====================================================================== SOURCE FILE: bpv_bakery_stv_c4_b12.yaml TABULATED FILE: bpv_bakery_stv_c4_b12_tabulated.txt ====================================================================== election_title: "The same ballots under STV — 2 seats, and the minority gets one" scenario_description: |- The control for the block-preferential pair: identical ballots, identical two seats, counted PROPORTIONALLY instead. STV's Droop quota here is 12 / (2 + 1) = 4 (the engine's exact form; the hand-count rule floor(12/3) + 1 = 5 is the other standard reading, and both land in the same place on these ballots). Almond has 5 and Croissant has 5 — both clear quota in the first round, both are seated, and the board splits 1-1 between the 7-voter majority and the 5-voter minority. Block preferential voting on these same ballots elects Almond AND Brioche — a clean sweep for the majority (bpv_bakery_seat1_c4_b12.yaml + bpv_bakery_seat2_c3_b12.yaml). Same ranked ballot, same voters, opposite philosophy: the ballot decides what voters can say, the COUNT decides how the seats are shared. Lesson: 06_Other/RCV_IRV/concepts/variants/RCV-IRV-block-preferential.md voting_method: STV num_winners: 2 ballots: |- 5:Almond>Brioche>Croissant>Danish 2:Brioche>Almond>Croissant>Danish 5:Croissant>Danish>Almond>Brioche expected_winners: - Almond - Croissant # file: bpv_bakery_stv_c4_b12.yaml ====================================================================== TABULATION RESULTS ====================================================================== --- STV / Single Transferable Vote (multi-winner — 2 seats) --- The same ballots under STV — 2 seats, and the minority gets one Tabulating 12 ballots (ranked ballots). 2 seats; quota = 4.00 (exact Droop, votes/(seats+1)) — 33.3% of 12. Elected at >= quota, and every surplus is measured from it. (Hand-count Droop, floor(12/3)+1 = 5, is a different but equally standard rule.) FINAL RESULT Candidate Votes Status ----------- ------- -------- Almond 5 Elected Croissant 5 Elected Brioche 2 Rejected Danish 0 Rejected Winner(s) — STV / Single Transferable Vote (multi-winner — 2 seats) Almond Croissant --- Smith Set (the generalized Condorcet winner) --- The smallest group whose every member beats every candidate outside it — the honest answer to "who is even in contention?". Smith set (1 of 4): Almond Outside (3): Brioche, Croissant, Danish One member ⇒ Almond is the Condorcet winner, beating every rival head-to-head. More: 07_Concepts/topics/smith_set.md