BV2147 — Felsenthal Example 3 (I of III): District I elects Bruno

▶ Live on BetterVoting: vote · results ↗ (election 9gdrqg).

District I of the Reinforcement-paradox trio (source and full story: BV2149 — the combined election; Felsenthal 2010, Appendix §A2, Example 3). 17 voters:

No. of voters    Preference ordering
      4          Alma  > Bruno > Cora
      1          Bruno > Alma  > Cora
      5          Bruno > Cora  > Alma
      6          Cora  > Alma  > Bruno
      1          Cora  > Bruno > Alma

No first-round majority (Alma 4, Bruno 6, Cora 7), so plurality-with-runoff (= IRV for three candidates) deletes Alma, and Bruno beats Cora 10–7. STAR on the same ballots (5/3/1 map: 47/51/55) also elects Bruno, runoff 10–7. BV confirms both (results ↗); LH agrees, no tiebreaks.

Worth noticing: this district's pairwise preferences are a Condorcet cycle — Alma>Bruno 10–7, Bruno>Cora 10–7, Cora>Alma 12–5 — so no Condorcet winner exists here. (That's also why the trio carries no Ranked Robin race: BV would break the cyclic tie at random, which can't be frozen.)

Bruno also wins District II outright — and then the combined electorate elects Alma. Teaching page: multiple_districts.md.

Files: bv2147_9gdrqg_irv.yaml · bv2147_9gdrqg_star.yaml · frozen export · mirrors: IRV, STAR.