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Top 10 active players as of July 31, 1981


Top 500 active players as of July 31, 1981

  #  

Player Rating +/- Best? 75%? Age
1 Karpov, Anatoly E27754940.1% #430.19
2 Korchnoi, Viktor L27614927.4% #550.36
3 Kasparov, Garry K27255210.0% #1218.30
4 Timman, Jan H2706474.0% #1729.63
5 Portisch, Lajos2691482.1% #2344.32
6 Tal, Mikhail2684491.8% #2744.73
7 Hübner, Robert2681501.6% #2932.73
8 Polugaevsky, Lev A2680501.5% #2946.70
9 Spassky, Boris V2672501.1% #3344.50
10 Beliavsky, Alexander G2672490.9% #3327.62
11 Larsen, Bent2664480.6% #3746.41
12 Romanishin, Oleg M2662490.6% #3829.56
13 Petrosian, Tigran V2657510.6% #4252.12
14 Gulko, Boris F2656560.9% #4534.48
15 Andersson, Ulf2655480.3% #4230.09
16 Balashov, Yury S2653490.3% #4432.38
17 Psakhis, Lev B2650530.5% #4822.67
18 Ribli, Zoltán2650500.4% #4729.90
19 Dolmatov, Sergey V2650520.5% #4822.45
20 Sosonko, Gennadi2641490.2% #5238.20
21 Hort, Vlastimil2641480.2% #5137.55
22 Tseshkovsky, Vitaly V2641490.2% #5236.85
23 Jussupow, Artur M2640510.3% #5521.47
24 Smyslov, Vassily V2638520.2% #5660.35
25 Ljubojevic, Ljubomir2636490.2% #5630.74
26 Vaganian, Rafael A2630490.1% #6129.79
27 Mikhalchishin, Adrian B2628550.2% #6626.70
28 Sveshnikov, Evgeny E2626510.1% #6531.47
29 Kavalek, Lubomir2625490.1% #6537.97
30 Miles, Anthony J2623480.1% #6626.27
31 Geller, Efim P2623510.1% #6756.41
32 Gheorghiu, Florin2620500.1% #6937.32
33 Bronstein, David I2620540.1% #7257.45
34 Kholmov, Ratmir D2617620.3% #7956.22
35 Kupreichik, Viktor D2617530.1% #7432.08
36 Gufeld, Eduard E2613530.1% #7745.37
37 Kuzmin, Gennady P261250 #7735.53
38 Christiansen, Larry M260750 #8025.09
39 Gipslis, Aivars2607590.1% #8644.48
40 Makarichev, Sergey Y260452 #8527.70
41 Savon, Vladimir A2602570.1% #8940.85
42 Dvoretsky, Mark I2601730.5% #10033.64
43 Rashkovsky, Nukhim N260151 #8635.29
44 Lerner, Konstantin Z260054 #9031.42
45 Vasiukov, Evgeny A259953 #8948.40
46 Seirawan, Yasser259850 #8821.35
47 Browne, Walter S259849 #8932.56
48 Parma, Bruno2597580.1% #9439.59
49 Eingorn, Viacheslav S2596610.1% #9724.68
50 Dzindzichashvili, Roman Y2595570.1% #9537.24
51 Dorfman, Iosif D259253 #9629.25
52 Smejkal, Jan259251 #9435.36
53 Gligoric, Svetozar259152 #9658.49
54 Palatnik, Semen A2590720.2% #11131.35
55 Sax, Gyula258950 #9730.12
56 Panchenko, Alexander N258953 #9927.82
57 Kurajica, Bojan258753 #10133.71
58 Taimanov, Mark E258756 #10255.48
59 Ivanov, Igor V2586610.1% #10634.56
60 Petrosian, Arshak B258559 #10527.62
61 Averbakh, Yury L2585700.2% #11359.48
62 Nunn, John D M258451 #10226.27
63 Bagirov, Vladimir K258154 #10744.95
64 Kochiev, Alexander258158 #10925.35
65 Ivkov, Borislav258049 #10547.72
66 Razuvaev, Yury S257950 #10735.81
67 Uhlmann, Wolfgang257951 #10746.34
68 Georgadze, Tamaz V257852 #10933.73
69 Unzicker, Wolfgang257055 #11856.10
70 Ftácnik, Lubomír257051 #11623.75
71 Szabó, László2569720.1% #12964.37
72 Veingold, Aleksander256961 #12327.81
73 Evans, Larry M256864 #12649.36
74 Alburt, Lev O256752 #11835.94
75 Tseitlin, Mikhail S256756 #12234.12
76 Vitolinš, Alvis256665 #12835.13
77 Ubilava, Elizbar E2565710.1% #13330.92
78 Adorján, András256451 #12131.33
79 Liberzon, Vladimir M256152 #12544.36
80 Lein, Anatoly256051 #12450.34
81 Byrne, Robert E255753 #12853.28
82 Vyzmanavin, Alexey255765 #13621.58
83 Kapengut, Albert Z255767 #13837.07
84 Tarjan, James E255654 #13129.44
85 Kharitonov, Andrey Y255663 #13522.32
86 Olafsson, Fridrik255656 #13246.51
87 Tukmakov, Vladimir B255654 #13135.38
88 Najdorf, Miguel255555 #13271.29
89 Darga, Klaus V255369 #14247.44
90 Csom, István255149 #13341.16
91 Torre, Eugenio255049 #13329.74
92 Kremenetsky, Anatoly M254965 #14342.55
93 Panno, Oscar R254953 #13746.37
94 Tringov, Georgy P254858 #14044.40
95 Didishko, Vereslav254864 #14432.31
96 Nemet, Ivan254761 #14338.30
97 Quinteros, Miguel A254650 #13733.59
98 Grigorian, Karen A254559 #14233.90
99 Gurgenidze, Bukhuti I254471 #15247.72
100 Knaak, Rainer F254349 #13928.37
101 Stean, Michael F254351 27.91
102 Lombardy, William J254259 43.66
103 Timoshchenko, Gennady254260 32.26
104 Speelman, Jonathan S253951 24.83
105 Pfleger, Helmut253959 37.98
106 Pachmann, Ludek253965 57.22
107 Cebalo, Mišo253957 36.48
108 Matanovic, Aleksandar253962 51.19
109 Murey, Yakov253768 39.99
110 Filip, Miroslav253663 52.76
111 Kovacevic, Vladimir253563 39.35
112 Chernin, Alexander M253468 21.40
113 Nei, Iivo253361 49.75
114 Bukic, Enver253257 43.66
115 Simic, Radoslav253156 33.14
116 Velimirovic, Dragoljub253053 39.22
117 Shamkovich, Leonid A253052 58.16
118 Faragó, Iván252849 35.33
119 Kaplan, Julio P252867 31.02
120 Vogt, Lothar H252849 29.54
121 Chekhov, Valery A252855 25.68
122 Ivanov, Alexander V252658 25.25
123 Yurtaev, Leonid252569 22.25
124 Rogoff, Kenneth S252567 28.36
125 Nikolac, Juraj252361 49.27
126 Keene, Raymond252352
127 Lputian, Smbat G252255 23.46
128 Pintér, József252253 27.73
129 Ree, Hans252249 36.88
130 Suba, Mihai252055 34.16
131 Matulovic, Milan251960 46.14
132 Gorelov, Sergey G251964 23.95
133 van der Wiel, John T H251951 21.97
134 Klovans, Janis251863 46.31
135 Vukic, Milan251656 37.94
136 Magerramov, Elmar S251358 23.31
137 Suetin, Alexey S251352 54.71
138 Shereshevsky, Mikhail I251373 31.28
139 Marjanovic, Slavoljub251355 26.57
140 Ivanovic, Božidar251253 34.93
141 Reshevsky, Samuel H251256 69.68
142 Zaitsev, Igor A250956 43.18
143 Agzamov, Georgy T250960 26.90
144 Anikaev, Yury250865 33.09
145 Kakageldyev, Amanmurad250875 31.59
146 Popovic, Petar250855 22.46
147 Stoica, Valentin250765 31.46
148 Díez del Corral, Jesús250658 48.32
149 Espig, Lutz250651 32.57
150 Malich, Burkhard G250556 44.67
151 Marovic, Dražen250562 43.55
152 Biyiasas, Peter250256 30.70
153 Schmidt, Wlodzimierz250150 38.31
154 Karner, Hillar250162 46.01
155 Bleiman, Yaacov250072 33.90
156 Mnatsakanian, Eduard A250064 42.65
157 Radulov, Ivan249955 42.56
158 Chandler, Murray G249851 21.32
159 Barczay, Laszlo249751 45.44
160 Benko, Pal C249661 53.04
161 Lukacs, Peter249651 31.06
162 Vorotnikov, Vladislav V249676 33.95
163 Burger, Karl249558 48.52
164 Plachetka, Jan249550 36.45
165 Zaltsman, Vitaly F249559 39.76
166 Bilek, István249566 48.96
167 Moiseev, Oleg L249469 56.23
168 Padevsky, Nikola B249266 48.17
169 Gavrikov, Victor N249265 24.01
170 Gruenfeld, Yehuda249254 25.42
171 Popov, Luben249254 45.51
172 Nikolic, Zivoslav249162 27.63
173 Tatai, Stefano249156 43.36
174 Vera, Reynaldo249164 20.56
175 Sturua, Zurab249168 22.15
176 Řgaard, Leif249163 29.57
177 Jansson, Borje249074 39.38
178 Ermenkov, Evgenij249053 31.84
179 Kraidman, Yair248972 48.75
180 Thipsay, Praveen Mahadeo248873 21.96
181 Knezevic, Milorad248852 44.75
182 Antoshin, Vladimir S248859 52.21
183 Lechtynsky, Jiri248853 33.68
184 Ciocaltea, Victor248553 49.54
185 Vaisser, Anatoli248572 32.40
186 Georgiev, Krum248560 23.19
187 Jansa, Vlastimil248550 38.68
188 Petrushin, Alexander I248561 34.39
189 Robatsch, Karl248461 52.80
190 Grefe, John A248362 33.90
191 Lutikov, Anatoly S248366 48.49
192 Regan, Kenneth248367 21.88
193 Karlsson, Lars248251 26.05
194 Rukavina, Josip248166 38.67
195 Cámpora, Daniel H248159 24.09
196 Peters, John A248154 30.47
197 Meduna, Eduard248152 30.89
198 Andrianov, Nikolai247963 19.61
199 Birnboim, Nathan247966 30.68
200 Calvo Minguez, Ricardo247965 37.77
201 Ligterink, Gert247851 31.70
202 Nikolic, Predrag247859 20.89
203 Mednis, Edmar J247759 44.36
204 Sigurjónsson, Gudmundur247753 33.85
205 Rogulj, Branko247661 29.99
206 Buturin, Vladimir247665 37.70
207 Donner, Johannes H247354 54.07
208 Inkiov, Ventzislav247356 25.20
209 Chiburdanidze, Maia G247353 20.54
210 Hulak, Krunoslav247261 30.18
211 Minic, Dragoljub247172 44.40
212 Velikov, Petar247055 30.34
213 Schneider, Lars Ake246955
214 Hecht, Hans-Joachim246864 42.51
215 Djuric, Stefan246853 26.01
216 Feustel, Bernd246759 26.86
217 Ambroz, Jan246656 27.12
218 Wedberg, Tom246656 27.68
219 Hartston, William R246657 33.96
220 Platonov, Igor V246662 47.54
221 deFirmian, Nicholas E246655 24.01
222 Vokác, Marek246559 22.65
223 Sunye Neto, Jaime246553 24.24
224 Portisch, Ferenc246556 42.31
225 Vranesic, Zvonko246473 42.82
226 Van Wijgerden, Cornelis246460 31.19
227 Rodriguez, Amador246361 24.90
228 Hazai, Laszlo246352 28.13
229 Piasetski, Leon David246370
230 Groszpeter, Attila246253 21.14
231 Bisguier, Arthur B246263 51.81
232 Zaichik, Gennady L246268 24.47
233 Rajkovic, Dusan246255 39.12
234 Bradford, Joseph M246163 30.75
235 Soltis, Andrew E246065 34.17
236 Mestel, A Jonathan246052 24.38
237 Gaprindashvili, Nona246067 40.24
238 Castro Rojas, Oscar Humberto246060 28.23
239 Spassov, Liuben245950 38.36
240 Bönsch, Uwe245951 22.79
241 Henley, Ron W245957 24.65
242 Hernandez, Roman245961 31.69
243 Ghinda, Mihail Viorel245753 32.02
244 Szmetan, Jorge245759 31.18
245 Gutman, Lev245766 35.85
246 Damjanovic, Mato245765 54.36
247 Diesen, Mark C245764
248 Ghitescu, Theodor245659 47.52
249 Wittmann, Walter245661 33.38
250 Lengyel, Levente245657 48.13
251 Forintos, Gyözö V245658 46.00
252 Mochalov, Evgeny V245669 29.76
253 Schussler, Harry245453 24.10
254 Myagmarsuren, Lhamsuren245375 43.45
255 Klaric, Zlatko245360 24.77
256 Taulbut, Shaun M245358 23.55
257 Taruffi, Daniele245365 22.91
258 Ekstroem, Roland245373 25.19
259 Kirov Ivanov, Nino245351 35.89
260 Podzielny, Karl Heinz245267 26.89
261 Hamann, Svend245167 40.81
262 Lobron, Eric245054 21.23
263 Kaufman, Larry C245075 33.71
264 Kindermann, Stefan245058 21.59
265 Hausner, Ivan245056 29.29
266 Kogan, Boris244961
267 Garcia, Raimundo244875 45.18
268 Azmaiparashvili, Zurab A244773 21.37
269 Hug, Werner244661 28.89
270 Bjelajac, Milan244668 33.38
271 Westerinen, Heikki MJ244552 37.26
272 Szekely, Peter244560 26.48
273 García Gonzáles, Guillermo244554 27.64
274 Mariotti, Sergio244556 34.97
275 Ungureanu, Emil244575 44.75
276 Langeweg, Kick244350 44.40
277 Martinovic, Slobodan244354 36.02
278 Schweber, Samuel244360 45.04
279 Lederman, Leon244369 34.18
280 Cramling, Dan244362 22.49
281 Wockenfuss, Klaus244265 29.92
282 Wirthensohn, Heinz244258 30.24
283 Vadasz, Laszlo244253 33.51
284 Planinc, Albin244264 37.29
285 Rodriguez, Ruben244163 34.65
286 Lengyel, Laszlo244175 37.06
287 Kestler, Hans-Günter244162 41.63
288 Pribyl, Josef244153 33.80
289 Haik, Aldo244159 28.78
290 Rath, Ulrik244069 34.60
291 Makropoulos, Georgios244057 27.84
292 Joksic, Sinisa244070 40.81
293 Mokrý, Karel243971 22.48
294 Raicevic, Vladimir243956 32.24
295 Kudrin, Sergey243959 21.90
296 Duer, Arne243862 22.06
297 Uusi, Gunnar243763
298 Luczak, Andrzej243752 32.65
299 Hoelzl, Franz243756 35.32
300 Hennings, Artur243762 41.05
301 Garcia, Gildardo243764 27.39
302 Sahovic, Dragutin243658 40.97
303 Vooremaa, Andres243662 37.03
304 Kuligowski, Adam243652 25.60
305 Plaskett, Jim243664 21.37
306 Adamski, Jan243552 37.72
307 Short, Nigel D243457 16.16
308 Rodriguez Vargas, Orestes243461 38.07
309 Qi Jingxuan243370 33.73
310 Spiridonov, Nikola243354 43.42
311 Ostermeyer, Peter243370 37.80
312 Debarnot, Roberto243266 33.98
313 Toth, Bela243257 38.28
314 Liebert, Heinz243274 45.19
315 Sideif Sade, Fikret I243260 29.58
316 Strauss, David J243265 34.98
317 Bohm, Hans243152 31.54
318 Minev, Nikolay N243075 50.56
319 Sydor, Andrzej243069 44.58
320 Pomar Salamanca, Arturo242969 49.91
321 Garcia Martinez, Silvino242959 37.07
322 Antunac, Goran242966 36.29
323 Fedorowicz, John P242853 22.84
324 Bielczyk, Jacek242855 28.44
325 Pytel, Krzysztof242858 36.21
326 Ornstein, Axel242853 29.27
327 Ostojic, Predrag242769 43.44
328 Shirazi, Kamran G242763 28.69
329 Despotovic, Momcilo242761 33.41
330 Lakic, Nikola242761 34.04
331 Brinck Claussen, Bjorn242657
332 Gruenberg, Hans Ulrich242655 25.56
333 Mestrovic, Zvonimir242665 36.79
334 Sokolov, Andrey Y242665 18.36
335 Jamieson, Robert Murray242567
336 Doda, Zbigniew242471 50.44
337 Clemens, Christian242475 40.98
338 Zichichi, Alvise242459 43.07
339 Zivanovic, Ivan242366 18.33
340 Botterill, George Steven242363
341 Augustin, Josef242358 39.20
342 Gerusel, Mathias242270 43.49
343 Arnason, Jon L242252 20.72
344 Jakobsen, Ole242155 38.78
345 Flesch, Janos242063 47.84
346 Prandstetter, Eduard242052 32.63
347 McCambridge, Vincent242061 21.40
348 Honfi, Karoly241964 50.77
349 Trapl, Jindrich241967 39.35
350 Tompa, Janos241962 34.25
351 Matera, Salvatore Joseph241970
352 Kuijpers, Franciscus Antonius241872
353 Enklaar, Bertus F241766
354 Trifunov, Dimitar241768 17.57
355 Arbakov, Valentin241663 29.51
356 Hase, Juan Carlos241665
357 Helmers, Knut J241560 24.48
358 Law, Andrew P241563 31.06
359 Rocha, Antonio241474 37.13
360 Lau, Ralf241469 21.78
361 Hansson, Dan241369 29.14
362 Ioseliani, Nana241263 19.47
363 Franco Ocampos, Zenon241262 25.22
364 Renman, Nils Gustaf241164
365 Bohosjan, Sarkis241175 40.34
366 Harandi, Khosro241167 30.91
367 Watson, John L241160 29.90
368 Borik, Otto241154 33.85
369 Goodman, David SC241070
370 Alexandria, Nana241063 31.80
371 Mascarinas, Rico241059 28.41
372 Kristiansen, Jens241056 29.18
373 Balinas, Rosendo Carrean240964
374 Rubinetti, Jorge A240959 36.33
375 Pétursson, Margeir240953 21.46
376 Bellin, Robert240854 29.09
377 Sisniega, Marcel240873 22.01
378 Ciric, Dragoljub M240870 45.72
379 Velickovic, Sasa240862 30.33
380 Rantanen, Yrjo A240856 31.27
381 Pritchett, Craig William240865
382 Van der Sterren, Paul240653 25.37
383 Cuartas, Carlos240661 40.95
384 Sznapik, Aleksander240651 30.47
385 Krnic, Zdenko240660 33.83
386 Osmanovic, Kemal240567 40.40
387 Spraggett, Kevin B240569 26.72
388 Moehring, Guenther240558 44.68
389 Webb, Simon240567 32.14
390 Welin, Thomas240566 21.90
391 Djukic, Zeljko240565 22.13
392 Filipovic, Branko240469 23.82
393 Fedder, Steen240463 30.13
394 Kunsztowicz, Uwe240459 37.54
395 Pokojowczyk, Jerzy240353 32.44
396 Morris, Walter D240264 22.91
397 Szymczak, Zbigniew240158 29.57
398 Franklin, Michael J240167 50.49
399 Przewoznik, Jan240057 23.87
400 Bednarski, Jacek B240059 42.38
401 Hoi, Carsten240054 24.54
402 Kelecevic, Nedeljko240059 34.39
403 Vilela, Jose Luis239953 28.37
404 Cvetkovic, Srdjan239959 35.42
405 Danner, Georg239858 34.76
406 Tischbierek, Raj239855 18.85
407 Nun, Jiri239864 24.01
408 Budde, Vladimir239863 28.60
409 Ost Hansen, Jacob239867
410 Barle, Janez239767 29.36
411 Radev, Nikolai239761 42.62
412 Tisdall, Jonathan D239765 22.92
413 Bukal, Vladimir Sr239766 41.75
414 Tomaszewski, Roman239658 21.21
415 Vinje Gulbrandsen, Arne239675
416 Vetemaa, Juri239675 24.92
417 Mortensen, Erling239655 26.32
418 Banas, Jan239653 34.16
419 Zapata, Alonso239562 22.94
420 Sjoberg, Mats239566 22.72
421 Emma, Jaime J239463 43.54
422 Bouaziz, Slim239365 31.29
423 Olafsson, Helgi239356 24.95
424 Cabrilo, Goran239155 23.08
425 Deze, Anton239167
426 Fries Nielsen, Jens Ove239156 21.44
427 Hebert, Jean239056 23.72
428 De Bruycker, Bernard238976 40.13
429 Filipowicz, Andrzej238964 43.22
430 Van Riemsdijk, Herman C238959 32.92
431 Schoeneberg, Manfred238968 35.07
432 Ravikumar, Vaidyanathan238858 21.60
433 Reefschlaeger, Helmut238870 37.31
434 Dueckstein, Andreas238867 53.99
435 Lombard, Andre238876 30.87
436 Swic, Waldemar238761 28.39
437 Scheeren, Peter238762 26.00
438 Bronstein, Luis238762 35.16
439 Balshan, Amikam238669
440 Horvath, Tamas238555 29.77
441 Petran, Pal238557 34.88
442 Gruchacz, Robert238473 27.67
443 Littlewood, Paul E238458 25.54
444 Coudari, Camille238375 30.01
445 Skrobek, Ryszard238359 30.07
446 Rumens, David E238367 41.86
447 Biriescu, Ioan238371 27.76
448 Herzog, Adolf238358 28.15
449 Donchev, Dimitar I238268 23.03
450 Kagan, Shimon238158 39.32
451 Flear, Glenn C238067 22.47
452 Danailov, Silvio238067 20.28
453 Wilder, Michael238064 18.87
454 Hansen, Curt238061 16.87
455 Janoševic, Dragoljub237966 58.06
456 Bator, Zbigniew237971 29.66
457 Brondum, Eric237862 39.62
458 Neckar, Lubomir237860 30.99
459 Ernst, Thomas237862 20.95
460 Nogueiras, Jesus237869 22.04
461 Gauglitz, Gernot237762 19.09
462 Lukov, Valentin237759 25.64
463 Akesson, Ralf237665 20.48
464 Dobosz, Henryk237654 28.36
465 Odendahl, Steven M237569 21.77
466 Borm, Franciscus WM237567
467 Cuasnicu, Oscar237475 38.77
468 Jamroz, Zbigniew237469 47.14
469 Garcia Palermo, Carlos237465 27.66
470 Whiteley, Andrew J237474 34.14
471 Watzka, Horst237374 42.88
472 Gonsior, Evzen237366 49.65
473 Bastian, Herbert237368 28.64
474 Hartoch, Robert G237259
475 Pavlov, Mircea237156 43.88
476 Arapovic, Vitomir237164 29.61
477 Sapi, Laszlo237162 46.36
478 Barlov, Dragan237160 24.50
479 Cording, Harm237073 44.56
480 Filguth, Rubens A237063 25.35
481 Nicevski, Risto237057 36.09
482 Fernandez Garcia, Jose Luis236965 27.24
483 Bergstrom, Christer236874 22.84
484 Sloth, Jorn236863 36.90
485 Segal, Alexandru Sorin236865 33.82
486 Iskov, Gert236853 33.01
487 Kaiszauri, Konstanty236860 28.77
488 Soos, Bela236867 51.40
489 Bellon Lopez, Juan Manuel236653 31.23
490 Rossetto, Héctor D236574 58.90
491 Kristensen, Bjarke236458 25.31
492 Jacobsen, Bo236472 32.63
493 Day, Lawrence A236458 32.50
494 Schinzel, Wladyslaw236454 38.19
495 Frias, Victor J236464 25.47
496 Fuller, Maxwell L236358 36.51
497 Tiller, Bjorn236272 22.54
498 Adamski, Andrzej236267 42.55
499 Hebden, Mark236264 23.46
500 Partos, Charles236268 44.97

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