Voting styles — five more ways to fill out one 5-star ballot¶

Generated from 03d_c5_b5_style-gallery-five-more.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: Clara

Scenario¶

A companion to the eight-style gallery (03c), for the five styles that gallery doesn't show: approval-style (only 0s and 5s), the exaggerated compromise (a fear-driven 5 for the candidate you'd honestly rate mid-field), a partial ballot (score the two you've heard of, leave the rest blank), a compressed middle (everything 2s and 3s), and a null ballot (every candidate the same score). One voter per style. Three of the five say nothing in the runoff. The null ballot says nothing anywhere — delete it and the finalists, the winner and both runoff tallies are identical (Clara 21/Alice 15 becomes Clara 18/Alice 12: every total drops by the same 3, so nothing moves relative to anything else). That is "equal scores indicate no preference" taken to its limit. The exaggerated-compromise voter is the sharp one: Clara was their real favorite and they gave the front-runner Alice a 5 as insurance, so when the final came down to exactly Clara vs Alice they had no preference left to express. Meanwhile the compressed-middle voter, whose widest gap is a single point, cast a full-strength runoff vote — runoff votes count direction, not distance. Lesson: 01_STAR/01_Learn/voting_styles/README.md

Ballots¶

The ballots as marked — the filled bubble is the score given, and the score is the number in its column:

#	Alice	Bruno	Clara	Diego	Erin
1	5	0	5	0	0
2	5	1	5	2	0
3	-	-	5	3	-
4	2	2	3	2	3
5	3	3	3	3	3

The same ballots as the file records them:

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

Markers on these ballots: - blank · ~ race abstention · & candidate abstention · ? spoiled · % spoiled+reissued — all tabulate as 0 (reported honestly).

Alice,Bruno,Clara,Diego,Erin
    5,    0,    5,    0,   0   # approval-style: a yes/no threshold, only 0s and 5s
    5,    1,    5,    2,   0   # exaggerated compromise: Clara is the favorite, Alice a fearful 5
    -,    -,    5,    3,   -   # partial ballot: only knows Clara and Diego; blanks count as 0
    2,    2,    3,    2,   3   # compressed middle: everything 2s and 3s, nothing extreme
    3,    3,    3,    3,   3   # null ballot: same score for everyone — no preference anywhere

What the engine says¶

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

[Divergence from STAR]
  STAR                   = Clara
  Choose-One (Plurality) = Alice   (differs from STAR)
  RCV-IRV                = Alice   (differs from STAR)
  Note: 4 of 5 ballots (80%) had equal non-zero scores, so their ranks were
        decided by candidate priority order. The RCV-IRV result may be an
        artifact of score-to-rank tie-breaking rather than a deep
        difference.
  Note: Ranked Robin (RCV-RR) agrees with STAR, so RCV-IRV is the lone
        outlier — the classic center-squeeze signature.
  Full round-by-round reports (generated for review):
  RCV-IRV rounds: cases_tabulated/03d_c5_b5_style-gallery-five-more_RCV-IRV_tabulated.txt

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

[STAR Voting]
 Tabulating 5 ballots.
Alice,Bruno,Clara,Diego,Erin
    5,    0,    5,    0,   0
    5,    1,    5,    2,   0
    -,    -,    5,    3,   -
    2,    2,    3,    2,   3
    3,    3,    3,    3,   3
  ('-' = left blank / abstained; '0' = scored zero — both count as 0 stars.)

[STAR Voting: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Clara         -- 21 -- First place
   Alice         -- 15 -- Second place
   Diego         -- 10
   Bruno         --  6
   Erin          --  6
 Clara and Alice advance.

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

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

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
               |  * Alice   |   Bruno   | * Clara   |   Diego   |    Erin   |
-----------------------------------------------------------------------------
     * Alice > |    ---     |2 - 3 - 0  |0 - 3 - 2  |2 - 2 - 1  |2 - 2 - 1  |
       Bruno > | 0 - 3 - 2  |   ---     |0 - 1 - 4  |0 - 3 - 2  |1 - 3 - 1  |
     * Clara > | 2 - 3 - 0  |4 - 1 - 0  |   ---     |4 - 1 - 0  |3 - 2 - 0  |
       Diego > | 1 - 2 - 2  |2 - 3 - 0  |0 - 1 - 4  |   ---     |2 - 2 - 1  |
        Erin > | 1 - 2 - 2  |1 - 3 - 1  |0 - 2 - 3  |1 - 2 - 2  |   ---     |

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

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

[Score Distribution] (how many ballots gave each star rating)
                Score
Candidate  5  4  3  2  1  0  Abs  | Total  Avg all  Avg rated
Alice      2  0  1  1  0  0    1  |    15      3.0        3.8
Bruno      0  0  1  1  1  1    1  |     6      1.2        1.5
Clara      3  0  2  0  0  0    0  |    21      4.2        4.2
Diego      0  0  2  2  0  1    0  |    10      2.0        2.0
Erin       0  0  2  0  0  2    1  |     6      1.2        1.5
  Avg all   = Total / all ballots — a blank counts as 0, so this is the Total the Scoring Round ranks on, per ballot.
  Avg rated = Total / the ballots that scored this candidate (Abs excluded) — support among voters who had an opinion.

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 01_STAR/02_Examples/cases/03d_c5_b5_style-gallery-five-more.yaml

Voting styles — five more ways to fill out one 5-star ballot¶

Scenario¶

Ballots¶

What the engine says¶

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

See also¶