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Top 10 active players as of September 30, 1981


Top 500 active players as of September 30, 1981

  #  

Player Rating +/- Best? 75%? Age
1 Karpov, Anatoly E27734940.0% #430.35
2 Korchnoi, Viktor L27484919.4% #750.52
3 Kasparov, Garry K27395115.6% #918.46
4 Timman, Jan H2705473.9% #1729.79
5 Tal, Mikhail2694492.8% #2244.89
6 Portisch, Lajos2689492.4% #2444.49
7 Polugaevsky, Lev A2683501.8% #2746.86
8 Hübner, Robert2683501.8% #2732.90
9 Spassky, Boris V2669511.0% #3444.67
10 Beliavsky, Alexander G2666490.8% #3527.79
11 Romanishin, Oleg M2666490.8% #3529.72
12 Andersson, Ulf2664480.7% #3630.26
13 Larsen, Bent2662480.6% #3746.57
14 Gulko, Boris F2660571.3% #4234.64
15 Petrosian, Tigran V2659500.5% #4052.29
16 Tseshkovsky, Vitaly V2655490.4% #4237.01
17 Psakhis, Lev B2653520.6% #4422.84
18 Ribli, Zoltán2653500.5% #4430.06
19 Dolmatov, Sergey V2651530.6% #4622.61
20 Balashov, Yury S2650490.3% #4532.55
21 Sosonko, Gennadi2641500.2% #5238.37
22 Hort, Vlastimil2640480.2% #5137.72
23 Smyslov, Vassily V2637520.2% #5560.52
24 Vaganian, Rafael A2629500.1% #6129.95
25 Ljubojevic, Ljubomir2629490.1% #6030.91
26 Kavalek, Lubomir2627490.1% #6238.14
27 Sveshnikov, Evgeny E2627520.1% #6331.63
28 Bronstein, David I2625540.2% #6657.61
29 Mikhalchishin, Adrian B2623550.2% #6826.87
30 Geller, Efim P2623510.1% #6656.58
31 Jussupow, Artur M2622510.1% #6721.63
32 Gheorghiu, Florin2622500.1% #6637.48
33 Miles, Anthony J2621480.1% #6626.44
34 Kholmov, Ratmir D2618630.4% #7756.38
35 Kuzmin, Gennady P2614510.1% #7335.70
36 Gufeld, Eduard E2614530.1% #7545.53
37 Makarichev, Sergey Y260952 #7827.87
38 Lerner, Konstantin Z2605560.1% #8331.59
39 Kupreichik, Viktor D260452 #8332.24
40 Smejkal, Jan260250 #8435.52
41 Seirawan, Yasser260150 #8421.52
42 Savon, Vladimir A2600570.1% #8941.01
43 Vasiukov, Evgeny A260053 #8748.57
44 Browne, Walter S259949 #8632.72
45 Christiansen, Larry M259850 #8725.26
46 Rashkovsky, Nukhim N259851 #8835.45
47 Parma, Bruno259457 #9539.75
48 Taimanov, Mark E259256 #9655.65
49 Dorfman, Iosif D259254 #9529.41
50 Gipslis, Aivars259255 #9644.64
51 Palatnik, Semen A2591720.3% #10731.51
52 Sax, Gyula259049 #9330.28
53 Dzindzichashvili, Roman Y2589570.1% #9937.40
54 Eingorn, Viacheslav S2587660.1% #10724.85
55 Ivanov, Igor V2586610.1% #10534.73
56 Georgadze, Tamaz V258553 #10133.89
57 Kurajica, Bojan258452 #10133.87
58 Gligoric, Svetozar258452 #10258.66
59 Averbakh, Yury L2583710.2% #11459.64
60 Kochiev, Alexander258258 #10725.51
61 Panchenko, Alexander N258255 #10527.98
62 Razuvaev, Yury S257951 #10535.96
63 Nunn, John D M257750 #10726.43
64 Petrosian, Arshak B257555 #11227.79
65 Vitolinš, Alvis257457 #11535.29
66 Ivkov, Borislav257349 #10947.88
67 Chernin, Alexander M2573680.1% #12221.56
68 Veingold, Aleksander257161 #11927.96
69 Unzicker, Wolfgang256955 #11656.26
70 Szabó, László2569730.1% #12864.53
71 Bagirov, Vladimir K256853 #11645.12
72 Tseitlin, Mikhail S256658 #12334.29
73 Ubilava, Elizbar E2566710.1% #13031.09
74 Evans, Larry M256564 #12649.52
75 Alburt, Lev O256351 #12036.11
76 Uhlmann, Wolfgang256150 #12146.50
77 Ftácnik, Lubomír256150 #12223.91
78 Vyzmanavin, Alexey256165 #13121.74
79 Liberzon, Vladimir M256052 #12344.52
80 Tukmakov, Vladimir B256055 #12535.54
81 Tarjan, James E255954 #12629.61
82 Tringov, Georgy P255956 #12844.56
83 Lein, Anatoly255851 #12550.51
84 Olafsson, Fridrik255656 #13046.68
85 Adorján, András255550 #12831.50
86 Knaak, Rainer F255549 #12728.54
87 Byrne, Robert E255453 #12953.44
88 Kapengut, Albert Z255467 #13937.24
89 Kharitonov, Andrey Y255463 #13622.49
90 Nemet, Ivan255362 #13538.46
91 Najdorf, Miguel255356 #13271.46
92 Kremenetsky, Anatoly M255165 #14042.71
93 Darga, Klaus V255168 #14347.60
94 Panno, Oscar R254954 #13546.54
95 Csom, István254850 #13441.33
96 Pachmann, Ludek254766 #14357.38
97 Quinteros, Miguel A254751 #13533.76
98 Stean, Michael F254752 #13628.07
99 Didishko, Vereslav254664 #14432.47
100 Timoshchenko, Gennady254662 #14432.42
101 Grigorian, Karen A254559 34.06
102 Torre, Eugenio254449 29.90
103 Gurgenidze, Bukhuti I254371 47.88
104 Vogt, Lothar H254249 29.70
105 Matanovic, Aleksandar254062 51.35
106 Lombardy, William J253859 43.82
107 Murey, Yakov253768 40.16
108 Filip, Miroslav253567 52.92
109 Nei, Iivo253461 49.91
110 Kovacevic, Vladimir253363 39.51
111 Simic, Radoslav253256 33.31
112 Bukic, Enver253157 43.83
113 Speelman, Jonathan S253150 24.99
114 Nikolac, Juraj253162 49.44
115 Pfleger, Helmut253160 38.15
116 Faragó, Iván252749 35.49
117 Ivanov, Alexander V252761 25.41
118 Kaplan, Julio P252667 31.18
119 Rogoff, Kenneth S252668 28.52
120 Shamkovich, Leonid A252552 58.33
121 Ree, Hans252349 37.04
122 Yurtaev, Leonid252369 22.41
123 Chekhov, Valery A252253 25.84
124 Lputian, Smbat G252255 23.63
125 Keene, Raymond252152
126 Gorelov, Sergey G252064 24.12
127 Pintér, József252053 27.89
128 Zaitsev, Igor A251858 43.34
129 Vukic, Milan251856 38.11
130 Suetin, Alexey S251753 54.87
131 Velimirovic, Dragoljub251752 39.38
132 Ivanovic, Božidar251754 35.10
133 van der Wiel, John T H251651 22.14
134 Suba, Mihai251655 34.33
135 Cebalo, Mišo251455 36.65
136 Marjanovic, Slavoljub251355 26.73
137 Schmidt, Wlodzimierz251250 38.47
138 Magerramov, Elmar S251058 23.47
139 Shereshevsky, Mikhail I251073 31.44
140 Reshevsky, Samuel H250857 69.84
141 Kakageldyev, Amanmurad250675 31.76
142 Díez del Corral, Jesús250559 48.48
143 Popovic, Petar250553 22.63
144 Espig, Lutz250551 32.73
145 Matulovic, Milan250457 46.30
146 Marovic, Dražen250462 43.71
147 Stoica, Valentin250466 31.62
148 Biyiasas, Peter250356 30.86
149 Agzamov, Georgy T250365 27.06
150 Malich, Burkhard G250256 44.84
151 Anikaev, Yury250264 33.25
152 Bleiman, Yaacov250172 34.06
153 Karner, Hillar250162 46.17
154 Mnatsakanian, Eduard A249964 42.81
155 Klovans, Janis249858 46.47
156 Vera, Reynaldo249863 20.73
157 Zaltsman, Vitaly F249659 39.92
158 Ermenkov, Evgenij249651 32.00
159 Georgiev, Krum249558 23.35
160 Kraidman, Yair249571 48.91
161 Lukacs, Peter249551 31.22
162 Řgaard, Leif249562 29.73
163 Vorotnikov, Vladislav V249476 34.12
164 Jansa, Vlastimil249350 38.84
165 Popov, Luben249253 45.67
166 Plachetka, Jan249250 36.62
167 Thipsay, Praveen Mahadeo249273 22.13
168 Karlsson, Lars249251 26.22
169 Nikolic, Zivoslav249262 27.80
170 Sturua, Zurab249168 22.31
171 Barczay, Laszlo249152 45.61
172 Radulov, Ivan249155 42.73
173 Lechtynsky, Jiri249154 33.85
174 Tatai, Stefano249156 43.52
175 Benko, Pal C249061 53.21
176 Bilek, István249076 49.13
177 Antoshin, Vladimir S248859 52.38
178 Knezevic, Milorad248753 44.91
179 Chandler, Murray G248750 21.49
180 Cámpora, Daniel H248755 24.25
181 Gavrikov, Victor N248765 24.17
182 Ciocaltea, Victor248553 49.70
183 Chiburdanidze, Maia G248554 20.70
184 Vaisser, Anatoli248572 32.57
185 Gruenfeld, Yehuda248454 25.59
186 Regan, Kenneth248373 22.05
187 Lutikov, Anatoly S248266 48.65
188 Burger, Karl248158 48.69
189 Petrushin, Alexander I248161 34.55
190 Birnboim, Nathan248066 30.84
191 Kengis, Edvins247961 22.47
192 Grefe, John A247963 34.06
193 Calvo Minguez, Ricardo247966 37.93
194 Ligterink, Gert247952 31.87
195 Rukavina, Josip247867 38.84
196 Platonov, Igor V247868 47.70
197 Velikov, Petar247855 30.50
198 Robatsch, Karl247661 52.95
199 Mednis, Edmar J247660 44.52
200 Kuligowski, Adam247552 25.77
201 Padevsky, Nikola B247562 48.34
202 Buturin, Vladimir247565 37.86
203 Inkiov, Ventzislav247454 25.36
204 Meduna, Eduard247452 31.05
205 Rogulj, Branko247461 30.16
206 Donner, Johannes H247354 54.23
207 Peters, John A247254 30.64
208 Feustel, Bernd247159 27.03
209 Nikolic, Predrag247056 21.05
210 Rodriguez, Amador246962 25.06
211 Minic, Dragoljub246972 44.57
212 Sigurjónsson, Gudmundur246853 34.01
213 Damjanovic, Mato246867 54.52
214 Vranesic, Zvonko246774 42.98
215 Hartston, William R246657 34.13
216 Hecht, Hans-Joachim246663 42.67
217 Hulak, Krunoslav246661 30.35
218 Sunye Neto, Jaime246652 24.41
219 Wedberg, Tom246555 27.84
220 Diesen, Mark C246568
221 Portisch, Ferenc246557 42.47
222 deFirmian, Nicholas E246555 24.18
223 Szmetan, Jorge246561 31.34
224 Mestel, A Jonathan246452 24.55
225 Bisguier, Arthur B246463 51.97
226 Vokác, Marek246459 22.81
227 Ekstroem, Roland246369 25.36
228 Andrianov, Nikolai246363 19.78
229 Djuric, Stefan246253 26.18
230 Bradford, Joseph M246263 30.91
231 Hazai, Laszlo246252 28.29
232 Mochalov, Evgeny V246269 29.91
233 Ghinda, Mihail Viorel246253 32.18
234 Soltis, Andrew E246166 34.34
235 Rajkovic, Dusan246053 39.29
236 Gaprindashvili, Nona246068 40.41
237 Schweber, Samuel246063 45.20
238 Zaichik, Gennady L246068 24.63
239 Schneider, Lars Ake246054
240 Groszpeter, Attila245953 21.31
241 Van Wijgerden, Cornelis245962 31.35
242 Kirov Ivanov, Nino245851 36.06
243 Bönsch, Uwe245851 22.95
244 Ornstein, Axel245852 29.43
245 Klaric, Zlatko245758 24.93
246 Taulbut, Shaun M245659 23.72
247 Taruffi, Daniele245565 23.07
248 Wittmann, Walter245561 33.55
249 Hernandez, Roman245464 31.85
250 Forintos, Gyözö V245456 46.17
251 Westerinen, Heikki MJ245452 37.42
252 Castro Rojas, Oscar Humberto245361 28.39
253 Podzielny, Karl Heinz245167 27.05
254 Spassov, Liuben245151 38.52
255 Lengyel, Levente245157 48.30
256 Lobron, Eric245154 21.40
257 Myagmarsuren, Lhamsuren245175 43.62
258 Spiridonov, Nikola245053 43.59
259 Hausner, Ivan245056 29.46
260 Piasetski, Leon David244970
261 Makropoulos, Georgios244855 28.01
262 Szekely, Peter244858 26.64
263 Ghitescu, Theodor244859 47.68
264 Kaufman, Larry C244875 33.87
265 Kogan, Boris244761
266 Ungureanu, Emil244775 44.91
267 Henley, Ron W244657 24.82
268 Cramling, Dan244661 22.65
269 Garcia, Raimundo244675 45.34
270 Hamann, Svend244567 40.97
271 García Gonzáles, Guillermo244554 27.81
272 Bjelajac, Milan244568 33.54
273 Azmaiparashvili, Zurab A244573 21.54
274 Kestler, Hans-Günter244563 41.80
275 Lengyel, Laszlo244475 37.22
276 Mariotti, Sergio244457 35.14
277 Kindermann, Stefan244456 21.76
278 Sahovic, Dragutin244359 41.14
279 Gutman, Lev244368 36.01
280 Lederman, Leon244370 34.35
281 Martinovic, Slobodan244354 36.18
282 Raicevic, Vladimir244256 32.41
283 Wockenfuss, Klaus244165 30.09
284 Pribyl, Josef244053 33.96
285 Wirthensohn, Heinz243958 30.40
286 Rodriguez, Ruben243963 34.81
287 Joksic, Sinisa243970 40.96
288 Planinc, Albin243966 37.45
289 Kudrin, Sergey243958 22.06
290 Lakic, Nikola243861 34.20
291 Uusi, Gunnar243863
292 Vooremaa, Andres243862 37.20
293 Sideif Sade, Fikret I243765 29.74
294 Haik, Aldo243760 28.94
295 Schussler, Harry243753 24.27
296 Ambroz, Jan243754 27.28
297 Jamieson, Robert Murray243768
298 Doda, Zbigniew243673 50.61
299 Langeweg, Kick243650 44.56
300 Rath, Ulrik243671 34.76
301 Mokrý, Karel243571 22.65
302 Hug, Werner243562 29.05
303 Garcia, Gildardo243564 27.56
304 Adamski, Jan243551 37.88
305 Hennings, Artur243562 41.22
306 Vadasz, Laszlo243553 33.67
307 Renman, Nils Gustaf243360
308 Qi Jingxuan243370 33.89
309 Rodriguez Vargas, Orestes243261 38.24
310 Toth, Bela243157 38.45
311 Pomar Salamanca, Arturo243169 50.08
312 Hansson, Dan243069 29.30
313 Velickovic, Sasa243057 30.49
314 Debarnot, Roberto243066 34.15
315 Ostojic, Predrag243071 43.61
316 Sokolov, Andrey Y243065 18.53
317 Littlewood, Paul E242957 25.70
318 Mestrovic, Zvonimir242865 36.95
319 Antunac, Goran242766 36.45
320 Luczak, Andrzej242754 32.82
321 Duer, Arne242760 22.22
322 Sydor, Andrzej242769 44.74
323 Pytel, Krzysztof242658 36.37
324 Mortensen, Erling242553 26.48
325 Bohm, Hans242451 31.71
326 Shirazi, Kamran G242463 28.86
327 Tompa, Janos242363 34.42
328 Gruenberg, Hans Ulrich242355 25.72
329 Augustin, Josef242358 39.37
330 Alexandria, Nana242356 31.96
331 Zichichi, Alvise242359 43.24
332 Clemens, Christian242275 41.15
333 Despotovic, Momcilo242261 33.57
334 Trifunov, Dimitar242268 17.73
335 Botterill, George Steven242266
336 Gerusel, Mathias242270 43.65
337 Matera, Salvatore Joseph242272
338 Brinck Claussen, Bjorn242157
339 Fedorowicz, John P242053 23.01
340 Zivanovic, Ivan242066 18.50
341 Flesch, Janos242064 47.99
342 Sjoberg, Mats242062 22.88
343 Plaskett, Jim241963 21.53
344 Prandstetter, Eduard241952 32.79
345 Minev, Nikolay N241974 50.73
346 Arbakov, Valentin241863 29.67
347 Hebert, Jean241857 23.88
348 Ostermeyer, Peter241869 37.96
349 Ciric, Dragoljub M241870 45.88
350 Honfi, Karoly241764 50.92
351 Peev, Peicho Chonev241769 41.49
352 Garcia Martinez, Silvino241760 37.24
353 Guimard, Carlos E241772 68.48
354 Pétursson, Margeir241653 21.62
355 Strauss, David J241666 35.15
356 Krnic, Zdenko241660 33.99
357 Kuijpers, Franciscus Antonius241671
358 Cifuentes Parada, Roberto241571 23.77
359 Law, Andrew P241563 31.22
360 Lau, Ralf241566 21.94
361 Arnason, Jon L241454 20.88
362 Harandi, Khosro241468 31.08
363 Trapl, Jindrich241468 39.52
364 Kristiansen, Jens241356 29.35
365 Rantanen, Yrjo A241354 31.44
366 Hase, Juan Carlos241265
367 Franco Ocampos, Zenon241262 25.38
368 Helmers, Knut J241160 24.65
369 Bellin, Robert241154 29.25
370 Hoelzl, Franz241156 35.48
371 Webb, Simon241169 32.30
372 Fedder, Steen241163 30.29
373 Balinas, Rosendo Carrean241165
374 Akesson, Ralf241058 20.64
375 Borik, Otto241054 34.01
376 Kunsztowicz, Uwe240959 37.70
377 McCambridge, Vincent240860 21.56
378 Jakobsen, Ole240856 38.94
379 Watson, John L240760 30.07
380 Sznapik, Aleksander240751 30.64
381 Ioseliani, Nana240671 19.63
382 Djukic, Zeljko240665 22.30
383 Mascarinas, Rico240560 28.58
384 Moehring, Guenther240358 44.85
385 Sisniega, Marcel240374 22.17
386 Pritchett, Craig William240362
387 Kaiszauri, Konstanty240356 28.92
388 Garcia Palermo, Carlos240363 27.83
389 Bielczyk, Jacek240254 28.60
390 Fries Nielsen, Jens Ove240256 21.60
391 Morris, Walter D240166 23.08
392 Enklaar, Bertus F240169
393 Rubinetti, Jorge A240160 36.50
394 Nogueiras, Jesus240070 22.20
395 Tomaszewski, Roman240060 21.37
396 Szymczak, Zbigniew240055 29.74
397 Bukal, Vladimir Sr240066 41.91
398 Radev, Nikolai239961 42.78
399 Franklin, Michael J239974 50.66
400 Barle, Janez239967 29.52
401 Kelecevic, Nedeljko239859 34.55
402 Budde, Vladimir239863 28.77
403 Pokojowczyk, Jerzy239854 32.61
404 Cvetkovic, Srdjan239859 35.59
405 Scheeren, Peter239861 26.17
406 Welin, Thomas239765 22.07
407 Nun, Jiri239764 24.17
408 Osmanovic, Kemal239767 40.56
409 Kouatly, Bachar239763 23.57
410 Tisdall, Jonathan D239765 23.09
411 Van der Sterren, Paul239753 25.54
412 Vilela, Jose Luis239654 28.53
413 Danner, Georg239658 34.92
414 Bohosjan, Sarkis239667 40.51
415 Banas, Jan239653 34.32
416 Bednarski, Jacek B239560 42.55
417 Short, Nigel D239556 16.33
418 Balshan, Amikam239571
419 Swic, Waldemar239463 28.55
420 Vetemaa, Juri239475 25.09
421 Vinje Gulbrandsen, Arne239473
422 Hoi, Carsten239353 24.70
423 Tischbierek, Raj239355 19.02
424 Filipowicz, Andrzej239364 43.38
425 Bouaziz, Slim239265 31.45
426 Deze, Anton239268
427 Cuartas, Carlos239161 41.12
428 Cabrilo, Goran239155 23.24
429 Emma, Jaime J239065 43.70
430 Brondum, Eric238962 39.79
431 Dueckstein, Andreas238967 54.16
432 Ravikumar, Vaidyanathan238958 21.76
433 Reefschlaeger, Helmut238970 37.48
434 Petran, Pal238858 35.04
435 Donchev, Dimitar I238768 23.19
436 Ost Hansen, Jacob238766
437 Gruchacz, Robert238673 27.83
438 Olafsson, Helgi238656 25.12
439 Schoeneberg, Manfred238668 35.23
440 Hansen, Curt238560 17.03
441 Biriescu, Ioan238571 27.92
442 Bronstein, Luis238462 35.33
443 Horvath, Tamas238355 29.93
444 Flear, Glenn C238373 22.63
445 Wilder, Michael238164 19.04
446 Ernst, Thomas238062 21.12
447 Herzog, Adolf238058 28.31
448 Lukov, Valentin238059 25.80
449 Frias, Victor J237961 25.64
450 Bajovic, Milan237973
451 Nun, Josef237861 48.19
452 Neckar, Lubomir237860 31.16
453 Kagan, Shimon237859 39.48
454 Gonsior, Evzen237865 49.81
455 Gauglitz, Gernot237862 19.26
456 Adamski, Andrzej237766 42.71
457 Goodman, David SC237772
458 Borm, Franciscus WM237768
459 Spraggett, Kevin B237770 26.89
460 Watzka, Horst237474 43.05
461 Filipovic, Branko237468 23.98
462 Dobosz, Henryk237455 28.53
463 Benjamin, Joel L237457 17.55
464 Rumens, David E237470 42.02
465 Cuasnicu, Oscar237375 38.93
466 Iskov, Gert237353 33.17
467 Zapata, Alonso237362 23.11
468 Janoševic, Dragoljub237268 58.23
469 Cording, Harm237273 44.72
470 Pavlov, Mircea237256 44.04
471 Bastian, Herbert237268 28.80
472 Braga, Fernando237164 23.22
473 Przewoznik, Jan237161 24.04
474 Hartoch, Robert G237160
475 Sapi, Laszlo237162 46.53
476 Barlov, Dragan237060 24.67
477 Fernandez Garcia, Jose Luis236965 27.41
478 Morovic Fernández, Iván E236969 18.52
479 Arapovic, Vitomir236964 29.78
480 Bator, Zbigniew236871 29.82
481 Van Riemsdijk, Herman C236758 33.09
482 Day, Lawrence A236759 32.66
483 Zarubin, O.236776
484 Segal, Alexandru Sorin236665 33.98
485 Kristensen, Bjarke236558 25.47
486 Soos, Bela236567 51.56
487 Horner, Jeff236472 32.10
488 Lieb, Harald236470 46.76
489 Schinzel, Wladyslaw236453 38.36
490 Wagman, Stuart236470 62.38
491 Jacobsen, Bo236372 32.80
492 Rossetto, Héctor D236274 59.06
493 Basman, Michael J236271 35.54
494 Nicevski, Risto236259 36.26
495 Rigo, Janos236158 32.92
496 Odendahl, Steven M236170 21.92
497 Angantysson, Haukur236169 32.83
498 Heinbuch, Detlef236171 20.72
499 Bellon Lopez, Juan Manuel235953 31.39
500 Root, Douglas235966 18.63

These ratings, calculated as of September 30, 1981, incorporate all games (against rated opponents) played in the time between October 1, 1980 and September 30, 1981, along with the ratings that were already calculated as of September 30, 1980. 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, 1981. This represents the player's estimated strength on October 1, 1981.

+/- 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, 1981. The +/- value represents the standard deviation of that estimate; the player's true strength on October 1, 1981 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, 1981. 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, 1981. 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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