====================================================================== SOURCE FILE: bv2137_ywckmg_irv.yaml TABULATED FILE: bv2137_ywckmg_irv_tabulated.txt ====================================================================== election_title: "Center Squeeze — IRV (Hare): the center gets squeezed out" scenario_description: |- One of four races in the Center Squeeze election (BV2137, bvid ywckmg; BV-confirmed). 100 voters, three candidates, ONE ranked electorate tabulated four ways. Anderson is the Condorcet winner (beats Reagan 55–45, Carter 65–35) but holds the fewest first-choices (20). IRV eliminates the low-first-choice centrist Anderson FIRST, then Carter beats Reagan 55–45. IRV → Carter, NOT the Condorcet winner. bv_test_id: BV2137 bv_election_id: ywckmg bv_results_url: https://bettervoting.com/ywckmg/results paradoxes: [condorcet-winner] voting_method: IRV num_winners: 1 ballots: |- 45:Reagan>Anderson>Carter 20:Anderson>Carter>Reagan 35:Carter>Anderson>Reagan expected_winners: - Carter ====================================================================== TABULATION RESULTS ====================================================================== --- RCV / Instant-Runoff Voting (single winner) --- Center Squeeze — IRV (Hare): the center gets squeezed out Tabulating 100 ballots (ranked ballots). ROUND 1 Candidate Votes Status ----------- ------- -------- Reagan 45 Hopeful Carter 35 Hopeful Anderson 20 Rejected FINAL RESULT Candidate Votes Status ----------- ------- -------- Carter 55 Elected Reagan 45 Rejected Anderson 0 Rejected Winner(s) — RCV / Instant-Runoff Voting (single winner) Carter --- 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): Anderson Outside (2): Reagan, Carter One member ⇒ Anderson is the Condorcet winner, beating every rival head-to-head. RCV-IRV winner Carter is OUTSIDE the Smith set. ✗ Every member of the set (Anderson) beats Carter head-to-head, yet RCV-IRV elected Carter 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