====================================================================== SOURCE FILE: pets_gov_star_pr.yaml TABULATED FILE: pets_gov_star_pr_tabulated.txt ====================================================================== election_title: "Pets Governance — Council by STAR-PR (3 seats): minority earns a seat" scenario_description: |- One of six races in the Pets Governance election (BV2134, bvid kcf8vf; BV-confirmed). Same 22 voters, same scores as the Bloc STAR race — a 13-voter MAJORITY (Dog, Cat, Fish) and a 9-voter MINORITY (Bird, Rabbit, Hamster). This race fills the 3-seat Council by STAR-PR (Allocated Score) — a PROPORTIONAL method. After the majority elects its first seat its ballots are down-weighted, so the minority's Bird wins a seat: the result is Bird, Dog, Fish — 2 majority + 1 minority. Same ballots as Bloc STAR (which swept all three for the majority): proportional vs majoritarian, side by side. bv_test_id: BV2134 bv_election_id: kcf8vf bv_results_url: https://bettervoting.com/kcf8vf/results voting_method: allocated num_winners: 3 ballots: |- Dog,Cat,Fish,Bird,Rabbit,Hamster 13: 5,4,4,1,0,0 9: 0,0,1,5,4,4 expected_winners: - Bird - Dog - Fish # file: pets_gov_star_pr.yaml ====================================================================== TABULATION RESULTS ====================================================================== === Pets Governance — Council by STAR-PR (3 seats): minority earns a seat === One of six races in the Pets Governance election (BV2134, bvid kcf8vf; BV-confirmed). Same 22 voters, same scores as the Bloc STAR race — a 13-voter MAJORITY (Dog, Cat, Fish) and a 9-voter MINORITY (Bird, Rabbit, Hamster). This race fills the 3-seat Council by STAR-PR (Allocated Score) — a PROPORTIONAL method. After the majority elects its first seat its ballots are down-weighted, so the minority's Bird wins a seat: the result is Bird, Dog, Fish — 2 majority + 1 minority. Same ballots as Bloc STAR (which swept all three for the majority): proportional vs majoritarian, side by side. --- Preference Matrix --- Head-to-head / pairwise comparison Legend: For - Equal Support - Against Informational only — not part of the 3-winner count below, so no Top-2 finalists are marked. | Dog | Cat | Fish | Bird | Rabbit | Hamster | ------------------------------------------------------------------------------------------------------- Dog > | --- |13 - 9 - 0 |13 - 0 - 9 |13 - 0 - 9 |13 - 0 - 9 |13 - 0 - 9 | Cat > | 0 - 9 - 13 | --- | 0 - 13 - 9 |13 - 0 - 9 |13 - 0 - 9 |13 - 0 - 9 | Fish > | 9 - 0 - 13 | 9 - 13 - 0 | --- |13 - 0 - 9 |13 - 0 - 9 |13 - 0 - 9 | Bird > | 9 - 0 - 13 | 9 - 0 - 13 | 9 - 0 - 13 | --- |22 - 0 - 0 |22 - 0 - 0 | Rabbit > | 9 - 0 - 13 | 9 - 0 - 13 | 9 - 0 - 13 | 0 - 0 - 22 | --- | 0 - 22 - 0 | Hamster > | 9 - 0 - 13 | 9 - 0 - 13 | 9 - 0 - 13 | 0 - 0 - 22 | 0 - 22 - 0 | --- | [Condorcet Winner] Condorcet Winner: Dog — matches the STAR winner [Condorcet Loser] No strict Condorcet loser; jointly weak Condorcet losers: Rabbit, Hamster (winless — pairwise ties) --- Allocated Score Voting Method (3 winners) --- [Allocated Score Voting] Tabulating 22 ballots to fill 3 seats. Count × Dog,Cat,Fish,Bird,Rabbit,Hamster 13 × 5, 4, 4, 1, 0, 0 9 × 0, 0, 1, 5, 4, 4 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg Dog 13 0 0 0 0 9 | 65 3.0 Cat 0 13 0 0 0 9 | 52 2.4 Fish 0 13 0 0 9 0 | 61 2.8 Bird 9 0 0 0 13 0 | 58 2.6 Rabbit 0 9 0 0 0 13 | 36 1.6 Hamster 0 9 0 0 0 13 | 36 1.6 Hare quota is 22/3. [Allocated Score Voting: Round 1] The highest-scoring candidate wins a seat. Dog -- 65 -- First place Fish -- 61 Bird -- 58 Cat -- 52 Hamster -- 36 Rabbit -- 36 Dog wins a seat. [Allocated Score Voting: Round 1: Ballot allocation round] Allocating 7+1/3 ballots. [Allocated Score Voting: Round 1: Ballot allocation round: Round 1] Allocating 13 ballots at score 5. This allocation overfills the quota. Returning fractional surplus. Allocating only 56.41% of these ballots. Keeping these ballots, but multiplying their weights by 17/39. 13 ballots reweighted from 1 to 17/39. [Allocated Score Voting: Round 2] The highest-scoring candidate wins a seat. Bird -- 50+2/3 -- First place Hamster -- 36 Rabbit -- 36 Fish -- 31+2/3 Cat -- 22+2/3 Bird wins a seat. [Allocated Score Voting: Round 2: Ballot allocation round] Allocating 7+1/3 ballots. [Allocated Score Voting: Round 2: Ballot allocation round: Round 1] Allocating 9 ballots at score 5. This allocation overfills the quota. Returning fractional surplus. Allocating only 81.48% of these ballots. Keeping these ballots, but multiplying their weights by 5/27. 9 ballots reweighted from 1 to 5/27. [Allocated Score Voting: Round 3] The highest-scoring candidate wins a seat. Fish -- 24+1/3 -- First place Cat -- 22+2/3 Hamster -- 6+2/3 Rabbit -- 6+2/3 Fish wins a seat. [Allocated Score Voting: Winners — Allocated Score Voting Method (3 winners)] Bird Dog Fish