====================================================================== SOURCE FILE: resign_rrv_seated_c5_b5.yaml TABULATED FILE: resign_rrv_seated_c5_b5_tabulated.txt ====================================================================== election_title: Resignation monotonicity — the three seats RRV fills voting_method: rrv num_winners: 3 scenario_description: |- 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: |- 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 expected_winners: [Fern, Gus, Hana] # file: resign_rrv_seated_c5_b5.yaml ====================================================================== TABULATION RESULTS ====================================================================== === Resignation monotonicity — the three seats RRV fills === 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`. --- 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 [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 [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 [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