BV parity — STAR: runner-up tie, Allison wins¶

Generated from BV_Library_star_runnerup_tie.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: Allison

Scenario¶

Ported from BetterVoting's tabulator unit tests (Star.test.ts :: "Runnerup tie"). Allison wins; Bill is the runner-up after tie handling.

Ballots¶

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

Allison,Bill,Carmen,Doug
5,4,3,3
4,5,1,1
4,5,1,2
3,5,1,0
5,4,3,0
5,0,4,1
5,0,4,0
4,0,5,1
3,4,5,0
3,5,5,4

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 10 ballots.
Allison,Bill,Carmen,Doug
      5,   4,     3,   3
      4,   5,     1,   1
      4,   5,     1,   2
      3,   5,     1,   0
      5,   4,     3,   0
      5,   0,     4,   1
      5,   0,     4,   0
      4,   0,     5,   1
      3,   4,     5,   0
      3,   5,     5,   4

[STAR Voting: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Allison       -- 41 -- First place
   Bill          -- 32 -- Tied for second place
   Carmen        -- 32 -- Tied for second place
   Doug          -- 12
 Allison advances, but there's a two-way tie for second.

[STAR Voting: Scoring Round: First tiebreaker]
 The candidate preferred in the most head-to-head matchups advances.
   Bill          -- 5 -- Second place
   Carmen        -- 4
   Equal Support -- 1
 Allison and Bill advance.

[STAR Voting: Automatic Runoff Round]
 The candidate preferred in the most head-to-head matchups wins.
   Allison       -- 5 -- Tied for first place
   Bill          -- 5 -- Tied for first place
   Equal Support -- 0
 There's a two-way tie for first.

[STAR Voting: Automatic Runoff Round: First tiebreaker]
 The highest-scoring candidate wins.
   Allison       -- 41 -- First place
   Bill          -- 32
 Allison wins.

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

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
        Note: Bill and Carmen tied at 32 in the Scoring Round, and the
              head-to-head rung advanced Bill. The * marks who advanced, not
              who scored highest.

                |  * Allison  |  * Bill    |   Carmen   |    Doug    |
----------------------------------------------------------------------
    * Allison > |     ---     | 5 - 0 - 5  | 7 - 0 - 3  | 9 - 0 - 1  |
       * Bill > |  5 - 0 - 5  |    ---     | 5 - 1 - 4  | 7 - 1 - 2  |
       Carmen > |  3 - 0 - 7  | 4 - 1 - 5  |    ---     | 7 - 2 - 1  |
         Doug > |  1 - 0 - 9  | 2 - 1 - 7  | 1 - 2 - 7  |    ---     |

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

[Condorcet Loser]
  Condorcet Loser: Doug — 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    4  3  3  0  0  0  |    41   4.1
Bill       4  3  0  0  0  3  |    32   3.2
Carmen     3  2  2  0  3  0  |    32   3.2
Doug       0  1  1  1  3  4  |    12   1.2

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_runnerup_tie.yaml

BV parity — STAR: runner-up tie, Allison wins¶

Scenario¶

Ballots¶

What the engine says¶

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

See also¶