P3 sincere — STAR elects Dublin (ranks converted 5/4/3/2/0)¶

Generated from p3_sincere_star.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: Dublin

▶ Live on BetterVoting: vote · results ↗ (election 4w96tr · test BV2253).

Scenario¶

The same seven sincere voters under STAR, with each ranking converted to scores on a 5/4/3/2/0 spacing (five candidates will not fit 0-5 evenly, so some spacing must be chosen; this outcome is robust — 5/4/3/1/0 and 5/3/2/1/0 also elect Dublin). Scoring round: Dublin 23, Edinburgh 22, Cork 20, Bergen 17, Athens 16. Finalists Dublin and Edinburgh; the runoff goes to Dublin 5-2, because Dublin beats Edinburgh head-to-head. So STAR and plurality agree on Dublin here while Copeland/Ranked Robin and Borda both say Edinburgh. The manipulated counterpart is p3_manip_star.yaml — STAR is manipulable on this profile too.

Ballots¶

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

Athens,Bergen,Cork,Dublin,Edinburgh
2:3,0,4,2,5
3:0,3,2,5,4
2:5,4,3,2,0

What the engine says¶

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

[Divergence from STAR]
  STAR     = Dublin
  Approval = Bergen   (differs from STAR)
  RCV-RR   = Edinburgh   (differs from STAR)
  Full round-by-round reports (generated for review):
  RCV-RR round-robin: cases_tabulated/p3_sincere_star_RCV-RR_tabulated.txt

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

[STAR Voting]
 Tabulating 7 ballots.
Count × Athens,Bergen,Cork,Dublin,Edinburgh
    3 ×      0,     3,   2,     5,        4
    2 ×      3,     0,   4,     2,        5
    2 ×      5,     4,   3,     2,        0

[STAR Voting: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Dublin        -- 23 -- First place
   Edinburgh     -- 22 -- Second place
   Cork          -- 20
   Bergen        -- 17
   Athens        -- 16
 Dublin and Edinburgh advance.

[STAR Voting: Automatic Runoff Round]
 The candidate preferred in the most head-to-head matchups wins.
   Dublin        -- 5 -- First place
   Edinburgh     -- 2
   Equal Support -- 0
 Dublin wins.
   Runoff math:
     7  ballots cast
   − 0  Equal Support (no preference between the two finalists)
     ─
     7  voters with a preference  (majority = 4)
           Dublin 5 (71%)  ·  Edinburgh 2 (29%)

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

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
                  |     Athens    |    Bergen    |     Cork     |  * Dublin    | * Edinburgh  |
-----------------------------------------------------------------------------------------------
         Athens > |      ---      |  4 - 0 - 3   |  2 - 0 - 5   |  4 - 0 - 3   |  2 - 0 - 5   |
         Bergen > |   3 - 0 - 4   |     ---      |  5 - 0 - 2   |  2 - 0 - 5   |  2 - 0 - 5   |
           Cork > |   5 - 0 - 2   |  2 - 0 - 5   |     ---      |  4 - 0 - 3   |  2 - 0 - 5   |
       * Dublin > |   3 - 0 - 4   |  5 - 0 - 2   |  3 - 0 - 4   |     ---      |  5 - 0 - 2   |
    * Edinburgh > |   5 - 0 - 2   |  5 - 0 - 2   |  5 - 0 - 2   |  2 - 0 - 5   |     ---      |

[Condorcet Winner]
  No Condorcet winner (majority cycle: Athens > Bergen > Cork > Athens)

[Score Distribution] (how many ballots gave each star rating)
                Score
Candidate  5  4  3  2  1  0  | Total   Avg
Athens     2  0  2  0  0  3  |    16   2.3
Bergen     0  2  3  0  0  2  |    17   2.4
Cork       0  2  2  3  0  0  |    20   2.9
Dublin     3  0  0  4  0  0  |    23   3.3
Edinburgh  2  3  0  0  0  2  |    22   3.1

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/manipulability_p3/cases/p3_sincere_star.yaml

P3 sincere — STAR elects Dublin (ranks converted 5/4/3/2/0)¶

Scenario¶

Ballots¶

What the engine says¶

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

See also¶