18XX

Matches: 429

Tracked Players: 176

Rank Name Rating (Ordinal) Mu (Mean) Sigma (Variance)
1 bruce-beard 35.033 50.631 5.199
2 todd-vanderpluym 29.206 47.820 6.204
3 dave-lionett 23.297 40.703 5.802
4 stephen-yu 23.027 43.110 6.694
5 ken-boucher 22.668 37.845 5.059
6 rick-dutton 21.853 40.269 6.139
7 jeremy-vipperman 20.919 39.100 6.060
8 craig-bartell 20.541 39.090 6.183
9 gary-norton 20.055 36.280 5.408
10 peter-eldridge 19.370 36.160 5.597
11 mark-geary 18.207 32.396 4.730
12 joe-grey 17.791 38.112 6.774
13 mike-monical 17.624 31.849 4.742
14 anthony-carver 17.373 33.325 5.317
15 dave-blanchard 16.866 30.524 4.553
16 jeff-heuer 16.564 30.593 4.676
17 daniel-barnes 15.885 37.681 7.265
18 chris-schaffer 15.814 36.740 6.975
19 jeremy-v 15.390 37.903 7.504
20 mark-derrick 14.518 31.776 5.753
21 ron-sapolsky 14.229 35.029 6.933
22 simon-craddock 13.944 32.554 6.203
23 david-hecht 13.641 28.943 5.101
24 aliza-panitz 12.752 31.241 6.163
25 jonathan-work 12.475 29.443 5.656
26 felix-anderson 12.428 32.903 6.825
27 david-lease 12.095 32.193 6.699
28 joe-gray 11.573 29.193 5.873
29 james-robinson 11.330 34.119 7.596
30 david-aber 11.293 33.453 7.386
31 rick-westerman 10.567 28.332 5.922
32 mike-melanson 10.533 32.771 7.413
33 pierre-leboeuf 10.457 26.043 5.195
34 stephen-webb 9.915 28.886 6.324
35 johnathan-flagg 9.814 31.662 7.283
36 ian-wilson 8.801 31.889 7.696
37 tristan-jenkins 8.378 31.568 7.730
38 robert-ford 8.201 30.005 7.268
39 jonathan-anderson 8.136 28.093 6.652
40 joe-gunderson 8.004 30.473 7.490
41 chris-kolenda 7.950 27.544 6.531
42 paul-hakken 7.607 26.982 6.458
43 joe-gundersen 7.529 26.425 6.299
44 jonathan-geruntho 7.310 31.547 8.079
45 ken-gutermuth 7.147 23.790 5.548
46 rich-dutton 7.098 29.118 7.340
47 barrington-beavis 6.552 24.960 6.136
48 jonathan-flagg 6.424 22.641 5.405
49 paul-work 5.784 21.459 5.225
50 cathy-befi 5.743 30.081 8.113
51 david-simmonds 5.642 25.638 6.666
52 mike-williams 5.584 29.840 8.085
53 christopher-rao 5.515 26.446 6.977
54 deniz-bucak 5.459 28.909 7.817
55 matt-campbell 5.418 26.759 7.114
56 christopher-roa 5.186 26.815 7.209
57 jon-draper 5.106 29.774 8.223
58 derek-yeung 5.052 27.662 7.537
59 shirley-dulcey 4.989 29.208 8.073
60 rod-cross 4.811 25.966 7.052
61 andy-mesa 4.547 27.045 7.499
62 steve-yu 4.305 25.714 7.136
63 michael-alexander 4.155 27.376 7.740
64 rick-w 4.012 24.531 6.840
65 alex-sheldon 3.815 22.223 6.136
66 john-tamplin 3.567 20.852 5.762
67 chee-sing-lee 3.529 26.843 7.771
68 jon-kwiatkowski 3.522 23.070 6.516
69 charles-beattie 3.411 22.568 6.386
70 scott-petersen 3.356 26.758 7.800
71 charles-ward 3.349 27.910 8.187
72 player-100 3.175 26.611 7.812
73 name 3.137 27.865 8.242
74 shaz-iqbal 3.133 26.161 7.676
75 kelvin-ho 3.094 27.920 8.275
76 mike-coyne 3.082 20.828 5.915
77 gary-mroczka 3.081 20.750 5.890
78 david-blanchard 3.079 27.865 8.262
79 jim-mcdanold 3.078 20.911 5.944
80 adam-mcdiarmid 2.962 26.665 7.901
81 john-jones 2.925 20.433 5.836
82 david-snyder 2.867 22.298 6.477
83 david-simmons 2.831 23.121 6.763
84 missing 2.828 27.725 8.299
85 lisa 2.683 26.707 8.008
86 jason 2.658 23.144 6.829
87 jeanette-allen 2.519 20.047 5.843
88 joshua-gottesman 2.513 24.862 7.450
89 mike-holcomb 2.460 27.140 8.227
90 mike-brumm 2.414 27.096 8.227
91 elliot-segal 2.240 27.029 8.263
92 barrington-b 2.062 23.459 7.132
93 kate-adams 2.059 26.724 8.222
94 chis-kolenda 2.017 24.113 7.365
95 lynne-lewellen 2.009 26.156 8.049
96 ian-both 2.004 24.224 7.407
97 eric-flood 2.001 23.546 7.182
98 chris-shaffer 2.000 22.203 6.734
99 steve-haugse 1.780 21.901 6.707
100 mike-bennett 1.668 18.119 5.484
101 richard-northey 1.565 26.219 8.218
102 william-barber 1.564 26.023 8.153
103 kevin-karg 1.268 22.463 7.065
104 eric 1.153 23.113 7.320
105 ian-booth 1.150 21.364 6.738
106 craig-cowley 1.025 25.076 8.017
107 myk-deans 0.905 25.120 8.072
108 lane-newbury 0.905 23.373 7.489
109 tim-hardwick 0.816 21.608 6.930
110 andrew-nisbett 0.643 22.537 7.298
111 david-simmon 0.580 24.809 8.076
112 jason-ley 0.505 20.617 6.704
113 tyler-harvey 0.364 18.461 6.032
114 ed-hewlett 0.227 24.447 8.073
115 dean-brandt 0.147 22.516 7.456
116 bill-bold 0.131 23.982 7.950
117 nathan-wagner 0.114 23.367 7.751
118 alan-stancius 0.081 21.614 7.178
119 philihp-busby 0.043 22.494 7.484
120 steve-wambler -0.056 24.175 8.077
121 brian-yeomans -0.157 22.692 7.616
122 karl-foelsche -0.179 22.903 7.694
123 paul-bolduc -0.189 23.091 7.760
124 allen-stancius -0.269 17.680 5.983
125 brain-yeomans -0.371 22.124 7.498
126 shawn-undefined -0.426 23.541 7.989
127 bill-gallagher -0.535 20.540 7.025
128 rich-atwater -0.558 18.131 6.230
129 richard-s -0.623 20.334 6.986
130 christoper-rivera -0.717 22.131 7.616
131 david-synder -0.800 20.680 7.160
132 jackson-cross -0.861 21.296 7.386
133 michael-monical -1.041 18.656 6.566
134 tim-flowers -1.149 17.908 6.352
135 scott -1.191 20.274 7.155
136 dan-hyer -1.235 21.596 7.610
137 mike-shaver -1.243 20.362 7.201
138 russel-decastongrene -1.453 20.593 7.349
139 cameron-cross -1.489 19.186 6.892
140 franklin -1.762 19.314 7.025
141 jonathan-jang -1.787 21.877 7.888
142 kelly-krieble -1.869 21.896 7.922
143 elliott-segal -2.310 20.645 7.652
144 russell-de -2.390 20.760 7.717
145 chris-talbot -2.503 20.043 7.515
146 charlie-beattie -2.562 16.486 6.349
147 don-chinnery -2.810 19.468 7.426
148 brian-wilson -2.848 18.410 7.086
149 aaron -2.998 20.692 7.897
150 greg-clayton -3.266 20.966 8.077
151 johnathan-work -3.298 18.405 7.234
152 keith-williams -3.591 20.535 8.042
153 jose-corsilles -3.777 16.854 6.877
154 dick-northey -3.786 17.910 7.232
155 alex -3.872 17.573 7.148
156 dale-maxwell -3.888 18.052 7.313
157 bill-dixon -3.949 20.216 8.055
158 brian-diggs -3.968 19.766 7.911
159 tom-rodriguez -4.737 17.207 7.315
160 sean-king -5.088 15.364 6.818
161 dale-maxfield -5.104 14.556 6.553
162 john-galt -5.229 16.483 7.237
163 kevin-jaekley -5.609 16.798 7.469
164 jon-flagg -6.056 16.341 7.466
165 sterling-tian -6.256 16.074 7.443
166 allen-sancious -6.405 14.889 7.098
167 ricky-gray -6.816 14.076 6.964
168 scott-ellis -7.222 15.118 7.447
169 steve-hauge -7.361 14.235 7.199
170 william-gallagher -7.894 12.825 6.906
171 doug-walker -8.090 12.314 6.801
172 bryan-johnson -8.313 13.638 7.317
173 janet-beattie -9.868 10.032 6.633
174 phil-bradley -10.228 9.635 6.621
175 chisholm-gentry -10.726 11.791 7.506
176 andrew-nisbet -11.314 6.733 6.015

Untracked Players: 1

Because of the volume of variants in the 18xx series, relative similarity in rules, and low of play, all of these matches are aggregated as one game.

Establishing rules for a ranking system is inherently divisive. Especially in multiplayer games, each player plays with their own motivations in the context of each match played. We assume that, in each match, each player is trying to maximize their score. We cannot know their motivations outside of the context of the match, such as within a tournament. As such, the goal of a rating system cannot be to say one player is better than another unless their motivations are aligned. Rather, the goal of a rating system is to say a future match would be a close one.

We should be careful to say that one player is better than another because of the difference in their rating. Take for example a player A who is only satisfied with 1st place; they could see finishing 50% of the time in 1st and 50% of the time in 5th as better than another player B always finishing 100% of the time in 2nd. This does not make A a bad player, however their rating will be closer to the middle percentile with a high variance, while the player B should have a rating closer to the upper 20th percentile with a low variance. The goal is to have a quantitative metric that predicts A is hard to predict, while B is easier to predict that they will do well.