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Top 10 active players as of June 30, 1981


Top 500 active players as of June 30, 1981

  #  

Player Rating +/- Best? 75%? Age
1 Karpov, Anatoly E27764939.9% #430.10
2 Korchnoi, Viktor L27614927.0% #550.27
3 Kasparov, Garry K27265210.2% #1218.21
4 Timman, Jan H2707474.0% #1729.54
5 Portisch, Lajos2692482.3% #2344.24
6 Polugaevsky, Lev A2685491.7% #2646.61
7 Tal, Mikhail2684491.8% #2644.64
8 Hübner, Robert2682501.7% #2932.65
9 Spassky, Boris V2673501.1% #3344.42
10 Beliavsky, Alexander G2672490.9% #3327.54
11 Larsen, Bent2665480.7% #3746.32
12 Romanishin, Oleg M2662490.6% #3829.47
13 Petrosian, Tigran V2658510.6% #4252.04
14 Gulko, Boris F2656560.9% #4534.39
15 Andersson, Ulf2655480.4% #4230.01
16 Balashov, Yury S2653490.4% #4432.30
17 Psakhis, Lev B2650530.5% #4822.59
18 Dolmatov, Sergey V2650520.3% #4822.36
19 Jussupow, Artur M2643510.3% #5221.38
20 Sosonko, Gennadi2642490.2% #5238.12
21 Tseshkovsky, Vitaly V2641490.2% #5236.76
22 Ribli, Zoltán2641500.2% #5329.81
23 Hort, Vlastimil2640480.2% #5337.47
24 Smyslov, Vassily V2639520.2% #5660.27
25 Ljubojevic, Ljubomir2636490.1% #5630.66
26 Vaganian, Rafael A2630490.1% #6129.71
27 Mikhalchishin, Adrian B2629550.2% #6526.62
28 Sveshnikov, Evgeny E2627510.1% #6431.38
29 Geller, Efim P2623510.1% #6756.33
30 Gheorghiu, Florin2623500.1% #6737.23
31 Miles, Anthony J262248 #6726.19
32 Kavalek, Lubomir262150 #6837.89
33 Bronstein, David I2619540.1% #7357.36
34 Kholmov, Ratmir D2617620.3% #7956.13
35 Kupreichik, Viktor D2617530.1% #7431.98
36 Gufeld, Eduard E2614530.1% #7645.28
37 Kuzmin, Gennady P260951 #8035.45
38 Gipslis, Aivars2607590.1% #8644.39
39 Makarichev, Sergey Y260452 #8527.62
40 Dvoretsky, Mark I2602730.5% #10033.56
41 Christiansen, Larry M260251 #8625.01
42 Rashkovsky, Nukhim N260151 #8735.20
43 Lerner, Konstantin Z260054 #8931.34
44 Seirawan, Yasser260051 #8721.27
45 Vasiukov, Evgeny A259953 #9048.32
46 Parma, Bruno259858 #9339.50
47 Eingorn, Viacheslav S2597610.1% #9624.60
48 Dzindzichashvili, Roman Y2596570.1% #9537.15
49 Savon, Vladimir A259455 #9640.76
50 Tarjan, James E259357 #9829.36
51 Dorfman, Iosif D259353 #9629.16
52 Smejkal, Jan259351 #9535.27
53 Kurajica, Bojan259254 #9733.62
54 Gligoric, Svetozar259152 #9758.41
55 Palatnik, Semen A2590720.3% #11131.26
56 Sax, Gyula259050 #9730.03
57 Panchenko, Alexander N258953 #9827.73
58 Taimanov, Mark E258756 #10255.40
59 Ivanov, Igor V2586610.1% #10734.48
60 Petrosian, Arshak B258659 #10627.54
61 Averbakh, Yury L2585700.2% #11359.39
62 Alburt, Lev O258453 #10435.86
63 Bagirov, Vladimir K258254 #10744.87
64 Kochiev, Alexander258258 #10925.26
65 Uhlmann, Wolfgang257951 #10646.25
66 Razuvaev, Yury S257950 #10835.72
67 Georgadze, Tamaz V257852 #10933.64
68 Nunn, John D M257751 #10826.18
69 Browne, Walter S257650 #10932.47
70 Unzicker, Wolfgang257556 #11456.01
71 Ivkov, Borislav257150 #11547.63
72 Ftácnik, Lubomír257051 #11623.67
73 Szabó, László2570720.1% #12964.28
74 Veingold, Aleksander257061 #12227.72
75 Evans, Larry M256964 #12549.27
76 Lein, Anatoly256951 #11750.26
77 Tseitlin, Mikhail S256756 #12234.04
78 Vitolinš, Alvis256665 #12935.04
79 Ubilava, Elizbar E2566710.1% #13230.84
80 Adorján, András256551 #12031.25
81 Liberzon, Vladimir M256152 #12544.27
82 Kapengut, Albert Z255867 #13836.98
83 Kharitonov, Andrey Y255763 #13522.24
84 Didishko, Vereslav2557730.1% #14132.22
85 Olafsson, Fridrik255656 #13246.43
86 Vyzmanavin, Alexey255665 #13621.49
87 Tukmakov, Vladimir B255654 #13135.29
88 Najdorf, Miguel255655 #13171.21
89 Darga, Klaus V255469 #14247.35
90 Byrne, Robert E255254 #13553.19
91 Csom, István255050 #13541.08
92 Panno, Oscar R255053 #13646.29
93 Kremenetsky, Anatoly M254965 #14342.46
94 Torre, Eugenio254949 #13429.65
95 Tringov, Georgy P254958 #13944.31
96 Nemet, Ivan254861 #14238.21
97 Quinteros, Miguel A254750 #13733.51
98 Grigorian, Karen A254659 #14333.81
99 Gurgenidze, Bukhuti I254471 #15147.63
100 Knaak, Rainer F254349 #14028.29
101 Lombardy, William J254359 43.57
102 Timoshchenko, Gennady254260 32.17
103 Faragó, Iván254250 35.24
104 Filip, Miroslav254168 52.67
105 Shamkovich, Leonid A254153 58.08
106 Matanovic, Aleksandar254062 51.10
107 Pfleger, Helmut254059 37.90
108 Speelman, Jonathan S253951 24.74
109 Pachmann, Ludek253965 57.13
110 Cebalo, Mišo253957 36.40
111 Murey, Yakov253768 39.91
112 Kovacevic, Vladimir253663 39.26
113 Stean, Michael F253552 27.82
114 Nei, Iivo253461 49.66
115 Bukic, Enver253257 43.58
116 Ree, Hans253249 36.79
117 Simic, Radoslav253256 33.06
118 Velimirovic, Dragoljub253053 39.13
119 Kaplan, Julio P252967 30.92
120 Vogt, Lothar H252849 29.45
121 Chekhov, Valery A252855 25.59
122 Ivanov, Alexander V252658 25.16
123 Yurtaev, Leonid252669 22.16
124 Rogoff, Kenneth S252667 28.27
125 Nikolac, Juraj252361 49.19
126 Keene, Raymond252352
127 Lputian, Smbat G252355 23.38
128 Pintér, József252253 27.64
129 Suba, Mihai252155 34.08
130 Matulovic, Milan252060 46.05
131 van der Wiel, John T H251951 21.89
132 Gorelov, Sergey G251964 23.87
133 Klovans, Janis251963 46.22
134 Vukic, Milan251656 37.86
135 Suetin, Alexey S251352 54.62
136 Shereshevsky, Mikhail I251373 31.19
137 Magerramov, Elmar S251358 23.22
138 Marjanovic, Slavoljub251355 26.48
139 Ivanovic, Božidar251353 34.85
140 Zaitsev, Igor A251056 43.09
141 Agzamov, Georgy T251060 26.81
142 Anikaev, Yury250965 33.00
143 Kakageldyev, Amanmurad250875 31.51
144 Popovic, Petar250855 22.38
145 Díez del Corral, Jesús250858 48.23
146 Gruenfeld, Yehuda250755 25.34
147 Stoica, Valentin250765 31.37
148 Espig, Lutz250751 32.48
149 Malich, Burkhard G250656 44.59
150 Marovic, Dražen250662 43.46
151 Biyiasas, Peter250356 30.61
152 Schmidt, Wlodzimierz250250 38.22
153 Karner, Hillar250162 45.92
154 Bleiman, Yaacov250172 33.81
155 Mnatsakanian, Eduard A250064 42.56
156 Reshevsky, Samuel H249962 69.59
157 Radulov, Ivan249856 42.48
158 Barczay, Laszlo249751 45.36
159 Benko, Pal C249761 52.95
160 Lukacs, Peter249751 30.97
161 Vorotnikov, Vladislav V249676 33.87
162 Zaltsman, Vitaly F249659 39.68
163 Burger, Karl249658 48.44
164 Bilek, István249566 48.88
165 Moiseev, Oleg L249569 56.15
166 Padevsky, Nikola B249366 48.09
167 Gavrikov, Victor N249365 23.91
168 Popov, Luben249254 45.42
169 Tatai, Stefano249256 43.27
170 Nikolic, Zivoslav249262 27.55
171 Vera, Reynaldo249264 20.48
172 Řgaard, Leif249263 29.48
173 Sturua, Zurab249168 22.06
174 Chandler, Murray G249151 21.24
175 Jansson, Borje249174 39.30
176 Ermenkov, Evgenij249153 31.75
177 Kraidman, Yair249072 48.66
178 Lechtynsky, Jiri248853 33.60
179 Antoshin, Vladimir S248859 52.13
180 Knezevic, Milorad248853 44.66
181 Sigurjónsson, Gudmundur248754 33.76
182 Plachetka, Jan248750 36.37
183 Ciocaltea, Victor248652 49.45
184 Georgiev, Krum248660 23.10
185 Vaisser, Anatoli248672 32.32
186 Petrushin, Alexander I248561 34.30
187 Robatsch, Karl248561 52.71
188 Peters, John A248555 30.39
189 Grefe, John A248462 33.81
190 Lutikov, Anatoly S248466 48.40
191 Regan, Kenneth248467 21.80
192 Donner, Johannes H248455 53.98
193 Rukavina, Josip248266 38.59
194 Cámpora, Daniel H248159 23.99
195 Meduna, Eduard248152 30.80
196 Calvo Minguez, Ricardo248065 37.69
197 Birnboim, Nathan247966 30.59
198 Velikov, Petar247956 30.25
199 Andrianov, Nikolai247963 19.53
200 Ligterink, Gert247951 31.62
201 Nikolic, Predrag247859 20.80
202 Mednis, Edmar J247859 44.27
203 Schneider, Lars Ake247855
204 Rogulj, Branko247761 29.91
205 Buturin, Vladimir247765 37.61
206 Inkiov, Ventzislav247456 25.11
207 Chiburdanidze, Maia G247353 20.45
208 Hulak, Krunoslav247261 30.10
209 Minic, Dragoljub247272 44.32
210 Jansa, Vlastimil247250 38.59
211 Hecht, Hans-Joachim246964 42.42
212 Portisch, Ferenc246955 42.22
213 Djuric, Stefan246853 25.92
214 Wedberg, Tom246756 27.59
215 Ambroz, Jan246756 27.03
216 Hartston, William R246657 33.88
217 Platonov, Igor V246662 47.45
218 Vokác, Marek246659 22.56
219 Mestel, A Jonathan246652 24.30
220 Sunye Neto, Jaime246553 24.16
221 Vranesic, Zvonko246573 42.74
222 Van Wijgerden, Cornelis246560 31.10
223 Rodriguez, Amador246461 24.81
224 Piasetski, Leon David246370
225 Groszpeter, Attila246353 21.06
226 Bisguier, Arthur B246363 51.73
227 Podzielny, Karl Heinz246363 26.80
228 Zaichik, Gennady L246368 24.38
229 Hazai, Laszlo246252 28.04
230 Bradford, Joseph M246263 30.66
231 Rajkovic, Dusan246255 39.04
232 Mariotti, Sergio246258 34.89
233 Gaprindashvili, Nona246067 40.16
234 Feustel, Bernd246061 26.78
235 Soltis, Andrew E246065 34.09
236 Spassov, Liuben246050 38.27
237 Bönsch, Uwe246051 22.71
238 Hernandez, Roman245961 31.60
239 Ghinda, Mihail Viorel245853 31.92
240 Szmetan, Jorge245759 31.09
241 Gutman, Lev245766 35.76
242 Damjanovic, Mato245765 54.27
243 Diesen, Mark C245764
244 Wittmann, Walter245761 33.30
245 Lengyel, Levente245757 48.05
246 Kestler, Hans-Günter245771 41.55
247 Ghitescu, Theodor245759 47.43
248 Forintos, Gyözö V245758 45.91
249 Mochalov, Evgeny V245669 29.67
250 Castro Rojas, Oscar Humberto245562 28.14
251 Klaric, Zlatko245460 24.68
252 Myagmarsuren, Lhamsuren245475 43.37
253 Taulbut, Shaun M245358 23.47
254 Ekstroem, Roland245373 25.11
255 Taruffi, Daniele245365 22.82
256 Hamann, Svend245267 40.73
257 Karlsson, Lars245153 25.96
258 Kaufman, Larry C245175 33.62
259 Hausner, Ivan245056 29.21
260 Garcia, Raimundo244875 45.09
261 Hug, Werner244859 28.80
262 Azmaiparashvili, Zurab A244773 21.29
263 Ornstein, Axel244754 29.18
264 Bjelajac, Milan244768 33.29
265 Cramling, Dan244661 22.40
266 Szekely, Peter244660 26.39
267 García Gonzáles, Guillermo244654 27.56
268 Schussler, Harry244654 24.02
269 Ungureanu, Emil244575 44.66
270 Honfi, Karoly244576 50.68
271 Kirov Ivanov, Nino244551 35.81
272 Henley, Ron W244559 24.57
273 Langeweg, Kick244450 44.31
274 Martinovic, Slobodan244454 35.92
275 Schweber, Samuel244460 44.95
276 Lederman, Leon244469 34.10
277 Planinc, Albin244264 37.20
278 Vadasz, Laszlo244253 33.42
279 Lengyel, Laszlo244275 36.96
280 Jakobsen, Ole244156 38.70
281 Haik, Aldo244159 28.70
282 Pribyl, Josef244153 33.72
283 Rath, Ulrik244169 34.51
284 Makropoulos, Georgios244157 27.76
285 Joksic, Sinisa244070 40.72
286 Raicevic, Vladimir244056 32.16
287 Duer, Arne243962 21.96
288 Zichichi, Alvise243861 42.98
289 Uusi, Gunnar243863
290 Luczak, Andrzej243852 32.57
291 deFirmian, Nicholas E243856 23.92
292 Hoelzl, Franz243856 35.23
293 Hennings, Artur243862 40.96
294 Garcia, Gildardo243764 27.31
295 Westerinen, Heikki MJ243753 37.17
296 Sahovic, Dragutin243758 40.89
297 Vooremaa, Andres243762 36.94
298 Kuligowski, Adam243652 25.52
299 Plaskett, Jim243664 21.28
300 Fedorowicz, John P243654 22.76
301 Adamski, Jan243552 37.63
302 Rodriguez Vargas, Orestes243561 37.98
303 Qi Jingxuan243470 33.64
304 Spiridonov, Nikola243454 43.34
305 Ostermeyer, Peter243370 37.72
306 Debarnot, Roberto243366 33.90
307 Liebert, Heinz243374 45.10
308 Sideif Sade, Fikret I243260 29.49
309 Toth, Bela243260 38.20
310 Strauss, David J243265 34.90
311 Bohm, Hans243252 31.46
312 Minev, Nikolay N243075 50.48
313 Sydor, Andrzej243069 44.49
314 Pétursson, Margeir242954 21.37
315 Garcia Martinez, Silvino242959 36.98
316 Pomar Salamanca, Arturo242969 49.83
317 Antunac, Goran242966 36.20
318 Bielczyk, Jacek242955 28.35
319 Pytel, Krzysztof242858 36.12
320 Brinck Claussen, Bjorn242857
321 Ostojic, Predrag242771 43.36
322 Shirazi, Kamran G242763 28.61
323 Despotovic, Momcilo242761 33.32
324 Lakic, Nikola242761 33.95
325 Gruenberg, Hans Ulrich242755 25.47
326 Mestrovic, Zvonimir242765 36.70
327 Jamieson, Robert Murray242667
328 Sokolov, Andrey Y242565 18.28
329 Doda, Zbigniew242571 50.36
330 Rantanen, Yrjo A242558 31.19
331 Svensson, Bengt242574 20.97
332 Clemens, Christian242475 40.90
333 Zivanovic, Ivan242466 18.25
334 Botterill, George Steven242463
335 Augustin, Josef242358 39.12
336 Borik, Otto242356 33.76
337 Gerusel, Mathias242270 43.40
338 Arnason, Jon L242252 20.63
339 Wockenfuss, Klaus242171 29.84
340 Flesch, Janos242163 47.75
341 Prandstetter, Eduard242052 32.54
342 Kristiansen, Jens242056 29.10
343 Trapl, Jindrich242067 39.27
344 Balinas, Rosendo Carrean242070
345 Tompa, Janos242062 34.17
346 Matera, Salvatore Joseph241970
347 Kuijpers, Franciscus Antonius241972
348 Lobron, Eric241954 21.15
349 Rodriguez, Ruben241868 34.56
350 Enklaar, Bertus F241866
351 Trifunov, Dimitar241768 17.48
352 Hase, Juan Carlos241665
353 Arbakov, Valentin241663 29.42
354 Kunsztowicz, Uwe241660 37.45
355 Law, Andrew P241563 30.97
356 Rocha, Antonio241574 37.05
357 Lau, Ralf241469 21.70
358 Bednarski, Jacek B241462 42.30
359 Hansson, Dan241369 29.05
360 Franco Ocampos, Zenon241362 25.13
361 Ioseliani, Nana241363 19.38
362 Renman, Nils Gustaf241263
363 Wirthensohn, Heinz241261 30.15
364 Bohosjan, Sarkis241275 40.26
365 Harandi, Khosro241267 30.83
366 Watson, John L241160 29.82
367 Goodman, David SC241170
368 Mascarinas, Rico241159 28.33
369 Alexandria, Nana241163 31.71
370 Rubinetti, Jorge A240959 36.25
371 Sisniega, Marcel240973 21.92
372 Bellin, Robert240954 28.99
373 Welin, Thomas240964 21.82
374 Ciric, Dragoljub M240870 45.63
375 Velickovic, Sasa240862 30.24
376 Pritchett, Craig William240865
377 Van der Sterren, Paul240753 25.29
378 Sznapik, Aleksander240651 30.39
379 Osmanovic, Kemal240667 40.31
380 Kogan, Boris240673
381 Krnic, Zdenko240660 33.74
382 Spraggett, Kevin B240669 26.64
383 Moehring, Guenther240658 44.60
384 Webb, Simon240567 32.05
385 Djukic, Zeljko240565 22.05
386 Filipovic, Branko240469 23.73
387 Fedder, Steen240463 30.04
388 Pokojowczyk, Jerzy240353 32.36
389 Morris, Walter D240264 22.83
390 Short, Nigel D240259 16.08
391 Budde, Vladimir240165 28.52
392 Szymczak, Zbigniew240158 29.49
393 Franklin, Michael J240167 50.41
394 Przewoznik, Jan240157 23.79
395 Kelecevic, Nedeljko240159 34.30
396 Vilela, Jose Luis240053 28.28
397 Kindermann, Stefan240060 21.51
398 Cvetkovic, Srdjan239959 35.34
399 Danner, Georg239958 34.68
400 Tischbierek, Raj239955 18.77
401 Nun, Jiri239864 23.92
402 Barle, Janez239867 29.27
403 Bukal, Vladimir Sr239866 41.66
404 Radev, Nikolai239861 42.53
405 Tisdall, Jonathan D239765 22.84
406 Mortensen, Erling239756 26.23
407 Sloth, Jorn239762 36.82
408 Tomaszewski, Roman239758 21.12
409 Vinje Gulbrandsen, Arne239675
410 Vetemaa, Juri239675 24.84
411 Kudrin, Sergey239668 21.81
412 Zapata, Alonso239562 22.86
413 Emma, Jaime J239563 43.45
414 Bouaziz, Slim239465 31.20
415 Helmers, Knut J239265 24.40
416 Deze, Anton239267
417 Cabrilo, Goran239255 22.99
418 Hebert, Jean239056 23.63
419 Iskov, Gert239055 32.92
420 Filipowicz, Andrzej239064 43.13
421 De Bruycker, Bernard239076 40.04
422 Van Riemsdijk, Herman C239059 32.84
423 Ravikumar, Vaidyanathan238958 21.51
424 Schoeneberg, Manfred238968 34.98
425 Cuartas, Carlos238963 40.87
426 Dueckstein, Andreas238967 53.91
427 Hoi, Carsten238957 24.45
428 Lombard, Andre238876 30.78
429 McCambridge, Vincent238864 21.31
430 Swic, Waldemar238861 28.30
431 Scheeren, Peter238862 25.91
432 Bronstein, Luis238762 35.08
433 Balshan, Amikam238669
434 Horvath, Tamas238555 29.69
435 Petran, Pal238557 34.79
436 Banas, Jan238553 34.07
437 Gruchacz, Robert238573 27.58
438 Littlewood, Paul E238458 25.45
439 Coudari, Camille238475 29.91
440 Rumens, David E238367 41.77
441 Skrobek, Ryszard238359 29.98
442 Herzog, Adolf238358 28.06
443 Donchev, Dimitar I238268 22.94
444 Kagan, Shimon238258 39.23
445 Olafsson, Helgi238159 24.87
446 Hansen, Curt238161 16.78
447 Flear, Glenn C238167 22.38
448 Danailov, Silvio238067 20.19
449 Wilder, Michael238064 18.79
450 Janoševic, Dragoljub238066 57.97
451 Bator, Zbigniew237971 29.57
452 Brondum, Eric237962 39.54
453 Bergstrom, Christer237971 22.76
454 Neckar, Lubomir237960 30.91
455 Nogueiras, Jesus237869 21.95
456 Gauglitz, Gernot237862 19.01
457 Lukov, Valentin237759 25.55
458 Fries Nielsen, Jens Ove237755 21.35
459 Dobosz, Henryk237654 28.28
460 Odendahl, Steven M237669 21.68
461 Borm, Franciscus WM237667
462 Cuasnicu, Oscar237575 38.68
463 Jamroz, Zbigniew237569 47.05
464 Garcia Palermo, Carlos237465 27.58
465 Whiteley, Andrew J237474 34.06
466 Watzka, Horst237474 42.80
467 Gonsior, Evzen237466 49.56
468 Hartoch, Robert G237259
469 Arapovic, Vitomir237264 29.53
470 Pavlov, Mircea237256 43.79
471 Sapi, Laszlo237162 46.28
472 Barlov, Dragan237160 24.42
473 Cording, Harm237173 44.47
474 Filguth, Rubens A237163 25.27
475 Nicevski, Risto237057 36.01
476 Fernandez Garcia, Jose Luis237065 27.16
477 Hess, Ralf237061 37.26
478 Bellon Lopez, Juan Manuel236953 31.14
479 Segal, Alexandru Sorin236962 33.74
480 Kaiszauri, Konstanty236860 28.68
481 Rigo, Janos236758 32.67
482 Kristensen, Bjarke236658 25.22
483 Jacobsen, Bo236572 32.55
484 Rossetto, Héctor D236574 58.81
485 Schinzel, Wladyslaw236554 38.11
486 Day, Lawrence A236558 32.41
487 Frias, Victor J236464 25.39
488 Fuller, Maxwell L236456 36.42
489 Tiller, Bjorn236372 22.45
490 Adamski, Andrzej236367 42.46
491 Hebden, Mark236264 23.37
492 Basman, Michael J236268 35.29
493 Root, Douglas236266 18.38
494 Lieb, Harald236170 46.51
495 Van der Vliet, Fredrik236159
496 Balcerowski, Witold236075 45.89
497 Rajna, George235963 34.38
498 Goehring, Karl Heinz235971
499 Giardelli, Sergio C235857 26.01
500 Wagman, Stuart235870 62.13

These ratings, calculated as of June 30, 1981, incorporate all games (against rated opponents) played in the time between July 1, 1980 and June 30, 1981, along with the ratings that were already calculated as of June 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 June 30, 1981. This represents the player's estimated strength on July 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 July 1, 1981. The +/- value represents the standard deviation of that estimate; the player's true strength on July 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 July 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 June 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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