======================================================================
SOURCE FILE:     bv2148_h87k6v_irv.yaml
TABULATED FILE:  bv2148_h87k6v_irv_tabulated.txt
======================================================================

election_title: "Felsenthal Ex.3 District II — Runoff/IRV: Bruno wins in round one"
scenario_description: |-
  Race 1 of 2 in District II of the Felsenthal Reinforcement-paradox trio (BV2148, bvid h87k6v; BV-confirmed; the trio is BV2147/48/49). Source: Dan S. Felsenthal, "Review of Paradoxes Afflicting Various Voting Procedures Where One Out of m Candidates (m ≥ 2) Must Be Elected", University of Haifa / LSE, revised 26 May 2010; Appendix A2, Example 3 (the Reinforcement paradox).
  District II: 15 voters — 6×(Alma>Cora>Bruno), 8×(Bruno>Cora>Alma), 1×(Cora>Alma>Bruno). Bruno is ranked first by an absolute majority (8 of 15) and wins in the first round; no runoff is needed. Bruno is also this district's Condorcet winner (beats Alma 8–7, Cora 8–7). Bruno wins District I too (BV2147) — yet the amalgamated electorate (BV2149) elects Alma under the same procedure.
  Live results: https://bettervoting.com/h87k6v/results
bv_test_id: BV2148
bv_election_id: h87k6v
bv_results_url: https://bettervoting.com/h87k6v/results
paradoxes: [multiple-districts]
voting_method: IRV
num_winners: 1
ballots: |-
  6:Alma>Cora>Bruno
  8:Bruno>Cora>Alma
  1:Cora>Alma>Bruno
expected_winners:
  - Bruno

# file: bv2148_h87k6v_irv.yaml

======================================================================
TABULATION RESULTS
======================================================================

--- RCV / Instant-Runoff Voting (single winner) ---
  Felsenthal Ex.3 District II — Runoff/IRV: Bruno wins in round one
 Tabulating 15 ballots (ranked ballots).

FINAL RESULT
Candidate      Votes  Status
-----------  -------  --------
Bruno              8  Elected
Alma               6  Rejected
Cora               1  Rejected


Winner(s) — RCV / Instant-Runoff Voting (single winner)
  Bruno

--- 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): Bruno
   Outside (2):        Alma, Cora
   One member ⇒ Bruno is the Condorcet winner, beating every rival head-to-head.
   RCV-IRV winner Bruno is INSIDE the Smith set. ✓
      Not guaranteed — RCV-IRV is not Smith-efficient — but it holds here.
   More: 07_Concepts/topics/smith_set.md