BV1815 — Bloc STAR, 3 candidates, 2 seats (seat 2 by score tiebreak)¶

Generated from bv1815_bloc_3c2s_basic.yaml — do not edit by hand. Regenerate: python STARVote_LH_tabulation_engine/tools_adam/scripts/build_yaml_pages.py.

Method: Bloc STAR (multi-winner, majoritarian) · 2 seats · Expected winners: A, C

Scenario¶

The LH reference for BetterVoting test BV1815 (a real election, id fk38pk, marked Passed). Labeled "basic/simple", but it quietly exercises the score tiebreaker at the second seat.

Bloc STAR, 3 candidates, 2 seats. Totals: A=12, B=1, C=2. - Seat 1: A (12) and C (2) advance; A wins the runoff 3-0, taking seat 1. - Seat 2: remove A -> B and C. In the runoff B and C TIE 1-1 (one voter prefers each; one is Equal Support). The tie falls to the SCORE rung: C's total (2) beats B's (1), so C takes seat 2. Winners: A, C. BetterVoting agrees (tieBreakType: "score", elected A, C) — this case Passes; it's the Bloc analog of a runoff decided by the score tiebreaker. (Aside: the BV export labels votingMethod "STAR" rather than "Bloc STAR" — #904.)

Ballots¶

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

A,B,C
4,1,0
3,0,2
5,0,0

What the engine says¶

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

--- Bloc STAR Voting Method (2 winners) ---

[Bloc STAR]
 Tabulating 3 ballots to fill 2 seats.
A,B,C
4,1,0
3,0,2
5,0,0

[Bloc STAR: Round 1: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   A             -- 12 -- First place
   C             --  2 -- Second place
   B             --  1
 A and C advance.

[Bloc STAR: Round 1: Automatic Runoff Round]
 The candidate preferred in the most head-to-head matchups wins.
   A             -- 3 -- First place
   C             -- 0
   Equal Support -- 0
 A wins.
   Runoff math:
     3  ballots cast
   − 0  Equal Support (no preference between the two finalists)
     ─
     3  voters with a preference  (majority = 2)
           A 3 (100%)  ·  C 0 (0%)

──────────────────────────────────────────────────

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

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

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

[Bloc STAR: Winners — Bloc STAR Voting Method (2 winners)]
 A
 C

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

--- 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.
               |      A     |     B     |     C     |
-----------------------------------------------------
           A > |    ---     |3 - 0 - 0  |3 - 0 - 0  |
           B > | 0 - 0 - 3  |   ---     |1 - 1 - 1  |
           C > | 0 - 0 - 3  |1 - 1 - 1  |   ---     |

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

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

[Score Distribution] (how many ballots gave each star rating)
                Score
Candidate  5  4  3  2  1  0  | Total   Avg
A          1  1  1  0  0  0  |    12   4.0
B          0  0  0  0  1  2  |     1   0.3
C          0  0  0  1  0  2  |     2   0.7

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 02_STAR_Bloc/02_Examples/cases/bv1815_bloc_3c2s_basic.yaml

BV1815 — Bloc STAR, 3 candidates, 2 seats (seat 2 by score tiebreak)¶

Scenario¶

Ballots¶

What the engine says¶

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

See also¶