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Top 10 active players as of August 31, 1981


Top 500 active players as of August 31, 1981

  #  

Player Rating +/- Best? 75%? Age
1 Karpov, Anatoly E27764941.5% #430.27
2 Korchnoi, Viktor L27504920.1% #750.44
3 Kasparov, Garry K27385115.0% #918.38
4 Timman, Jan H2706473.9% #1729.71
5 Portisch, Lajos2694492.7% #2244.41
6 Tal, Mikhail2693492.4% #2244.81
7 Polugaevsky, Lev A2683501.6% #2746.78
8 Hübner, Robert2676501.5% #3032.82
9 Spassky, Boris V2673501.1% #3244.59
10 Beliavsky, Alexander G2670490.9% #3427.71
11 Romanishin, Oleg M2667480.8% #3529.64
12 Andersson, Ulf2661480.5% #3830.18
13 Larsen, Bent2660480.5% #3946.49
14 Gulko, Boris F2660571.2% #4234.56
15 Petrosian, Tigran V2659510.6% #4152.21
16 Psakhis, Lev B2653520.5% #4522.76
17 Balashov, Yury S2652490.3% #4332.47
18 Dolmatov, Sergey V2650520.4% #4622.53
19 Tseshkovsky, Vitaly V2648480.2% #4636.93
20 Ribli, Zoltán2648500.4% #4729.98
21 Sosonko, Gennadi2644500.3% #5038.29
22 Hort, Vlastimil2640480.1% #5237.64
23 Smyslov, Vassily V2637520.2% #5560.44
24 Vaganian, Rafael A2630490.1% #6029.88
25 Ljubojevic, Ljubomir2629490.1% #6030.83
26 Bronstein, David I2625540.2% #6657.53
27 Mikhalchishin, Adrian B2624550.1% #6926.79
28 Sveshnikov, Evgeny E2624510.1% #6631.55
29 Kavalek, Lubomir2623490.1% #6538.06
30 Geller, Efim P2623510.1% #6656.50
31 Jussupow, Artur M2622510.1% #6721.55
32 Gheorghiu, Florin2621500.1% #6737.40
33 Miles, Anthony J262148 #6726.36
34 Kholmov, Ratmir D2619630.4% #7756.30
35 Gufeld, Eduard E2615530.1% #7445.45
36 Kuzmin, Gennady P2613500.1% #7435.62
37 Makarichev, Sergey Y260952 #7827.79
38 Lerner, Konstantin Z2606540.1% #8331.51
39 Kupreichik, Viktor D260452 #8332.16
40 Seirawan, Yasser260150 #8521.44
41 Savon, Vladimir A2601570.1% #8940.92
42 Vasiukov, Evgeny A259953 #8848.49
43 Christiansen, Larry M259950 #8625.18
44 Browne, Walter S259949 #8632.64
45 Rashkovsky, Nukhim N259850 #8735.37
46 Eingorn, Viacheslav S2596610.1% #9624.77
47 Parma, Bruno2594570.1% #9639.67
48 Dorfman, Iosif D259353 #9429.33
49 Gipslis, Aivars259355 #9644.56
50 Taimanov, Mark E259256 #9755.57
51 Palatnik, Semen A2592720.3% #10731.43
52 Panchenko, Alexander N259153 #9527.90
53 Dzindzichashvili, Roman Y259057 #10037.32
54 Smejkal, Jan258751 #9835.44
55 Sax, Gyula258750 #9730.20
56 Kurajica, Bojan258753 #10033.79
57 Ivanov, Igor V2586610.1% #10634.65
58 Georgadze, Tamaz V258553 #10233.81
59 Gligoric, Svetozar258452 #10258.58
60 Averbakh, Yury L2584710.2% #11459.56
61 Kochiev, Alexander258358 #10725.43
62 Razuvaev, Yury S258251 #10335.89
63 Nunn, John D M257950 #10526.35
64 Petrosian, Arshak B257655 #11127.71
65 Ivkov, Borislav257549 #10847.80
66 Vitolinš, Alvis257457 #11435.21
67 Chernin, Alexander M2573680.1% #12321.48
68 Veingold, Aleksander257261 #11927.89
69 Ftácnik, Lubomír257051 #11423.84
70 Szabó, László2570730.1% #12964.45
71 Unzicker, Wolfgang256955 #11856.18
72 Bagirov, Vladimir K256953 #11745.04
73 Tseitlin, Mikhail S256758 #12234.21
74 Ubilava, Elizbar E2566710.1% #13031.01
75 Evans, Larry M256664 #12749.44
76 Alburt, Lev O256351 #12136.03
77 Uhlmann, Wolfgang256350 #12046.42
78 Liberzon, Vladimir M256152 #12444.44
79 Tringov, Georgy P256056 #12844.48
80 Tarjan, James E256054 #12629.53
81 Vyzmanavin, Alexey255965 #13321.66
82 Lein, Anatoly255851 #12650.43
83 Olafsson, Fridrik255656 #13046.60
84 Adorján, András255550 #12731.42
85 Byrne, Robert E255553 #13053.36
86 Kapengut, Albert Z255567 #13837.16
87 Kharitonov, Andrey Y255463 #13722.41
88 Nemet, Ivan255462 #13738.38
89 Najdorf, Miguel255456 #13371.38
90 Tukmakov, Vladimir B255454 #13135.46
91 Darga, Klaus V255168 #14247.52
92 Torre, Eugenio255149 #13129.82
93 Kremenetsky, Anatoly M255065 #14142.63
94 Panno, Oscar R255054 #13646.46
95 Csom, István254950 #13341.25
96 Pachmann, Ludek254866 #14457.30
97 Stean, Michael F254752 #13627.98
98 Quinteros, Miguel A254751 #13633.68
99 Timoshchenko, Gennady254662 #14332.34
100 Didishko, Vereslav254664 #14532.39
101 Grigorian, Karen A254659 33.98
102 Gurgenidze, Bukhuti I254471 47.80
103 Vogt, Lothar H254349 29.62
104 Knaak, Rainer F254249 28.46
105 Matanovic, Aleksandar254162 51.27
106 Lombardy, William J253959 43.74
107 Cebalo, Mišo253957 36.57
108 Murey, Yakov253868 40.08
109 Filip, Miroslav253567 52.84
110 Nei, Iivo253461 49.83
111 Kovacevic, Vladimir253363 39.43
112 Simic, Radoslav253356 33.23
113 Bukic, Enver253257 43.75
114 Speelman, Jonathan S253250 24.91
115 Pfleger, Helmut253260 38.07
116 Nikolac, Juraj253162 49.36
117 Faragó, Iván253149 35.41
118 Velimirovic, Dragoljub252853 39.30
119 Kaplan, Julio P252667 31.10
120 Rogoff, Kenneth S252668 28.44
121 Shamkovich, Leonid A252552 58.25
122 Ivanov, Alexander V252558 25.33
123 van der Wiel, John T H252450 22.06
124 Yurtaev, Leonid252469 22.33
125 Ree, Hans252349 36.95
126 Chekhov, Valery A252253 25.76
127 Lputian, Smbat G252255 23.55
128 Schmidt, Wlodzimierz252150 38.39
129 Keene, Raymond252152
130 Pintér, József252053 27.81
131 Gorelov, Sergey G251964 24.04
132 Matulovic, Milan251960 46.22
133 Vukic, Milan251856 38.03
134 Ivanovic, Božidar251754 35.02
135 Suba, Mihai251655 34.25
136 Suetin, Alexey S251453 54.79
137 Marjanovic, Slavoljub251355 26.65
138 Magerramov, Elmar S251158 23.39
139 Shereshevsky, Mikhail I251173 31.36
140 Zaitsev, Igor A251056 43.26
141 Reshevsky, Samuel H250957 69.76
142 Agzamov, Georgy T250860 26.98
143 Popovic, Petar250855 22.55
144 Kakageldyev, Amanmurad250675 31.68
145 Díez del Corral, Jesús250659 48.40
146 Marovic, Dražen250462 43.63
147 Stoica, Valentin250466 31.54
148 Biyiasas, Peter250456 30.78
149 Malich, Burkhard G250356 44.76
150 Anikaev, Yury250364 33.17
151 Espig, Lutz250352 32.65
152 Bleiman, Yaacov250272 33.97
153 Karner, Hillar250162 46.09
154 Mnatsakanian, Eduard A250064 42.73
155 Klovans, Janis249958 46.39
156 Vera, Reynaldo249963 20.65
157 Ermenkov, Evgenij249751 31.92
158 Zaltsman, Vitaly F249759 39.85
159 Georgiev, Krum249658 23.27
160 Kraidman, Yair249671 48.83
161 Lukacs, Peter249651 31.14
162 Řgaard, Leif249662 29.65
163 Vorotnikov, Vladislav V249476 34.04
164 Karlsson, Lars249351 26.14
165 Nikolic, Zivoslav249362 27.72
166 Plachetka, Jan249350 36.54
167 Popov, Luben249253 45.59
168 Sturua, Zurab249268 22.23
169 Radulov, Ivan249255 42.65
170 Barczay, Laszlo249252 45.53
171 Lechtynsky, Jiri249154 33.77
172 Tatai, Stefano249156 43.44
173 Benko, Pal C249161 53.13
174 Bilek, István249076 49.05
175 Thipsay, Praveen Mahadeo248973 22.05
176 Chandler, Murray G248951 21.41
177 Knezevic, Milorad248853 44.83
178 Antoshin, Vladimir S248859 52.30
179 Gavrikov, Victor N248765 24.09
180 Cámpora, Daniel H248658 24.17
181 Ciocaltea, Victor248553 49.62
182 Vaisser, Anatoli248572 32.49
183 Jansa, Vlastimil248450 38.76
184 Gruenfeld, Yehuda248454 25.51
185 Regan, Kenneth248473 21.96
186 Lutikov, Anatoly S248266 48.57
187 Petrushin, Alexander I248261 34.47
188 Burger, Karl248258 48.61
189 Chiburdanidze, Maia G248153 20.62
190 Birnboim, Nathan248066 30.76
191 Kengis, Edvins248061 22.39
192 Grefe, John A248063 33.98
193 Calvo Minguez, Ricardo248066 37.86
194 Rukavina, Josip247967 38.76
195 Ligterink, Gert247952 31.79
196 Velikov, Petar247955 30.42
197 Nikolic, Predrag247859 20.97
198 Robatsch, Karl247761 52.88
199 Mednis, Edmar J247760 44.44
200 Meduna, Eduard247652 30.97
201 Padevsky, Nikola B247662 48.26
202 Buturin, Vladimir247565 37.78
203 Inkiov, Ventzislav247554 25.28
204 Rogulj, Branko247461 30.08
205 Peters, John A247354 30.56
206 Donner, Johannes H247354 54.15
207 Feustel, Bernd247159 26.94
208 Rodriguez, Amador247062 24.97
209 Minic, Dragoljub247072 44.49
210 Sigurjónsson, Gudmundur246953 33.93
211 Damjanovic, Mato246967 54.44
212 Kuligowski, Adam246852 25.69
213 Vranesic, Zvonko246774 42.91
214 Hartston, William R246757 34.05
215 Hulak, Krunoslav246761 30.27
216 Platonov, Igor V246762 47.62
217 Hecht, Hans-Joachim246763 42.59
218 Wedberg, Tom246655 27.76
219 Sunye Neto, Jaime246652 24.33
220 Diesen, Mark C246668
221 Portisch, Ferenc246657 42.39
222 deFirmian, Nicholas E246555 24.10
223 Mestel, A Jonathan246552 24.47
224 Szmetan, Jorge246561 31.26
225 Bisguier, Arthur B246563 51.90
226 Vokác, Marek246559 22.73
227 Ekstroem, Roland246469 25.28
228 Rajkovic, Dusan246455 39.21
229 Djuric, Stefan246353 26.10
230 Hazai, Laszlo246352 28.21
231 Andrianov, Nikolai246363 19.70
232 Bradford, Joseph M246363 30.83
233 Mochalov, Evgeny V246269 29.84
234 Ghinda, Mihail Viorel246253 32.10
235 Gaprindashvili, Nona246168 40.33
236 Soltis, Andrew E246166 34.26
237 Schweber, Samuel246163 45.12
238 Schneider, Lars Ake246054
239 Zaichik, Gennady L246068 24.55
240 Bönsch, Uwe246051 22.88
241 Kirov Ivanov, Nino246051 35.97
242 Van Wijgerden, Cornelis246062 31.27
243 Groszpeter, Attila245953 21.23
244 Ornstein, Axel245952 29.35
245 Klaric, Zlatko245858 24.85
246 Taulbut, Shaun M245659 23.64
247 Gutman, Lev245666 35.92
248 Taruffi, Daniele245665 22.98
249 Wittmann, Walter245561 33.47
250 Hernandez, Roman245564 31.77
251 Forintos, Gyözö V245556 46.09
252 Westerinen, Heikki MJ245352 37.34
253 Podzielny, Karl Heinz245267 26.97
254 Lengyel, Levente245257 48.22
255 Castro Rojas, Oscar Humberto245161 28.31
256 Myagmarsuren, Lhamsuren245175 43.54
257 Spassov, Liuben245151 38.44
258 Spiridonov, Nikola245153 43.51
259 Hausner, Ivan245156 29.38
260 Lobron, Eric245054 21.32
261 Piasetski, Leon David245070
262 Makropoulos, Georgios244955 27.92
263 Szekely, Peter244958 26.56
264 Kaufman, Larry C244975 33.79
265 Ghitescu, Theodor244859 47.60
266 Ungureanu, Emil244875 44.83
267 Kogan, Boris244861
268 Henley, Ron W244757 24.74
269 Cramling, Dan244661 22.57
270 Garcia, Raimundo244675 45.26
271 Hamann, Svend244667 40.90
272 Kestler, Hans-Günter244563 41.72
273 García Gonzáles, Guillermo244554 27.73
274 Bjelajac, Milan244568 33.46
275 Azmaiparashvili, Zurab A244573 21.46
276 Lederman, Leon244569 34.27
277 Mariotti, Sergio244557 35.06
278 Kindermann, Stefan244456 21.68
279 Sahovic, Dragutin244459 41.06
280 Martinovic, Slobodan244454 36.10
281 Wockenfuss, Klaus244265 30.01
282 Raicevic, Vladimir244256 32.33
283 Lengyel, Laszlo244275 37.14
284 Pribyl, Josef244153 33.89
285 Wirthensohn, Heinz244058 30.32
286 Joksic, Sinisa243970 40.89
287 Kudrin, Sergey243958 21.98
288 Planinc, Albin243966 37.37
289 Rodriguez, Ruben243963 34.73
290 Lakic, Nikola243961 34.12
291 Uusi, Gunnar243963
292 Vooremaa, Andres243862 37.12
293 Haik, Aldo243860 28.87
294 Ambroz, Jan243854 27.20
295 Jamieson, Robert Murray243768
296 Schussler, Harry243753 24.19
297 Langeweg, Kick243750 44.48
298 Doda, Zbigniew243773 50.53
299 Rath, Ulrik243771 34.68
300 Mokrý, Karel243671 22.57
301 Hug, Werner243662 28.97
302 Adamski, Jan243651 37.80
303 Garcia, Gildardo243664 27.48
304 Hennings, Artur243662 41.14
305 Vadasz, Laszlo243553 33.59
306 Renman, Nils Gustaf243460
307 Qi Jingxuan243370 33.81
308 Rodriguez Vargas, Orestes243361 38.16
309 Sideif Sade, Fikret I243260 29.66
310 Toth, Bela243257 38.37
311 Pomar Salamanca, Arturo243169 49.99
312 Hansson, Dan243169 29.22
313 Strauss, David J243164 35.07
314 Ostojic, Predrag243071 43.53
315 Debarnot, Roberto243066 34.07
316 Littlewood, Paul E242957 25.62
317 Mestrovic, Zvonimir242965 36.87
318 Luczak, Andrzej242954 32.74
319 Antunac, Goran242866 36.37
320 Sokolov, Andrey Y242865 18.45
321 Duer, Arne242860 22.14
322 Sydor, Andrzej242769 44.66
323 Pytel, Krzysztof242658 36.29
324 Mortensen, Erling242653 26.40
325 Gruenberg, Hans Ulrich242555 25.64
326 Bohm, Hans242451 31.63
327 Shirazi, Kamran G242463 28.78
328 Tompa, Janos242463 34.34
329 Augustin, Josef242458 39.29
330 Trifunov, Dimitar242368 17.65
331 Zichichi, Alvise242359 43.16
332 Clemens, Christian242375 41.07
333 Despotovic, Momcilo242361 33.49
334 Botterill, George Steven242366
335 Gerusel, Mathias242370 43.57
336 Matera, Salvatore Joseph242272
337 Brinck Claussen, Bjorn242257
338 Zivanovic, Ivan242166 18.42
339 Plaskett, Jim242163 21.45
340 Fedorowicz, John P242153 22.92
341 Arnason, Jon L242153 20.80
342 Sjoberg, Mats242062 22.80
343 Prandstetter, Eduard242052 32.71
344 Minev, Nikolay N241974 50.65
345 Hebert, Jean241957 23.80
346 Ostermeyer, Peter241869 37.89
347 Ciric, Dragoljub M241870 45.80
348 Arbakov, Valentin241863 29.59
349 Honfi, Karoly241864 50.85
350 Peev, Peicho Chonev241869 41.41
351 Garcia Martinez, Silvino241760 37.16
352 Guimard, Carlos E241772 68.40
353 Pétursson, Margeir241753 21.54
354 Szymczak, Zbigniew241755 29.66
355 Krnic, Zdenko241660 33.91
356 Kuijpers, Franciscus Antonius241671
357 Cifuentes Parada, Roberto241671 23.69
358 Law, Andrew P241563 31.14
359 Lau, Ralf241566 21.87
360 Harandi, Khosro241568 30.99
361 Trapl, Jindrich241468 39.44
362 Kristiansen, Jens241456 29.27
363 Rantanen, Yrjo A241454 31.36
364 Sznapik, Aleksander241351 30.56
365 Hase, Juan Carlos241365
366 Ioseliani, Nana241363 19.55
367 Franco Ocampos, Zenon241362 25.30
368 Helmers, Knut J241260 24.57
369 Bellin, Robert241154 29.17
370 Webb, Simon241169 32.22
371 Fedder, Steen241163 30.21
372 Hoelzl, Franz241156 35.40
373 Akesson, Ralf241158 20.56
374 Borik, Otto241154 33.93
375 Balinas, Rosendo Carrean241165
376 Velickovic, Sasa241062 30.41
377 Alexandria, Nana240963 31.88
378 Kunsztowicz, Uwe240959 37.62
379 McCambridge, Vincent240960 21.48
380 Jakobsen, Ole240956 38.87
381 Watson, John L240760 29.98
382 Djukic, Zeljko240765 22.22
383 Mascarinas, Rico240560 28.50
384 Flesch, Janos240563 47.92
385 Moehring, Guenther240458 44.77
386 Sisniega, Marcel240474 22.09
387 Kaiszauri, Konstanty240456 28.85
388 Garcia Palermo, Carlos240363 27.75
389 Pritchett, Craig William240362
390 Bielczyk, Jacek240354 28.52
391 Fries Nielsen, Jens Ove240256 21.52
392 Enklaar, Bertus F240269
393 Rubinetti, Jorge A240160 36.42
394 Nogueiras, Jesus240170 22.12
395 Ravikumar, Vaidyanathan240157 21.68
396 Tomaszewski, Roman240160 21.29
397 Radev, Nikolai240061 42.70
398 Bukal, Vladimir Sr240066 41.83
399 Morris, Walter D240065 22.99
400 Franklin, Michael J240074 50.58
401 Barle, Janez240067 29.44
402 Kelecevic, Nedeljko239959 34.47
403 Budde, Vladimir239963 28.69
404 Pokojowczyk, Jerzy239954 32.53
405 Osmanovic, Kemal239867 40.48
406 Cvetkovic, Srdjan239859 35.51
407 Scheeren, Peter239861 26.09
408 Welin, Thomas239865 21.98
409 Nun, Jiri239864 24.09
410 Kouatly, Bachar239863 23.49
411 Tisdall, Jonathan D239865 23.01
412 Vilela, Jose Luis239754 28.45
413 Van der Sterren, Paul239753 25.46
414 Danner, Georg239758 34.85
415 Banas, Jan239653 34.24
416 Bohosjan, Sarkis239667 40.43
417 Bednarski, Jacek B239660 42.47
418 Short, Nigel D239556 16.25
419 Balshan, Amikam239571
420 Swic, Waldemar239563 28.47
421 Vetemaa, Juri239475 25.01
422 Vinje Gulbrandsen, Arne239473
423 Tischbierek, Raj239455 18.93
424 Hoi, Carsten239453 24.62
425 Filipowicz, Andrzej239364 43.30
426 Bouaziz, Slim239365 31.37
427 Deze, Anton239268
428 Cuartas, Carlos239261 41.04
429 Cabrilo, Goran239255 23.16
430 Emma, Jaime J239065 43.62
431 Brondum, Eric239062 39.71
432 Dueckstein, Andreas238967 54.08
433 Reefschlaeger, Helmut238970 37.40
434 Petran, Pal238958 34.95
435 Donchev, Dimitar I238868 23.11
436 Ost Hansen, Jacob238866
437 Schoeneberg, Manfred238768 35.15
438 Gruchacz, Robert238773 27.75
439 Hansen, Curt238660 16.95
440 Olafsson, Helgi238656 25.04
441 Biriescu, Ioan238671 27.85
442 Bronstein, Luis238562 35.25
443 Horvath, Tamas238455 29.86
444 Flear, Glenn C238373 22.55
445 Wilder, Michael238264 18.95
446 Lukov, Valentin238159 25.72
447 Ernst, Thomas238162 21.04
448 Frias, Victor J238061 25.56
449 Herzog, Adolf238058 28.23
450 Bajovic, Milan238073
451 Nun, Josef237961 48.11
452 Kagan, Shimon237959 39.40
453 Neckar, Lubomir237960 31.08
454 Gauglitz, Gernot237962 19.18
455 Gonsior, Evzen237865 49.73
456 Adamski, Andrzej237866 42.63
457 Goodman, David SC237872
458 Borm, Franciscus WM237868
459 Spraggett, Kevin B237770 26.81
460 Rumens, David E237569 41.93
461 Watzka, Horst237574 42.96
462 Benjamin, Joel L237457 17.47
463 Cuasnicu, Oscar237475 38.85
464 Iskov, Gert237453 33.09
465 Filipovic, Branko237468 23.90
466 Zapata, Alonso237462 23.03
467 Dobosz, Henryk237355 28.45
468 Janoševic, Dragoljub237368 58.15
469 Pavlov, Mircea237356 43.96
470 Bastian, Herbert237368 28.72
471 Cording, Harm237273 44.64
472 Braga, Fernando237264 23.14
473 Przewoznik, Jan237261 23.95
474 Barlov, Dragan237160 24.59
475 Sapi, Laszlo237162 46.45
476 Fernandez Garcia, Jose Luis237065 27.33
477 Arapovic, Vitomir237064 29.70
478 Morovic Fernández, Iván E237069 18.44
479 Hartoch, Robert G237059
480 Bator, Zbigniew236971 29.74
481 Van Riemsdijk, Herman C236858 33.01
482 Day, Lawrence A236859 32.58
483 Segal, Alexandru Sorin236765 33.91
484 Soos, Bela236667 51.48
485 Kristensen, Bjarke236658 25.39
486 Lieb, Harald236570 46.68
487 Schinzel, Wladyslaw236453 38.28
488 Wagman, Stuart236470 62.30
489 Horner, Jeff236472 32.02
490 Jacobsen, Bo236472 32.72
491 Rossetto, Héctor D236374 58.97
492 Nicevski, Risto236259 36.18
493 Basman, Michael J236271 35.46
494 Rigo, Janos236258 32.84
495 Odendahl, Steven M236270 21.85
496 Angantysson, Haukur236169 32.75
497 Heinbuch, Detlef236171 20.64
498 Bellon Lopez, Juan Manuel236053 31.31
499 Sloth, Jorn235964 36.98
500 Root, Douglas235966 18.55

These ratings, calculated as of August 31, 1981, incorporate all games (against rated opponents) played in the time between September 1, 1980 and August 31, 1981, along with the ratings that were already calculated as of August 31, 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 August 31, 1981. This represents the player's estimated strength on September 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 September 1, 1981. The +/- value represents the standard deviation of that estimate; the player's true strength on September 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 September 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 August 31, 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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