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Three candidates, two ballots - single-winner STAR

Generated from 02b_c3_b2_three-candidates.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: Vanilla

Scenario

Election: Pick your favorite ice cream flavor. Two voters (two ballots). Same as before, but now we add a second ballot from David.

David: - He likes Vanilla best (5 stars) - He quite likes Almond (4 stars) - He dislikes Choco (0 stars)

Watch the winner change. Choco flavor candidate is polarizing (Caroline 5, David 0), while Vanilla has broad support (Caroline 3, David 5) - so Vanilla now wins. STAR rewards the broadly-liked compromise over a candidate that half the voters reject.

Ballots

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

# Ballot as marked Choco Vanilla Almond
1 A 0–5 STAR ballot — Caroline likes Choco (5) and Vanilla (3): Choco 5, Vanilla 3, Almond 0. 5 3 0
2 A 0–5 STAR ballot — David likes Vanilla (5) best and Almond (4): Choco 0, Vanilla 5, Almond 4. 0 5 4

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).

Choco,Vanilla,Almond
    5,      3,     0 # Caroline likes Choco (5) and Vanilla (3)
    0,      5,     4 # David likes Vanilla (5) best and Almond (4)

What the engine says

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

[Divergence from STAR]
  STAR                   = Vanilla
  Choose-One (Plurality) = Choco   (differs from STAR)

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

[STAR Voting]
 Tabulating 2 ballots.
Choco,Vanilla,Almond
    5,      3,     0
    0,      5,     4

[STAR Voting: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Vanilla       -- 8 -- First place
   Choco         -- 5 -- Second place
   Almond        -- 4
 Vanilla and Choco advance.

[STAR Voting: Automatic Runoff Round]
 The candidate preferred in the most head-to-head matchups wins.
   Choco         -- 1 -- Tied for first place
   Vanilla       -- 1 -- 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.
   Vanilla       -- 8 -- First place
   Choco         -- 5
 Vanilla wins.

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

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
                |   * Choco   | * Vanilla  |   Almond   |
---------------------------------------------------------
      * Choco > |     ---     | 1 - 0 - 1  | 1 - 0 - 1  |
    * Vanilla > |  1 - 0 - 1  |    ---     | 2 - 0 - 0  |
       Almond > |  1 - 0 - 1  | 0 - 0 - 2  |    ---     |

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

[Condorcet Loser]
  No strict Condorcet loser; jointly weak Condorcet losers: Choco, Almond (winless — pairwise ties) — Choco elected by Choose-One (Plurality)!

[Score Distribution] (how many ballots gave each star rating)
                Score
Candidate  5  4  3  2  1  0  | Total   Avg
Choco      1  0  0  0  0  1  |     5   2.5
Vanilla    1  0  1  0  0  0  |     8   4.0
Almond     0  1  0  0  0  1  |     4   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 01_STAR/02_Examples/cases/02b_c3_b2_three-candidates.yaml

See also

More cases in this set: 02a_c3_b1_three-candidates · 03a_c3_b3_style-bullet-vote · 03b_c3_b3_1_style-protest-vote · 03b_c3_b3_2_expand_style-protest-vote · 03c_c6_b8_style-gallery · 03d_c5_b5_style-gallery-five-more · 04b_c4_b3_display-options-all · 05a_c5_b3_unanimous-ballots · 06a_c9_b3_large-field-equal-support · 06b_c9_runoff-overturns-leader · 09_c4_b100_tennessee-capital · abstentions · bv2182_tg4779_faq_runoff_reversal · bv2184_fyy886_lunch_vote · bv2187_qrw6wb_ann-bob-cal · bv2256_c8h3tb_traditional_style · bv2263_xw23m9_over_50_percent · csv_ambiguity_ex1_c4_b8 · display_options_demo · equal_support_runoff_demo · quorum_demo_c3_b6 · quorum_fail_demo_c3_b6 · same_mean_different_spread_c2_b5 · star_ala_approval · three_winners_cw_score_runoff · vote_splitting · vote_splitting2 · vote_splitting3 · vote_splitting_scenario1_spoiler · vote_splitting_scenario2_bloc_leads · vote_splitting_scenario3_outsider_wins