Summability demo — STAR district A (Maple wins outright)¶

Generated from star_district_A.yaml — do not edit by hand. Regenerate: python STARVote_LH_tabulation_engine/tools_adam/scripts/build_yaml_pages.py.

Method: STAR (single winner) · 1 seat · Expected winner: Maple

Official tie-break (lot) order: Maple > Oak > Pine — consulted only if every deterministic tiebreaker stays tied (how the ladder works).

Scenario¶

District A of the STAR summability trio: 3 ballots, Maple wins. The point of the trio: STAR's precinct subtotals — per-candidate score sums and the pairwise matrix — can be published as-is and simply ADDED. See star_combined.yaml, where this district's tallies and district B's sum, cell by cell, to the combined result with no ballot-level recount.

Ballots¶

Row 1 = candidate names; each later row is one voter's 0–5 scores (a N × prefix = N identical ballots).

Maple, Oak, Pine
5,4,0
5,3,1
0,2,5

What the engine says¶

The count, step by step — the rounds and how the winner is reached:

--- STAR Voting Method (single winner) ---

[STAR Voting]
 Tabulating 3 ballots.
Maple,Oak,Pine
    5,  4,   0
    5,  3,   1
    0,  2,   5

[STAR Voting: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Maple         -- 10 -- First place
   Oak           --  9 -- Second place
   Pine          --  6
 Maple and Oak advance.

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

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

Full audit — preference matrix, Condorcet, and score distribution¶

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

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

[Condorcet Loser]
  Condorcet Loser: Pine — loses every head-to-head matchup

[Score Distribution] (how many ballots gave each star rating)
                Score
Candidate  5  4  3  2  1  0  | Total   Avg
Maple      2  0  0  0  0  1  |    10   3.3
Oak        0  1  1  1  0  0  |     9   3.0
Pine       1  0  0  0  1  1  |     6   2.0

Everything in one file: the _tabulated mirror (regenerated on every run; every analysis forced on).

Run it yourself:

python STARVote_LH_tabulation_engine/starvote_larry_hastings.py method_comparisons/summability_demo/cases/star_district_A.yaml

Summability demo — STAR district A (Maple wins outright)¶

Scenario¶

Ballots¶

What the engine says¶

Full audit — preference matrix, Condorcet, and score distribution¶

See also¶