Resignation monotonicity — the three seats RRV fills¶

Generated from resign_rrv_seated_c5_b5.yaml — do not edit by hand. Regenerate: python STARVote_LH_tabulation_engine/tools_adam/scripts/build_yaml_pages.py.

Method: Reweighted Range Voting (proportional STAR) · 3 seats · Expected winners: Fern, Gus, Hana

Scenario¶

Five voters, three seats, under Reweighted Range Voting — the other proportional score rule in this engine.

Fern and Gus each have exactly one supporter and nothing else. Hana, Ivan and Juno share three overlapping supporters, one of whom (the fifth voter) also backs Fern.

RRV elects Fern, Gus and Hana — unique under every tie-breaking order.

BEFORE half of a matched pair; Hana then resigns in resign_rrv_after_hana_c4_b5.yaml.

Ballots¶

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

Fern,Gus,Hana,Ivan,Juno
5,0,0,0,0     # Fern only
0,5,0,0,0     # Gus only
0,0,5,5,0     # Hana + Ivan
0,0,5,0,5     # Hana + Juno
5,0,5,5,5     # Fern + the whole Hana/Ivan/Juno slate

What the engine says¶

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

[Divergence from STAR]
  STAR                   = Hana
  Choose-One (Plurality) = Fern   (differs from STAR)

--- Reweighted Range Voting Method (3 winners) ---

[Reweighted Range Voting]
 Tabulating 5 ballots to fill 3 seats.
Fern,Gus,Hana,Ivan,Juno
   5,  0,   0,   0,   0
   0,  5,   0,   0,   0
   0,  0,   5,   5,   0
   0,  0,   5,   0,   5
   5,  0,   5,   5,   5

[Reweighted Range Voting: Round 1: Score round]
 The highest-scoring candidate wins a seat.
   Hana          -- 15 -- First place
   Fern          -- 10
   Ivan          -- 10
   Juno          -- 10
   Gus           --  5
 Hana wins a seat.

[Reweighted Range Voting: Round 1: Reweighing Ballots]
 3 ballots reweighted from 1 to 1/2.

[Reweighted Range Voting: Round 2: Score round]
 The highest-scoring candidate wins a seat.
   Fern          -- 7+1/2 -- First place
   Gus           -- 5
   Ivan          -- 5
   Juno          -- 5
 Fern wins a seat.

[Reweighted Range Voting: Round 2: Reweighing Ballots]
 Reweighted 2 ballots:
   1 ballot reweighted from 1 to 1/2.
   1 ballot reweighted from 1/2 to 1/3.

[Reweighted Range Voting: Round 3: Score round]
 The highest-scoring candidate wins a seat.
   Gus           -- 5     -- First place
   Ivan          -- 4+1/6
   Juno          -- 4+1/6
 Gus wins a seat.

[Reweighted Range Voting: Winners — Reweighted Range Voting Method (3 winners)]
 Fern
 Gus
 Hana

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

--- Preference Matrix ---
Head-to-head / pairwise comparison
Legend: For - Equal Support - Against
        Informational only — not part of the 3-winner count below,
        so no Top-2 finalists are marked.
               |     Fern   |    Gus    |    Hana   |    Ivan   |    Juno   |
-----------------------------------------------------------------------------
        Fern > |    ---     |2 - 2 - 1  |1 - 2 - 2  |1 - 3 - 1  |1 - 3 - 1  |
         Gus > | 1 - 2 - 2  |   ---     |1 - 1 - 3  |1 - 2 - 2  |1 - 2 - 2  |
        Hana > | 2 - 2 - 1  |3 - 1 - 1  |   ---     |1 - 4 - 0  |1 - 4 - 0  |
        Ivan > | 1 - 3 - 1  |2 - 2 - 1  |0 - 4 - 1  |   ---     |1 - 3 - 1  |
        Juno > | 1 - 3 - 1  |2 - 2 - 1  |0 - 4 - 1  |1 - 3 - 1  |   ---     |

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

[Condorcet Loser]
  Condorcet Loser: Gus — 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
Fern       2  0  0  0  0  3  |    10   2.0
Gus        1  0  0  0  0  4  |     5   1.0
Hana       3  0  0  0  0  2  |    15   3.0
Ivan       2  0  0  0  0  3  |    10   2.0
Juno       2  0  0  0  0  3  |    10   2.0

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 04_Approval/03_Criteria/cases/resign_rrv_seated_c5_b5.yaml

Resignation monotonicity — the three seats RRV fills¶

Scenario¶

Ballots¶

What the engine says¶

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

See also¶