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BV parity — STAR: runoff, lower total wins the runoff

Generated from BV_Library_star_runoff.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: Bill

Scenario

Ported from BetterVoting's tabulator unit tests (Star.test.ts :: "Runoff"). Bill wins the automatic runoff despite a simple two-ballot field.

Ballots

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

Allison,Bill
0,5
2,4

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 2 ballots.
Allison,Bill
      0,   5
      2,   4

[STAR Voting: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Bill          -- 9 -- First place
   Allison       -- 2 -- Second place
 Bill and Allison advance.

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

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

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
                |  * Allison  |  * Bill    |
--------------------------------------------
    * Allison > |     ---     | 0 - 0 - 2  |
       * Bill > |  2 - 0 - 0  |    ---     |

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

[Condorcet Loser]
  Condorcet Loser: Allison — 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
Allison    0  0  0  1  0  1  |     2   1.0
Bill       1  1  0  0  0  0  |     9   4.5

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/BV_Library/cases/BV_Library_star_runoff.yaml

See also

More cases in this set: BV_Library_approval_single_winner · BV_Library_plurality_single_winner · BV_Library_ranked_robin_single_winner · BV_Library_ranked_robin_ties · BV_Library_star_condorcet_winner · BV_Library_star_pr_basic_two_seats · BV_Library_star_pr_fractional_surplus · BV_Library_star_pr_voters_fewer_than_seats · BV_Library_star_runnerup_tie · BV_Library_star_runoff_score_tie_five_star · BV_Library_star_runoff_tie_score_resolves