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Top 10 active players as of September 30, 1986


Top 500 active players as of September 30, 1986

  #  

Player Rating +/- Best? 75%? Age
1 Kasparov, Garry K28275066.3% #223.46
2 Karpov, Anatoly E27874925.3% #335.35
3 Korchnoi, Viktor L2688480.6% #3155.52
4 Jussupow, Artur M2687500.7% #3226.63
5 Tal, Mikhail2686490.6% #3249.89
6 Khalifman, Alexander2686530.9% #3420.70
7 Ljubojevic, Ljubomir2683490.5% #3435.91
8 Sokolov, Andrey Y2681500.5% #3623.53
9 Beliavsky, Alexander G2680490.5% #3732.79
10 Portisch, Lajos2674480.3% #4049.49
11 Psakhis, Lev B2673490.3% #4227.84
12 Hübner, Robert2671500.3% #4337.90
13 Polugaevsky, Lev A2665510.3% #4851.86
14 Timman, Jan H2662480.2% #4934.79
15 Vaganian, Rafael A2658490.1% #5334.95
16 Lerner, Konstantin Z2655500.1% #5636.59
17 Tukmakov, Vladimir B2653510.1% #5840.54
18 Agzamov, Georgy T2652510.1% #6032.06
19 Andersson, Ulf2649490.1% #6135.26
20 Malaniuk, Vladimir P2648510.1% #6429.19
21 Spassky, Boris V2647480.1% #6349.67
22 Ribli, Zoltán2643490.1% #6735.06
23 Eingorn, Viacheslav S2641500.1% #6929.85
24 Short, Nigel D264148 #6821.33
25 Vasiukov, Evgeny A2640630.3% #7953.57
26 Dolmatov, Sergey V2639510.1% #7327.61
27 Nikolic, Predrag2639510.1% #7226.05
28 Novikov, Igor A263651 #7624.35
29 Nunn, John D M263349 #7731.43
30 Dokhoian, Yury2633560.1% #8221.92
31 Razuvaev, Yury S263250 #7940.96
32 Seirawan, Yasser263150 #7926.52
33 Chernin, Alexander M262950 #8026.56
34 Romanishin, Oleg M262949 #8034.72
35 Lputian, Smbat G262850 #8228.63
36 Miles, Anthony J262848 #8031.44
37 Chandler, Murray G262749 #8326.49
38 Gavrikov, Victor N262251 #9029.17
39 Gurevich, Mikhail N262152 #9127.61
40 Dorfman, Iosif D262055 #9534.41
41 Balashov, Yury S261550 #9637.55
42 Smagin, Sergey261450 #9828.06
43 Pintér, József261351 #9932.89
44 Sax, Gyula261249 #9835.28
45 Gulko, Boris F261251 #10039.64
46 Larsen, Bent261251 #10151.57
47 Ubilava, Elizbar E261151 #10236.09
48 Torre, Eugenio261152 #10334.90
49 Dvoiris, Semen I261154 #10427.91
50 Bareev, Evgeny260754 #10819.86
51 Dzindzichashvili, Roman Y260758 #11142.40
52 Ehlvest, Jaan260754 #10823.95
53 Geller, Efim P260751 #10661.58
54 Agdestein, Simen260554 #10919.37
55 Kruppa, Yuri260561 #11522.27
56 Smyslov, Vassily V260550 #10865.52
57 Tseshkovsky, Vitaly V260450 #10942.01
58 Naumkin, Igor2603730.2% #12521.14
59 Sveshnikov, Evgeny E260350 #10936.63
60 Yudasin, Leonid G260352 #11127.14
61 Salov, Valery B260255 #11522.34
62 Gipslis, Aivars2602690.1% #12449.64
63 Makarichev, Sergey Y260055 #11632.87
64 Vyzmanavin, Alexey260055 #11626.74
65 van der Wiel, John T H259749 #11527.14
66 Suba, Mihai259750 #11639.33
67 Christiansen, Larry M259352 #12130.26
68 Timoshchenko, Gennady259360 #12737.42
69 Sosonko, Gennadi259351 #12043.37
70 Zaichik, Gennady L259254 #12429.63
71 Azmaiparashvili, Zurab A259252 #12226.54
72 Kavalek, Lubomir259152 #12443.14
73 Hort, Vlastimil258949 #12442.72
74 Kharitonov, Andrey Y258955 #12927.49
75 Rozentalis, Eduardas258654 #13023.34
76 Huzman, Alexander258664 #13724.47
77 Yurtaev, Leonid258457 #13327.41
78 Mikhalchishin, Adrian B258351 #13131.87
79 Adorján, András258249 #13236.50
80 Smirin, Ilia258266 #14318.69
81 Panchenko, Alexander N258153 #13432.98
82 Anand, Viswanathan258158 #13816.80
83 Georgiev, Kiril258151 #13320.84
84 Arkhipov, Sergey258057 #13832.27
85 Parma, Bruno258072 #14844.75
86 Darga, Klaus V2579730.1% #14952.60
87 Olafsson, Helgi257952 #13630.12
88 Vladimirov, Evgeny Y257962 #14429.69
89 Gheorghiu, Florin257851 #13642.48
90 Panno, Oscar R257863 #14451.54
91 Popovic, Petar257751 #13827.63
92 Kuzmin, Gennady P257754 #14040.70
93 Eolian, Levon S257669 #15027.04
94 Petrosian, Arshak B257653 #14032.79
95 Rashkovsky, Nukhim N257551 #13940.45
96 Marjanovic, Slavoljub257550 #13931.73
97 Yermolinsky, Alex V257556 #14328.47
98 Smejkal, Jan257549 #13940.52
99 Podgaets, Mikhail Y257556 #14339.19
100 Kochiev, Alexander257456 #14430.51
101 Chekhov, Valery A257351 30.84
102 Tarjan, James E257263 34.61
103 Bagirov, Vladimir K257156 50.12
104 Ftácnik, Lubomír257049 28.91
105 Chiburdanidze, Maia G256854 25.70
106 Barua, Dibyendu256860 19.92
107 Kengis, Edvins256854 27.47
108 Nogueiras, Jesus256750 27.20
109 Anikaev, Yury256772 38.25
110 Benjamin, Joel L256653 22.55
111 Gligoric, Svetozar256652 63.66
112 Gorelov, Sergey G256555 29.12
113 Graf, Alexander256564 24.10
114 Savon, Vladimir A256570 46.01
115 Ivanov, Igor V256458 39.73
116 Hansen, Curt256250 22.03
117 Oll, Lembit256254 20.44
118 Polovodin, Igor A256275 31.52
119 Shneider, Aleksandr256158 24.36
120 Uhlmann, Wolfgang256150 51.50
121 Hulak, Krunoslav256054 35.35
122 Neverov, Valery255857 22.27
123 Quinteros, Miguel A255751 38.76
124 Byrne, Robert E255760 58.44
125 Pigusov, Evgeny255652 25.50
126 Vaisser, Anatoli255651 37.57
127 Alburt, Lev O255651 41.11
128 Speelman, Jonathan S255550 29.99
129 Cámpora, Daniel H255555 29.25
130 Najdorf, Miguel255470 76.46
131 Karlsson, Lars255251 31.22
132 Gufeld, Eduard E255165 50.53
133 Gurgenidze, Bukhuti I255055 52.88
134 Velimirovic, Dragoljub254952 44.38
135 Yakovich, Yuri254952 23.83
136 Dreev, Alexey254859 17.69
137 Zapata, Alonso254751 28.11
138 Knaak, Rainer F254750 33.54
139 Guseinov, Aidyn254769 34.74
140 Kupreichik, Viktor D254650 37.24
141 Kurajica, Bojan254652 38.87
142 Faragó, Iván254649 40.49
143 Korzubov, Peter254560 24.74
144 Henley, Ron W254560 29.82
145 Glek, Igor V254456 24.90
146 Lobron, Eric254450 26.40
147 Osnos, Viacheslav V254468 51.18
148 Garcia Palermo, Carlos254451 32.83
149 Matanovic, Aleksandar254466 56.35
150 Pétursson, Margeir254450 26.62
151 Taimanov, Mark E254358 60.65
152 Vitolinš, Alvis254368 40.29
153 Dueball, Juergen254271 41.50
154 Vorotnikov, Vladislav V254166 39.12
155 Murey, Yakov254154 45.16
156 London, Dimitri254069 23.86
157 García Gonzáles, Guillermo253951 32.81
158 Ekstroem, Roland253874 30.36
159 Arnason, Jon L253751 25.88
160 Kholmov, Ratmir D253753 61.38
161 Wedberg, Tom253759 32.84
162 Matulovic, Milan253559 51.30
163 Ivkov, Borislav253452 52.88
164 Kindermann, Stefan253350 26.76
165 Hazai, Laszlo253253 33.29
166 Rogers, Ian253250 26.27
167 Palatnik, Semen A253157 36.51
168 Didishko, Vereslav253074 37.47
169 Kuzmin, Alexey252965 23.56
170 Mestel, A Jonathan252953 29.55
171 Liberzon, Vladimir M252975 49.52
172 Kovacevic, Vladimir252953 44.51
173 Browne, Walter S252852 37.72
174 Reshevsky, Samuel H252665 74.84
175 deFirmian, Nicholas E252650 29.18
176 Spraggett, Kevin B252551 31.89
177 Csom, István252550 46.33
178 Yuferov, Sergey N252276 40.82
179 Goldin, Alexander252261 21.59
180 Bischoff, Klaus252254 25.31
181 Bönsch, Uwe252250 27.95
182 Sturua, Zurab252160 27.31
183 Georgadze, Tamaz V252155 38.89
184 Gaprindashvili, Nona252062 45.41
185 Sunye Neto, Jaime252052 29.41
186 Grigorian, Karen A252061 39.06
187 Groszpeter, Attila252052 26.31
188 Ivanov, Alexander V252059 30.41
189 Dlugy, Maxim251952 20.67
190 Velikov, Petar251953 35.50
191 Drasko, Milan251954 23.81
192 Cherepkov, Alexander V251975 65.91
193 Epishin, Vladimir251858 21.22
194 Fedorowicz, John P251751 28.01
195 Kogan, Boris251659
196 Mokrý, Karel251549 27.65
197 Lau, Ralf251453 26.94
198 Cebalo, Mišo251450 41.65
199 Tringov, Georgy P251357 49.56
200 Greenfeld, Alon251353 22.45
201 Inkiov, Ventzislav251350 30.36
202 Kuporosov, Viktor251367 25.01
203 Veingold, Aleksander251366 32.96
204 Jansa, Vlastimil251250 43.84
205 Rukavina, Josip251254 43.84
206 Suetin, Alexey S251172 59.87
207 Buturin, Vladimir251070 42.86
208 Meduna, Eduard250951 36.05
209 Vogt, Lothar H250951 34.70
210 Unzicker, Wolfgang250958 61.26
211 Morovic Fernández, Iván E250957 23.52
212 Wolf, Volker250864 29.06
213 Hodgson, Julian M250852 23.18
214 Klovans, Janis250763 51.47
215 Ostermeyer, Peter250757 42.96
216 Kraidman, Yair250769 53.91
217 Birnboim, Nathan250763 35.84
218 Ivanchuk, Vassily250661 17.53
219 Hellers, Ferdinand250656 17.67
220 Haik, Aldo250652 33.94
221 Olafsson, Fridrik250574 51.68
222 Gomez Baillo, Jorge H250564 27.45
223 Pekarek, Ales250456 24.79
224 Basin, Leonid250458 28.85
225 Gruenfeld, Yehuda250454 30.59
226 Barbero, Gerardo F250457 25.11
227 Ivanovic, Božidar250352 40.10
228 Gofshtein, Leonid D250167 33.44
229 Cvitan, Ognjen250153 24.96
230 Dizdar, Goran250054 27.82
231 Barlov, Dragan249952 29.67
232 Ghinda, Mihail Viorel249954 37.18
233 Flear, Glenn C249853 27.63
234 Fernandez Garcia, Jose Luis249861 32.41
235 Simic, Radoslav249861 38.31
236 Rodriguez, Amador249752 30.06
237 Rivas Pastor, Manuel249758 26.21
238 Pytel, Krzysztof249759 41.37
239 Vukic, Milan249659 43.11
240 Kovacevic, Vladimir2249668 31.53
241 Hawelko, Marek249555 27.14
242 Nikolic, Zivoslav249559 32.80
243 Schneider, Lars Ake249558
244 Aseev, Konstantin N249556 25.94
245 Hjartarson, Jóhann249450 23.64
246 Lombardy, William J249358 48.82
247 Mednis, Edmar J249359 49.52
248 Plachetka, Jan249350 41.62
249 Georgiev, Krum249254 28.35
250 Lukacs, Peter249150 36.22
251 Staniszewski, Piotr249156 20.07
252 Legky, Nikolay A249170 31.47
253 Yrjola, Jouni249052 26.93
254 Schussler, Harry249052 29.27
255 Minic, Dragoljub248972 49.57
256 Heinbuch, Detlef248958 25.72
257 Lein, Anatoly248855 55.51
258 Mnatsakanian, Eduard A248859 47.81
259 Kolarov, Atanas S248871 52.58
260 Stohl, Igor248750 22.01
261 Shamkovich, Leonid A248660 63.33
262 Tisdall, Jonathan D248656 28.09
263 Antunes, Antonio248567 24.65
264 Schmidt, Wlodzimierz248450 43.47
265 Soppe, Guillermo248372 26.04
266 Wiedenkeller, Michael248353 23.72
267 Popchev, Milko248257 21.88
268 Moskalenko, Viktor248263 25.82
269 Lukin, Andrei M248265 38.09
270 Kaidanov, Gregory S248158 26.96
271 Donchev, Dimitar I248152 28.19
272 Ziatdinov, Raset248165 27.76
273 Klaric, Zlatko248059 29.93
274 Vaulin, Alexander248069 29.53
275 Van der Sterren, Paul248052 30.54
276 Kudrin, Sergey248051 27.06
277 Ree, Hans247952 42.04
278 Kirov Ivanov, Nino247952 41.06
279 Radulov, Ivan247956 47.73
280 Nikolac, Juraj247866 54.44
281 Tatai, Stefano247854 48.52
282 Portisch, Ferenc247857 47.47
283 Abramovic, Boško247853 35.63
284 Raicevic, Momcilo247863
285 Wirthensohn, Heinz247758 35.40
286 Ionescu, Constantin247759 28.05
287 Vera, Reynaldo247754 25.73
288 Lechtynsky, Jiri247551 38.85
289 Petrushin, Alexander I247564 39.55
290 Podzielny, Karl Heinz247566 32.05
291 Espig, Lutz247556 37.73
292 Kurtenkov, Atanas247458 23.16
293 Barbulescu, Dan247457 22.27
294 Seret, Jean Luc247364
295 Szekely, Peter247352 31.64
296 Petrienko, Vladimir247167 31.56
297 Stoica, Valentin247165 36.62
298 Spassov, Liuben247054 43.52
299 Gutman, Lev247052 41.01
300 Ermenkov, Evgenij247053 37.00
301 Pfleger, Helmut246957 43.15
302 Barczay, Laszlo246965 50.61
303 Sahovic, Dragutin246856 46.14
304 Ornstein, Axel246856 34.43
305 Hecht, Hans-Joachim246860 47.67
306 Cifuentes Parada, Roberto246869 28.77
307 Pachmann, Ludek246872 62.38
308 Popov, Luben246766 50.67
309 Vokác, Marek246756 27.81
310 Ernst, Thomas246755 26.12
311 Giorgadze, Giorgi246774 21.96
312 Imanaliev, Taalaibek246663
313 Hermann, Manfred246664 44.08
314 Soltis, Andrew E246663 39.34
315 Peters, John A246675 35.64
316 Andres Mendez, Miguel246570
317 Yap, Andronico246554
318 Sharif, Mershad246562 34.22
319 Hebden, Mark246555 28.62
320 Prandstetter, Eduard246552 37.79
321 Sigurjónsson, Gudmundur246554 39.01
322 Zaitsev, Igor A246467 48.34
323 Tseitlin, Mikhail S246461 39.29
324 Hartston, William R246475 39.13
325 Santo Roman, Marc246362 26.05
326 Thorsteins, Karl246355 21.96
327 Plaskett, Jim246350 26.53
328 Womacka, Mathias246366 20.26
329 Helmers, Knut J246259 29.65
330 Horvath, Jozsef246153 22.13
331 Eslon, Jaan246166 34.57
332 Bany, Jerzy246156 25.57
333 Bielczyk, Jacek246157 33.60
334 Lanka, Zigurds246067 26.36
335 Benko, Pal C246066 58.21
336 Mirkovic, Slobodan246073 28.17
337 Filipovic, Branko246063 28.98
338 Lanc, Alois246055 38.62
339 Bilek, István246069 54.13
340 Knezevic, Milorad245851 49.91
341 Renman, Nils Gustaf245859
342 Braga, Fernando245856 28.22
343 Lalev, Dimitar245868 26.70
344 Akesson, Ralf245860 25.64
345 Adianto, Utut245862 21.54
346 Hjorth, Greg245770 23.21
347 Van Wijgerden, Cornelis245772 36.35
348 Ambroz, Jan245757 32.28
349 Murshed, Niaz245658 20.38
350 Efimov, Igor245663 26.04
351 Ligterink, Gert245656 36.87
352 Shabanov, Yury F245569 48.88
353 Calvo Minguez, Ricardo245573 42.93
354 Polgar, Zsuzsa245551 17.45
355 Handoko, Edhi245461 26.09
356 Ardiansyah, Haji245464 34.82
357 Rajkovic, Dusan245465 44.29
358 Bjelajac, Milan245475 38.54
359 Bastian, Herbert245361 33.80
360 Klundt, Klaus245366 44.76
361 Spiridonov, Nikola245354 48.59
362 Schneider, Attila245357 31.46
363 Řgaard, Leif245361 34.73
364 Frias, Victor J245263 30.64
365 Serper, Grigory245176 17.04
366 Filipowicz, Andrzej245166 48.38
367 Garcia, Gildardo245159 32.56
368 Piket, Jeroen245059 17.67
369 Li Zunian245059 28.73
370 Karner, Hillar245067 51.17
371 Mascarinas, Rico245071 33.58
372 Shvidler, Eliahu245063 26.78
373 Lalic, Bogdan244963 22.56
374 Mariotti, Sergio244966 40.14
375 Kouatly, Bachar244952 28.57
376 Qi Jingxuan244959 38.89
377 Kolev, Atanas244864 19.21
378 Nun, Josef244866 53.19
379 Derikum, Axel244871 32.38
380 Velickovic, Sasa244869 35.49
381 Hertneck, Gerald244857 23.03
382 Gurevich, Dmitry244854 30.05
383 Raicevic, Vladimir244658 37.41
384 Loginov, Valery A244661 30.80
385 Kestler, Hans-Günter244671 46.80
386 Tischbierek, Raj244551 24.02
387 Ricardi, Pablo244555 24.60
388 Pelts, Roman244569 49.55
389 Bukal, Vladimir Sr244460 46.91
390 Cramling, Dan244364 27.65
391 Watson, William N244252 24.45
392 Orlov, Georgi244269
393 Dobrovolsky, Ladislav244267 35.77
394 Cabrilo, Goran244164 28.24
395 Xu Jun244163 24.04
396 Nun, Jiri244061 29.17
397 Klinger, Josef243952 19.31
398 Veinger, Itzhak243970 48.23
399 Shtyrenkov, Veniamen243971 28.44
400 Kelecevic, Nedeljko243873 39.55
401 Zagrebelny, Sergey243866
402 Sanna, Gianlazzaro243864 26.47
403 Foisor, Ovidiu243657 27.48
404 Gruenberg, Hans Ulrich243653 30.72
405 Jakobsen, Ole243657 43.94
406 Bisguier, Arthur B243573 56.97
407 Martinovic, Slobodan243554 41.18
408 Ost Hansen, Jacob243565
409 Seredenko, Vladimir243572 46.37
410 Solozhenkin, Evgeniy243568 20.16
411 Wilder, Michael243468 24.04
412 Doda, Zbigniew243474 55.61
413 Casper, Thomas243458 27.54
414 Zahariev, Zahari243470 25.05
415 Kristiansen, Jens243452 34.35
416 Gauglitz, Gernot243461 24.26
417 Thipsay, Praveen Mahadeo243353 27.13
418 Wittmann, Walter243360 38.55
419 Steinbacher, Matthias243366 35.04
420 Sideif Sade, Fikret I243369 34.74
421 Kantsler, Boris243364 24.45
422 Szmetan, Jorge243369 36.34
423 Forintos, Gyözö V243257 51.17
424 Rigo, Janos243261 37.92
425 Ochoa de Echaguen, F Javier243270 32.07
426 Vilela, Jose Luis243253 33.53
427 Lengyel, Levente243259 53.30
428 De Wit, Johannes S243167 22.01
429 Mortensen, Erling243154 31.48
430 Wockenfuss, Klaus243157 35.09
431 Khasin, Alexander243163 35.42
432 Biriescu, Ioan243169 32.92
433 Ghitescu, Theodor243065 52.68
434 Leow Leslie M242972
435 Semkov, Semko242959 26.59
436 McCambridge, Vincent242858 26.56
437 Scheeren, Peter242862 31.17
438 King, Daniel J242855 23.09
439 Djuric, Stefan242852 31.18
440 Doncevic, Dario242761 28.72
441 Adamski, Jan242753 42.88
442 Schweber, Samuel242766 50.20
443 Garcia Martinez, Silvino242653 42.24
444 Kuligowski, Adam242661 30.77
445 Ilic, Zoran242565 23.16
446 Trapl, Jindrich242465 44.52
447 Toth, Bela242456 43.45
448 Gerusel, Mathias242473 48.65
449 Hernandez, Roman242454 36.85
450 Sygulski, Artur242452 26.19
451 Pribyl, Josef242355 38.96
452 Botterill, George Steven242370
453 Hug, Werner242257 34.05
454 Damljanovic, Branko242163 25.29
455 Bronstein, Luis242164 40.33
456 Damjanovic, Mato242175 59.52
457 Sonntag, Hans Hubert242173
458 Sehner, Norbert242057 26.65
459 Rostalski, Walter242075 33.73
460 Banas, Jan242052 39.32
461 Paulsen, Dirk242063 27.67
462 Tashkhodzhaev, A.242067
463 Gruenenwald, Joerg242069 21.32
464 Trepp, Markus242057
465 Hartmann, Wolfram241964 30.35
466 Borm, Franciscus WM241870
467 Sznapik, Aleksander241851 35.64
468 Pliester, Leon241860 32.11
469 Manouck, Thierry241867 29.38
470 Tiller, Bjorn241872 27.70
471 Blees, Albert241759 24.10
472 Rubinetti, Jorge A241762 41.50
473 Pedersen, Erik241662 28.05
474 Gruen, Peter241659 29.71
475 Cvetkovic, Srdjan241569 40.59
476 Bohm, Hans241561 36.71
477 Blatny, Pavel241454 18.27
478 Matlak, Marek241461 20.52
479 Robatsch, Karl241463 57.95
480 Djukic, Zeljko241471 27.30
481 Fedder, Steen241469 35.29
482 Karolyi, Tibor Jr241456 24.87
483 Sisniega, Marcel241360 27.17
484 Valkesalmi, Kimmo241357 25.41
485 Langeweg, Kick241360 49.56
486 Hartoch, Robert G241360
487 Van Riemsdijk, Herman C241366 38.09
488 Jailjan, M.241374
489 Peelen, Piet241358 21.13
490 Saeed, Saeed Ahmed241365
491 Kosten, Anthony C241266 28.18
492 Seppeur, Reinhold241263 31.13
493 Spacek, Petr241273 32.59
494 Heidrich, Manfred241264 29.84
495 Krnic, Zdenko241270 38.99
496 Dizdarevic, Emir241159 28.49
497 Zaltsman, Vitaly F241160 44.92
498 Danailov, Silvio241054 25.44
499 Karsa, Laszlo241067 31.05
500 Horvath, Tamas240957 34.93

These ratings, calculated as of September 30, 1986, incorporate all games (against rated opponents) played in the time between October 1, 1985 and September 30, 1986, along with the ratings that were already calculated as of September 30, 1985. Players who have played an insufficient number of games in recent years will not appear on the list, even though you may see them on previous and/or subsequent lists. Any players who have been completely inactive for three years are removed from the list.

Definition of columns in the above list:

# refers to the player's world rank on this list.

Player is the full name of the player. Click on the player's name to see a career progression of the player's ratings.

Rating is the calculated rating for the player, as of September 30, 1986. This represents the player's estimated strength on October 1, 1986.

+/- is the standard deviation of the player's rating estimate. It is based on a geometric average of the number of rated games played in past years. Players who play very frequently will have a smaller +/- value, indicating a greater confidence in the accuracy of their rating. Players whose +/- value exceeds 76 are classified as "inactive" and removed from the ranking list due to their infrequent play against rated opponents. Mathematically, a player's rating is an estimate of their exact strength on October 1, 1986. The +/- value represents the standard deviation of that estimate; the player's true strength on October 1, 1986 should be within one standard deviation of their calculated rating approximately 68% of the time, and within two standard deviations of their calculated rating approximately 95% of the time.

Best? is the estimated likelihood that the player was actually the strongest player in the world on October 1, 1986. Since ratings are known to be inaccurate, it is possible that a lower-rated player is actually much stronger than their rating would indicate, and it is also possible that other players are weaker than their ratings would indicate. This number indicates the likelihood that the player is indeed the strongest player in the world. On a particular list, it will add up to 100% across the complete list of all players. This value is only calculated for the top 100 players on any rating list.

75%? gives a 75%-confidence world ranking for the player. Because ratings are known to be inaccurate, even if a particular player is rated third in the world, we cannot say with 100% certainty that they are truly one of the three strongest players in the world. This number indicates the world rank that we are 75% sure the player is "no worse than". Thus if a player has a value of #12 in this column, we are 75% sure that the player is one of the twelve strongest players in the world. This value is only calculated for the top 100 players on any rating list.

Age is the player's exact age in years, on September 30, 1986. If a player's age is displayed as a link, that means that this rating was active at the time of their next birthday. Click on the link to see the sorted list of all players' ratings on their birthdays when turning that same age.

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