====================================================================== SOURCE FILE: bv2176_p8dp28_irv.yaml TABULATED FILE: bv2176_p8dp28_irv_tabulated.txt ====================================================================== election_title: "The Post-it RCV example (20 voters) — RCV-IRV: Purple wins the video's whiteboard count" scenario_description: |- One of three races in the Post-it RCV example (BV2176, bvid p8dp28; BV-confirmed). The 20 ranked ballots from Equal Vote's video "Updated: How does RCV work? — With Post-its!" (https://youtu.be/Vte4nly_Neg), counted exactly as on the whiteboard. Round 1: Purple 7, Green 6, Blue 4, Pink 3 — Pink is eliminated (1 ballot goes to Green, 1 to Purple, and 1 bullet-vote Pink ballot exhausts). Round 2: Purple 8, Green 7, Blue 4 — Blue is eliminated (1 to Green, 1 to Purple, and the 2 Blue>Pink ballots exhaust, Pink being already gone). Final: Purple 9, Green 8 — Purple wins with 9 of the 17 still-active ballots. The sting the video builds to: Blue, the round-2 eliminee, beats Purple head-to-head 10-9 — a runoff RCV-IRV never held, but the STAR race on these voters' scores does (and Blue wins it). Live results: https://bettervoting.com/p8dp28/results Companion races: bv2176_p8dp28_star.yaml, bv2176_p8dp28_ranked_robin.yaml. Overview page: bv2176_p8dp28_postit_rcv_example.md bv_test_id: BV2176 bv_election_id: p8dp28 bv_results_url: https://bettervoting.com/p8dp28/results paradoxes: [condorcet-cycle] voting_method: IRV num_winners: 1 ballots: |- Purple Purple Purple Purple Purple Purple Purple Green>Blue>Pink Green>Blue>Pink Green>Blue>Pink Green>Blue>Pink Green>Blue>Pink Green>Blue>Pink Blue>Pink Blue>Pink Blue>Green>Pink Blue>Purple Pink>Green>Purple Pink>Purple Pink expected_winners: - Purple # file: bv2176_p8dp28_irv.yaml ====================================================================== TABULATION RESULTS ====================================================================== --- RCV / Instant-Runoff Voting (single winner) --- The Post-it RCV example (20 voters) — RCV-IRV: Purple wins the video's whiteboard count Tabulating 20 ballots (ranked ballots). ROUND 1 Candidate Votes Status ----------- ------- -------- Purple 7 Hopeful Green 6 Hopeful Blue 4 Hopeful Pink 3 Rejected ROUND 2 Candidate Votes Status ----------- ------- -------- Purple 8 Hopeful Green 7 Hopeful Blue 4 Rejected Pink 0 Rejected Blank Votes 1 Rejected FINAL RESULT Candidate Votes Status ----------- ------- -------- Purple 9 Elected Green 8 Rejected Blue 0 Rejected Pink 0 Rejected Blank Votes 3 Rejected Winner(s) — RCV / Instant-Runoff Voting (single winner) Purple --- 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 (4 of 4): Green, Blue, Purple, Pink Outside (0): — More than one member ⇒ NO Condorcet winner: the top of the tournament is a cycle, so the strongest "candidate" is a set, not a person. Which member of the set should win is exactly what Minimax / Ranked Pairs / Schulze disagree about — see 05_Ranked_Robin/01_Learn/cycle_resolution.md. Note: the Copeland leaders (Green, Blue) are only part of the set — the win–loss table's top block understates how wide the contention is. RCV-IRV winner Purple is INSIDE the Smith set. ✓ Not guaranteed — RCV-IRV is not Smith-efficient — but it holds here. More: 07_Concepts/topics/smith_set.md