======================================================================
SOURCE FILE:     bv2177_v8r66y_approval.yaml
TABULATED FILE:  bv2177_v8r66y_approval_tabulated.txt
======================================================================

election_title: "The Post-it election, seven ways — Approval: Pink, if approving means any support"

scenario_description: |-
  One of seven races in the Post-it seven-ways election (BV2177, bvid v8r66y;
  BV-confirmed) — the BV2176 electorate from Equal Vote's video "Updated: How
  does RCV work? — With Post-its!" (https://youtu.be/Vte4nly_Neg), run through
  every method BetterVoting supports. This race converts the video's 0-5
  scores to Approval ballots with the most natural rule: approve = any
  support (score above 0). Because the video's scores use only 0/3/4/5, any
  threshold from 1 to 3 casts these exact same approvals. Result: Pink 12,
  Purple 10, Blue 10, Green 8 — PINK wins, carried by the six Green fans who
  scored their LAST choice a 3. The conversion is the election: had voters
  approved only 4s and 5s, Blue would win (10/9/8/5); only 5s, Purple
  (7/6/4/3). Three thresholds, three winners — a lesson in why "just make it
  Approval" is never neutral. See the fairness lesson page:
  postit_video_fair_and_balanced.md.

  Live results: https://bettervoting.com/v8r66y/results
  Companion races: BV2176's bv2176_p8dp28_star.yaml / _irv.yaml /
  _ranked_robin.yaml (identical ballots to the BV2177 STAR/IRV/RR/STV races)
  and bv2177_v8r66y_plurality.yaml.
  Overview page: bv2177_v8r66y_seven_methods.md

bv_test_id: BV2177
bv_election_id: v8r66y
bv_results_url: https://bettervoting.com/v8r66y/results
paradoxes: [condorcet-cycle]

voting_method: Approval
num_winners: 1

ballots: |-
  Purple,Green,Blue,Pink
  1,0,0,0
  1,0,0,0
  1,0,0,0
  1,0,0,0
  1,0,0,0
  1,0,0,0
  1,0,0,0
  0,1,1,1
  0,1,1,1
  0,1,1,1
  0,1,1,1
  0,1,1,1
  0,1,1,1
  0,0,1,1
  0,0,1,1
  0,1,1,1
  1,0,1,0
  1,1,0,1
  1,0,0,1
  0,0,0,1

expected_winners:
  - Pink

# file: bv2177_v8r66y_approval.yaml

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

--- Approval Voting (single winner) ---
 Tabulating 20 ballots (any non-zero score = approval).

Ballots:
   columns = Purple, Green, Blue, Pink      (1 = approve; 0 = not approved)
     7 × 1,0,0,0
     7 × 0,1,1,1
     2 × 0,0,1,1
     1 × 1,0,1,0
     1 × 1,1,0,1
     1 × 1,0,0,1
     1 × 0,0,0,1

   Pink   -- 12 (60%) -- Elected
   Purple -- 10 (50%)
   Blue   -- 10 (50%)
   Green  -- 8 (40%)

[Approval Distribution] (how many candidates each ballot approved)
   40 approvals across 20 ballots — average 2.0 of 4 (range 1–3).
     approved 1: 8 ballots
     approved 2: 4 ballots
     approved 3: 8 ballots

[Co-Approval Matrix]
 Of the voters who approved the ROW candidate, the % who ALSO approved the COLUMN candidate.
           |  Pink  | Purple |  Blue  | Green  |
   ---------------------------------------------
   Pink    |   --   |  17%   |  75%   |  67%   |
   Purple  |  20%   |   --   |  10%   |  10%   |
   Blue    |  90%   |  10%   |   --   |  70%   |
   Green   |  100%  |  12%   |  88%   |   --   |

Winner — Approval Voting (single winner)
  Pink