< September 30, 1986     Back to date list    November 30, 1986 >

Top 10 active players as of October 31, 1986


Top 500 active players as of October 31, 1986

  #  

Player Rating +/- Best? 75%? Age
1 Kasparov, Garry K28255068.6% #223.55
2 Karpov, Anatoly E27794821.7% #435.44
3 Beliavsky, Alexander G2690490.8% #3032.87
4 Ljubojevic, Ljubomir2689490.8% #3135.99
5 Jussupow, Artur M2686500.8% #3226.72
6 Khalifman, Alexander2682530.8% #3620.79
7 Tal, Mikhail2681490.6% #3549.97
8 Portisch, Lajos2679480.4% #3649.57
9 Sokolov, Andrey Y2677500.5% #3823.61
10 Korchnoi, Viktor L2676480.4% #3855.61
11 Psakhis, Lev B2676490.4% #3927.92
12 Tukmakov, Vladimir B2666510.3% #4840.63
13 Hübner, Robert2665490.2% #4737.98
14 Polugaevsky, Lev A2664510.3% #4851.94
15 Bareev, Evgeny2663540.3% #5119.94
16 Timman, Jan H2662480.1% #4934.88
17 Huzman, Alexander2654570.3% #6024.56
18 Malaniuk, Vladimir P2654510.2% #5829.28
19 Spassky, Boris V2650480.1% #6049.75
20 Vaganian, Rafael A2648490.1% #6135.04
21 Andersson, Ulf2648500.1% #6235.34
22 Eingorn, Viacheslav S2646500.1% #6329.93
23 Agzamov, Georgy T2645510.1% #6532.15
24 Ribli, Zoltán2645490.1% #6435.15
25 Gavrikov, Victor N2643500.1% #6729.26
26 Lerner, Konstantin Z264149 #6836.67
27 Nikolic, Predrag2640510.1% #7126.14
28 Vasiukov, Evgeny A2639640.4% #7953.65
29 Short, Nigel D2638480.1% #7121.41
30 Seirawan, Yasser263750 #7226.60
31 Lputian, Smbat G263750 #7228.71
32 Miles, Anthony J263647 #7131.52
33 Dolmatov, Sergey V2630510.1% #8027.70
34 Chernin, Alexander M262850 #8126.65
35 Novikov, Igor A262551 #8524.44
36 Kruppa, Yuri2623560.1% #9022.36
37 Nunn, John D M262149 #8831.52
38 Razuvaev, Yury S262050 #9041.06
39 Chandler, Murray G261950 #9026.57
40 Dorfman, Iosif D261955 #9434.50
41 Ehlvest, Jaan261852 #9424.05
42 Gurevich, Mikhail N261752 #9627.69
43 Torre, Eugenio261653 #9634.98
44 Gulko, Boris F261652 #9639.73
45 Sax, Gyula261550 #9535.37
46 Pintér, József261351 #9832.97
47 Larsen, Bent261252 #10051.66
48 Romanishin, Oleg M261148 #9834.81
49 Salov, Valery B260954 #10522.43
50 Balashov, Yury S260750 #10337.63
51 Dzindzichashvili, Roman Y260758 #11142.49
52 Agdestein, Simen260654 #10819.46
53 Geller, Efim P260551 #10761.66
54 Smagin, Sergey260450 #10728.15
55 Naumkin, Igor2602730.2% #12521.22
56 Makarichev, Sergey Y260155 #11432.95
57 Tseshkovsky, Vitaly V260051 #11342.10
58 Gipslis, Aivars2599690.1% #12649.73
59 Sveshnikov, Evgeny E259950 #11336.72
60 van der Wiel, John T H259849 #11327.23
61 Kavalek, Lubomir259752 #11543.23
62 Smyslov, Vassily V259751 #11665.60
63 Dvoiris, Semen I259755 #11827.99
64 Ubilava, Elizbar E259751 #11636.18
65 Christiansen, Larry M259652 #11730.34
66 Suba, Mihai259650 #11739.41
67 Rashkovsky, Nukhim N259651 #11740.54
68 Sosonko, Gennadi259551 #11743.45
69 Georgiev, Kiril259551 #11820.92
70 Hort, Vlastimil259449 #11742.80
71 Yermolinsky, Alex V259354 #12228.55
72 Dokhoian, Yury259155 #12522.01
73 Zaichik, Gennady L259155 #12429.72
74 Timoshchenko, Gennady258956 #12737.51
75 Adorján, András258850 #12436.58
76 Yurtaev, Leonid258757 #12927.50
77 Kharitonov, Andrey Y258655 #13027.57
78 Azmaiparashvili, Zurab A258551 #12826.62
79 Olafsson, Helgi258452 #12930.21
80 Anand, Viswanathan258458 #13416.89
81 Arkhipov, Sergey258057 #13732.36
82 Parma, Bruno2580720.1% #14744.84
83 Vyzmanavin, Alexey258053 #13526.83
84 Chekhov, Valery A257951 #13530.92
85 Gheorghiu, Florin257951 #13542.57
86 Panno, Oscar R257963 #14351.62
87 Rozentalis, Eduardas257955 #13723.43
88 Panchenko, Alexander N257854 #13933.07
89 Kochiev, Alexander257556 #14130.60
90 Marjanovic, Slavoljub257550 #13831.82
91 Podgaets, Mikhail Y257559 #14439.27
92 Vladimirov, Evgeny Y257462 #14629.78
93 Shneider, Aleksandr257458 #14424.44
94 Kupreichik, Viktor D257350 #14037.33
95 Benjamin, Joel L257352 #14122.64
96 Popovic, Petar257351 #14027.71
97 Yudasin, Leonid G257251 #14127.23
98 Kuzmin, Gennady P257156 #14540.78
99 Mikhalchishin, Adrian B257150 #14231.95
100 Bagirov, Vladimir K257056 #14750.21
101 Nogueiras, Jesus256851 27.29
102 Gligoric, Svetozar256852 63.74
103 Anikaev, Yury256873 38.34
104 Yakovich, Yuri256852 23.92
105 Tarjan, James E256864 34.69
106 Petrosian, Arshak B256753 32.87
107 Neverov, Valery256757 22.36
108 Barua, Dibyendu256660 20.01
109 Chiburdanidze, Maia G256654 25.79
110 Savon, Vladimir A256570 46.10
111 Ftácnik, Lubomír256549 29.00
112 Graf, Alexander256464 24.18
113 Hansen, Curt256450 22.12
114 Kengis, Edvins256255 27.55
115 Quinteros, Miguel A256252 38.84
116 Hulak, Krunoslav256255 35.43
117 Gorelov, Sergey G256157 29.20
118 Pigusov, Evgeny256052 25.58
119 Alburt, Lev O256050 41.19
120 Polovodin, Igor A255875 31.61
121 Cámpora, Daniel H255855 29.34
122 Byrne, Robert E255760 58.53
123 Speelman, Jonathan S255750 30.08
124 Smejkal, Jan255749 40.61
125 Kurajica, Bojan255753 38.95
126 Ivanov, Igor V255659 39.81
127 Smirin, Ilia255366 18.78
128 Zapata, Alonso255351 28.19
129 Karlsson, Lars255251 31.30
130 Ivanchuk, Vassily255256 17.62
131 Knaak, Rainer F255250 33.62
132 Uhlmann, Wolfgang255151 51.59
133 Gufeld, Eduard E255165 50.62
134 Oll, Lembit254852 20.52
135 Gurgenidze, Bukhuti I254857 52.96
136 Dreev, Alexey254859 17.78
137 Guseinov, Aidyn254869 34.83
138 Najdorf, Miguel254870 76.54
139 Pétursson, Margeir254851 26.71
140 Korzubov, Peter254460 24.83
141 Vaisser, Anatoli254452 37.65
142 Henley, Ron W254460 29.90
143 Glek, Igor V254456 24.98
144 Matanovic, Aleksandar254366 56.44
145 Murey, Yakov254254 45.24
146 Osnos, Viacheslav V254268 51.27
147 London, Dimitri254269 23.94
148 Didishko, Vereslav254273 37.56
149 Taimanov, Mark E254158 60.73
150 Kovacevic, Vladimir254154 44.60
151 Lobron, Eric254150 26.48
152 Garcia Palermo, Carlos254051 32.91
153 Vitolinš, Alvis253968 40.38
154 García Gonzáles, Guillermo253951 32.89
155 Faragó, Iván253849 40.58
156 Matulovic, Milan253860 51.39
157 Wedberg, Tom253759 32.92
158 Ekstroem, Roland253774 30.44
159 Vorotnikov, Vladislav V253666 39.20
160 Morovic Fernández, Iván E253657 23.60
161 Ivkov, Borislav253552 52.96
162 Rogers, Ian253550 26.35
163 Arnason, Jon L253451 25.96
164 Kindermann, Stefan253350 26.84
165 Goldin, Alexander253357 21.68
166 Hazai, Laszlo253253 33.38
167 Kuzmin, Alexey253065 23.65
168 Kholmov, Ratmir D253055 61.47
169 Mestel, A Jonathan253053 29.63
170 Liberzon, Vladimir M252875 49.61
171 Reshevsky, Samuel H252765 74.92
172 Velimirovic, Dragoljub252651 44.47
173 Sunye Neto, Jaime252552 29.49
174 Sturua, Zurab252459 27.40
175 Spraggett, Kevin B252452 31.97
176 Bönsch, Uwe252450 28.04
177 Lau, Ralf252352 27.03
178 Palatnik, Semen A252357 36.60
179 Groszpeter, Attila252153 26.39
180 Veingold, Aleksander252066 33.06
181 Epishin, Vladimir251958 21.30
182 Grigorian, Karen A251961 39.15
183 Georgadze, Tamaz V251955 38.97
184 Csom, István251950 46.41
185 Gaprindashvili, Nona251962 45.49
186 deFirmian, Nicholas E251850 29.26
187 Drasko, Milan251754 23.90
188 Rukavina, Josip251654 43.92
189 Inkiov, Ventzislav251550 30.45
190 Fedorowicz, John P251551 28.09
191 Tringov, Georgy P251556 49.65
192 Greenfeld, Alon251453 22.54
193 Ostermeyer, Peter251357 43.05
194 Mokrý, Karel251349 27.73
195 Vogt, Lothar H251251 34.79
196 Ivanov, Alexander V251263 30.50
197 Velikov, Petar251252 35.59
198 Cebalo, Mišo251150 41.73
199 Kaidanov, Gregory S251154 27.05
200 Bischoff, Klaus251055 25.39
201 Kuporosov, Viktor251067 25.10
202 Meduna, Eduard251051 36.14
203 Suetin, Alexey S250973 59.95
204 Buturin, Vladimir250970 42.94
205 Dlugy, Maxim250851 20.76
206 Kraidman, Yair250869 53.99
207 Cherepkov, Alexander V250873 66.00
208 Browne, Walter S250851 37.81
209 Flear, Glenn C250753 27.72
210 Gutman, Lev250751 41.10
211 Yuferov, Sergey N250774 40.91
212 Hodgson, Julian M250752 23.27
213 Gruenfeld, Yehuda250654 30.67
214 Aseev, Konstantin N250654 26.03
215 Hellers, Ferdinand250656 17.76
216 Jansa, Vlastimil250550 43.92
217 Birnboim, Nathan250563 35.92
218 Klovans, Janis250463 51.56
219 Haik, Aldo250452 34.03
220 Barlov, Dragan250252 29.75
221 Unzicker, Wolfgang250158 61.35
222 Olafsson, Fridrik250174 51.76
223 Schneider, Lars Ake250159
224 Cvitan, Ognjen250053 25.06
225 Nikolac, Juraj250065 54.52
226 Podzielny, Karl Heinz250073 32.14
227 Dizdar, Goran249954 27.91
228 Barbero, Gerardo F249957 25.19
229 Fernandez Garcia, Jose Luis249962 32.49
230 Georgiev, Krum249854 28.44
231 Gomez Baillo, Jorge H249863 27.53
232 Ivanovic, Božidar249751 40.19
233 Kovacevic, Vladimir2249768 31.62
234 Vukic, Milan249759 43.20
235 Kogan, Boris249656
236 Simic, Radoslav249661 38.39
237 Wolf, Volker249665 29.15
238 Pekarek, Ales249656 24.87
239 Ghinda, Mihail Viorel249554 37.27
240 Mednis, Edmar J249559 49.61
241 Rodriguez, Amador249552 30.15
242 Hawelko, Marek249455 27.22
243 Lombardy, William J249358 48.91
244 Hecht, Hans-Joachim249362 47.76
245 Gofshtein, Leonid D249367 33.53
246 Legky, Nikolay A249270 31.55
247 Abramovic, Boško249252 35.71
248 Giorgadze, Giorgi249072 22.06
249 Hjartarson, Jóhann249050 23.73
250 Lukacs, Peter249050 36.31
251 Popchev, Milko249055 21.96
252 Lukin, Andrei M249065 38.17
253 Staniszewski, Piotr248956 20.16
254 Kolarov, Atanas S248771 52.66
255 Minic, Dragoljub248772 49.65
256 Kudrin, Sergey248651 27.15
257 Tisdall, Jonathan D248556 28.18
258 Yrjola, Jouni248553 27.02
259 Kurtenkov, Atanas248558 23.24
260 Schussler, Harry248552 29.35
261 Plachetka, Jan248450 41.70
262 Mnatsakanian, Eduard A248461 47.90
263 Pytel, Krzysztof248361 41.46
264 Stohl, Igor248350 22.09
265 Ziatdinov, Raset248365 27.84
266 Moskalenko, Viktor248363 25.91
267 Shamkovich, Leonid A248360 63.41
268 Schmidt, Wlodzimierz248350 43.56
269 Ree, Hans248252 42.13
270 Wirthensohn, Heinz248259 35.49
271 Antunes, Antonio248267 24.73
272 Van der Sterren, Paul248252 30.62
273 Donchev, Dimitar I248152 28.28
274 Tatai, Stefano248054 48.61
275 Lein, Anatoly248053 55.59
276 Vaulin, Alexander248069 29.62
277 Espig, Lutz248055 37.82
278 Klundt, Klaus247967 44.85
279 Wiedenkeller, Michael247954 23.81
280 Klaric, Zlatko247859 30.02
281 Pfleger, Helmut247857 43.23
282 Cifuentes Parada, Roberto247870 28.86
283 Soppe, Guillermo247872 26.12
284 Portisch, Ferenc247757 47.56
285 Ionescu, Constantin247659 28.13
286 Vera, Reynaldo247654 25.81
287 Kirov Ivanov, Nino247553 41.14
288 Raicevic, Momcilo247563
289 Stoica, Valentin247466 36.71
290 Petrienko, Vladimir247467 31.64
291 Rajkovic, Dusan247362 44.37
292 Barbulescu, Dan247357 22.36
293 Ornstein, Axel247356 34.52
294 Seret, Jean Luc247264
295 Sahovic, Dragutin247258 46.23
296 Lechtynsky, Jiri247251 38.93
297 Nikolic, Zivoslav247256 32.88
298 Popov, Luben247166 50.76
299 Watson, William N247052 24.54
300 Petrushin, Alexander I247064 39.64
301 Rivas Pastor, Manuel246955 26.30
302 Spassov, Liuben246854 43.61
303 Li Zunian246859 28.81
304 Sigurjónsson, Gudmundur246754 39.10
305 Ermenkov, Evgenij246652 37.09
306 Hebden, Mark246655 28.71
307 Pachmann, Ludek246672 62.47
308 Szekely, Peter246552 31.73
309 Sharif, Mershad246562 34.30
310 Bielczyk, Jacek246557 33.69
311 Eslon, Jaan246566 34.66
312 Soltis, Andrew E246563 39.42
313 Vokác, Marek246556 27.90
314 Andres Mendez, Miguel246470
315 Thorsteins, Karl246455 22.05
316 Helmers, Knut J246459 29.73
317 Peters, John A246475 35.72
318 Tseitlin, Mikhail S246361 39.37
319 Imanaliev, Taalaibek246363
320 Hermann, Manfred246368 44.17
321 Ernst, Thomas246254 26.20
322 Lanc, Alois246253 38.70
323 Barczay, Laszlo246264 50.69
324 Santo Roman, Marc246262 26.13
325 Zaitsev, Igor A246267 48.43
326 Hartston, William R246175 39.22
327 Prandstetter, Eduard246152 37.88
328 Frias, Victor J246163 30.72
329 Basin, Leonid246062 28.93
330 Horvath, Jozsef246055 22.22
331 Radulov, Ivan246055 47.81
332 Bilek, István245969 54.22
333 Filipovic, Branko245963 29.07
334 Wilder, Michael245958 24.12
335 Bany, Jerzy245956 25.66
336 Efimov, Igor245962 26.12
337 Akesson, Ralf245960 25.73
338 Lanka, Zigurds245967 26.44
339 Braga, Fernando245956 28.31
340 Benko, Pal C245866 58.29
341 Mirkovic, Slobodan245773 28.26
342 Yap, Andronico245755
343 Plaskett, Jim245750 26.62
344 Van Wijgerden, Cornelis245672 36.44
345 Gurevich, Dmitry245653 30.14
346 Ligterink, Gert245656 36.95
347 Renman, Nils Gustaf245560
348 Qi Jingxuan245559 38.97
349 Zagrebelny, Sergey245566
350 Lalev, Dimitar245568 26.79
351 Murshed, Niaz245558 20.47
352 Garcia, Gildardo245559 32.64
353 Knezevic, Milorad245550 49.99
354 Mariotti, Sergio245466 40.22
355 Polgar, Zsuzsa245451 17.53
356 Ardiansyah, Haji245365 34.90
357 Schneider, Attila245257 31.55
358 Loginov, Valery A245261 30.88
359 Shabanov, Yury F245269 48.96
360 Handoko, Edhi245261 26.17
361 Ambroz, Jan245157 32.37
362 Rakic, Tomislav245170 51.96
363 Karner, Hillar245167 51.26
364 Hertneck, Gerald245058 23.12
365 Spiridonov, Nikola245054 48.67
366 King, Daniel J245054 23.17
367 Shvidler, Eliahu245063 26.86
368 Lalic, Bogdan244963 22.65
369 Filipowicz, Andrzej244966 48.47
370 Bukal, Vladimir Sr244960 46.99
371 Piket, Jeroen244859 17.76
372 Velickovic, Sasa244869 35.58
373 Tischbierek, Raj244851 24.10
374 Gruenenwald, Joerg244669 21.41
375 Kolev, Atanas244664 19.29
376 Adianto, Utut244663 21.62
377 Kouatly, Bachar244652 28.66
378 Řgaard, Leif244661 34.82
379 Raicevic, Vladimir244558 37.49
380 Heinbuch, Detlef244560 25.81
381 Womacka, Mathias244465 20.35
382 Orlov, Georgi244469
383 Ricardi, Pablo244355 24.68
384 Sanna, Gianlazzaro244264 26.55
385 Lazic, Miroljub244273 20.34
386 Veinger, Itzhak244170 48.32
387 Trepp, Markus244158
388 Pelts, Roman244070 49.64
389 Wockenfuss, Klaus244057 35.17
390 Mascarinas, Rico244072 33.66
391 Gruenberg, Hans Ulrich243953 30.81
392 Nun, Josef243966 53.27
393 Xu Jun243963 24.12
394 Cabrilo, Goran243865 28.33
395 Cramling, Dan243864 27.74
396 Kelecevic, Nedeljko243773 39.64
397 Dobrovolsky, Ladislav243769 35.85
398 Jakobsen, Ole243757 44.03
399 Shtyrenkov, Veniamen243771 28.52
400 Nun, Jiri243661 29.26
401 Bisguier, Arthur B243673 57.06
402 Leow Leslie M243673
403 Sokolov, Ivan243571 18.38
404 Seredenko, Vladimir243572 46.46
405 Akhmilovskaya, Elena243560
406 Kristiansen, Jens243552 34.43
407 McCambridge, Vincent243560 26.65
408 Sideif Sade, Fikret I243569 34.83
409 Casper, Thomas243458 27.62
410 Doncevic, Dario243463 28.80
411 Solozhenkin, Evgeniy243368 20.25
412 Gauglitz, Gernot243361 24.34
413 De Wit, Johannes S243367 22.10
414 Foisor, Ovidiu243357 27.57
415 Zahariev, Zahari243270 25.14
416 Hjorth, Greg243270 23.30
417 Manouck, Thierry243166 29.47
418 Wittmann, Walter243160 38.63
419 Forintos, Gyözö V243157 51.25
420 Vilela, Jose Luis243153 33.62
421 Lengyel, Levente243059 53.38
422 Martinovic, Slobodan243054 41.27
423 Thipsay, Praveen Mahadeo243053 27.22
424 Mortensen, Erling243054 31.57
425 Robatsch, Karl243068 58.05
426 Schulte, Oliver243060 17.86
427 Doda, Zbigniew243074 55.69
428 Khasin, Alexander242963 35.51
429 Kantsler, Boris242964 24.54
430 Ghitescu, Theodor242966 52.77
431 Ochoa de Echaguen, F Javier242871 32.16
432 Klinger, Josef242752 19.40
433 Scheeren, Peter242762 31.25
434 Rigo, Janos242760 38.01
435 Semkov, Semko242659 26.67
436 Garcia Martinez, Silvino242653 42.32
437 Tashkhodzhaev, A.242667
438 Ost Hansen, Jacob242466
439 Szmetan, Jorge242469 36.43
440 Hernandez, Roman242454 36.93
441 Adamski, Jan242354 42.96
442 Schweber, Samuel242266 50.29
443 Kuligowski, Adam242161 30.85
444 Sygulski, Artur242052 26.27
445 Pedersen, Erik242062 28.14
446 Keitlinghaus, Ludger242064 21.27
447 Hug, Werner242057 34.14
448 Valkesalmi, Kimmo241957 25.50
449 Djuric, Stefan241952 31.26
450 Sznapik, Aleksander241952 35.72
451 Trapl, Jindrich241965 44.60
452 Botterill, George Steven241870
453 Borm, Franciscus WM241870
454 Blees, Albert241859 24.18
455 Pliester, Leon241860 32.20
456 Pribyl, Josef241856 39.05
457 Bronstein, Luis241765 40.41
458 Ilic, Zoran241770 23.24
459 Damljanovic, Branko241763 25.37
460 Rubinetti, Jorge A241662 41.58
461 Zaltsman, Vitaly F241560 45.01
462 Toth, Bela241557 43.53
463 Bohm, Hans241561 36.79
464 Karolyi, Tibor Jr241456 24.95
465 Liang Jinrong241475 26.44
466 Kosten, Anthony C241366 28.27
467 Horvath, Tamas241357 35.02
468 Biriescu, Ioan241369 33.01
469 Van Riemsdijk, Herman C241366 38.18
470 Langeweg, Kick241360 49.65
471 Danailov, Silvio241354 25.53
472 Hartoch, Robert G241360
473 Matlak, Marek241361 20.61
474 Cvetkovic, Srdjan241369 40.67
475 Jailjan, M.241374
476 Sisniega, Marcel241261 27.26
477 Saeed, Saeed Ahmed241265
478 Sonntag, Hans Hubert241268
479 Peelen, Piet241158 21.21
480 Miralles, Gilles241156 20.73
481 Serper, Grigory241161 17.13
482 Brueckner, Thomas241063 23.26
483 Buecker, Peter241071
484 Temirbaev, Serik241060
485 Westerinen, Heikki MJ240951 42.51
486 Banas, Jan240952 39.41
487 Blatny, Pavel240954 18.36
488 Karsa, Laszlo240967 31.13
489 Kveinys, Aloyzas240971 24.31
490 Weidemann, Joerg240971 28.60
491 Brinck Claussen, Bjorn240859
492 Lin Ta240866 23.75
493 Dautov, Rustem240772 20.92
494 Reefschlaeger, Helmut240763 42.56
495 Dizdarevic, Emir240656 28.58
496 Tiller, Bjorn240572 27.79
497 Sehner, Norbert240557 26.73
498 Fedder, Steen240574 35.38
499 Martin, Andrew D240462 29.45
500 Prasad, Devaki V240458 24.37

These ratings, calculated as of October 31, 1986, incorporate all games (against rated opponents) played in the time between November 1, 1985 and October 31, 1986, along with the ratings that were already calculated as of October 31, 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 October 31, 1986. This represents the player's estimated strength on November 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 November 1, 1986. The +/- value represents the standard deviation of that estimate; the player's true strength on November 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 November 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 October 31, 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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