====================================================================== SOURCE FILE: p3_sincere_star.yaml TABULATED FILE: p3_sincere_star_tabulated.txt ====================================================================== election_title: "P3 sincere — STAR elects Dublin (ranks converted 5/4/3/2/0)" scenario_description: |- The same seven sincere voters under STAR, with each ranking converted to scores on a 5/4/3/2/0 spacing (five candidates will not fit 0-5 evenly, so some spacing must be chosen; this outcome is robust — 5/4/3/1/0 and 5/3/2/1/0 also elect Dublin). Scoring round: Dublin 23, Edinburgh 22, Cork 20, Bergen 17, Athens 16. Finalists Dublin and Edinburgh; the runoff goes to Dublin 5-2, because Dublin beats Edinburgh head-to-head. So STAR and plurality agree on Dublin here while Copeland/Ranked Robin and Borda both say Edinburgh. The manipulated counterpart is p3_manip_star.yaml — STAR is manipulable on this profile too. bv_test_id: BV2253 bv_election_id: 4w96tr bv_results_url: https://bettervoting.com/4w96tr/results voting_method: STAR num_winners: 1 ballots: |- Athens,Bergen,Cork,Dublin,Edinburgh 2:3,0,4,2,5 3:0,3,2,5,4 2:5,4,3,2,0 expected_winners: - Dublin # file: p3_sincere_star.yaml ====================================================================== TABULATION RESULTS ====================================================================== === P3 sincere — STAR elects Dublin (ranks converted 5/4/3/2/0) === The same seven sincere voters under STAR, with each ranking converted to scores on a 5/4/3/2/0 spacing (five candidates will not fit 0-5 evenly, so some spacing must be chosen; this outcome is robust — 5/4/3/1/0 and 5/3/2/1/0 also elect Dublin). Scoring round: Dublin 23, Edinburgh 22, Cork 20, Bergen 17, Athens 16. Finalists Dublin and Edinburgh; the runoff goes to Dublin 5-2, because Dublin beats Edinburgh head-to-head. So STAR and plurality agree on Dublin here while Copeland/Ranked Robin and Borda both say Edinburgh. The manipulated counterpart is p3_manip_star.yaml — STAR is manipulable on this profile too. --- Runoff (Preference) Matrix --- Head-to-head / pairwise comparison Legend: For - Equal Support - Against * indicates Top 2 Finalist | Athens | Bergen | Cork | * Dublin | * Edinburgh | ----------------------------------------------------------------------------------------------- Athens > | --- | 4 - 0 - 3 | 2 - 0 - 5 | 4 - 0 - 3 | 2 - 0 - 5 | Bergen > | 3 - 0 - 4 | --- | 5 - 0 - 2 | 2 - 0 - 5 | 2 - 0 - 5 | Cork > | 5 - 0 - 2 | 2 - 0 - 5 | --- | 4 - 0 - 3 | 2 - 0 - 5 | * Dublin > | 3 - 0 - 4 | 5 - 0 - 2 | 3 - 0 - 4 | --- | 5 - 0 - 2 | * Edinburgh > | 5 - 0 - 2 | 5 - 0 - 2 | 5 - 0 - 2 | 2 - 0 - 5 | --- | [Condorcet Winner] No Condorcet winner (majority cycle: Athens > Bergen > Cork > Athens) [Divergence from STAR] STAR = Dublin Approval = Bergen (differs from STAR) RCV-RR = Edinburgh (differs from STAR) Full round-by-round reports (generated for review): RCV-RR round-robin: cases_tabulated/p3_sincere_star_RCV-RR_tabulated.txt --- STAR Voting Method (single winner) --- [STAR Voting] Tabulating 7 ballots. Count × Athens,Bergen,Cork,Dublin,Edinburgh 3 × 0, 3, 2, 5, 4 2 × 3, 0, 4, 2, 5 2 × 5, 4, 3, 2, 0 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg Athens 2 0 2 0 0 3 | 16 2.3 Bergen 0 2 3 0 0 2 | 17 2.4 Cork 0 2 2 3 0 0 | 20 2.9 Dublin 3 0 0 4 0 0 | 23 3.3 Edinburgh 2 3 0 0 0 2 | 22 3.1 [STAR Voting: Scoring Round] The two highest-scoring candidates advance to the next round. Dublin -- 23 -- First place Edinburgh -- 22 -- Second place Cork -- 20 Bergen -- 17 Athens -- 16 Dublin and Edinburgh advance. [STAR Voting: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Dublin -- 5 -- First place Edinburgh -- 2 Equal Support -- 0 Dublin wins. Runoff math: 7 ballots cast − 0 Equal Support (no preference between the two finalists) ─ 7 voters with a preference (majority = 4) Dublin 5 (71%) · Edinburgh 2 (29%) [STAR Voting: Winner — STAR Voting Method (single winner)] Dublin