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Top 10 active players as of November 30, 1986


Top 500 active players as of November 30, 1986

  #  

Player Rating +/- Best? 75%? Age
1 Kasparov, Garry K28215067.4% #223.63
2 Karpov, Anatoly E27734820.7% #435.52
3 Tal, Mikhail2691491.0% #3050.06
4 Beliavsky, Alexander G2690491.0% #3032.95
5 Jussupow, Artur M2689501.1% #3226.80
6 Sokolov, Andrey Y2687500.9% #3223.69
7 Ljubojevic, Ljubomir2687490.8% #3236.08
8 Portisch, Lajos2685480.7% #3349.65
9 Khalifman, Alexander2681530.8% #3820.87
10 Psakhis, Lev B2678490.5% #3828.00
11 Tukmakov, Vladimir B2666510.3% #4840.71
12 Hübner, Robert2666490.3% #4738.07
13 Timman, Jan H2664480.2% #4834.95
14 Bareev, Evgeny2663530.4% #5220.02
15 Polugaevsky, Lev A2657510.2% #5652.03
16 Agzamov, Georgy T2656520.2% #5732.23
17 Huzman, Alexander2654570.5% #6224.64
18 Korchnoi, Viktor L2653480.1% #5755.69
19 Malaniuk, Vladimir P2653510.2% #5929.36
20 Short, Nigel D2652480.1% #5821.50
21 Spassky, Boris V2650490.1% #6049.83
22 Andersson, Ulf2649500.1% #6235.43
23 Eingorn, Viacheslav S2647490.1% #6330.01
24 Lerner, Konstantin Z2646490.1% #6536.76
25 Gavrikov, Victor N2644500.1% #6729.34
26 Seirawan, Yasser2643500.1% #6726.68
27 Nikolic, Predrag2643510.1% #6926.22
28 Ribli, Zoltán2640490.1% #7035.23
29 Lputian, Smbat G2636500.1% #7428.79
30 Vaganian, Rafael A2636490.1% #7535.12
31 Novikov, Igor A2634510.1% #7724.52
32 Dolmatov, Sergey V2634510.1% #7727.78
33 Chandler, Murray G263449 #7626.65
34 Vasiukov, Evgeny A2633630.3% #8653.73
35 Miles, Anthony J263348 #7631.60
36 Nunn, John D M262949 #8131.60
37 Dorfman, Iosif D2629550.1% #8534.58
38 Gurevich, Mikhail N262752 #8527.77
39 Chernin, Alexander M262750 #8426.73
40 Razuvaev, Yury S261950 #9241.14
41 Romanishin, Oleg M261948 #9134.89
42 Torre, Eugenio2619530.1% #9535.07
43 Sax, Gyula261749 #9335.45
44 Ehlvest, Jaan261552 #9924.13
45 Salov, Valery B261454 #10022.51
46 Larsen, Bent261252 #10051.74
47 Gulko, Boris F261252 #10139.81
48 Agdestein, Simen261053 #10419.54
49 Pintér, József261052 #10233.06
50 Balashov, Yury S260750 #10437.72
51 Geller, Efim P260751 #10661.74
52 Dokhoian, Yury260655 #11022.09
53 Georgiev, Kiril260551 #10821.01
54 Smagin, Sergey260451 #10928.23
55 Ubilava, Elizbar E260151 #11236.26
56 van der Wiel, John T H260049 #11227.31
57 Azmaiparashvili, Zurab A259951 #11526.70
58 Rashkovsky, Nukhim N259951 #11440.62
59 Kharitonov, Andrey Y259956 #11827.65
60 Kruppa, Yuri259856 #11822.44
61 Hort, Vlastimil259849 #11442.88
62 Dvoiris, Semen I259855 #11928.08
63 Dzindzichashvili, Roman Y259859 #12242.57
64 Christiansen, Larry M259751 #11730.43
65 Makarichev, Sergey Y259756 #12033.04
66 Sveshnikov, Evgeny E259750 #11636.80
67 Yermolinsky, Alex V259554 #12128.63
68 Smyslov, Vassily V259451 #12065.68
69 Zaichik, Gennady L259253 #12329.80
70 Gheorghiu, Florin258951 #12542.65
71 Gipslis, Aivars2589690.1% #13749.81
72 Adorján, András258850 #12536.66
73 Tseshkovsky, Vitaly V258851 #12642.18
74 Shneider, Aleksandr258857 #13024.52
75 Kavalek, Lubomir258851 #12743.31
76 Vyzmanavin, Alexey258853 #12826.91
77 Panno, Oscar R258762 #13651.70
78 Timoshchenko, Gennady258756 #13137.59
79 Suba, Mihai258650 #12739.50
80 Sosonko, Gennadi258651 #12843.53
81 Yurtaev, Leonid258558 #13427.58
82 Rozentalis, Eduardas258256 #13523.51
83 Kuzmin, Gennady P258257 #13740.86
84 Yudasin, Leonid G258151 #13327.31
85 Olafsson, Helgi258051 #13430.29
86 Kochiev, Alexander258056 #13930.68
87 Panchenko, Alexander N258054 #13633.15
88 Parma, Bruno2579720.1% #14944.91
89 Chekhov, Valery A257752 #13831.01
90 Popovic, Petar257650 #13827.79
91 Hansen, Curt257650 #13822.20
92 Vladimirov, Evgeny Y257562 #14629.86
93 Cámpora, Daniel H257554 #14129.42
94 Naumkin, Igor2574720.1% #15321.30
95 Mikhalchishin, Adrian B257450 #14032.03
96 Tarjan, James E257466 #15034.77
97 Podgaets, Mikhail Y257360 #14739.35
98 Marjanovic, Slavoljub257250 #14231.90
99 Nogueiras, Jesus257151 #14327.37
100 Chiburdanidze, Maia G257055 #14625.87
101 Arkhipov, Sergey257055 32.44
102 Yakovich, Yuri257052 23.99
103 Anikaev, Yury256973 38.42
104 Kupreichik, Viktor D256951 37.41
105 Hulak, Krunoslav256954 35.51
106 Gligoric, Svetozar256852 63.83
107 Speelman, Jonathan S256850 30.16
108 Barua, Dibyendu256760 20.09
109 Savon, Vladimir A256770 46.18
110 Dreev, Alexey256659 17.86
111 Neverov, Valery256655 22.44
112 Ftácnik, Lubomír256549 29.08
113 Petrosian, Arshak B256453 32.95
114 Gorelov, Sergey G256358 29.28
115 Bagirov, Vladimir K256355 50.29
116 Pigusov, Evgeny256352 25.66
117 Kurajica, Bojan256253 39.04
118 Quinteros, Miguel A256252 38.92
119 Polovodin, Igor A256174 31.69
120 Alburt, Lev O256051 41.27
121 Benjamin, Joel L255951 22.72
122 Kengis, Edvins255955 27.63
123 Byrne, Robert E255960 58.61
124 Uhlmann, Wolfgang255651 51.67
125 Glek, Igor V255657 25.06
126 Anand, Viswanathan255658 16.96
127 Knaak, Rainer F255550 33.70
128 Lobron, Eric255550 26.56
129 Pétursson, Margeir255550 26.79
130 García Gonzáles, Guillermo255451 32.97
131 Smirin, Ilia255466 18.86
132 Smejkal, Jan255449 40.69
133 Ivanchuk, Vassily255356 17.70
134 Gufeld, Eduard E255265 50.70
135 Karlsson, Lars255251 31.38
136 Oll, Lembit255152 20.60
137 Graf, Alexander255164 24.26
138 Ivanov, Igor V255059 39.89
139 Najdorf, Miguel254970 76.62
140 London, Dimitri254768 24.02
141 Murey, Yakov254653 45.33
142 Vorotnikov, Vladislav V254565 39.29
143 Matanovic, Aleksandar254566 56.52
144 Vaisser, Anatoli254452 37.73
145 Zapata, Alonso254451 28.27
146 Taimanov, Mark E254359 60.81
147 Didishko, Vereslav254273 37.64
148 Faragó, Iván254149 40.66
149 Matulovic, Milan254060 51.47
150 Wedberg, Tom254059 33.01
151 Kovacevic, Vladimir254055 44.68
152 Ekstroem, Roland254074 30.52
153 Morovic Fernández, Iván E254056 23.68
154 Garcia Palermo, Carlos253950 32.99
155 Magerramov, Elmar S253868 28.64
156 Ivkov, Borislav253652 53.05
157 Kholmov, Ratmir D253656 61.55
158 Guseinov, Aidyn253661 34.91
159 Osnos, Viacheslav V253667 51.35
160 Rogers, Ian253650 26.43
161 Goldin, Alexander253557 21.76
162 Arnason, Jon L253451 26.05
163 Henley, Ron W253461 29.98
164 Hazai, Laszlo253453 33.46
165 Korzubov, Peter253360 24.91
166 Kindermann, Stefan253250 26.92
167 Vitolinš, Alvis253168 40.46
168 Fedorowicz, John P253050 28.18
169 Reshevsky, Samuel H252965 75.01
170 Bönsch, Uwe252950 28.12
171 Sturua, Zurab252862 27.48
172 Liberzon, Vladimir M252876 49.69
173 Mestel, A Jonathan252853 29.71
174 Sunye Neto, Jaime252752 29.58
175 Lau, Ralf252752 27.11
176 Kaidanov, Gregory S252653 27.13
177 Palatnik, Semen A252457 36.68
178 Cvitan, Ognjen252452 25.14
179 Kantsler, Boris252360 24.62
180 Veingold, Aleksander252365 33.14
181 Groszpeter, Attila252353 26.47
182 Epishin, Vladimir252258 21.38
183 Gaprindashvili, Nona252062 45.57
184 Grigorian, Karen A252061 39.23
185 Velimirovic, Dragoljub251851 44.55
186 Tringov, Georgy P251756 49.73
187 Rukavina, Josip251754 44.00
188 Inkiov, Ventzislav251650 30.53
189 Vogt, Lothar H251652 34.87
190 Birnboim, Nathan251659 36.01
191 Dlugy, Maxim251551 20.84
192 Csom, István251550 46.49
193 Ivanov, Alexander V251463 30.58
194 Kuporosov, Viktor251367 25.18
195 Velikov, Petar251353 35.67
196 deFirmian, Nicholas E251349 29.34
197 Drasko, Milan251354 23.98
198 Cifuentes Parada, Roberto251263 28.94
199 Browne, Walter S251252 37.89
200 Cherepkov, Alexander V251273 66.08
201 Suetin, Alexey S251273 60.04
202 Georgadze, Tamaz V251156 39.06
203 Buturin, Vladimir251170 43.03
204 Hjartarson, Jóhann251150 23.81
205 Greenfeld, Alon251154 22.62
206 Ostermeyer, Peter251157 43.13
207 Aseev, Konstantin N251154 26.11
208 Spraggett, Kevin B251051 32.05
209 Georgiev, Krum251053 28.52
210 Kuzmin, Alexey251065 23.73
211 Barlov, Dragan250951 29.83
212 Yuferov, Sergey N250874 40.98
213 Hodgson, Julian M250852 23.35
214 Mokrý, Karel250749 27.81
215 Meduna, Eduard250751 36.22
216 Adianto, Utut250761 21.70
217 Gruenfeld, Yehuda250653 30.76
218 Schneider, Lars Ake250659
219 Klovans, Janis250663 51.64
220 Flear, Glenn C250652 27.80
221 Hellers, Ferdinand250656 17.84
222 Gutman, Lev250552 41.18
223 Dizdar, Goran250456 27.98
224 Cebalo, Mišo250450 41.82
225 Legky, Nikolay A250470 31.63
226 Olafsson, Fridrik250374 51.84
227 Bischoff, Klaus250354 25.47
228 Gomez Baillo, Jorge H250365 27.61
229 Unzicker, Wolfgang250258 61.43
230 Jansa, Vlastimil250250 44.01
231 Podzielny, Karl Heinz250272 32.22
232 Haik, Aldo250152 34.11
233 Nikolac, Juraj250165 54.61
234 Rodriguez, Amador250052 30.23
235 Ivanovic, Božidar249751 40.27
236 Kovacevic, Vladimir2249768 31.70
237 Vukic, Milan249759 43.28
238 Kogan, Boris249756
239 Lukin, Andrei M249764 38.26
240 Wolf, Volker249665 29.23
241 Mednis, Edmar J249559 49.69
242 Gofshtein, Leonid D249567 33.61
243 Simic, Radoslav249460 38.47
244 Petrienko, Vladimir249467 31.72
245 Lombardy, William J249458 48.98
246 Moskalenko, Viktor249462 25.98
247 Van der Sterren, Paul249452 30.70
248 Abramovic, Boško249252 35.79
249 Popchev, Milko249255 22.05
250 Reyes, Juan249173 23.59
251 Ghinda, Mihail Viorel249154 37.35
252 Lukacs, Peter249150 36.39
253 Staniszewski, Piotr249156 20.24
254 Gurgenidze, Bukhuti I249155 53.05
255 Giorgadze, Giorgi248872 22.14
256 Pytel, Krzysztof248861 41.54
257 Klaric, Zlatko248858 30.10
258 Mnatsakanian, Eduard A248861 47.98
259 Minic, Dragoljub248772 49.73
260 Schussler, Harry248752 29.43
261 Kurtenkov, Atanas248758 23.33
262 Kudrin, Sergey248751 27.23
263 Barbero, Gerardo F248757 25.27
264 Tisdall, Jonathan D248656 28.26
265 Kolarov, Atanas S248671 52.74
266 Fernandez Garcia, Jose Luis248659 32.57
267 Hawelko, Marek248554 27.30
268 Hecht, Hans-Joachim248566 47.84
269 Shamkovich, Leonid A248560 63.50
270 Ree, Hans248452 42.21
271 Stohl, Igor248451 22.18
272 Schmidt, Wlodzimierz248450 43.64
273 Gurevich, Dmitry248452 30.22
274 Ziatdinov, Raset248465 27.92
275 Vera, Reynaldo248354 25.90
276 Donchev, Dimitar I248352 28.36
277 Pfleger, Helmut248359 43.32
278 Kirov Ivanov, Nino248253 41.22
279 Petrushin, Alexander I248264 39.72
280 Veinger, Itzhak248161 48.40
281 Yrjola, Jouni248153 27.10
282 Plachetka, Jan248051 41.78
283 Espig, Lutz248056 37.90
284 Lein, Anatoly248053 55.67
285 Klundt, Klaus248067 44.92
286 Wiedenkeller, Michael248054 23.89
287 Vaulin, Alexander248069 29.70
288 Portisch, Ferenc247857 47.64
289 Soppe, Guillermo247874 26.20
290 Wirthensohn, Heinz247858 35.57
291 Santo Roman, Marc247763 26.21
292 Lechtynsky, Jiri247651 39.01
293 Ornstein, Axel247656 34.60
294 Raicevic, Momcilo247663
295 Rajkovic, Dusan247462 44.45
296 Lanka, Zigurds247367 26.52
297 Nikolic, Zivoslav247356 32.96
298 Dautov, Rustem247366 21.01
299 Watson, William N247152 24.62
300 Popov, Luben247166 50.84
301 Ionescu, Constantin247157 28.22
302 Sahovic, Dragutin247158 46.31
303 Spassov, Liuben246954 43.69
304 Vokác, Marek246958 27.98
305 Sigurjónsson, Gudmundur246954 39.18
306 Tatai, Stefano246954 48.69
307 Helmers, Knut J246960 29.81
308 Barbulescu, Dan246857 22.44
309 Rivas Pastor, Manuel246855 26.38
310 Szekely, Peter246753 31.81
311 Hebden, Mark246755 28.79
312 Frias, Victor J246765 30.80
313 Bielczyk, Jacek246757 33.77
314 Pachmann, Ludek246772 62.55
315 Ermenkov, Evgenij246653 37.17
316 Thorsteins, Karl246655 22.13
317 Ernst, Thomas246555 26.29
318 Eslon, Jaan246566 34.74
319 Peters, John A246575 35.80
320 Andres Mendez, Miguel246570
321 Tseitlin, Mikhail S246561 39.45
322 Soltis, Andrew E246463 39.51
323 Hermann, Manfred246468 44.25
324 Zaitsev, Igor A246467 48.51
325 Barczay, Laszlo246464 50.77
326 Plaskett, Jim246450 26.70
327 Lanc, Alois246353 38.78
328 Prandstetter, Eduard246353 37.95
329 Horvath, Jozsef246355 22.30
330 Basin, Leonid246362 29.02
331 Murshed, Niaz246259 20.55
332 Hartston, William R246275 39.30
333 Imanaliev, Taalaibek246269
334 Seret, Jean Luc246169
335 Bilek, István246169 54.30
336 Bany, Jerzy246156 25.74
337 Wilder, Michael246158 24.20
338 Antunes, Antonio246065 24.82
339 Filipovic, Branko246063 29.15
340 King, Daniel J246053 23.26
341 Efimov, Igor246062 26.20
342 Benko, Pal C245966 58.37
343 Mirkovic, Slobodan245873 28.34
344 Zagrebelny, Sergey245866
345 Radulov, Ivan245755 47.90
346 Van Wijgerden, Cornelis245772 36.52
347 Ligterink, Gert245756 37.04
348 Renman, Nils Gustaf245660
349 Stoica, Valentin245668 36.79
350 Ambroz, Jan245660 32.45
351 Lalev, Dimitar245568 26.87
352 Yap, Andronico245455
353 Shabanov, Yury F245469 49.05
354 Pekarek, Ales245454 24.95
355 Ardiansyah, Haji245463 34.98
356 Akesson, Ralf245360 25.81
357 Sharif, Mershad245362 34.38
358 Polgar, Zsuzsa245251 17.61
359 Hertneck, Gerald245258 23.20
360 Filipowicz, Andrzej245266 48.55
361 Lalic, Bogdan245263 22.73
362 Karner, Hillar245267 51.34
363 Rakic, Tomislav245270 52.05
364 Knezevic, Milorad245251 50.08
365 Bukal, Vladimir Sr245260 47.08
366 Spiridonov, Nikola245154 48.76
367 Kouatly, Bachar245152 28.74
368 Xu Jun245164 24.20
369 Schneider, Attila245157 31.63
370 Ricardi, Pablo245155 24.76
371 Piket, Jeroen245059 17.84
372 Tischbierek, Raj245051 24.18
373 Handoko, Edhi245061 26.26
374 Loginov, Valery A244961 30.96
375 Velickovic, Sasa244969 35.66
376 Qi Jingxuan244963 39.06
377 Shvidler, Eliahu244863 26.94
378 Řgaard, Leif244862 34.90
379 Jakobsen, Ole244858 44.11
380 Kristiansen, Jens244853 34.51
381 Klinger, Josef244752 19.48
382 Braga, Fernando244756 28.39
383 Kolev, Atanas244764 19.37
384 Orlov, Georgi244769
385 Kraidman, Yair244661 54.08
386 Gruenenwald, Joerg244669 21.49
387 Li Zunian244659 28.89
388 Womacka, Mathias244565 20.43
389 Hjorth, Greg244567 23.38
390 Sideif Sade, Fikret I244562 34.91
391 Raicevic, Vladimir244458 37.58
392 Lazic, Miroljub244373 20.42
393 Manouck, Thierry244266 29.55
394 Trepp, Markus244258
395 Gruenberg, Hans Ulrich244153 30.89
396 Wockenfuss, Klaus244057 35.25
397 Shtyrenkov, Veniamen244071 28.60
398 Nun, Jiri243961 29.34
399 Dobrovolsky, Ladislav243969 35.93
400 Pelts, Roman243972 49.72
401 Mariotti, Sergio243964 40.30
402 Kelecevic, Nedeljko243873 39.72
403 Bisguier, Arthur B243773 57.14
404 Nun, Josef243768 53.36
405 Seredenko, Vladimir243772 46.54
406 Heinbuch, Detlef243759 25.89
407 Sokolov, Ivan243671 18.46
408 McCambridge, Vincent243660 26.73
409 Thipsay, Praveen Mahadeo243655 27.30
410 Rodriguez, Ruben243572 39.97
411 Casper, Thomas243558 27.70
412 Solozhenkin, Evgeniy243568 20.33
413 Doncevic, Dario243563 28.88
414 De Wit, Johannes S243567 22.18
415 Akhmilovskaya, Elena243460
416 Foisor, Ovidiu243454 27.65
417 Martinovic, Slobodan243354 41.35
418 Forintos, Gyözö V243257 51.33
419 Khasin, Alexander243263 35.59
420 Wittmann, Walter243258 38.71
421 Zahariev, Zahari243270 25.22
422 Lengyel, Levente243259 53.46
423 Doda, Zbigniew243274 55.77
424 Cramling, Dan243163 27.82
425 Gauglitz, Gernot243163 24.42
426 Illescas Cordoba, Miguel243068 20.98
427 Schulte, Oliver243060 17.94
428 Robatsch, Karl242968 58.13
429 Sznapik, Aleksander242951 35.80
430 Tashkhodzhaev, A.242967
431 Rigo, Janos242860 38.09
432 Cabrilo, Goran242864 28.41
433 Garcia Martinez, Silvino242853 42.40
434 Ochoa de Echaguen, F Javier242864 32.24
435 Semkov, Semko242859 26.75
436 Mortensen, Erling242755 31.65
437 Scheeren, Peter242763 31.33
438 Ost Hansen, Jacob242766
439 Szmetan, Jorge242669 36.51
440 Atalik, Suat242473 22.14
441 Sanna, Gianlazzaro242465 26.63
442 Hernandez, Roman242455 37.02
443 Adamski, Jan242454 43.05
444 Ghitescu, Theodor242370 52.85
445 Kuligowski, Adam242261 30.93
446 Schweber, Samuel242267 50.37
447 Vallifuoco, Giacomo242270 29.57
448 Valkesalmi, Kimmo242156 25.58
449 Garcia, Gildardo242159 32.72
450 Pedersen, Erik242162 28.22
451 Horvath, Tamas242057 35.10
452 Milos, Gilberto242056 23.08
453 Vilela, Jose Luis242054 33.70
454 Trapl, Jindrich242065 44.68
455 Botterill, George Steven242070
456 Kallai, Gabor242059 27.77
457 Keitlinghaus, Ludger242064 21.35
458 Djuric, Stefan241952 31.34
459 Borm, Franciscus WM241970
460 Bronstein, Luis241965 40.49
461 Pliester, Leon241960 32.28
462 Pribyl, Josef241956 39.13
463 Toth, Bela241857 43.61
464 Blees, Albert241859 24.26
465 Karolyi, Tibor Jr241854 25.04
466 Sygulski, Artur241852 26.36
467 Matlak, Marek241761 20.69
468 Rubinetti, Jorge A241764 41.66
469 Miralles, Gilles241755 20.81
470 Ilic, Zoran241670 23.33
471 Bohm, Hans241661 36.87
472 Zaltsman, Vitaly F241660 45.09
473 Biriescu, Ioan241569 33.09
474 Jailjan, M.241574
475 Hug, Werner241460 34.22
476 Peelen, Piet241458 21.29
477 Hartoch, Robert G241460
478 Danailov, Silvio241454 25.61
479 Sisniega, Marcel241461 27.34
480 Sonntag, Hans Hubert241368
481 Saeed, Saeed Ahmed241367
482 Kosten, Anthony C241366 28.35
483 Cvetkovic, Srdjan241372 40.76
484 Langeweg, Kick241260 49.73
485 Blatny, Pavel241254 18.44
486 Serper, Grigory241261 17.21
487 Brueckner, Thomas241263 23.34
488 Buecker, Peter241171
489 Kveinys, Aloyzas241171 24.39
490 Van Riemsdijk, Herman C241168 38.26
491 Temirbaev, Serik241160
492 Karsa, Laszlo241067 31.22
493 Weidemann, Joerg241071 28.68
494 Reefschlaeger, Helmut240963 42.64
495 Khenkin, Igor240876 18.69
496 Dizdarevic, Emir240856 28.66
497 Banas, Jan240852 39.49
498 Skembris, Spyridon240862 28.77
499 Tiller, Bjorn240672 27.87
500 Sehner, Norbert240657 26.82

These ratings, calculated as of November 30, 1986, incorporate all games (against rated opponents) played in the time between December 1, 1985 and November 30, 1986, along with the ratings that were already calculated as of November 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 November 30, 1986. This represents the player's estimated strength on December 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 December 1, 1986. The +/- value represents the standard deviation of that estimate; the player's true strength on December 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 December 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 November 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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