Preference vs Support — the center TOLERATED (wings score Blair 1)¶

Generated from bv2225_ywx39y_center_tolerated.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: Alex

▶ Live on BetterVoting: vote · results ↗ (election ywx39y · test BV2225).

Scenario¶

The "tolerated" half of a matched pair (companion: the SUPPORTED election, bv2226_82gg36_center_supported). Three candidates on a spectrum — Alex (a pole), Blair (the center), Cole (the other pole). Blair is every faction's second choice and the Condorcet winner, but the two wings score him only a GRUDGING 1. The rankings here are byte-identical to the SUPPORTED election; the ONLY thing that changes between the two is Blair's score from the wings (1 here, 4 there). Because the orders are identical, the ranked methods can't tell the two elections apart: RCV-IRV center-squeezes Blair both times (-> Alex); Ranked Robin finds Blair the Condorcet winner both times (-> Blair). Only STAR responds to the support level: with Blair at a thin 1 he misses the runoff, and STAR elects the candidate with a real base, Alex. Flip the wings' Blair score to 4 (the companion) and STAR alone moves to Blair. That is the whole preference-vs-support lesson as a live election. Live results: https://bettervoting.com/ywx39y/results

Ballots¶

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

Count:Alex,Blair,Cole
15:5,1,0   # Alex > Blair > Cole   (Blair a grudging 2nd — scored 1)
6:1,5,0    # Blair > Alex > Cole   (Blair's base — unchanged in both elections)
15:0,1,5   # Cole > Blair > Alex   (Blair a grudging 2nd — scored 1)

What the engine says¶

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

[Divergence from STAR]
  STAR               = Alex
  RCV-RR (Condorcet) = Blair   (differs from STAR)
  Full round-by-round reports (generated for review):
  RCV-RR round-robin: cases_tabulated/bv2225_ywx39y_center_tolerated_RCV-RR_tabulated.txt

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

[STAR Voting]
 Tabulating 36 ballots.
Count × Alex,Blair,Cole
   15 ×    5,    1,   0
   15 ×    0,    1,   5
    6 ×    1,    5,   0

[STAR Voting: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Alex          -- 81 -- First place
   Cole          -- 75 -- Second place
   Blair         -- 60
 Alex and Cole advance.

[STAR Voting: Automatic Runoff Round]
 The candidate preferred in the most head-to-head matchups wins.
   Alex          -- 21 -- First place
   Cole          -- 15
   Equal Support --  0
 Alex wins.
   Runoff math:
     36  ballots cast
   −  0  Equal Support (no preference between the two finalists)
     ──
     36  voters with a preference  (majority = 19)
           Alex 21 (58%)  ·  Cole 15 (42%)

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

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
                 |    * Alex    |    Blair    |   * Cole    |
-------------------------------------------------------------
        * Alex > |     ---      |15 -  0 - 21 |21 -  0 - 15 |
         Blair > | 21 -  0 - 15 |    ---      |21 -  0 - 15 |
        * Cole > | 15 -  0 - 21 |15 -  0 - 21 |    ---      |

[Condorcet Winner]
  Condorcet Winner: Blair — STAR elected Alex instead (Blair was eliminated in the scoring round)

[Condorcet Loser]
  Condorcet Loser: Cole — 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
Alex       15   0   0   0   6  15  |    81   2.3
Blair       6   0   0   0  30   0  |    60   1.7
Cole       15   0   0   0   0  21  |    75   2.1

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/preference_vs_support/cases/bv2225_ywx39y_center_tolerated.yaml

Preference vs Support — the center TOLERATED (wings score Blair 1)¶

Scenario¶

Ballots¶

What the engine says¶

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

See also¶