====================================================================== SOURCE FILE: irv_district_A.yaml TABULATED FILE: irv_district_A_tabulated.txt ====================================================================== election_title: "Summability demo — RCV-IRV district A (B wins)" scenario_description: |- District A of the RCV-IRV summability trio: C is eliminated, C's ballots transfer to B, B wins. Looks precinct-friendly — until you try to combine districts. See irv_combined.yaml: no fixed set of district-level IRV subtotals can be added into the combined answer, because who gets eliminated depends on ALL ballots at once. voting_method: RCV_IRV num_winners: 1 # Summability demo (IRV), district A. IRV winner: B (eliminate C, C>B>A transfers -> B 7, A 6). ballots: |- 6:A 4:B 3:C>B>A expected_winners: - B # file: irv_district_A.yaml ====================================================================== TABULATION RESULTS ====================================================================== --- RCV / Instant-Runoff Voting (single winner) --- Summability demo — RCV-IRV district A (B wins) Tabulating 13 ballots (ranked ballots). ROUND 1 Candidate Votes Status ----------- ------- -------- A 6 Hopeful B 4 Hopeful C 3 Rejected FINAL RESULT Candidate Votes Status ----------- ------- -------- B 7 Elected A 6 Rejected C 0 Rejected Winner(s) — RCV / Instant-Runoff Voting (single winner) B --- 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): B Outside (2): A, C One member ⇒ B is the Condorcet winner, beating every rival head-to-head. RCV-IRV winner B is INSIDE the Smith set. ✓ Not guaranteed — RCV-IRV is not Smith-efficient — but it holds here. More: 07_Concepts/topics/smith_set.md