Minimax Ex.29 — Choose-One: agrees with Minimax, elects the absolute loser D¶

Generated from bv2167_f3dxq9_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: D

▶ Live on BetterVoting: vote · results ↗ (election f3dxq9 · test BV2167).

Scenario¶

Race 2 of 2 in the Minimax-elects-the-absolute-loser election (BV2167, bvid f3dxq9; BV-confirmed). Source: Dan S. Felsenthal (2010), Appendix A10, Example 29 — see bv2167_f3dxq9_star.yaml for the setup. The same 11 voters under Choose-One: first choices D 5, C 3, A 2, B 1 → D — the candidate who loses every head-to-head 5–6 and whom a majority (6 of 11) rank dead last. Choose-One and Minimax (worked on the case page) agree on the absolute loser, for opposite reasons: Choose-One sees only D's five committed fans; Minimax sees only that D's defeats are narrow. Live results: https://bettervoting.com/f3dxq9/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
0,0,0,1
0,0,0,1
0,0,0,1
0,0,0,1
0,0,0,1
0,0,1,0
0,0,1,0
0,0,1,0
0,1,0,0
1,0,0,0
1,0,0,0

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 11 ballots.

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

  Count the marks:  D 5 · C 3 · A 2 · B 1

Winner — Choose-One / Plurality Voting Method (single winner)
 D   (5 of 11 marks)

Run it yourself:

python STARVote_LH_tabulation_engine/starvote_larry_hastings.py method_comparisons/felsenthal_paradoxes/cases/bv2167_f3dxq9_plurality.yaml

See also¶

Glossary · all cases by method