Skip to content

Borda SCC Ex.15 — Choose-One: C wins on first choices

Generated from bv2161_q3h4fk_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: C

▶ Live on BetterVoting: vote · results ↗ (election q3h4fk · test BV2161).

Scenario

Race 2 of 2 in the Borda-SCC election (BV2161, bvid q3h4fk; BV-confirmed). Source: Dan S. Felsenthal (2010), Appendix A5, Example 15 — see bv2161_q3h4fk_star.yaml for the setup and the profile note (the paper's printed C>A>B bloc is arithmetic-corrected to C>B>A). The same 7 voters under Choose-One: first choices A 2, B 2, C 3 → C. All three live counts (STAR, Plurality) and Borda's paper count pick C; the paradox on the case page is Borda's SCC instability — B's exit flips Borda (and, honestly, any two-candidate count, since A beats C 4–3) to A. Live results: https://bettervoting.com/q3h4fk/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
1,0,0
1,0,0
0,1,0
0,1,0
0,0,1
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.

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

  Count the marks:  C 3 · A 2 · B 2

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

Run it yourself:

python STARVote_LH_tabulation_engine/starvote_larry_hastings.py method_comparisons/felsenthal_paradoxes/cases/bv2161_q3h4fk_plurality.yaml

See also

More cases in this set: bv2144_mxfmhm_plurality · bv2144_mxfmhm_star · bv2145_6fj2kg_irv · bv2145_6fj2kg_ranked_robin · bv2145_6fj2kg_star · bv2146_krk2px_irv · bv2146_krk2px_ranked_robin · bv2146_krk2px_star · bv2147_9gdrqg_irv · bv2147_9gdrqg_star · bv2148_h87k6v_irv · bv2148_h87k6v_star · bv2149_byk9v2_irv · bv2149_byk9v2_star · bv2150_dxg8pb_irv · bv2150_dxg8pb_ranked_robin · bv2150_dxg8pb_star · bv2151_97hbpw_irv · bv2151_97hbpw_ranked_robin · bv2151_97hbpw_star · bv2152_r6ctvy_approval · bv2152_r6ctvy_ranked_robin · bv2153_pcttmr_approval · bv2153_pcttmr_irv · bv2153_pcttmr_ranked_robin · bv2154_wq6yv7_approval · bv2154_wq6yv7_irv · bv2154_wq6yv7_ranked_robin · bv2160_r6qc8h_plurality · bv2160_r6qc8h_star · bv2161_q3h4fk_star · bv2162_4htk44_irv · bv2162_4htk44_ranked_robin · bv2162_4htk44_star · bv2163_74j6vv_irv · bv2163_74j6vv_ranked_robin · bv2163_74j6vv_star · bv2164_xbqq8t_plurality · bv2164_xbqq8t_ranked_robin · bv2164_xbqq8t_star · bv2165_9vxcj7_plurality · bv2165_9vxcj7_star · bv2166_b7b8dv_plurality · bv2166_b7b8dv_star · bv2167_f3dxq9_plurality · bv2167_f3dxq9_star · coombs_ex18_monotonicity · coombs_ex20_amalgamated · coombs_ex20_district1 · coombs_ex20_district2 · coombs_ex21_twin_after · coombs_ex21_twin_before · coombs_ex22_scc · felsenthal_ex6_pareto_approval · felsenthal_ex6_ranked_robin · minimax_ex30_noshow_after · minimax_ex30_noshow_before · minimax_ex31_truncation · minimax_ex32_amalgamated · minimax_ex32_district2 · minimax_ex33_scc · succ_elim_ex10_amalgamated · succ_elim_ex10_district1 · succ_elim_ex10_district2 · succ_elim_ex11_twin_after · succ_elim_ex11_twin_before · succ_elim_ex12_sincere · succ_elim_ex12_truncated · succ_elim_ex9_noshow · succ_elim_ex9_pareto