (Preference) Matrix --- Head-to-head / pairwise comparison Legend: For - Equal Support - Against * indicates Top 2 Finalist | * Pineapple | Anchovy | Mushroom | * Cheese | -------------------------------------------------------------------------------- * Pineapple > | --- |34 - 32 - 33 |34 - 33 - 32 |34 - 0 - 65 | Anchovy > | 33 - 32 - 34 | --- |33 - 34 - 32 |33 - 0 - 66 | Mushroom > | 32 - 33 - 34 |32 - 34 - 33 | --- |32 - 0 - 67 | * Cheese > | 65 - 0 - 34 |66 - 0 - 33 |67 - 0 - 32 | --- | [Condorcet Winner] Condorcet Winner: Cheese — matches the STAR winner [Condorcet Loser] Condorcet Loser: Mushroom — loses every head-to-head matchup [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_34pct_RCV-IRV_tabulated.txt --- STAR Voting Method (single winner) --- [STAR Voting] Tabulating 99 ballots. Count × Pineapple,Anchovy,Mushroom,Cheese 34 × 5, 0, 0, 4 33 × 0, 5, 0, 4 32 × 0, 0, 5, 4 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg Pineapple 34 0 0 0 0 65 | 170 1.7 Anchovy 33 0 0 0 0 66 | 165 1.7 Mushroom 32 0 0 0 0 67 | 160 1.6 Cheese 0 99 0 0 0 0 | 396 4.0 [STAR Voting: Scoring Round] The two highest-scoring candidates advance to the next round. Cheese -- 396 -- First place Pineapple -- 170 -- Second place Anchovy -- 165 Mushroom -- 160 Cheese and Pineapple advance. [STAR Voting: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Cheese -- 65 -- First place Pineapple -- 34 Equal Support -- 0 Cheese wins. Runoff math: 99 ballots cast − 0 Equal Support (no preference between the two finalists) ── 99 voters with a preference (majority = 50) Cheese 65 (66%) · Pineapple 34 (34%) [STAR Voting: Winner — STAR Voting Method (single winner)] Cheese