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SOURCE FILE:     min_bloc_c3_b2.yaml
TABULATED FILE:  min_bloc_c3_b2_tabulated.txt
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election_title: The smallest divergence — Bloc STAR
scenario_description: >
  Two voters, three candidates, two seats — the smallest election in which
  Bloc STAR and Proportional STAR (Allocated Score) fill the council
  differently. Identical ballots to min_pr_c3_b2.yaml; only the count differs.
  Both methods agree that Ben takes the first seat. They disagree about the
  second, and the reason is the whole difference between the two methods:
  Bloc lets the voter who already got Ben pick the second seat too, while
  Proportional STAR considers that voter represented and hands the second
  seat to the voter who has nobody yet.
voting_method: bloc
num_winners: 2
ballots: |-
  Ana,Ben,Cleo
  0,0,1   # Voter 1 — likes only Cleo, and only mildly
  2,3,0   # Voter 2 — prefers Ben, then Ana
expected_winners: [Ana, Ben]

# file: min_bloc_c3_b2.yaml

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TABULATION RESULTS
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=== The smallest divergence — Bloc STAR ===
  Two voters, three candidates, two seats — the smallest election in which Bloc STAR and Proportional STAR (Allocated Score) fill the council differently. Identical ballots to min_pr_c3_b2.yaml; only the count differs. Both methods agree that Ben takes the first seat. They disagree about the second, and the reason is the whole difference between the two methods: Bloc lets the voter who already got Ben pick the second seat too, while Proportional STAR considers that voter represented and hands the second seat to the voter who has nobody yet.

--- Preference Matrix ---
Head-to-head / pairwise comparison
Legend: For - Equal Support - Against
        Informational only — not part of the 2-winner count below,
        so no Top-2 finalists are marked.
               |     Ana    |    Ben    |    Cleo   |
-----------------------------------------------------
         Ana > |    ---     |0 - 1 - 1  |1 - 0 - 1  |
         Ben > | 1 - 1 - 0  |   ---     |1 - 0 - 1  |
        Cleo > | 1 - 0 - 1  |1 - 0 - 1  |   ---     |

[Condorcet Winner]
  No strict Condorcet winner; unbeaten candidates: Ben, Cleo (pairwise ties)

[Condorcet Loser]
  No strict Condorcet loser; jointly weak Condorcet losers: Ana, Cleo (winless — pairwise ties)

--- Bloc STAR Voting Method (2 winners) ---
[Bloc STAR]
 Tabulating 2 ballots to fill 2 seats.
Ana,Ben,Cleo
  0,  0,   1
  2,  3,   0

[Score Distribution] (how many ballots gave each star rating)
                Score
Candidate  5  4  3  2  1  0  | Total   Avg
Ana        0  0  0  1  0  1  |     2   1.0
Ben        0  0  1  0  0  1  |     3   1.5
Cleo       0  0  0  0  1  1  |     1   0.5

[Bloc STAR: Round 1: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Ben           -- 3 -- First place
   Ana           -- 2 -- Second place
   Cleo          -- 1
 Ben and Ana advance.

[Bloc STAR: Round 1: Automatic Runoff Round]
 The candidate preferred in the most head-to-head matchups wins.
   Ben           -- 1 -- First place
   Ana           -- 0
   Equal Support -- 1
 Ben wins.
   Runoff math:
     2  ballots cast
   − 1  Equal Support (no preference between the two finalists)
     ─
     1  voters with a preference  (majority = 1)
           Ben 1 (100%)  ·  Ana 0 (0%)

──────────────────────────────────────────────────
[Bloc STAR: Round 2: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Ana           -- 2 -- First place
   Cleo          -- 1 -- Second place
 Ana and Cleo advance.

[Bloc STAR: Round 2: Automatic Runoff Round]
 The candidate preferred in the most head-to-head matchups wins.
   Ana           -- 1 -- Tied for first place
   Cleo          -- 1 -- Tied for first place
   Equal Support -- 0
 There's a two-way tie for first.

[Bloc STAR: Round 2: Automatic Runoff Round: First tiebreaker]
 The highest-scoring candidate wins.
   Ana           -- 2 -- First place
   Cleo          -- 1
 Ana wins.

[Bloc STAR: Winners — Bloc STAR Voting Method (2 winners)]
 Ben
 Ana