======================================================================
SOURCE FILE:     ex03_five_verdicts.yaml
TABULATED FILE:  ex03_five_verdicts_tabulated.txt
======================================================================

election_title: "Exercise 3 — One electorate, five verdicts (the snack vote)"
bv_test_id: BV2191
bv_election_id: ywqhq4
bv_results_url: https://bettervoting.com/ywqhq4/results

scenario_description: |-
  Nine voters pick the office snack. Choose-One elects Apple (4 first
  choices) — who loses head-to-head to BOTH rivals (the Condorcet loser).
  RCV-IRV eliminates Cherry first (2 first choices) and elects Banana.
  Approval (approve = score 3+) gives Cherry 9 of 9. Score gives Cherry 34
  of a possible 45. STAR advances Cherry and Apple and Cherry wins the
  runoff 5-4. And Ranked Robin confirms Cherry as the Condorcet winner.
  One electorate, five different verdicts from five tabulations — the
  ballot-vs-method lesson of the exercise ex03_five_verdicts.md. Structure
  inspired by the worked comparisons in Brendan W. Sullivan, "An
  Introduction to the Math of Voting Methods" (2022), ch. 5; ballots and
  cast are this repo's own.
  Live on BetterVoting (Test ID BV2191): https://bettervoting.com/ywqhq4/results
  — one election, five races (Choose-One, RCV-IRV, Approval, STAR, Ranked
  Robin), all five verdicts live; BV agrees with LH on every race.
voting_method: STAR
num_winners: 1
ballots: |-
  Apple,Banana,Cherry
  5,0,3 # 4 voters: Apple fans, Cherry a solid second
  5,0,3
  5,0,3
  5,0,3
  0,5,4 # 3 voters: Banana fans, Cherry nearly as good
  0,5,4
  0,5,4
  0,1,5 # 2 voters: Cherry fans, cool on both others
  0,1,5
expected_winners:
  - Cherry

# file: ex03_five_verdicts.yaml

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

=== Exercise 3 — One electorate, five verdicts (the snack vote) ===
  Nine voters pick the office snack. Choose-One elects Apple (4 first
  choices) — who loses head-to-head to BOTH rivals (the Condorcet loser).
  RCV-IRV eliminates Cherry first (2 first choices) and elects Banana.
  Approval (approve = score 3+) gives Cherry 9 of 9. Score gives Cherry 34
  of a possible 45. STAR advances Cherry and Apple and Cherry wins the
  runoff 5-4. And Ranked Robin confirms Cherry as the Condorcet winner.
  One electorate, five different verdicts from five tabulations — the
  ballot-vs-method lesson of the exercise ex03_five_verdicts.md. Structure
  inspired by the worked comparisons in Brendan W. Sullivan, "An
  Introduction to the Math of Voting Methods" (2022), ch. 5; ballots and
  cast are this repo's own.
  Live on BetterVoting (Test ID BV2191): https://bettervoting.com/ywqhq4/results
  — one election, five races (Choose-One, RCV-IRV, Approval, STAR, Ranked
  Robin), all five verdicts live; BV agrees with LH on every race.

--- Runoff (Preference) Matrix ---
Head-to-head / pairwise comparison
Legend: For - Equal Support - Against
        * indicates Top 2 Finalist
               |  * Apple   |   Banana  | * Cherry  |
-----------------------------------------------------
     * Apple > |    ---     |4 - 0 - 5  |4 - 0 - 5  |
      Banana > | 5 - 0 - 4  |   ---     |3 - 0 - 6  |
    * Cherry > | 5 - 0 - 4  |6 - 0 - 3  |   ---     |

[Condorcet Winner]
  Condorcet Winner: Cherry — matches the STAR winner

[Condorcet Loser]
  Condorcet Loser: Apple — loses every head-to-head matchup — elected by Choose-One (Plurality)!

[Divergence from STAR]
  STAR                   = Cherry
  Choose-One (Plurality) = Apple   (differs from STAR)
  RCV-IRV                = Banana   (differs from STAR)
  Note: no ballots had tied scores, so RCV-IRV vs STAR here is a genuine
        method difference, not a tie-breaking artifact.
  Note: Ranked Robin (RCV-RR) agrees with STAR, so RCV-IRV is the lone
        outlier — the classic center-squeeze signature.
  Full round-by-round reports (generated for review):
  RCV-IRV rounds: cases_tabulated/ex03_five_verdicts_RCV-IRV_tabulated.txt

--- STAR Voting Method (single winner) ---
[STAR Voting]
 Tabulating 9 ballots.
Count × Apple,Banana,Cherry
    4 ×     5,     0,     3
    3 ×     0,     5,     4
    2 ×     0,     1,     5

[Score Distribution] (how many ballots gave each star rating)
                Score
Candidate  5  4  3  2  1  0  | Total   Avg
Apple      4  0  0  0  0  5  |    20   2.2
Banana     3  0  0  0  2  4  |    17   1.9
Cherry     2  3  4  0  0  0  |    34   3.8

[STAR Voting: Scoring Round]
 The two highest-scoring candidates advance to the next round.
   Cherry        -- 34 -- First place
   Apple         -- 20 -- Second place
   Banana        -- 17
 Cherry and Apple advance.

[STAR Voting: Automatic Runoff Round]
 The candidate preferred in the most head-to-head matchups wins.
   Cherry        -- 5 -- First place
   Apple         -- 4
   Equal Support -- 0
 Cherry wins.
   Runoff math:
     9  ballots cast
   − 0  Equal Support (no preference between the two finalists)
     ─
     9  voters with a preference  (majority = 5)
           Cherry 5 (56%)  ·  Apple 4 (44%)

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