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SOURCE FILE:     ex13_approve3.yaml
TABULATED FILE:  ex13_approve3_tabulated.txt
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election_title: "Exercise 13 — Where do you draw the line? Approve 3 and up"
bv_test_id: BV2200
bv_election_id: qdtqf2
bv_results_url: https://bettervoting.com/qdtqf2/results

scenario_description: |-
  The nine honest opinions of ex13_opinions.yaml converted to Approval
  ballots under the GENEROUS reading: approve everyone you scored 3 or
  higher. Approvals: Ash 7 of 9, Cora 6, Beck 5 — ASH wins. Compare
  ex13_approve4.yaml (same opinions, stricter line: Beck wins) and
  ex13_bullet.yaml (favorites only: Cora wins). One electorate, one
  question the ballot cannot ask precisely — where the approval line
  sits decides the election. Exercise: ex13_draw_the_line.md.
  Live on BetterVoting (Test ID BV2200): https://bettervoting.com/qdtqf2/results
  — this is the "approve 3 and up" race; BV agrees: Ash 7.
voting_method: Approval
num_winners: 1
ballots: |-
  Ash,Beck,Cora
  1,1,0 # 3 voters: scored Ash 5, Beck 4 — both clear the 3+ line
  1,1,0
  1,1,0
  0,1,1 # 2 voters: scored Beck 5, Cora 3 — both approved
  0,1,1
  1,0,1 # 4 voters: scored Cora 5, Ash 3 — both approved
  1,0,1
  1,0,1
  1,0,1
expected_winners:
  - Ash

# file: ex13_approve3.yaml

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TABULATION RESULTS
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--- Approval Voting (single winner) ---
 Tabulating 9 ballots (any non-zero score = approval).

Ballots:
   columns = Ash, Beck, Cora      (1 = approve; 0 = not approved)
     3 × 1,1,0
     2 × 0,1,1
     4 × 1,0,1

   Ash  -- 7 (78%) -- Elected
   Cora -- 6 (67%)
   Beck -- 5 (56%)

[Approval Distribution] (how many candidates each ballot approved)
   18 approvals across 9 ballots — average 2.0 of 3 (range 2–2).
     approved 2: 9 ballots

[Co-Approval Matrix]
 Of the voters who approved the ROW candidate, the % who ALSO approved the COLUMN candidate.
         |  Ash   |  Cora  |  Beck  |
   ----------------------------------
   Ash   |   --   |  57%   |  43%   |
   Cora  |  67%   |   --   |  33%   |
   Beck  |  60%   |  40%   |   --   |

Winner — Approval Voting (single winner)
  Ash