====================================================================== SOURCE FILE: alaska_upward_before.yaml TABULATED FILE: alaska_upward_before_tabulated.txt ====================================================================== election_title: "Upward monotonicity (Alaska 2022) — BEFORE: Peltola wins" scenario_description: |- The real Alaska 2022 US House special, reduced ~960:1 to a faithful 200-voter model (the same profile as method_comparisons/alaska_2022 and the burial case). Counted by RCV-IRV: Begich has the fewest first-choices and is eliminated first, his ballots split, and Peltola wins the final round 96-92. This is the BEFORE half of an upward-monotonicity pair — the winner is Peltola. In the AFTER file (alaska_upward_after), 7 Palin-only ballots are changed to Peltola>Palin, GIVING THE WINNER MORE FIRST-PLACE SUPPORT — and Peltola then LOSES. Ranking the winner higher turns her into a loser: the upward monotonicity paradox (Graham-Squire & McCune, arXiv:2301.12075). Companion page: upward_monotonicity_alaska.md. video_script: |- Round 1: Peltola 80, Palin 63, Begich 57. Begich is out; his second choices split 29 to Palin, 16 to Peltola, 12 exhaust. Final: Peltola 96, Palin 92. Peltola wins. Hold that result — then watch what happens when a few Palin-only voters decide they like the winner after all and rank her first. paradoxes: [non-monotonicity] voting_method: RCV_IRV num_winners: 1 ballots: |- 50:Peltola>Begich>Palin 36:Palin>Begich>Peltola 29:Begich>Palin>Peltola 25:Peltola 23:Palin 16:Begich>Peltola>Palin 12:Begich 5:Peltola>Palin>Begich 4:Palin>Peltola>Begich expected_winners: - Peltola # file: alaska_upward_before.yaml ====================================================================== TABULATION RESULTS ====================================================================== --- RCV / Instant-Runoff Voting (single winner) --- Upward monotonicity (Alaska 2022) — BEFORE: 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 --- 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