======================================================================
SOURCE FILE:     chicken_approval.yaml
TABULATED FILE:  chicken_approval_tabulated.txt
======================================================================

election_title: "Chicken / Burr dilemma — Approval, honest: A and B tie 60-60 (the trap)"

scenario_description: |-
  The same electorate as chicken_star, under APPROVAL voting with honest ballots: the 60
  A/B voters approve both allies (utility above the midpoint), the 40 C voters approve C.
  Result: A 60, B 60 — an exact tie (broken here only by candidate priority order), with
  C safely defeated at 40. This is the chicken / Burr dilemma: the honest cooperative play
  leaves A and B in a dead heat, so each side is tempted to bullet-vote (approve only its
  favorite) to win outright — a slippery slope that, if both sides defect far enough, lets
  the majority-opposed C slip through. The A/B tie is the whole point (as with Jefferson &
  Burr in 1800), so this case is LH/pref_voting-verified rather than frozen from a random
  BetterVoting tie-break. STAR removes the slope entirely — see chicken_star.yaml.
  Concept: ../../07_Concepts/topics/strategic_pathologies.md.

paradoxes: []
voting_method: Approval
num_winners: 1

ballots: |-
  Count:A,B,C
  35:1,1,0   # approve A and B
  25:1,1,0   # approve A and B
  40:0,0,1   # approve C

expected_winners:
  - A

# file: chicken_approval.yaml

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

--- Approval Voting (single winner) ---
 Tabulating 100 ballots (any non-zero score = approval).

Ballots:
   columns = A, B, C      (1 = approve; 0 = not approved)
    60 × 1,1,0
    40 × 0,0,1

   A -- 60 (60%) -- Elected
   B -- 60 (60%)
   C -- 40 (40%)
  Note: A, B each have 60 approvals and tie for the last 1 seat.
        Candidate priority order (A > B) broke the tie: A elected, B not elected.

[Approval Distribution] (how many candidates each ballot approved)
   160 approvals across 100 ballots — average 1.6 of 3 (range 1–2).
     approved 1: 40 ballots
     approved 2: 60 ballots

[Co-Approval Matrix]
 Of the voters who approved the ROW candidate, the % who ALSO approved the COLUMN candidate.
      |   A    |   B    |   C    |
   -------------------------------
   A  |   --   |  100%  |   0%   |
   B  |  100%  |   --   |   0%   |
   C  |   0%   |   0%   |   --   |

Winner — Approval Voting (single winner)
  A