====================================================================== SOURCE FILE: alaska_2022_irv_with_palin.yaml TABULATED FILE: alaska_2022_irv_with_palin_tabulated.txt ====================================================================== election_title: "Alaska 2022 special (reduced model), ranked ballots — RCV-IRV with all three candidates: Peltola wins" paradoxes: [condorcet-winner] scenario_description: |- The IIA / spoiler baseline. This is the SAME 200-voter reduced model of the August 2022 Alaska US House special election as the STAR case in this folder (bv2213_k3fmwv_alaska_2022.yaml), written as the ranked profile it came from — the nine ballot types of Table 1 in Graham-Squire & McCune, "An Examination of Ranked Choice Voting in the United States, 2004-2022" (arXiv:2301.12075), scaled ~943:1. Nothing is added: the score file's 5/4/3 levels ARE these rankings. First choices: Peltola 80, Palin 63, Begich 57. RCV-IRV eliminates Begich, 12 ballots exhaust, and Peltola beats Palin 96-92. Winner: Peltola. Its twin — alaska_2022_irv_without_palin.yaml — deletes Palin from every ballot and changes nothing else. Begich then wins 93-84. Palin lost, and her presence decided who won: an Independence-of-Irrelevant-Alternatives failure on a real federal race, which is the claim-check behind method_comparisons/fairvote_comparison_table/README.md. Lesson: ../README.md voting_method: RCV_IRV num_winners: 1 lh_only_reason: "The ranked half of a BV-backed pair — the same electorate is already live on BetterVoting as BV2213 (k3fmwv) in its score form. This file exists to make the with/without-Palin counterfactual runnable, and its twin is a counterfactual profile that was never cast, so neither belongs on BV." ballots: |- 50:Peltola>Begich 36:Palin>Begich 29:Begich>Palin 25:Peltola 23:Palin 16:Begich>Peltola 12:Begich 5:Peltola>Palin 4:Palin>Peltola>Begich expected_winners: - Peltola ====================================================================== TABULATION RESULTS ====================================================================== --- RCV / Instant-Runoff Voting (single winner) --- Alaska 2022 special (reduced model), ranked ballots — RCV-IRV with all three candidates: Peltola wins Tabulating 200 ballots (ranked ballots). ROUND 1 Candidate Votes Status ----------- ------- -------- Peltola 80 Hopeful Palin 63 Hopeful Begich 57 Rejected FINAL RESULT Candidate Votes Status ----------- ------- -------- Peltola 96 Elected Palin 92 Rejected Begich 0 Rejected Blank Votes 12 Rejected Winner(s) — RCV / Instant-Runoff Voting (single winner) Peltola --- Transfers and inactive ballots (what the round tables leave out) --- The tables above give each candidate's round total but not where a transferred vote came FROM, nor how many ballots stopped counting. Both are recomputed from the ballots, using the eliminations the count above actually made. ROUND 1 — 200 of 200 ballots still active; majority = 101 Begich eliminated with 57: → Palin 29 → Peltola 16 → (no continuing ranking) 12 ← these ballots go inactive FINAL ROUND — 188 of 200 ballots still active (12 inactive); majority = 95 Peltola 96 (51.1% of the still-active) ← elected Palin 92 (48.9% of the still-active) Never exhausted, never transferred: 40 ballots held by Palin carried a lower ranking that was never read (the count stopped here, so those preferences did nothing). Inactive ballots at the final round: 12 of 200 (6.0%). Peltola's 96 is a majority of the 188 still active but only 48.0% of all 200 cast — the 'majority' here is of a shrunken denominator. See 06_Other/RCV_IRV/concepts/RCV_IRV_exhausted_ballots.md --- 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 3): Begich Outside (2): Peltola, Palin One member ⇒ Begich is the Condorcet winner, beating every rival head-to-head. RCV-IRV winner Peltola is OUTSIDE the Smith set. ✗ Every member of the set (Begich) beats Peltola head-to-head, yet RCV-IRV elected Peltola anyway. RCV-IRV is not Smith-efficient (nor Condorcet-efficient) — this is the shape a center squeeze leaves behind. More: 07_Concepts/topics/smith_set.md