====================================================================== SOURCE FILE: bv2147_9gdrqg_star.yaml TABULATED FILE: bv2147_9gdrqg_star_tabulated.txt ====================================================================== election_title: "Felsenthal Ex.3 District I — STAR: also Bruno" scenario_description: |- Race 2 of 2 in District I of the Felsenthal Reinforcement-paradox trio (BV2147, bvid 9gdrqg; BV-confirmed). Source: Dan S. Felsenthal (2010), Appendix A2, Example 3 — see bv2147_9gdrqg_irv.yaml for the setup. The same 17 ballots with ranks mapped to 0–5 scores (5/3/1). Scores: Alma 47, Bruno 51, Cora 55 — Cora and Bruno advance, Bruno wins the automatic runoff 10–7. Same winner as the runoff procedure in this district; the reinforcement contrast appears at the combined stage (BV2149), where STAR stays with Bruno and the runoff procedure flips to Alma. Live results: https://bettervoting.com/9gdrqg/results bv_test_id: BV2147 bv_election_id: 9gdrqg bv_results_url: https://bettervoting.com/9gdrqg/results paradoxes: [multiple-districts] voting_method: STAR num_winners: 1 ballots: |- Alma,Bruno,Cora 5,3,1 5,3,1 5,3,1 5,3,1 3,5,1 1,5,3 1,5,3 1,5,3 1,5,3 1,5,3 3,1,5 3,1,5 3,1,5 3,1,5 3,1,5 3,1,5 1,3,5 expected_winners: - Bruno # file: bv2147_9gdrqg_star.yaml ====================================================================== TABULATION RESULTS ====================================================================== === Felsenthal Ex.3 District I — STAR: also Bruno === Race 2 of 2 in District I of the Felsenthal Reinforcement-paradox trio (BV2147, bvid 9gdrqg; BV-confirmed). Source: Dan S. Felsenthal (2010), Appendix A2, Example 3 — see bv2147_9gdrqg_irv.yaml for the setup. The same 17 ballots with ranks mapped to 0–5 scores (5/3/1). Scores: Alma 47, Bruno 51, Cora 55 — Cora and Bruno advance, Bruno wins the automatic runoff 10–7. Same winner as the runoff procedure in this district; the reinforcement contrast appears at the combined stage (BV2149), where STAR stays with Bruno and the runoff procedure flips to Alma. Live results: https://bettervoting.com/9gdrqg/results --- Runoff (Preference) Matrix --- Head-to-head / pairwise comparison Legend: For - Equal Support - Against * indicates Top 2 Finalist | Alma | * Bruno | * Cora | ------------------------------------------------------------- Alma > | --- |10 - 0 - 7 | 5 - 0 - 12 | * Bruno > | 7 - 0 - 10 | --- |10 - 0 - 7 | * Cora > | 12 - 0 - 5 | 7 - 0 - 10 | --- | [Condorcet Winner] No Condorcet winner (majority cycle: Alma > Bruno > Cora > Alma) [Divergence from STAR] STAR = Bruno Choose-One (Plurality) = Cora (differs from STAR) Approval = Cora (differs from STAR) RCV-RR = Cora (differs from STAR) Full round-by-round reports (generated for review): RCV-RR round-robin: cases_tabulated/bv2147_9gdrqg_star_RCV-RR_tabulated.txt [Runoff Reversal] - Score Round Winner(s) = (Cora) - Runoff Round Winner = (Bruno) Candidate Cora earned the highest total score, but Candidate Bruno 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 17 ballots. Count × Alma,Bruno,Cora 6 × 3, 1, 5 5 × 1, 5, 3 4 × 5, 3, 1 1 × 3, 5, 1 1 × 1, 3, 5 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg Alma 4 0 7 0 6 0 | 47 2.8 Bruno 6 0 5 0 6 0 | 51 3.0 Cora 7 0 5 0 5 0 | 55 3.2 [STAR Voting: Scoring Round] The two highest-scoring candidates advance to the next round. Cora -- 55 -- First place Bruno -- 51 -- Second place Alma -- 47 Cora and Bruno advance. [STAR Voting: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Bruno -- 10 -- First place Cora -- 7 Equal Support -- 0 Bruno wins. Runoff math: 17 ballots cast − 0 Equal Support (no preference between the two finalists) ── 17 voters with a preference (majority = 9) Bruno 10 (59%) · Cora 7 (41%) [STAR Voting: Winner — STAR Voting Method (single winner)] Bruno