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SOURCE FILE:     03b_c3_b3_1_style-protest-vote.yaml
TABULATED FILE:  03b_c3_b3_1_style-protest-vote_tabulated.txt
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election_title: Voting styles — low-score ballots
scenario_description: |-
  What if you dislike all the candidates? You can still vote: even low scores
  register a relative preference, and STAR will count them. Here every voter
  scores only 0s and 1s, yet a winner still emerges (Almond) from the 1s.

#  Caveat worth teaching: compressing all your scores into the bottom of the
#  0-5 range also shrinks your ballot's influence in the score round. Expressing
#  a "least-bad" choice counts - but using the full range expresses it louder.

voting_method: STAR   # STAR Voting - Single-winner

num_winners: 1
ballots: |-
  Choco,Almond,Vanilla
      0,     1,      0   # least-bad = Almond
      0,     0,      1   # least-bad = Vanilla
      0,     1,      0   # least-bad = Almond

expected_winners:
  - Almond

# file: 03b_c3_b3_1_style-protest-vote.yaml

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TABULATION RESULTS
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=== Voting styles — low-score ballots ===
  What if you dislike all the candidates? You can still vote: even low scores
  register a relative preference, and STAR will count them. Here every voter
  scores only 0s and 1s, yet a winner still emerges (Almond) from the 1s.

--- Runoff (Preference) Matrix ---
Head-to-head / pairwise comparison
Legend: For - Equal Support - Against
        * indicates Top 2 Finalist
                |     Choco   | * Almond   | * Vanilla  |
---------------------------------------------------------
        Choco > |     ---     | 0 - 1 - 2  | 0 - 2 - 1  |
     * Almond > |  2 - 1 - 0  |    ---     | 2 - 0 - 1  |
    * Vanilla > |  1 - 2 - 0  | 1 - 0 - 2  |    ---     |

[Condorcet Winner]
  Condorcet Winner: Almond — matches the STAR winner

[Condorcet Loser]
  Condorcet Loser: Choco — loses every head-to-head matchup — elected by Approval!

[Divergence from STAR]
  STAR     = Almond
  Approval = Choco   (differs from STAR)

--- STAR Voting Method (single winner) ---
[STAR Voting]
 Tabulating 3 ballots.
Count × Choco,Almond,Vanilla
    2 ×     0,     1,      0
    1 ×     0,     0,      1

[Score Distribution] (how many ballots gave each star rating)
                Score
Candidate  5  4  3  2  1  0  | Total   Avg
Choco      0  0  0  0  0  3  |     0   0.0
Almond     0  0  0  0  2  1  |     2   0.7
Vanilla    0  0  0  0  1  2  |     1   0.3

[STAR Voting: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Almond        -- 2 -- First place
   Vanilla       -- 1 -- Second place
   Choco         -- 0
 Almond and Vanilla advance.

[STAR Voting: Automatic Runoff Round]
 The candidate preferred in the most head-to-head matchups wins.
   Almond        -- 2 -- First place
   Vanilla       -- 1
   Equal Support -- 0
 Almond wins.
   Runoff math:
     3  ballots cast
   − 0  Equal Support (no preference between the two finalists)
     ─
     3  voters with a preference  (majority = 2)
           Almond 2 (67%)  ·  Vanilla 1 (33%)

[STAR Voting: Winner — STAR Voting Method (single winner)]
 Almond