======================================================================
SOURCE FILE:     crowded_field_c3_ranked_robin.yaml
TABULATED FILE:  crowded_field_c3_ranked_robin_tabulated.txt
======================================================================

election_title: "Crowded field, rung 3 — 3 candidates, 65 voters, counted by Ranked Robin"

scenario_description: |-
  RUNG 1, counted by Ranked Robin. Diego beats Ana 49–16 and Greta 50–15: a clean
  Condorcet winner and a Smith set of one. Agrees with crowded_field_c3_star.yaml and
  with every other method at this rung.

  Same 65 voters and the same fixed candidate positions as crowded_field_c3_star.yaml;
  this file hands them a ranked ballot instead of a 0–5 one.

  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.

voting_method: RankedRobin
num_winners: 1

lot_numbers: [Ana, Diego, Greta]

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

expected_winners:
  - Diego

======================================================================
TABULATION RESULTS
======================================================================

--- Ranked Robin (RCV-RR / Copeland) Method (single winner) ---
 Tabulating 65 ballots (ranked ballots).

Ballots:
    16 × Ana > Diego > Greta
    13 × Diego > Ana > Greta
    21 × Diego > Greta > Ana
    15 × Greta > Diego > Ana

Round-Robin — every pair, head-to-head (For – Against):
   Diego  beats Ana     49 – 16
   Greta  beats Ana     36 – 29
   Diego  beats Greta   50 – 15

--- Pairwise (Round-Robin) Matrix ---
Head-to-head / pairwise comparison — the Ranked Robin tally
Legend: For - Equal Support - Against   (row vs column)
          |     Ana      |   Diego     |   Greta     |
------------------------------------------------------
    Ana > |     ---      |16 -  0 - 49 |29 -  0 - 36 |
  Diego > | 49 -  0 - 16 |    ---      |50 -  0 - 15 |
  Greta > | 36 -  0 - 29 |15 -  0 - 50 |    ---      |

Win–loss record — Copeland score = wins + ½·ties (highest score wins; ties broken by total margin, then lot order):
    #  Candidate  W–L–T  Copeland  Margin  Beats
    1  Diego      2–0–0         2     +68  Greta, Ana
    2  Greta      1–1–0         1     -28  Ana
    3  Ana        0–2–0         0     -40  —

Winner — Ranked Robin (RCV-RR): Diego
   beats every opponent head-to-head — the Condorcet winner.

--- 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.
   Ranked Robin (RCV-RR) winner Diego is INSIDE the Smith set. ✓
      Guaranteed: Ranked Robin (Copeland) is Smith-efficient — every member of
      the set outscores every outsider, so the top of the win–loss table is
      always inside the set, however the tie among them is then broken.
   More: 07_Concepts/topics/smith_set.md