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SOURCE FILE:     star_combined.yaml
TABULATED FILE:  star_combined_tabulated.txt
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election_title: "Summability demo — STAR combined A+B (Oak; precinct subtotals add up)"

scenario_description: |-
  Districts A + B merged (all six ballots): Oak wins the combined STAR count.
  Check it against the two district files — every score total and every
  pairwise-matrix cell here is exactly the SUM of the districts' published
  subtotals. No central ballot pile, no recount: precincts report, totals add.
  That is summability; the irv_* trio shows RCV-IRV failing exactly this
  test.
voting_method: STAR
num_winners: 1
expected_winners: [Oak]
ballots: |-
  Maple, Oak, Pine
  5,4,0
  5,3,1
  0,2,5
  1,5,4
  0,5,3
  4,0,5
lot_numbers: [Maple, Oak, Pine]

# file: star_combined.yaml

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TABULATION RESULTS
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=== Summability demo — STAR combined A+B (Oak; precinct subtotals add up) ===
  Districts A + B merged (all six ballots): Oak wins the combined STAR count.
  Check it against the two district files — every score total and every
  pairwise-matrix cell here is exactly the SUM of the districts' published
  subtotals. No central ballot pile, no recount: precincts report, totals add.
  That is summability; the irv_* trio shows RCV-IRV failing exactly this
  test.

--- Runoff (Preference) Matrix ---
Head-to-head / pairwise comparison
Legend: For - Equal Support - Against
        * indicates Top 2 Finalist
               |    Maple   |  * Oak    |  * Pine   |
-----------------------------------------------------
       Maple > |    ---     |3 - 0 - 3  |2 - 0 - 4  |
       * Oak > | 3 - 0 - 3  |   ---     |4 - 0 - 2  |
      * Pine > | 4 - 0 - 2  |2 - 0 - 4  |   ---     |

[Condorcet Winner]
  No strict Condorcet winner; weak Condorcet winner: Oak — matches the STAR winner

[Condorcet Loser]
  No strict Condorcet loser; weak Condorcet loser: Maple (never wins a matchup) — elected by Choose-One (Plurality)!

[Divergence from STAR]
  STAR                   = Oak
  Choose-One (Plurality) = Maple   (differs from STAR)

--- STAR Voting Method (single winner) ---
[STAR Voting]
 Tabulating 6 ballots.
Maple,Oak,Pine
    5,  4,   0
    5,  3,   1
    0,  2,   5
    1,  5,   4
    0,  5,   3
    4,  0,   5

[Score Distribution] (how many ballots gave each star rating)
                Score
Candidate  5  4  3  2  1  0  | Total   Avg
Maple      2  1  0  0  1  2  |    15   2.5
Oak        2  1  1  1  0  1  |    19   3.2
Pine       2  1  1  0  1  1  |    18   3.0

[STAR Voting: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Oak           -- 19 -- First place
   Pine          -- 18 -- Second place
   Maple         -- 15
 Oak and Pine advance.

[STAR Voting: Automatic Runoff Round]
 The candidate preferred in the most head-to-head matchups wins.
   Oak           -- 4 -- First place
   Pine          -- 2
   Equal Support -- 0
 Oak wins.
   Runoff math:
     6  ballots cast
   − 0  Equal Support (no preference between the two finalists)
     ─
     6  voters with a preference  (majority = 4)
           Oak 4 (67%)  ·  Pine 2 (33%)

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