Felsenthal Ex.1 — Choose-One (Plurality): the absolute loser wins¶

Generated from bv2144_mxfmhm_plurality.yaml — do not edit by hand. Regenerate: python STARVote_LH_tabulation_engine/tools_adam/scripts/build_yaml_pages.py.

Method: plurality · 1 seat · Expected winner: Ana

▶ Live on BetterVoting: vote · results ↗ (election mxfmhm · test BV2144).

Official tie-break (lot) order: Ana > Cal > Bo — consulted only if every deterministic tiebreaker stays tied (how the ladder works).

Scenario¶

Race 1 of 2 in the Felsenthal plurality-paradoxes election (BV2144, bvid mxfmhm; BV-confirmed). Source: Dan S. Felsenthal, "Review of Paradoxes Afflicting Various Voting Procedures Where One Out of m Candidates (m ≥ 2) Must Be Elected", University of Haifa / LSE, revised 26 May 2010 (Leverhulme Trust "Voting Power in Practice" workshop, Château du Baffy, Normandy); Appendix A1, Example 1. 7 voters, three candidates (Ana=a, Bo=b, Cal=c); rankings 3×(Ana>Bo>Cal), 2×(Bo>Cal>Ana), 2×(Cal>Bo>Ana). Bo is the Condorcet winner (beats Ana 4–3, Cal 5–2). Ana is both the Condorcet LOSER and the ABSOLUTE loser — a majority (4 of 7) rank Ana dead last. Yet Choose-One elects Ana 3–2–2 on first choices; and if Cal dropped out, Bo would beat Ana 4–3 — Felsenthal's SCC (the spoiler effect). Four paradoxes in one 7-voter election. Live results: https://bettervoting.com/mxfmhm/results

Ballots¶

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

Ana,Bo,Cal
1,0,0
1,0,0
1,0,0
0,1,0
0,1,0
0,0,1
0,0,1

What the engine says¶

Full report from the _tabulated mirror (regenerated on every run; every analysis forced on):

--- Choose-One / Plurality Voting Method (single winner) ---
 Tabulating 7 ballots.

                    Ana     Bo    Cal  
                     X      -      -   
                     X      -      -   
                     X      -      -   
                     -      X      -   
                     -      X      -   
                     -      -      X   
                     -      -      X   

  Count the marks:  Ana 3 · Cal 2 · Bo 2

Winner — Choose-One / Plurality Voting Method (single winner)
 Ana   (3 of 7 marks)

Run it yourself:

python STARVote_LH_tabulation_engine/starvote_larry_hastings.py method_comparisons/felsenthal_paradoxes/cases/bv2144_mxfmhm_plurality.yaml

See also¶