election_title: "The smallest spoiler — seven friends, three flavours, and a minority winner"
scenario_description: |-
  The smallest election in which two similar candidates can cost their own side
  the win. Seven friends pick ONE tub of ice cream. Four of them want chocolate,
  three want vanilla — and the chocolate four are divided over WHICH chocolate.

  Choose-One: Vanilla 3, Milk Chocolate 2, Dark Chocolate 2. Vanilla wins with
  3 of 7 (43%) — and all four chocolate lovers ranked Vanilla DEAD LAST.

  Why seven is the floor for this shape: with two similar candidates, the rival
  needs more marks than either of them individually and fewer than both together.
  The cheapest arithmetic that does it is 2 + 2 versus 3. Fewer voters than this
  and either the chocolate side stops being a majority or one chocolate out-polls
  the vanilla.

  (Allow THREE similar candidates and the floor drops to five voters: 1 + 1 + 1
  against 2, a 40% winner. Fewer voters, more candidates — see the fruit-basket
  ladder, where seven apples and a banana bring it down to 22% on nine ballots.)
  Live results: https://bettervoting.com/9cff2d/results

bv_test_id: BV2296
bv_election_id: 9cff2d
bv_results_url: https://bettervoting.com/9cff2d/results
blocs:
  Chocolate: [Milk Chocolate, Dark Chocolate]

paradoxes: [spoiler-scc, clone-teaming, condorcet-winner]
voting_method: Plurality
num_winners: 1

ballots: |-
  Milk Chocolate,Dark Chocolate,Vanilla
  1,0,0   # milk chocolate, and dark would be fine too
  1,0,0   # milk chocolate, and dark would be fine too
  0,1,0   # dark chocolate, and milk would be fine too
  0,1,0   # dark chocolate, and milk would be fine too
  0,0,1   # vanilla
  0,0,1   # vanilla
  0,0,1   # vanilla

expected_winners:
  - Vanilla