election_title: Two officers, three candidates — Allocated Score
voting_method: allocated
num_winners: 2

scenario_description: |
  The companion to "three neighbors": the smallest election that splits the
  DIVISOR method off from the two QUOTA methods. Three voters, three
  candidates, two seats. Dana leads on score (9, against Eli 8 and Finn 7) and
  takes seat 1 under every method. Seat 2 is the argument.

  Voters 1 and 2 both gave Dana 4 stars; voter 3 gave her only 1. Everything
  turns on how hard those two big backers are charged for the seat they won --
  and the three methods form a clean ladder from harshest to gentlest:

    * Allocated Score charges them down to 1/4. The 1.5-voter quota is
      overfilled by the two 4-star ballots, so fractional surplus leaves them
      at a quarter. Voter 3 is never reached by the score tiers at all and
      keeps FULL weight.      ->  Eli 4+1/4, Finn 4+3/4  ->  Dana, Finn

    * SSS charges them down to 1/3, against a SCORE quota (total 9, Hare score
      quota 7+1/2) rather than a ballot quota. Voter 3 pays too, landing at
      5/6.                     ->  Eli 4+1/6, Finn 4+1/3  ->  Dana, Finn

    * RRV computes no quota at all and merely DIVIDES: weight becomes
      1 / (1 + score_given_to_winners / max_score), so the two land at 5/9 --
      dampened, not spent. They keep enough to carry their shared second
      choice.                  ->  Eli 5+5/18, Finn 5     ->  Dana, Eli

  1/4, 1/3, 5/9. As the charge gets gentler the partly-satisfied voters keep
  more say, and at the last rung their second choice overtakes. Found by
  exhaustive smallest-first search, verified stable across five tiebreaker
  seeds, so no lot is involved.

ballots: |-
  Dana,Eli,Finn
  4,3,1      # Voter 1 — Dana first, Eli a solid second
  4,2,2      # Voter 2 — Dana first, Eli and Finn equal behind
  1,3,4      # Voter 3 — Finn first, barely backs Dana

expected_winners:
  - Dana
  - Finn

# file: two_officers_allocated.yaml