====================================================================== SOURCE FILE: bv2175_9dhv8y_noshow_showup.yaml TABULATED FILE: bv2175_9dhv8y_noshow_showup_tabulated.txt ====================================================================== election_title: "No-show paradox (2 of 2) — the 8 April fans vote; RCV-IRV hands them their LAST choice" scenario_description: |- The Participation criterion, live — the show-up half of the matched pair (see 07_Concepts/topics/participation/). Identical to bv2174_yyhr66_noshow_baseline.yaml plus 8 more sincere April>Bruno>Celia ballots: 62 voters — 24 April>Bruno>Celia, 18 Bruno>Celia>April, 20 Celia>April>Bruno. What showing up buys the 8, by method: - Choose-One: Celia -> April. Helped — last choice replaced by favorite. - STAR: Bruno -> April (scores 160/138/136; runoff April 44-18). Helped — their favorite wins; more sincere support moved the result their way. - RCV-IRV: Bruno -> CELIA. HURT — their extra first-choice votes kept April alive past round one, which got Bruno (their fallback) eliminated at 18 instead; Bruno's transfers then elect Celia 38-24, their LAST choice. Voting sincerely for their favorite made their outcome worse than staying home — the no-show paradox, and (read forward) the Twin paradox: 8 voters identical to the 16 arrived, and the group did worse. Same Condorcet cycle as the baseline (April 44-18, Bruno 42-20, Celia 38-24); no Ranked Robin BV race for the same freezability reason (LH's margin tiebreak: April, +6 — shown in this file's mirror). LIVE on BetterVoting as BV2175 (three races: STAR, RCV-IRV, Choose-One). Live results: https://bettervoting.com/9dhv8y/results voting_method: STAR num_winners: 1 paradoxes: [no-show, twin, condorcet-cycle] bv_test_id: BV2175 bv_election_id: 9dhv8y bv_results_url: https://bettervoting.com/9dhv8y/results ballots: |- Count:April,Bruno,Celia 24:5,2,0 # April > Bruno > Celia (16 + the 8 who showed up) 18:0,5,2 # Bruno > Celia > April 20:2,0,5 # Celia > April > Bruno expected_winners: - April # file: bv2175_9dhv8y_noshow_showup.yaml ====================================================================== TABULATION RESULTS ====================================================================== === No-show paradox (2 of 2) — the 8 April fans vote; RCV-IRV hands them their LAST choice === The Participation criterion, live — the show-up half of the matched pair (see 07_Concepts/topics/participation/). Identical to bv2174_yyhr66_noshow_baseline.yaml plus 8 more sincere April>Bruno>Celia ballots: 62 voters — 24 April>Bruno>Celia, 18 Bruno>Celia>April, 20 Celia>April>Bruno. What showing up buys the 8, by method: - Choose-One: Celia -> April. Helped — last choice replaced by favorite. - STAR: Bruno -> April (scores 160/138/136; runoff April 44-18). Helped — their favorite wins; more sincere support moved the result their way. - RCV-IRV: Bruno -> CELIA. HURT — their extra first-choice votes kept April alive past round one, which got Bruno (their fallback) eliminated at 18 instead; Bruno's transfers then elect Celia 38-24, their LAST choice. Voting sincerely for their favorite made their outcome worse than staying home — the no-show paradox, and (read forward) the Twin paradox: 8 voters identical to the 16 arrived, and the group did worse. Same Condorcet cycle as the baseline (April 44-18, Bruno 42-20, Celia 38-24); no Ranked Robin BV race for the same freezability reason (LH's margin tiebreak: April, +6 — shown in this file's mirror). LIVE on BetterVoting as BV2175 (three races: STAR, RCV-IRV, Choose-One). Live results: https://bettervoting.com/9dhv8y/results --- Runoff (Preference) Matrix --- Head-to-head / pairwise comparison Legend: For - Equal Support - Against * indicates Top 2 Finalist | * April | * Bruno | Celia | ------------------------------------------------------------- * April > | --- |44 - 0 - 18 |24 - 0 - 38 | * Bruno > | 18 - 0 - 44 | --- |42 - 0 - 20 | Celia > | 38 - 0 - 24 |20 - 0 - 42 | --- | [Condorcet Winner] No Condorcet winner (majority cycle: April > Bruno > Celia > April) [Divergence from STAR] STAR = April RCV-IRV = Celia (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/bv2175_9dhv8y_noshow_showup_RCV-IRV_tabulated.txt --- STAR Voting Method (single winner) --- [STAR Voting] Tabulating 62 ballots. Count × April,Bruno,Celia 24 × 5, 2, 0 20 × 2, 0, 5 18 × 0, 5, 2 [Score Distribution] (how many ballots gave each star rating) Score Candidate 5 4 3 2 1 0 | Total Avg April 24 0 0 20 0 18 | 160 2.6 Bruno 18 0 0 24 0 20 | 138 2.2 Celia 20 0 0 18 0 24 | 136 2.2 [STAR Voting: Scoring Round] The two highest-scoring candidates advance to the next round. April -- 160 -- First place Bruno -- 138 -- Second place Celia -- 136 April and Bruno advance. [STAR Voting: Automatic Runoff Round] The candidate preferred in the most head-to-head matchups wins. April -- 44 -- First place Bruno -- 18 Equal Support -- 0 April wins. Runoff math: 62 ballots cast − 0 Equal Support (no preference between the two finalists) ── 62 voters with a preference (majority = 32) April 44 (71%) · Bruno 18 (29%) [STAR Voting: Winner — STAR Voting Method (single winner)] April