election_title: The Black Curtain #1 compressed — the Condorcet winner moves

scenario_description: |-
  The SAME five voters as Black_Curtain_01_c3_b5_hidden-consensus.yaml and
  Black_Curtain_01a_c3_b5_approval.yaml — but here their APPROVAL marks are read
  as a score ballot (approved = 5, not approved = 0), so the engine will print
  the pairwise matrix and name the Condorcet winner OF THE COMPRESSED BALLOTS.
  The magnitude is irrelevant: every head-to-head count below depends only on
  the two-class ORDER (approved above not-approved), so 5/0 and 1/0 give an
  identical matrix. 5/0 is used because the engine's built-in Approval
  cross-check reads "a score of 3+ is an approval" and so misreads a 1/0 ballot
  — see the note at the end of ../condorcet_compression.md.

  On the original 0-5 scores, Cal is the Condorcet winner (beats Bob 3-2 and
  Ann 3-2) and STAR elects Cal. Compress those same opinions to approve /
  don't-approve at "a 3 or better is an approval" and the Condorcet winner
  becomes BOB — legitimately: on these ballots Bob beats Cal 2-0, because the
  three voters who approved BOTH now express no preference between them. The
  Equal Support column in the matrix is exactly where the deciding information
  went.

  This is the runnable limit of the theory result that approval voting coincides
  with Borda and with every Condorcet method on DICHOTOMOUS preferences (weak
  rankings with two indifference classes). The equivalence is true of that
  domain; it does not transfer to an election where voters do the compressing
  themselves. Note too that Bob wins here under STAR as well as Approval — the
  outcome is not a quirk of one method, it is the ballot having lost the
  Cal-over-Bob preference.

  Teaching page: ../condorcet_compression.md
  Original video source: https://www.youtube.com/watch?v=5_ZMruwOZgw
  See README.md in this folder.

voting_method: STAR
num_winners: 1

ballots: |-
  Ann,Bob,Cal
  0,5,5   # voter 1 — approved Bob and Cal; no preference between them
  0,5,5   # voter 2 — approved Bob and Cal; no preference between them
  0,5,5   # voter 3 — approved Bob and Cal; no preference between them
  5,5,0   # voter 4 — approved Ann and Bob; no preference between them
  5,5,0   # voter 5 — approved Ann and Bob; no preference between them

expected_winners:
  - Bob

# file: Black_Curtain_01b_c3_b5_dichotomous.yaml