Fishburn Ex.14 — Choose-One: A wins on first choices¶

Generated from bv2160_r6qc8h_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: A

▶ Live on BetterVoting: vote · results ↗ (election r6qc8h · test BV2160).

Scenario¶

Race 2 of 2 in the Borda-truncation election (BV2160, bvid r6qc8h; BV-confirmed). Source: Dan S. Felsenthal (2010), Appendix A5, Example 14, adapted from Fishburn (1974: 543) — see bv2160_r6qc8h_star.yaml for the setup. The same 7 voters under Choose-One: first choices A 3, B 2, C 2 → A. So this tiny cyclic electorate splits three ways across counts: Plurality → A, STAR → B, Borda (on paper) → C — and Borda's C evaporates into an A/B tie if three voters merely truncate. The tabulation, not the ballot, decides. Live results: https://bettervoting.com/r6qc8h/results

Ballots¶

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

A,B,C,D
1,0,0,0
1,0,0,0
1,0,0,0
0,1,0,0
0,1,0,0
0,0,1,0
0,0,1,0

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.

                     A      B      C      D   
                     X      -      -      -   
                     X      -      -      -   
                     X      -      -      -   
                     -      X      -      -   
                     -      X      -      -   
                     -      -      X      -   
                     -      -      X      -   

  Count the marks:  A 3 · B 2 · C 2 · D 0

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

Run it yourself:

python STARVote_LH_tabulation_engine/starvote_larry_hastings.py method_comparisons/felsenthal_paradoxes/cases/bv2160_r6qc8h_plurality.yaml

See also¶