====================================================================== SOURCE FILE: bv2174_yyhr66_noshow_baseline.yaml TABULATED FILE: bv2174_yyhr66_noshow_baseline_tabulated.txt ====================================================================== election_title: "No-show paradox (1 of 2) — 8 April fans stay home; RCV-IRV elects Bruno" scenario_description: |- The Participation criterion, live — the baseline half of a matched pair (see 07_Concepts/topics/participation/). 54 voters: 16 April>Bruno>Celia, 18 Bruno>Celia>April, 20 Celia>April>Bruno. Eight MORE April fans (same sincere ranking) exist but stay home here; the companion file adds them. With the 8 absent: RCV-IRV eliminates April (16 first choices) and elects Bruno 34-20. STAR is a Runoff Reversal — Celia tops the scores 136/122/120 but Bruno wins the automatic runoff 34-20. Choose-One elects Celia (20/18/16). The pairwise picture is a perfect Condorcet cycle (April 36-18 Bruno, Bruno 34-20 Celia, Celia 38-16 April) — the soil every no-show paradox grows in. No Ranked Robin BV race: a Copeland three-way tie resolves at RANDOM on BetterVoting (not freezable); LH's margin tiebreak resolves it deterministically to Celia (+4), shown in this file's mirror. LIVE on BetterVoting as BV2174 (three races: STAR, RCV-IRV, Choose-One). Live results: https://bettervoting.com/yyhr66/results Matched file: bv2175_9dhv8y_noshow_showup.yaml (the 8 fans vote — and RCV-IRV hands them their LAST choice). voting_method: STAR num_winners: 1 paradoxes: [no-show, condorcet-cycle] bv_test_id: BV2174 bv_election_id: yyhr66 bv_results_url: https://bettervoting.com/yyhr66/results ballots: |- Count:April,Bruno,Celia 16:5,2,0 # April > Bruno > Celia 18:0,5,2 # Bruno > Celia > April 20:2,0,5 # Celia > April > Bruno expected_winners: - Bruno # file: bv2174_yyhr66_noshow_baseline.yaml ====================================================================== TABULATION RESULTS ====================================================================== === No-show paradox (1 of 2) — 8 April fans stay home; RCV-IRV elects Bruno === The Participation criterion, live — the baseline half of a matched pair (see 07_Concepts/topics/participation/). 54 voters: 16 April>Bruno>Celia, 18 Bruno>Celia>April, 20 Celia>April>Bruno. Eight MORE April fans (same sincere ranking) exist but stay home here; the companion file adds them. With the 8 absent: RCV-IRV eliminates April (16 first choices) and elects Bruno 34-20. STAR is a Runoff Reversal — Celia tops the scores 136/122/120 but Bruno wins the automatic runoff 34-20. Choose-One elects Celia (20/18/16). The pairwise picture is a perfect Condorcet cycle (April 36-18 Bruno, Bruno 34-20 Celia, Celia 38-16 April) — the soil every no-show paradox grows in. No Ranked Robin BV race: a Copeland three-way tie resolves at RANDOM on BetterVoting (not freezable); LH's margin tiebreak resolves it deterministically to Celia (+4), shown in this file's mirror. LIVE on BetterVoting as BV2174 (three races: STAR, RCV-IRV, Choose-One). Live results: https://bettervoting.com/yyhr66/results Matched file: bv2175_9dhv8y_noshow_showup.yaml (the 8 fans vote — and RCV-IRV hands them their LAST choice). --- Runoff (Preference) Matrix --- Head-to-head / pairwise comparison Legend: For - Equal Support - Against * indicates Top 2 Finalist | April | * Bruno | * Celia | ------------------------------------------------------------- April > | --- |36 - 0 - 18 |16 - 0 - 38 | * Bruno > | 18 - 0 - 36 | --- |34 - 0 - 20 | * Celia > | 38 - 0 - 16 |20 - 0 - 34 | --- | [Condorcet Winner] No Condorcet winner (majority cycle: April > Bruno > Celia > April) [Divergence from STAR] STAR = Bruno Choose-One (Plurality) = Celia (differs from STAR) Approval = Celia (differs from STAR) RCV-RR = Celia (differs from STAR) Full round-by-round reports (generated for review): RCV-RR round-robin: cases_tabulated/bv2174_yyhr66_noshow_baseline_RCV-RR_tabulated.txt [Runoff Reversal] - Score Round Winner(s) = (Celia) - Runoff Round Winner = (Bruno) Candidate Celia earned the highest total score, but Candidate Bruno won the automatic runoff — not a malfunction, STAR working as designed: the runoff elects the finalist preferred by the majority (of voters with a preference). --- STAR Voting Method (single winner) --- [STAR Voting] Tabulating 54 ballots. Count × April,Bruno,Celia 20 × 2, 0, 5 18 × 0, 5, 2 16 × 5, 2, 0 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg April 16 0 0 20 0 18 | 120 2.2 Bruno 18 0 0 16 0 20 | 122 2.3 Celia 20 0 0 18 0 16 | 136 2.5 [STAR Voting: Scoring Round] The two highest-scoring candidates advance to the next round. Celia -- 136 -- First place Bruno -- 122 -- Second place April -- 120 Celia and Bruno advance. [STAR Voting: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. Bruno -- 34 -- First place Celia -- 20 Equal Support -- 0 Bruno wins. Runoff math: 54 ballots cast − 0 Equal Support (no preference between the two finalists) ── 54 voters with a preference (majority = 28) Bruno 34 (63%) · Celia 20 (37%) [STAR Voting: Winner — STAR Voting Method (single winner)] Bruno