Burlington 2009 mayor — Ranked Robin: Montroll, a perfect 5-0 Condorcet winner¶
Generated from burlington_2009_ranked_robin.yaml — do not edit by hand. Regenerate: python STARVote_LH_tabulation_engine/tools_adam/scripts/build_yaml_pages.py.
Method: Ranked Robin (RCV-RR / Copeland) · 1 seat · Expected winner: Montroll
Scenario¶
The same real ballots counted round-robin: Montroll beats Kiss 4063-3476, Wright 4596-3663, Smith 4569-2996, Simpson 6261-591, and Write-In 6656-100 — five wins, zero losses. The candidate a majority preferred to every single rival is the one RCV-IRV eliminated in the semifinal. Lesson page: README.md in this folder. Real ballots: PrefLib dataset 00005 (00005-00000002.toi, 8,980 ballots, 384 unique orders; from Burlington's published election records). 6 ballots (0.07%) carrying equal-rank overvotes are not representable in this ranked syntax and are excluded — 8,974 tabulated; every official figure reproduces within +/-1 and every margin is hundreds of votes.
Ballots¶
Each row is one voter's ranking, most-preferred first (N: prefix = N identical ballots).
840:Wright
355:Kiss>Montroll
326:Kiss
271:Wright>Smith
256:Wright>Montroll
234:Kiss>Montroll>Smith
200:Montroll>Kiss
178:Montroll
147:Wright>Montroll>Smith
145:Montroll>Kiss>Smith
139:Montroll>Smith
125:Kiss>Smith
124:Smith
123:Kiss>Montroll>Smith>Wright>Simpson
122:Wright>Smith>Montroll
121:Kiss>Smith>Montroll
120:Kiss>Montroll>Smith>Simpson>Wright
104:Wright>Montroll>Smith>Simpson>Kiss
103:Kiss>Montroll>Simpson>Smith>Wright
102:Wright>Montroll>Smith>Kiss>Simpson
101:Wright>Smith>Montroll>Kiss>Simpson
94:Montroll>Wright
93:Montroll>Smith>Kiss
93:Smith>Wright
90:Wright>Smith>Montroll>Simpson>Kiss
90:Smith>Montroll
88:Smith>Kiss>Montroll
83:Smith>Montroll>Kiss
80:Kiss>Smith>Montroll>Simpson>Wright
80:Wright>Kiss
76:Wright>Smith>Simpson>Montroll>Kiss
72:Montroll>Kiss>Smith>Wright>Simpson
71:Kiss>Montroll>Wright>Smith>Simpson
69:Wright>Montroll>Kiss>Smith>Simpson
69:Montroll>Smith>Kiss>Wright>Simpson
66:Kiss>Wright
62:Montroll>Smith>Wright
61:Montroll>Kiss>Smith>Simpson>Wright
60:Montroll>Wright>Smith>Kiss>Simpson
60:Kiss>Montroll>Smith>Wright
58:Smith>Kiss>Montroll>Simpson>Wright
57:Montroll>Wright>Smith
56:Montroll>Wright>Kiss>Smith>Simpson
55:Kiss>Smith>Montroll>Wright>Simpson
54:Wright>Montroll>Smith>Kiss
53:Montroll>Smith>Kiss>Simpson>Wright
52:Smith>Wright>Montroll>Kiss>Simpson
52:Wright>Smith>Kiss>Montroll>Simpson
52:Montroll>Smith>Wright>Kiss>Simpson
52:Kiss>Montroll>Simpson
51:Smith>Kiss
50:Montroll>Kiss>Wright>Smith>Simpson
50:Wright>Kiss>Montroll>Smith>Simpson
50:Smith>Wright>Montroll
48:Kiss>Montroll>Wright
46:Montroll>Kiss>Wright
46:Wright>Montroll>Kiss
45:Wright>Kiss>Smith>Montroll>Simpson
45:Wright>Smith>Montroll>Kiss
43:Smith>Montroll>Kiss>Wright>Simpson
42:Kiss>Montroll>Smith>Simpson
41:Kiss>Montroll>Simpson>Smith
41:Montroll>Smith>Kiss>Wright
39:Kiss>Wright>Montroll>Smith>Simpson
39:Montroll>Wright>Smith>Simpson>Kiss
38:Smith>Montroll>Kiss>Simpson>Wright
38:Montroll>Kiss>Smith>Wright
37:Montroll>Wright>Smith>Kiss
37:Smith>Montroll>Wright
34:Montroll>Wright>Kiss
32:Smith>Kiss>Montroll>Wright>Simpson
32:Montroll>Smith>Wright>Kiss
31:Smith>Montroll>Wright>Kiss>Simpson
31:Kiss>Wright>Montroll
30:Wright>Smith>Kiss
29:Kiss>Smith>Montroll>Wright
28:Smith>Wright>Montroll>Simpson>Kiss
27:Montroll>Kiss>Simpson>Smith>Wright
27:Montroll>Smith>Simpson>Kiss>Wright
27:Smith>Wright>Kiss>Montroll>Simpson
27:Smith>Kiss>Montroll>Wright
27:Smith>Montroll>Wright>Kiss
26:Kiss>Smith>Wright>Montroll>Simpson
26:Smith>Montroll>Kiss>Wright
25:Wright>Simpson
24:Kiss>Simpson>Montroll>Smith>Wright
24:Montroll>Kiss>Wright>Smith
24:Kiss>Montroll>Wright>Smith
24:Wright>Kiss>Montroll
23:Montroll>Smith>Wright>Simpson>Kiss
23:Kiss>Smith>Simpson>Montroll>Wright
22:Montroll>Kiss>Smith>Simpson
21:Kiss>Wright>Smith>Montroll>Simpson
21:Wright>Kiss>Montroll>Simpson>Smith
21:Kiss>Smith>Montroll>Simpson
21:Wright>Kiss>Smith
20:Montroll>Wright>Kiss>Smith
19:Wright>Montroll>Simpson>Smith>Kiss
19:Wright>Smith>Kiss>Montroll
19:Kiss>Simpson
18:Smith>Montroll>Simpson>Kiss>Wright
17:Wright>Smith>Kiss>Simpson>Montroll
17:Smith>Wright>Montroll>Kiss
16:Smith>Kiss>Wright>Montroll>Simpson
16:Wright>Smith>Simpson
16:Kiss>Simpson>Montroll
16:Smith>Wright>Kiss
15:Wright>Smith>Simpson>Kiss>Montroll
15:Smith>Montroll>Simpson>Wright>Kiss
15:Wright>Montroll>Kiss>Smith
15:Kiss>Wright>Smith>Montroll
15:Wright>Kiss>Montroll>Smith
15:Kiss>Smith>Wright>Montroll
15:Kiss>Smith>Simpson
14:Kiss>Montroll>Wright>Simpson>Smith
14:Smith>Kiss>Simpson>Montroll>Wright
13:Kiss>Montroll>Simpson>Wright>Smith
13:Smith>Montroll>Wright>Simpson>Kiss
13:Montroll>Smith>Kiss>Simpson
13:Smith>Kiss>Montroll>Simpson
13:Kiss>Smith>Wright
12:Kiss>Wright>Montroll>Simpson>Smith
12:Kiss>Simpson>Smith>Montroll>Wright
12:Montroll>Wright>Simpson>Smith>Kiss
12:Wright>Kiss>Smith>Simpson>Montroll
12:Smith>Wright>Simpson>Montroll>Kiss
12:Smith>Wright>Kiss>Montroll
12:Kiss>Wright>Montroll>Smith
12:Montroll>Kiss>Simpson
12:Kiss>Wright>Smith
11:Wright>Simpson>Smith>Montroll>Kiss
11:Montroll>Kiss>Wright>Simpson>Smith
11:Montroll>Smith>Simpson>Wright>Kiss
11:Montroll>Kiss>Simpson>Smith
11:Smith>Kiss>Wright
11:Wright>WriteIn
10:Wright>Simpson>Smith>Kiss>Montroll
10:Smith>Kiss>Wright>Simpson>Montroll
10:Wright>Smith>Montroll>Simpson
10:WriteIn
9:Kiss>Smith>Montroll>Simpson>WriteIn
9:Montroll>Simpson>Kiss>Smith>Wright
9:Smith>Simpson>Montroll>Kiss>Wright
9:Kiss>Montroll>Smith>Simpson>WriteIn
9:Wright>Montroll>Kiss>Simpson>Smith
9:Kiss>Smith>Simpson>Montroll
9:Montroll>Simpson>Smith
8:Montroll>Simpson>Smith>Kiss>Wright
8:Montroll>Simpson>Smith>Wright>Kiss
8:Smith>Kiss>Wright>Montroll
8:Smith>Montroll>Kiss>Simpson
8:Kiss>Simpson>Montroll>Smith
8:Wright>Simpson>Smith
8:Kiss>Simpson>Smith
8:Montroll>Smith>Simpson
7:Wright>Montroll>Simpson>Kiss>Smith
7:Kiss>Simpson>Montroll>Wright>Smith
7:Wright>Montroll>Smith>Simpson
7:Montroll>Simpson>Kiss
7:Smith>Kiss>Simpson
6:Kiss>Smith>Simpson>Wright>Montroll
6:Kiss>Smith>Simpson>Montroll>WriteIn
6:Kiss>Wright>Smith>Simpson>Montroll
6:Montroll>Kiss>Smith>Simpson>WriteIn
6:Kiss>Wright>Simpson>Smith>Montroll
6:Kiss>Simpson>Smith>Montroll
6:Smith>Simpson
5:Smith>Simpson>Kiss>Montroll>Wright
5:Smith>Kiss>Montroll>WriteIn>Simpson
5:Smith>Wright>Kiss>Simpson>Montroll
5:Wright>Simpson>Montroll>Smith>Kiss
5:Kiss>Smith>Wright>Simpson>Montroll
5:Kiss>Wright>Simpson>Montroll>Smith
5:Smith>Kiss>Simpson>Montroll
5:Wright>Smith>Simpson>Montroll
5:Wright>Kiss>Smith>Montroll
5:Montroll>Wright>Smith>Simpson
5:Smith>Simpson>Montroll
5:Smith>Montroll>Simpson
5:Montroll>WriteIn
4:Montroll>Kiss>Simpson>Wright>Smith
4:Simpson>Smith>Kiss>Montroll>Wright
4:Kiss>WriteIn>Montroll>Smith>Simpson
4:Wright>Simpson>Montroll>Kiss>Smith
4:Kiss>Smith>Montroll>WriteIn>Simpson
4:Wright>Simpson>Montroll>Kiss
4:Smith>Simpson>Kiss>Montroll
4:Montroll>Kiss>Wright>Simpson
4:Kiss>Wright>Montroll>Simpson
4:Montroll>Smith>Wright>Simpson
4:Montroll>Smith>Wright>WriteIn
4:Wright>Smith>WriteIn
4:Smith>Wright>Simpson
4:Wright>Montroll>WriteIn
4:Kiss>WriteIn
4:Montroll>Simpson
3:Kiss>Montroll>Simpson>Smith>WriteIn
3:Montroll>Kiss>Smith>Wright>WriteIn
3:Kiss>Simpson>Smith>Wright>Montroll
3:Kiss>Simpson>Wright>Montroll>Smith
3:Kiss>Smith>WriteIn>Montroll>Simpson
3:Montroll>Wright>Kiss>Simpson>Smith
3:Smith>Simpson>Montroll>Kiss>WriteIn
3:Smith>Montroll>Kiss>WriteIn>Simpson
3:Smith>Wright>Simpson>Montroll
3:Smith>Wright>Montroll>Simpson
3:Wright>Simpson>WriteIn
3:Montroll>Wright>Simpson
3:Montroll>Kiss>WriteIn
3:Wright>Montroll>Simpson
3:Smith>Montroll>WriteIn
3:Simpson>Wright
3:Simpson>Kiss
3:WriteIn>Montroll
3:WriteIn>Wright
3:WriteIn>Kiss
3:Simpson
2:Wright>Simpson>Kiss>Montroll>Smith
2:Smith>Kiss>Montroll>WriteIn>Wright
2:Smith>Simpson>Kiss>Wright>Montroll
2:Smith>Kiss>Simpson>Montroll>WriteIn
2:Kiss>Simpson>Montroll>WriteIn>Smith
2:Wright>Kiss>Simpson>Smith>Montroll
2:Montroll>Smith>Wright>WriteIn>Kiss
2:Wright>Smith>Montroll>Simpson>WriteIn
2:Smith>Wright>Simpson>Kiss>Montroll
2:WriteIn>Montroll>Smith>Simpson>Kiss
2:Wright>WriteIn>Montroll>Smith>Kiss
2:WriteIn>Montroll>Smith>Kiss>Simpson
2:Smith>Montroll>Kiss>Wright>WriteIn
2:Montroll>Smith>Wright>Simpson>WriteIn
2:Montroll>Kiss>Smith>WriteIn>Simpson
2:Montroll>Simpson>Wright>Kiss>Smith
2:Montroll>WriteIn>Kiss>Smith>Simpson
2:Simpson>Kiss>Montroll>Wright>Smith
2:Smith>Simpson>Wright>Montroll>Kiss
2:WriteIn>Montroll>Simpson>Smith>Kiss
2:Montroll>Smith>Kiss>Simpson>WriteIn
2:Montroll>Simpson>Wright>Smith>Kiss
2:Smith>Montroll>Kiss>WriteIn>Wright
2:Smith>Kiss>WriteIn>Montroll>Simpson
2:Smith>Montroll>Simpson>Kiss
2:Wright>Montroll>Simpson>Kiss
2:Kiss>Montroll>Wright>WriteIn
2:Montroll>Simpson>Smith>Wright
2:Wright>WriteIn>Montroll>Kiss
2:Kiss>Wright>Smith>Simpson
2:Wright>Kiss>Smith>Simpson
2:Montroll>Simpson>Kiss>Wright
2:Montroll>Simpson>Kiss>Smith
2:Montroll>Smith>Simpson>Kiss
2:Kiss>Simpson>Smith>Wright
2:Kiss>Smith>WriteIn
2:Wright>Kiss>Simpson
2:Montroll>Simpson>Wright
2:Smith>Simpson>Kiss
2:Smith>Simpson>Wright
2:Kiss>Simpson>Wright
2:Smith>Wright>WriteIn
2:WriteIn>Montroll>Smith
2:Kiss>Montroll>WriteIn
2:Simpson>Kiss>Montroll
1:Wright>Simpson>Smith>Montroll>WriteIn
1:Kiss>WriteIn>Wright>Simpson>Smith
1:Kiss>Montroll>WriteIn>Wright>Simpson
1:Wright>Simpson>Smith>WriteIn>Montroll
1:Kiss>Montroll>Simpson>WriteIn>Wright
1:Montroll>WriteIn>Smith>Kiss>Simpson
1:Smith>Kiss>Montroll>Wright>WriteIn
1:Wright>Smith>Simpson>Montroll>WriteIn
1:WriteIn>Kiss>Smith>Simpson>Montroll
1:Kiss>Wright>Smith>Montroll>WriteIn
1:Montroll>Simpson>Wright>WriteIn>Kiss
1:Kiss>Simpson>Wright>Smith>Montroll
1:Montroll>Simpson>Smith>Kiss>WriteIn
1:Simpson>Kiss>Montroll>Smith>Wright
1:Smith>Simpson>WriteIn>Montroll>Kiss
1:Wright>Smith>Kiss>Montroll>WriteIn
1:Smith>Montroll>Kiss>Simpson>WriteIn
1:Simpson>Smith>Montroll>Kiss>Wright
1:WriteIn>Wright>Smith>Simpson>Montroll
1:Wright>Montroll>Smith>Kiss>WriteIn
1:Simpson>Montroll>Wright>Kiss>WriteIn
1:Smith>Kiss>Montroll>Simpson>WriteIn
1:Montroll>Kiss>Simpson>Smith>WriteIn
1:Wright>Smith>WriteIn>Montroll>Simpson
1:Smith>Simpson>Wright>Kiss>Montroll
1:Kiss>WriteIn>Smith>Montroll>Simpson
1:Simpson>Wright>Kiss>Smith>Montroll
1:Wright>WriteIn>Montroll>Smith>Simpson
1:Smith>Montroll>Wright>WriteIn>Simpson
1:Kiss>Simpson>WriteIn>Montroll>Wright
1:Montroll>Wright>Simpson>Kiss>Smith
1:WriteIn>Smith>Kiss>Wright>Montroll
1:Smith>Simpson>Montroll>WriteIn>Kiss
1:Montroll>Kiss>Smith>WriteIn>Wright
1:Montroll>Wright>WriteIn>Simpson>Kiss
1:Kiss>WriteIn>Wright>Smith>Simpson
1:Smith>Kiss>Wright>Simpson>WriteIn
1:Kiss>Smith>Simpson>WriteIn>Montroll
1:Wright>WriteIn>Smith>Montroll>Simpson
1:Simpson>Kiss>Wright>Montroll>Smith
1:Simpson>Montroll>Wright>Smith>Kiss
1:Montroll>Kiss>Simpson>WriteIn>Smith
1:Montroll>Smith>Simpson>Wright>WriteIn
1:Simpson>Kiss>Montroll>Wright>WriteIn
1:Kiss>Simpson>Smith>WriteIn>Wright
1:Simpson>Smith>Wright>Montroll>Kiss
1:Montroll>Kiss>WriteIn>Wright>Simpson
1:Kiss>Smith>Montroll>WriteIn>Wright
1:Kiss>Montroll>Smith>Wright>WriteIn
1:Wright>Montroll>Kiss>Smith>WriteIn
1:WriteIn>Wright>Simpson>Montroll>Kiss
1:Wright>Kiss>Simpson>Montroll>Smith
1:Kiss>Simpson>Montroll>Wright>WriteIn
1:Smith>Wright>Kiss>Montroll>WriteIn
1:Kiss>Simpson>Montroll>Smith>WriteIn
1:WriteIn>Montroll>Kiss>Smith>Simpson
1:Wright>Montroll>WriteIn>Smith>Kiss
1:Smith>Montroll>Simpson>Kiss>WriteIn
1:Smith>Simpson>Montroll>Wright>Kiss
1:Kiss>Wright>Simpson>Montroll>WriteIn
1:Wright>Simpson>Kiss>Smith>Montroll
1:Montroll>Simpson>WriteIn>Smith>Kiss
1:Wright>Smith>Montroll>WriteIn>Kiss
1:Wright>Smith>Montroll>WriteIn>Simpson
1:Simpson>Montroll>Smith>Wright>Kiss
1:Simpson>Kiss>Smith>Montroll>WriteIn
1:Kiss>Montroll>Simpson>Wright
1:Wright>Montroll>Simpson>Smith
1:Kiss>Wright>Simpson>Montroll
1:Kiss>Simpson>Smith>WriteIn
1:Montroll>Kiss>WriteIn>Wright
1:Simpson>Kiss>Montroll>Smith
1:Kiss>Smith>Montroll>WriteIn
1:WriteIn>Kiss>Wright>Montroll
1:Montroll>Simpson>Smith>Kiss
1:Simpson>Kiss>Smith>Wright
1:Simpson>Kiss>Smith>Montroll
1:Smith>Simpson>Kiss>Wright
1:Smith>Kiss>Simpson>Wright
1:Montroll>Kiss>Simpson>Wright
1:Kiss>WriteIn>Montroll>Smith
1:Wright>Simpson>Montroll>Smith
1:Montroll>Simpson>Wright>Kiss
1:Kiss>Smith>Wright>Simpson
1:Kiss>Montroll>Smith>WriteIn
1:Wright>Smith>WriteIn>Montroll
1:Wright>Smith>WriteIn>Simpson
1:Smith>Simpson>Montroll>Wright
1:Montroll>WriteIn>Simpson>Smith
1:Montroll>Smith>Simpson>Wright
1:Wright>Montroll>Kiss>Simpson
1:Smith>Montroll>Wright>Simpson
1:Wright>Kiss>Simpson>Montroll
1:Smith>Kiss>Wright>Simpson
1:Montroll>Wright>Smith>WriteIn
1:Smith>Simpson>Montroll>Kiss
1:WriteIn>Montroll>Kiss>Wright
1:Montroll>Wright>WriteIn
1:Wright>Simpson>Montroll
1:Wright>Simpson>Kiss
1:WriteIn>Kiss>Montroll
1:Smith>Simpson>WriteIn
1:Simpson>Smith>Montroll
1:Simpson>Smith>Kiss
1:Simpson>Smith>Wright
1:Kiss>Simpson>WriteIn
1:Simpson>Montroll>Smith
1:Montroll>WriteIn>Simpson
1:Wright>WriteIn>Montroll
1:Wright>WriteIn>Simpson
1:Wright>WriteIn>Kiss
1:Kiss>WriteIn>Montroll
1:Kiss>WriteIn>Wright
1:Simpson>WriteIn
1:Smith>WriteIn
1:WriteIn>Smith
What the engine says¶
The count, step by step — the rounds and how the winner is reached:
--- Ranked Robin (RCV-RR / Copeland) Method (single winner) ---
Tabulating 8974 ballots (ranked ballots).
Ballots:
840 × Wright
355 × Kiss > Montroll
326 × Kiss
271 × Wright > Smith
256 × Wright > Montroll
234 × Kiss > Montroll > Smith
200 × Montroll > Kiss
178 × Montroll
147 × Wright > Montroll > Smith
145 × Montroll > Kiss > Smith
139 × Montroll > Smith
125 × Kiss > Smith
124 × Smith
123 × Kiss > Montroll > Smith > Wright > Simpson
122 × Wright > Smith > Montroll
121 × Kiss > Smith > Montroll
120 × Kiss > Montroll > Smith > Simpson > Wright
104 × Wright > Montroll > Smith > Simpson > Kiss
103 × Kiss > Montroll > Simpson > Smith > Wright
102 × Wright > Montroll > Smith > Kiss > Simpson
101 × Wright > Smith > Montroll > Kiss > Simpson
94 × Montroll > Wright
93 × Montroll > Smith > Kiss
93 × Smith > Wright
90 × Wright > Smith > Montroll > Simpson > Kiss
90 × Smith > Montroll
88 × Smith > Kiss > Montroll
83 × Smith > Montroll > Kiss
80 × Kiss > Smith > Montroll > Simpson > Wright
80 × Wright > Kiss
76 × Wright > Smith > Simpson > Montroll > Kiss
72 × Montroll > Kiss > Smith > Wright > Simpson
71 × Kiss > Montroll > Wright > Smith > Simpson
69 × Wright > Montroll > Kiss > Smith > Simpson
69 × Montroll > Smith > Kiss > Wright > Simpson
66 × Kiss > Wright
62 × Montroll > Smith > Wright
61 × Montroll > Kiss > Smith > Simpson > Wright
60 × Montroll > Wright > Smith > Kiss > Simpson
60 × Kiss > Montroll > Smith > Wright
58 × Smith > Kiss > Montroll > Simpson > Wright
57 × Montroll > Wright > Smith
56 × Montroll > Wright > Kiss > Smith > Simpson
55 × Kiss > Smith > Montroll > Wright > Simpson
54 × Wright > Montroll > Smith > Kiss
53 × Montroll > Smith > Kiss > Simpson > Wright
52 × Smith > Wright > Montroll > Kiss > Simpson
52 × Wright > Smith > Kiss > Montroll > Simpson
52 × Montroll > Smith > Wright > Kiss > Simpson
52 × Kiss > Montroll > Simpson
51 × Smith > Kiss
50 × Montroll > Kiss > Wright > Smith > Simpson
50 × Wright > Kiss > Montroll > Smith > Simpson
50 × Smith > Wright > Montroll
48 × Kiss > Montroll > Wright
46 × Montroll > Kiss > Wright
46 × Wright > Montroll > Kiss
45 × Wright > Kiss > Smith > Montroll > Simpson
45 × Wright > Smith > Montroll > Kiss
43 × Smith > Montroll > Kiss > Wright > Simpson
42 × Kiss > Montroll > Smith > Simpson
41 × Kiss > Montroll > Simpson > Smith
41 × Montroll > Smith > Kiss > Wright
39 × Kiss > Wright > Montroll > Smith > Simpson
39 × Montroll > Wright > Smith > Simpson > Kiss
38 × Smith > Montroll > Kiss > Simpson > Wright
38 × Montroll > Kiss > Smith > Wright
37 × Montroll > Wright > Smith > Kiss
37 × Smith > Montroll > Wright
34 × Montroll > Wright > Kiss
32 × Smith > Kiss > Montroll > Wright > Simpson
32 × Montroll > Smith > Wright > Kiss
31 × Smith > Montroll > Wright > Kiss > Simpson
31 × Kiss > Wright > Montroll
30 × Wright > Smith > Kiss
29 × Kiss > Smith > Montroll > Wright
28 × Smith > Wright > Montroll > Simpson > Kiss
27 × Montroll > Kiss > Simpson > Smith > Wright
27 × Montroll > Smith > Simpson > Kiss > Wright
27 × Smith > Wright > Kiss > Montroll > Simpson
27 × Smith > Kiss > Montroll > Wright
27 × Smith > Montroll > Wright > Kiss
26 × Kiss > Smith > Wright > Montroll > Simpson
26 × Smith > Montroll > Kiss > Wright
25 × Wright > Simpson
24 × Kiss > Simpson > Montroll > Smith > Wright
24 × Montroll > Kiss > Wright > Smith
24 × Kiss > Montroll > Wright > Smith
24 × Wright > Kiss > Montroll
23 × Montroll > Smith > Wright > Simpson > Kiss
23 × Kiss > Smith > Simpson > Montroll > Wright
22 × Montroll > Kiss > Smith > Simpson
21 × Kiss > Wright > Smith > Montroll > Simpson
21 × Wright > Kiss > Montroll > Simpson > Smith
21 × Kiss > Smith > Montroll > Simpson
21 × Wright > Kiss > Smith
20 × Montroll > Wright > Kiss > Smith
19 × Wright > Montroll > Simpson > Smith > Kiss
19 × Wright > Smith > Kiss > Montroll
19 × Kiss > Simpson
18 × Smith > Montroll > Simpson > Kiss > Wright
17 × Wright > Smith > Kiss > Simpson > Montroll
17 × Smith > Wright > Montroll > Kiss
16 × Smith > Kiss > Wright > Montroll > Simpson
16 × Wright > Smith > Simpson
16 × Kiss > Simpson > Montroll
16 × Smith > Wright > Kiss
15 × Wright > Smith > Simpson > Kiss > Montroll
15 × Smith > Montroll > Simpson > Wright > Kiss
15 × Wright > Montroll > Kiss > Smith
15 × Kiss > Wright > Smith > Montroll
15 × Wright > Kiss > Montroll > Smith
15 × Kiss > Smith > Wright > Montroll
15 × Kiss > Smith > Simpson
14 × Kiss > Montroll > Wright > Simpson > Smith
14 × Smith > Kiss > Simpson > Montroll > Wright
13 × Kiss > Montroll > Simpson > Wright > Smith
13 × Smith > Montroll > Wright > Simpson > Kiss
13 × Montroll > Smith > Kiss > Simpson
13 × Smith > Kiss > Montroll > Simpson
13 × Kiss > Smith > Wright
12 × Kiss > Wright > Montroll > Simpson > Smith
12 × Kiss > Simpson > Smith > Montroll > Wright
12 × Montroll > Wright > Simpson > Smith > Kiss
12 × Wright > Kiss > Smith > Simpson > Montroll
12 × Smith > Wright > Simpson > Montroll > Kiss
12 × Smith > Wright > Kiss > Montroll
12 × Kiss > Wright > Montroll > Smith
12 × Montroll > Kiss > Simpson
12 × Kiss > Wright > Smith
11 × Wright > Simpson > Smith > Montroll > Kiss
11 × Montroll > Kiss > Wright > Simpson > Smith
11 × Montroll > Smith > Simpson > Wright > Kiss
11 × Montroll > Kiss > Simpson > Smith
11 × Smith > Kiss > Wright
11 × Wright > WriteIn
10 × Wright > Simpson > Smith > Kiss > Montroll
10 × Smith > Kiss > Wright > Simpson > Montroll
10 × Wright > Smith > Montroll > Simpson
10 × WriteIn
9 × Kiss > Smith > Montroll > Simpson > WriteIn
9 × Montroll > Simpson > Kiss > Smith > Wright
9 × Smith > Simpson > Montroll > Kiss > Wright
9 × Kiss > Montroll > Smith > Simpson > WriteIn
9 × Wright > Montroll > Kiss > Simpson > Smith
9 × Kiss > Smith > Simpson > Montroll
9 × Montroll > Simpson > Smith
8 × Montroll > Simpson > Smith > Kiss > Wright
8 × Montroll > Simpson > Smith > Wright > Kiss
8 × Smith > Kiss > Wright > Montroll
8 × Smith > Montroll > Kiss > Simpson
8 × Kiss > Simpson > Montroll > Smith
8 × Wright > Simpson > Smith
8 × Kiss > Simpson > Smith
8 × Montroll > Smith > Simpson
7 × Wright > Montroll > Simpson > Kiss > Smith
7 × Kiss > Simpson > Montroll > Wright > Smith
7 × Wright > Montroll > Smith > Simpson
7 × Montroll > Simpson > Kiss
7 × Smith > Kiss > Simpson
6 × Kiss > Smith > Simpson > Wright > Montroll
6 × Kiss > Smith > Simpson > Montroll > WriteIn
6 × Kiss > Wright > Smith > Simpson > Montroll
6 × Montroll > Kiss > Smith > Simpson > WriteIn
6 × Kiss > Wright > Simpson > Smith > Montroll
6 × Kiss > Simpson > Smith > Montroll
6 × Smith > Simpson
5 × Smith > Simpson > Kiss > Montroll > Wright
5 × Smith > Kiss > Montroll > WriteIn > Simpson
5 × Smith > Wright > Kiss > Simpson > Montroll
5 × Wright > Simpson > Montroll > Smith > Kiss
5 × Kiss > Smith > Wright > Simpson > Montroll
5 × Kiss > Wright > Simpson > Montroll > Smith
5 × Smith > Kiss > Simpson > Montroll
5 × Wright > Smith > Simpson > Montroll
5 × Wright > Kiss > Smith > Montroll
5 × Montroll > Wright > Smith > Simpson
5 × Smith > Simpson > Montroll
5 × Smith > Montroll > Simpson
5 × Montroll > WriteIn
4 × Montroll > Kiss > Simpson > Wright > Smith
4 × Simpson > Smith > Kiss > Montroll > Wright
4 × Kiss > WriteIn > Montroll > Smith > Simpson
4 × Wright > Simpson > Montroll > Kiss > Smith
4 × Kiss > Smith > Montroll > WriteIn > Simpson
4 × Wright > Simpson > Montroll > Kiss
4 × Smith > Simpson > Kiss > Montroll
4 × Montroll > Kiss > Wright > Simpson
4 × Kiss > Wright > Montroll > Simpson
4 × Montroll > Smith > Wright > Simpson
4 × Montroll > Smith > Wright > WriteIn
4 × Wright > Smith > WriteIn
4 × Smith > Wright > Simpson
4 × Wright > Montroll > WriteIn
4 × Kiss > WriteIn
4 × Montroll > Simpson
3 × Kiss > Montroll > Simpson > Smith > WriteIn
3 × Montroll > Kiss > Smith > Wright > WriteIn
3 × Kiss > Simpson > Smith > Wright > Montroll
3 × Kiss > Simpson > Wright > Montroll > Smith
3 × Kiss > Smith > WriteIn > Montroll > Simpson
3 × Montroll > Wright > Kiss > Simpson > Smith
3 × Smith > Simpson > Montroll > Kiss > WriteIn
3 × Smith > Montroll > Kiss > WriteIn > Simpson
3 × Smith > Wright > Simpson > Montroll
3 × Smith > Wright > Montroll > Simpson
3 × Wright > Simpson > WriteIn
3 × Montroll > Wright > Simpson
3 × Montroll > Kiss > WriteIn
3 × Wright > Montroll > Simpson
3 × Smith > Montroll > WriteIn
3 × Simpson > Wright
3 × Simpson > Kiss
3 × WriteIn > Montroll
3 × WriteIn > Wright
3 × WriteIn > Kiss
3 × Simpson
2 × Wright > Simpson > Kiss > Montroll > Smith
2 × Smith > Kiss > Montroll > WriteIn > Wright
2 × Smith > Simpson > Kiss > Wright > Montroll
2 × Smith > Kiss > Simpson > Montroll > WriteIn
2 × Kiss > Simpson > Montroll > WriteIn > Smith
2 × Wright > Kiss > Simpson > Smith > Montroll
2 × Montroll > Smith > Wright > WriteIn > Kiss
2 × Wright > Smith > Montroll > Simpson > WriteIn
2 × Smith > Wright > Simpson > Kiss > Montroll
2 × WriteIn > Montroll > Smith > Simpson > Kiss
2 × Wright > WriteIn > Montroll > Smith > Kiss
2 × WriteIn > Montroll > Smith > Kiss > Simpson
2 × Smith > Montroll > Kiss > Wright > WriteIn
2 × Montroll > Smith > Wright > Simpson > WriteIn
2 × Montroll > Kiss > Smith > WriteIn > Simpson
2 × Montroll > Simpson > Wright > Kiss > Smith
2 × Montroll > WriteIn > Kiss > Smith > Simpson
2 × Simpson > Kiss > Montroll > Wright > Smith
2 × Smith > Simpson > Wright > Montroll > Kiss
2 × WriteIn > Montroll > Simpson > Smith > Kiss
2 × Montroll > Smith > Kiss > Simpson > WriteIn
2 × Montroll > Simpson > Wright > Smith > Kiss
2 × Smith > Montroll > Kiss > WriteIn > Wright
2 × Smith > Kiss > WriteIn > Montroll > Simpson
2 × Smith > Montroll > Simpson > Kiss
2 × Wright > Montroll > Simpson > Kiss
2 × Kiss > Montroll > Wright > WriteIn
2 × Montroll > Simpson > Smith > Wright
2 × Wright > WriteIn > Montroll > Kiss
2 × Kiss > Wright > Smith > Simpson
2 × Wright > Kiss > Smith > Simpson
2 × Montroll > Simpson > Kiss > Wright
2 × Montroll > Simpson > Kiss > Smith
2 × Montroll > Smith > Simpson > Kiss
2 × Kiss > Simpson > Smith > Wright
2 × Kiss > Smith > WriteIn
2 × Wright > Kiss > Simpson
2 × Montroll > Simpson > Wright
2 × Smith > Simpson > Kiss
2 × Smith > Simpson > Wright
2 × Kiss > Simpson > Wright
2 × Smith > Wright > WriteIn
2 × WriteIn > Montroll > Smith
2 × Kiss > Montroll > WriteIn
2 × Simpson > Kiss > Montroll
1 × Wright > Simpson > Smith > Montroll > WriteIn
1 × Kiss > WriteIn > Wright > Simpson > Smith
1 × Kiss > Montroll > WriteIn > Wright > Simpson
1 × Wright > Simpson > Smith > WriteIn > Montroll
1 × Kiss > Montroll > Simpson > WriteIn > Wright
1 × Montroll > WriteIn > Smith > Kiss > Simpson
1 × Smith > Kiss > Montroll > Wright > WriteIn
1 × Wright > Smith > Simpson > Montroll > WriteIn
1 × WriteIn > Kiss > Smith > Simpson > Montroll
1 × Kiss > Wright > Smith > Montroll > WriteIn
1 × Montroll > Simpson > Wright > WriteIn > Kiss
1 × Kiss > Simpson > Wright > Smith > Montroll
1 × Montroll > Simpson > Smith > Kiss > WriteIn
1 × Simpson > Kiss > Montroll > Smith > Wright
1 × Smith > Simpson > WriteIn > Montroll > Kiss
1 × Wright > Smith > Kiss > Montroll > WriteIn
1 × Smith > Montroll > Kiss > Simpson > WriteIn
1 × Simpson > Smith > Montroll > Kiss > Wright
1 × WriteIn > Wright > Smith > Simpson > Montroll
1 × Wright > Montroll > Smith > Kiss > WriteIn
1 × Simpson > Montroll > Wright > Kiss > WriteIn
1 × Smith > Kiss > Montroll > Simpson > WriteIn
1 × Montroll > Kiss > Simpson > Smith > WriteIn
1 × Wright > Smith > WriteIn > Montroll > Simpson
1 × Smith > Simpson > Wright > Kiss > Montroll
1 × Kiss > WriteIn > Smith > Montroll > Simpson
1 × Simpson > Wright > Kiss > Smith > Montroll
1 × Wright > WriteIn > Montroll > Smith > Simpson
1 × Smith > Montroll > Wright > WriteIn > Simpson
1 × Kiss > Simpson > WriteIn > Montroll > Wright
1 × Montroll > Wright > Simpson > Kiss > Smith
1 × WriteIn > Smith > Kiss > Wright > Montroll
1 × Smith > Simpson > Montroll > WriteIn > Kiss
1 × Montroll > Kiss > Smith > WriteIn > Wright
1 × Montroll > Wright > WriteIn > Simpson > Kiss
1 × Kiss > WriteIn > Wright > Smith > Simpson
1 × Smith > Kiss > Wright > Simpson > WriteIn
1 × Kiss > Smith > Simpson > WriteIn > Montroll
1 × Wright > WriteIn > Smith > Montroll > Simpson
1 × Simpson > Kiss > Wright > Montroll > Smith
1 × Simpson > Montroll > Wright > Smith > Kiss
1 × Montroll > Kiss > Simpson > WriteIn > Smith
1 × Montroll > Smith > Simpson > Wright > WriteIn
1 × Simpson > Kiss > Montroll > Wright > WriteIn
1 × Kiss > Simpson > Smith > WriteIn > Wright
1 × Simpson > Smith > Wright > Montroll > Kiss
1 × Montroll > Kiss > WriteIn > Wright > Simpson
1 × Kiss > Smith > Montroll > WriteIn > Wright
1 × Kiss > Montroll > Smith > Wright > WriteIn
1 × Wright > Montroll > Kiss > Smith > WriteIn
1 × WriteIn > Wright > Simpson > Montroll > Kiss
1 × Wright > Kiss > Simpson > Montroll > Smith
1 × Kiss > Simpson > Montroll > Wright > WriteIn
1 × Smith > Wright > Kiss > Montroll > WriteIn
1 × Kiss > Simpson > Montroll > Smith > WriteIn
1 × WriteIn > Montroll > Kiss > Smith > Simpson
1 × Wright > Montroll > WriteIn > Smith > Kiss
1 × Smith > Montroll > Simpson > Kiss > WriteIn
1 × Smith > Simpson > Montroll > Wright > Kiss
1 × Kiss > Wright > Simpson > Montroll > WriteIn
1 × Wright > Simpson > Kiss > Smith > Montroll
1 × Montroll > Simpson > WriteIn > Smith > Kiss
1 × Wright > Smith > Montroll > WriteIn > Kiss
1 × Wright > Smith > Montroll > WriteIn > Simpson
1 × Simpson > Montroll > Smith > Wright > Kiss
1 × Simpson > Kiss > Smith > Montroll > WriteIn
1 × Kiss > Montroll > Simpson > Wright
1 × Wright > Montroll > Simpson > Smith
1 × Kiss > Wright > Simpson > Montroll
1 × Kiss > Simpson > Smith > WriteIn
1 × Montroll > Kiss > WriteIn > Wright
1 × Simpson > Kiss > Montroll > Smith
1 × Kiss > Smith > Montroll > WriteIn
1 × WriteIn > Kiss > Wright > Montroll
1 × Montroll > Simpson > Smith > Kiss
1 × Simpson > Kiss > Smith > Wright
1 × Simpson > Kiss > Smith > Montroll
1 × Smith > Simpson > Kiss > Wright
1 × Smith > Kiss > Simpson > Wright
1 × Montroll > Kiss > Simpson > Wright
1 × Kiss > WriteIn > Montroll > Smith
1 × Wright > Simpson > Montroll > Smith
1 × Montroll > Simpson > Wright > Kiss
1 × Kiss > Smith > Wright > Simpson
1 × Kiss > Montroll > Smith > WriteIn
1 × Wright > Smith > WriteIn > Montroll
1 × Wright > Smith > WriteIn > Simpson
1 × Smith > Simpson > Montroll > Wright
1 × Montroll > WriteIn > Simpson > Smith
1 × Montroll > Smith > Simpson > Wright
1 × Wright > Montroll > Kiss > Simpson
1 × Smith > Montroll > Wright > Simpson
1 × Wright > Kiss > Simpson > Montroll
1 × Smith > Kiss > Wright > Simpson
1 × Montroll > Wright > Smith > WriteIn
1 × Smith > Simpson > Montroll > Kiss
1 × WriteIn > Montroll > Kiss > Wright
1 × Montroll > Wright > WriteIn
1 × Wright > Simpson > Montroll
1 × Wright > Simpson > Kiss
1 × WriteIn > Kiss > Montroll
1 × Smith > Simpson > WriteIn
1 × Simpson > Smith > Montroll
1 × Simpson > Smith > Kiss
1 × Simpson > Smith > Wright
1 × Kiss > Simpson > WriteIn
1 × Simpson > Montroll > Smith
1 × Montroll > WriteIn > Simpson
1 × Wright > WriteIn > Montroll
1 × Wright > WriteIn > Simpson
1 × Wright > WriteIn > Kiss
1 × Kiss > WriteIn > Montroll
1 × Kiss > WriteIn > Wright
1 × Simpson > WriteIn
1 × Smith > WriteIn
1 × WriteIn > Smith
Round-Robin — every pair, head-to-head (For – Against):
Kiss beats Wright 4313 – 4059
Montroll beats Wright 4596 – 3663
Wright beats Smith 3970 – 3792
Wright beats Simpson 5269 – 1309
Wright beats WriteIn 6061 – 162
Montroll beats Kiss 4063 – 3476
Kiss beats Smith 3944 – 3574
Kiss beats Simpson 5514 – 843
Kiss beats WriteIn 6147 – 113
Montroll beats Smith 4569 – 2996
Montroll beats Simpson 6261 – 591
Montroll beats WriteIn 6656 – 100
Smith beats Simpson 5568 – 721
Smith beats WriteIn 6055 – 113
Simpson beats WriteIn 3337 – 161
--- Pairwise (Round-Robin) Matrix ---
Head-to-head / pairwise comparison — the Ranked Robin tally
Legend: For - Equal Support - Against (row vs column)
| Wright | Kiss | Montroll | Smith | Simpson | WriteIn |
---------------------------------------------------------------------------------------------------------------------------------------
Wright > | --- |4059 - 602 - 4313 |3663 - 715 - 4596 |3970 - 1212 - 3792 |5269 - 2396 - 1309 |6061 - 2751 - 162 |
Kiss > | 4313 - 602 - 4059 | --- |3476 - 1435 - 4063 |3944 - 1456 - 3574 |5514 - 2617 - 843 |6147 - 2714 - 113 |
Montroll > | 4596 - 715 - 3663 |4063 - 1435 - 3476 | --- |4569 - 1409 - 2996 |6261 - 2122 - 591 |6656 - 2218 - 100 |
Smith > | 3792 - 1212 - 3970 |3574 - 1456 - 3944 |2996 - 1409 - 4569 | --- |5568 - 2685 - 721 |6055 - 2806 - 113 |
Simpson > | 1309 - 2396 - 5269 | 843 - 2617 - 5514 | 591 - 2122 - 6261 | 721 - 2685 - 5568 | --- |3337 - 5476 - 161 |
WriteIn > | 162 - 2751 - 6061 | 113 - 2714 - 6147 | 100 - 2218 - 6656 | 113 - 2806 - 6055 | 161 - 5476 - 3337 | --- |
Win–loss record — Copeland score = wins + ½·ties (highest score wins; ties broken by total margin, then lot order):
# Candidate W–L–T Copeland Margin Beats
1 Montroll 5–0–0 5 +15319 Kiss, Wright, Smith, Simpson, WriteIn
2 Kiss 4–1–0 4 +10742 Wright, Smith, Simpson, WriteIn
3 Wright 3–2–0 3 +8850 Smith, Simpson, WriteIn
4 Smith 2–3–0 2 +8668 Simpson, WriteIn
5 Simpson 1–4–0 1 -15972 WriteIn
6 WriteIn 0–5–0 0 -27607 —
Winner — Ranked Robin (RCV-RR): Montroll
beats every opponent head-to-head — the Condorcet winner.
Full audit — preference matrix, Condorcet, and score distribution¶
--- Smith Set (the generalized Condorcet winner) ---
The smallest group whose every member beats every candidate outside it —
the honest answer to "who is even in contention?".
Smith set (1 of 6): Montroll
Outside (5): Wright, Kiss, Smith, Simpson, WriteIn
One member ⇒ Montroll is the Condorcet winner, beating every rival head-to-head.
Ranked Robin (RCV-RR) winner Montroll is INSIDE the Smith set. ✓
Guaranteed: Ranked Robin (Copeland) is Smith-efficient — every member of
the set outscores every outsider, so the top of the win–loss table is
always inside the set, however the tie among them is then broken.
More: 07_Concepts/topics/smith_set.md
Everything in one file: the _tabulated mirror (regenerated on every run; every analysis forced on).
Run it yourself:
python STARVote_LH_tabulation_engine/starvote_larry_hastings.py method_comparisons/burlington_2009/cases/burlington_2009_ranked_robin.yaml
See also¶
More cases in this set: burlington_2009_irv · burlington_2009_raise_kiss_nonmono