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SOURCE FILE:     approval_101_c3_b5.yaml
TABULATED FILE:  approval_101_c3_b5_tabulated.txt
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election_title: Approval 101 — most approvals wins

scenario_description: |-
  The simplest Approval election: each voter marks 1 (approve) or 0 for every
  candidate, and the most-approved candidate wins. Five voters, three
  candidates. Bob is nobody's only choice, but four of five voters approve
  him — the broadest support in the field.
  This is BetterVoting test BV135, a REAL election: ff6mk3.
  Live results: https://bettervoting.com/ff6mk3/results
  BetterVoting agrees exactly — Bob 4, Ann 3, Cal 2, no tie.
  Frozen export: approval_101_c3_b5_bv_export.json.

  More Approval cases: method_comparisons/BV_Library (a real BetterVoting
  approval election) and method_comparisons/black_curtain (the same five
  voters counted by Approval vs STAR vs RCV-IRV).

voting_method: Approval
num_winners: 1

# BetterVoting registry (machine-readable; the tabulation engine ignores these).
bv_test_id: BV135
bv_election_id: ff6mk3
bv_results_url: https://bettervoting.com/ff6mk3/results

ballots: |-
  Ann,Bob,Cal
  1,1,0   # Voter 1 — approves Ann and Bob
  0,1,1   # Voter 2 — approves Bob and Cal
  1,1,0   # Voter 3 — approves Ann and Bob
  0,1,0   # Voter 4 — approves only Bob
  1,0,1   # Voter 5 — approves Ann and Cal

expected_winners:
  - Bob

# file: approval_101_c3_b5.yaml

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TABULATION RESULTS
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--- Approval Voting (single winner) ---
 Tabulating 5 ballots (any non-zero score = approval).

Ballots:
   columns = Ann, Bob, Cal      (1 = approve; 0 = not approved)
     2 × 1,1,0
     1 × 0,1,1
     1 × 0,1,0
     1 × 1,0,1

   Bob -- 4 (80%) -- Elected
   Ann -- 3 (60%)
   Cal -- 2 (40%)

[Approval Distribution] (how many candidates each ballot approved)
   9 approvals across 5 ballots — average 1.8 of 3 (range 1–2).
     approved 1: 1 ballot
     approved 2: 4 ballots

[Co-Approval Matrix]
 Of the voters who approved the ROW candidate, the % who ALSO approved the COLUMN candidate.
        |  Bob   |  Ann   |  Cal   |
   ---------------------------------
   Bob  |   --   |  50%   |  25%   |
   Ann  |  67%   |   --   |  33%   |
   Cal  |  50%   |  50%   |   --   |

Winner — Approval Voting (single winner)
  Bob