Crowded field, rung 3 — 3 candidates, 65 voters, counted by RCV-IRV¶

Generated from crowded_field_c3_irv.yaml — do not edit by hand. Regenerate: python STARVote_LH_tabulation_engine/tools_adam/scripts/build_yaml_pages.py.

Method: RCV-IRV (Instant Runoff) · 1 seat · Expected winner: Diego

Official tie-break (lot) order: Ana > Diego > Greta — consulted only if every deterministic tiebreaker stays tied (how the ladder works).

Scenario¶

RUNG 1, counted by RCV-IRV on the voters' real rankings. Diego takes 34 first choices of 65 — an outright majority in round 1 — and the count ends there. Nothing for instant runoff to get wrong yet.

Round 1 of this report is also the Choose-One (Plurality) result: Diego, 34 of 65.

Same 65 voters and the same fixed candidate positions as crowded_field_c3_star.yaml, on a ranked ballot — the same ballots as crowded_field_c3_ranked_robin.yaml, counted by elimination instead of head-to-head.

Construction: build_ladder.py in this folder. 65 voters in seven blocs at 0, 4, 8, 12, 16, 20, 24 (sizes 6, 10, 13, 9, 12, 8, 7); candidates fixed at Ana 1 · Bruno 6 · Clara 9 · Diego 11 · Elsa 14 · Felix 16 · Greta 22; utility = minus distance; scores = each bloc's own min-max scaling onto 0–5. Nothing is tuned, and no count at any rung is settled by a tie-break.

Ballots¶

Each row is one voter's ranking, most-preferred first (N: prefix = N identical ballots).

6:Ana>Diego>Greta    # bloc at 0
10:Ana>Diego>Greta    # bloc at 4
13:Diego>Ana>Greta    # bloc at 8
9:Diego>Greta>Ana    # bloc at 12
12:Diego>Greta>Ana    # bloc at 16
8:Greta>Diego>Ana    # bloc at 20
7:Greta>Diego>Ana    # bloc at 24

What the engine says¶

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

--- RCV / Instant-Runoff Voting (single winner) ---
  Crowded field, rung 3 — 3 candidates, 65 voters, counted by RCV-IRV
 Tabulating 65 ballots (ranked ballots).

FINAL RESULT
Candidate      Votes  Status
-----------  -------  --------
Diego             34  Elected
Ana               16  Rejected
Greta             15  Rejected


Winner(s) — RCV / Instant-Runoff Voting (single winner)
  Diego

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

--- Smith Set (the generalized Condorcet winner) ---
The smallest group whose every member beats every candidate outside it —
the honest answer to "who is even in contention?".
   Smith set (1 of 3): Diego
   Outside (2):        Ana, Greta
   One member ⇒ Diego is the Condorcet winner, beating every rival head-to-head.
   RCV-IRV winner Diego is INSIDE the Smith set. ✓
      Not guaranteed — RCV-IRV is not Smith-efficient — but it holds here.
   More: 07_Concepts/topics/smith_set.md

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/crowded_field/cases/crowded_field_c3_irv.yaml

Crowded field, rung 3 — 3 candidates, 65 voters, counted by RCV-IRV¶

Scenario¶

Ballots¶

What the engine says¶

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

See also¶