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Top 10 active players as of May 31, 1981


Top 500 active players as of May 31, 1981

  #  

Player Rating +/- Best? 75%? Age
1 Karpov, Anatoly E27814840.5% #330.02
2 Korchnoi, Viktor L27715031.0% #450.19
3 Kasparov, Garry K27325210.7% #1118.13
4 Timman, Jan H2699472.3% #2029.46
5 Portisch, Lajos2692492.0% #2344.16
6 Beliavsky, Alexander G2687501.8% #2527.46
7 Polugaevsky, Lev A2678501.2% #2946.53
8 Hübner, Robert2678501.1% #3032.57
9 Spassky, Boris V2674511.1% #3144.34
10 Tal, Mikhail2669490.7% #3344.56
11 Jussupow, Artur M2665520.8% #3721.30
12 Romanishin, Oleg M2664490.6% #3629.39
13 Petrosian, Tigran V2658510.5% #4151.95
14 Psakhis, Lev B2655550.6% #4522.51
15 Andersson, Ulf2652480.2% #4329.92
16 Balashov, Yury S2651490.3% #4432.22
17 Tseshkovsky, Vitaly V2647490.2% #4736.68
18 Ribli, Zoltán2644500.3% #4929.73
19 Larsen, Bent2641480.1% #5046.24
20 Sosonko, Gennadi2641490.1% #5138.04
21 Dolmatov, Sergey V2640520.2% #5322.28
22 Smyslov, Vassily V2640520.2% #5360.19
23 Hort, Vlastimil2640480.1% #5137.39
24 Gulko, Boris F2636580.4% #6034.31
25 Vasiukov, Evgeny A2636550.3% #5848.24
26 Ljubojevic, Ljubomir2632490.1% #5830.58
27 Sveshnikov, Evgeny E2627510.1% #6231.30
28 Vaganian, Rafael A2623500.1% #6429.63
29 Kupreichik, Viktor D2620540.1% #6931.91
30 Kavalek, Lubomir262049 #6737.81
31 Lerner, Konstantin Z2619560.1% #7231.26
32 Gheorghiu, Florin261950 #6837.15
33 Kuzmin, Gennady P261951 #7035.37
34 Geller, Efim P2616510.1% #7156.25
35 Gufeld, Eduard E2613530.1% #7545.20
36 Kholmov, Ratmir D2613620.2% #8056.05
37 Miles, Anthony J261248 #7226.11
38 Mikhalchishin, Adrian B2610560.1% #7926.54
39 Rashkovsky, Nukhim N261052 #7635.12
40 Panchenko, Alexander N260654 #8127.65
41 Christiansen, Larry M260551 #8024.92
42 Gipslis, Aivars2605590.1% #8544.31
43 Dorfman, Iosif D260354 #8429.08
44 Savon, Vladimir A2602580.1% #8740.68
45 Chernin, Alexander M2602690.3% #9421.23
46 Eingorn, Viacheslav S2597600.1% #9324.52
47 Dvoretsky, Mark I2597730.4% #10133.48
48 Sax, Gyula259550 #8929.95
49 Parma, Bruno259456 #9339.42
50 Dzindzichashvili, Roman Y259457 #9437.07
51 Tarjan, James E259256 #9529.28
52 Ivanov, Igor V2591610.1% #9934.40
53 Gligoric, Svetozar259051 #9458.33
54 Bronstein, David I259057 #9857.28
55 Seirawan, Yasser259051 #9421.19
56 Makarichev, Sergey Y259054 #9627.54
57 Kochiev, Alexander258860 #10125.18
58 Petrosian, Arshak B258660 #10327.46
59 Taimanov, Mark E258558 #10255.32
60 Kurajica, Bojan258355 #10333.54
61 Alburt, Lev O258253 #10335.78
62 Georgadze, Tamaz V258153 #10333.56
63 Ivkov, Borislav257950 #10347.55
64 Unzicker, Wolfgang257955 #10655.92
65 Palatnik, Semen A2579710.1% #11731.18
66 Browne, Walter S257649 #10532.39
67 Nunn, John D M257451 #10926.10
68 Bagirov, Vladimir K257356 #11344.79
69 Smejkal, Jan257050 #11235.19
70 Razuvaev, Yury S256951 #11435.64
71 Veingold, Aleksander256861 #12027.64
72 Szabó, László2567720.1% #12864.20
73 Kapengut, Albert Z256466 #12836.91
74 Liberzon, Vladimir M256152 #12244.19
75 Adorján, András256151 #12131.17
76 Ftácnik, Lubomír256152 #12223.59
77 Lein, Anatoly256051 #12250.18
78 Tukmakov, Vladimir B255853 #12535.21
79 Uhlmann, Wolfgang255851 #12446.17
80 Didishko, Vereslav2556730.1% #13932.14
81 Olafsson, Fridrik255556 #12946.35
82 Darga, Klaus V255468 #13847.27
83 Evans, Larry M255360 #13349.19
84 Antoshin, Vladimir S255368 #13952.05
85 Najdorf, Miguel255255 #13171.13
86 Ubilava, Elizbar E255269 #14030.76
87 Panno, Oscar R255253 #13146.21
88 Torre, Eugenio254849 #13129.57
89 Shamkovich, Leonid A254852 #13457.99
90 Tringov, Georgy P254758 #13844.23
91 Quinteros, Miguel A254750 #13433.43
92 Byrne, Robert E254753 #13553.11
93 Tseitlin, Mikhail S254659 #13933.95
94 Knaak, Rainer F254649 #13428.21
95 Nemet, Ivan254561 #14238.13
96 Csom, István254450 #13640.99
97 Vitolinš, Alvis254259 #14334.95
98 Kharitonov, Andrey Y254263 #14622.16
99 Gurgenidze, Bukhuti I254071 #15147.55
100 Cebalo, Mišo253957 #14436.32
101 Matanovic, Aleksandar253962 51.02
102 Timoshchenko, Gennady253960 32.09
103 Filip, Miroslav253868 52.59
104 Magerramov, Elmar S253858 23.14
105 Kovacevic, Vladimir253763 39.18
106 Pfleger, Helmut253659 37.82
107 Ree, Hans253349 36.71
108 Stean, Michael F253352 27.74
109 Pachmann, Ludek253365 57.05
110 Velimirovic, Dragoljub253253 39.05
111 Speelman, Jonathan S253251 24.66
112 Nei, Iivo253161 49.58
113 Murey, Yakov253168 39.83
114 Bukic, Enver253057 43.50
115 Lombardy, William J252959 43.49
116 Grigorian, Karen A252856 33.73
117 Nikolac, Juraj252861 49.11
118 Faragó, Iván252750 35.16
119 Simic, Radoslav252459 32.97
120 Kaplan, Julio P252267 30.85
121 Matulovic, Milan252160 45.97
122 Chekhov, Valery A252058 25.51
123 Keene, Raymond252052
124 Gavrikov, Victor N252064 23.84
125 Yurtaev, Leonid251970 22.08
126 Rogoff, Kenneth S251961 28.19
127 Peresipkin, Vladimir251874
128 Ivanov, Alexander V251858 25.08
129 Klovans, Janis251562 46.14
130 Shereshevsky, Mikhail I251473 31.11
131 Vukic, Milan251456 37.78
132 Marjanovic, Slavoljub251354 26.40
133 Suba, Mihai251255 33.99
134 Weinstein, Norman251072 30.66
135 van der Wiel, John T H251050 21.81
136 Agzamov, Georgy T251060 26.73
137 Zaitsev, Igor A250956 43.01
138 Moiseev, Oleg L250970 56.07
139 Ivanovic, Božidar250853 34.77
140 Lputian, Smbat G250854 23.30
141 Pintér, József250854 27.56
142 Suetin, Alexey S250855 54.54
143 Vogt, Lothar H250750 29.37
144 Mnatsakanian, Eduard A250759 42.48
145 Malich, Burkhard G250660 44.51
146 Stoica, Valentin250565 31.29
147 Espig, Lutz250552 32.40
148 Popovic, Petar250555 22.30
149 Zaltsman, Vitaly F250557 39.60
150 Gruenfeld, Yehuda250455 25.26
151 Marovic, Dražen250462 43.38
152 Díez del Corral, Jesús250458 48.15
153 Benko, Pal C250258 52.88
154 Burger, Karl250258 48.36
155 Karner, Hillar250162 45.84
156 Bleiman, Yaacov250073 33.73
157 Anikaev, Yury249965 32.92
158 Biyiasas, Peter249655 30.53
159 Barczay, Laszlo249451 45.28
160 Bilek, István249467 48.80
161 Reshevsky, Samuel H249361 69.51
162 Tatai, Stefano249257 43.19
163 Schmidt, Wlodzimierz249251 38.14
164 Padevsky, Nikola B249266 48.01
165 Knezevic, Milorad249252 44.58
166 Vera, Reynaldo249264 20.40
167 Marangunic, Srdjan249169 37.58
168 Řgaard, Leif249163 29.40
169 Lukacs, Peter249152 30.89
170 Popov, Luben249055 45.34
171 Nikolic, Zivoslav249062 27.47
172 Radulov, Ivan249055 42.40
173 Kraidman, Yair248772 48.58
174 Vaisser, Anatoli248771 32.24
175 Jansson, Borje248674 39.22
176 Lechtynsky, Jiri248555 33.52
177 Ermenkov, Evgenij248353 31.67
178 Robatsch, Karl248360 52.63
179 Sigurjónsson, Gudmundur248354 33.68
180 Plachetka, Jan248350 36.29
181 Chandler, Murray G248351 21.16
182 Cámpora, Daniel H248363 23.92
183 Lutikov, Anatoly S248266 48.32
184 Grefe, John A248262 33.73
185 Donner, Johannes H248254 53.90
186 Sturua, Zurab248268 21.97
187 Hulak, Krunoslav248161 30.02
188 Rukavina, Josip248066 38.51
189 Georgiev, Krum247960 23.02
190 Calvo Minguez, Ricardo247965 37.61
191 Zuckerman, Bernard247974 38.17
192 Ciocaltea, Victor247953 49.37
193 Spassov, Liuben247851 38.19
194 Peters, John A247854 30.31
195 Mednis, Edmar J247858 44.19
196 Birnboim, Nathan247766 30.51
197 Forintos, Gyözö V247761 45.84
198 Regan, Kenneth247665 21.72
199 Vladimirov, Evgeny Y247675 24.36
200 Djuric, Stefan247655 25.85
201 Schneider, Lars Ake247555
202 Petrushin, Alexander I247560 34.22
203 Nikolic, Predrag247559 20.72
204 Ligterink, Gert247451 31.54
205 Ornstein, Axel247456 29.10
206 Makropoulos, Georgios247259 27.68
207 Rogulj, Branko247162 29.83
208 Wedberg, Tom247056 27.51
209 Vranesic, Zvonko246874 42.66
210 Minic, Dragoljub246772 44.24
211 Platonov, Igor V246662 47.37
212 Hartston, William R246557 33.80
213 Hecht, Hans-Joachim246563 42.34
214 Meduna, Eduard246453 30.72
215 Jansa, Vlastimil246450 38.51
216 Bisguier, Arthur B246460 51.65
217 Mestel, A Jonathan246452 24.22
218 Portisch, Ferenc246455 42.14
219 Ambroz, Jan246356 26.95
220 Sunye Neto, Jaime246352 24.08
221 Vokác, Marek246259 22.48
222 Bönsch, Uwe246252 22.63
223 Piasetski, Leon David246170
224 Van Wijgerden, Cornelis246158 31.02
225 Borik, Otto246058 33.68
226 Rajkovic, Dusan245956 38.95
227 Mariotti, Sergio245858 34.81
228 Langeweg, Kick245850 44.23
229 Gaprindashvili, Nona245867 40.08
230 Qi Jingxuan245766 33.56
231 Wittmann, Walter245761 33.22
232 Bradford, Joseph M245759 30.58
233 Jelen, Iztok245768 34.37
234 Hernandez, Roman245761 31.52
235 Klaric, Zlatko245660 24.60
236 Karlsson, Lars245652 25.89
237 Inkiov, Ventzislav245658 25.03
238 Szmetan, Jorge245559 31.01
239 Damjanovic, Mato245565 54.19
240 Ghitescu, Theodor245559 47.35
241 Gutman, Lev245566 35.68
242 Kirov Ivanov, Nino245551 35.73
243 Hazai, Laszlo245453 27.96
244 Szekely, Peter245463 26.31
245 Lengyel, Levente245457 47.96
246 Rodriguez, Amador245359 24.73
247 Podzielny, Karl Heinz245262 26.72
248 Hamann, Svend245268 40.65
249 Groszpeter, Attila245254 20.97
250 Taruffi, Daniele245165 22.74
251 Velikov, Petar245157 30.17
252 Ekstroem, Roland245173 25.03
253 Myagmarsuren, Lhamsuren245075 43.29
254 Kaufman, Larry C244975 33.54
255 Soltis, Andrew E244865 34.01
256 Haik, Aldo244858 28.62
257 Castro Rojas, Oscar Humberto244861 28.06
258 Taulbut, Shaun M244858 23.39
259 Ghinda, Mihail Viorel244754 31.85
260 Diesen, Mark C244763
261 Garcia, Raimundo244675 45.01
262 García Gonzáles, Guillermo244653 27.48
263 Hausner, Ivan244556 29.13
264 Bjelajac, Milan244568 33.21
265 Honfi, Karoly244474 50.60
266 Mochalov, Evgeny V244468 29.59
267 Zaichik, Gennady L244467 24.30
268 Hug, Werner244459 28.72
269 Cramling, Dan244361 22.32
270 Ungureanu, Emil244375 44.58
271 Chiburdanidze, Maia G244256 20.37
272 Kestler, Hans-Günter244270 41.47
273 Duer, Arne244259 21.89
274 Feustel, Bernd244260 26.70
275 Henley, Ron W244259 24.49
276 Planinc, Albin244163 37.12
277 Lederman, Leon244169 34.02
278 Sisniega, Marcel244167 21.84
279 Schweber, Samuel244160 44.87
280 Vadasz, Laszlo244152 33.34
281 Azmaiparashvili, Zurab A244073 21.21
282 Joksic, Sinisa243870 40.64
283 Zichichi, Alvise243861 42.91
284 Vooremaa, Andres243862 36.87
285 Schussler, Harry243754 23.93
286 Raicevic, Vladimir243756 32.08
287 Pribyl, Josef243753 33.64
288 Lengyel, Laszlo243775 36.89
289 Westerinen, Heikki MJ243753 37.09
290 Hoelzl, Franz243656 35.15
291 Rodriguez Vargas, Orestes243661 37.91
292 Garcia, Gildardo243564 27.23
293 Plaskett, Jim243464 21.20
294 Bohm, Hans243451 31.38
295 Jakobsen, Ole243356 38.62
296 Luczak, Andrzej243252 32.49
297 Rath, Ulrik243269 34.43
298 Spiridonov, Nikola243156 43.26
299 Hennings, Artur243162 40.89
300 Pomar Salamanca, Arturo243167 49.75
301 Ostermeyer, Peter243170 37.64
302 Sahovic, Dragutin243057 40.81
303 Strauss, David J243065 34.82
304 Pytel, Krzysztof242958 36.04
305 Kuligowski, Adam242952 25.44
306 Toth, Bela242960 38.12
307 Sydor, Andrzej242869 44.41
308 Minev, Nikolay N242875 50.40
309 Pétursson, Margeir242754 21.29
310 Debarnot, Roberto242765 33.82
311 Liebert, Heinz242774 45.02
312 Fedorowicz, John P242755 22.68
313 Sideif Sade, Fikret I242660 29.41
314 Antunac, Goran242666 36.12
315 Ostojic, Predrag242671 43.28
316 Adamski, Jan242553 37.55
317 Bielczyk, Jacek242555 28.27
318 Lakic, Nikola242561 33.87
319 Doda, Zbigniew242472 50.28
320 Clemens, Christian242375 40.82
321 Rantanen, Yrjo A242358 31.11
322 Balinas, Rosendo Carrean242369
323 Mestrovic, Zvonimir242365 36.62
324 Garcia Martinez, Silvino242258 36.91
325 Svensson, Bengt242274 20.90
326 Gruenberg, Hans Ulrich242255 25.39
327 Wockenfuss, Klaus242171 29.76
328 Rodriguez, Ruben242068 34.48
329 Jamieson, Robert Murray242067
330 Arnason, Jon L241953 20.55
331 Lobron, Eric241954 21.07
332 Martinovic, Slobodan241955 35.85
333 Matera, Salvatore Joseph241870
334 Prandstetter, Eduard241752 32.46
335 Augustin, Josef241758 39.04
336 Despotovic, Momcilo241767 33.24
337 Krnic, Zdenko241666 33.66
338 Kuijpers, Franciscus Antonius241672
339 Trapl, Jindrich241667 39.19
340 Trifunov, Dimitar241568 17.40
341 Vilela, Jose Luis241554 28.20
342 Kristiansen, Jens241557 29.02
343 Hase, Juan Carlos241565
344 Botterill, George Steven241362
345 Hebert, Jean241356 23.55
346 Sznapik, Aleksander241251 30.31
347 Uusi, Gunnar241263
348 Renman, Nils Gustaf241263
349 Tompa, Janos241262 34.09
350 Lau, Ralf241169 21.62
351 Franco Ocampos, Zenon241162 25.05
352 Hansson, Dan241169 28.97
353 Pritchett, Craig William241065
354 Ioseliani, Nana241063 19.30
355 Law, Andrew P240963 30.89
356 Bohosjan, Sarkis240975 40.18
357 Van der Sterren, Paul240952 25.21
358 Harandi, Khosro240967 30.75
359 Brinck Claussen, Bjorn240957
360 Welin, Thomas240964 21.74
361 Ciric, Dragoljub M240967 45.55
362 Bellin, Robert240954 28.92
363 deFirmian, Nicholas E240960 23.85
364 Watson, John L240960 29.74
365 Bednarski, Jacek B240961 42.22
366 Wirthensohn, Heinz240861 30.07
367 Rubinetti, Jorge A240759 36.17
368 Webb, Simon240767 31.97
369 Gerusel, Mathias240770 43.32
370 Kunsztowicz, Uwe240760 37.37
371 Goodman, David SC240670
372 Tisdall, Jonathan D240565 22.76
373 Velickovic, Sasa240562 30.16
374 Rocha, Antonio240473 36.96
375 Djukic, Zeljko240465 21.96
376 Filipovic, Branko240269 23.65
377 Morris, Walter D240164 22.75
378 Danailov, Silvio240167 20.11
379 Kogan, Boris240173
380 Barle, Janez240163 29.19
381 Short, Nigel D240159 15.99
382 Pokojowczyk, Jerzy240153 32.28
383 Moehring, Guenther240058 44.52
384 Vetemaa, Juri239775 24.76
385 Shirazi, Kamran G239763 28.53
386 Cvetkovic, Srdjan239759 35.26
387 Enklaar, Bertus F239662
388 Kudrin, Sergey239668 21.73
389 Spraggett, Kevin B239570 26.56
390 Szymczak, Zbigniew239558 29.41
391 Bukal, Vladimir Sr239566 41.58
392 Mascarinas, Rico239566 28.25
393 Nun, Jiri239464 23.84
394 Sloth, Jorn239462 36.74
395 Radev, Nikolai239461 42.45
396 Vinje Gulbrandsen, Arne239475
397 Tomaszewski, Roman239358 21.04
398 Flear, Glenn C239367 22.30
399 Dueckstein, Andreas239367 53.83
400 Emma, Jaime J239263 43.37
401 Fedder, Steen239263 29.96
402 Van Riemsdijk, Herman C239259 32.76
403 De Savornin Lohman, A.239269
404 Zapata, Alonso239162 22.78
405 Tischbierek, Raj239159 18.69
406 Iskov, Gert239155 32.84
407 Helmers, Knut J238965 24.32
408 Bouaziz, Slim238965 31.12
409 Odendahl, Steven M238968 21.60
410 Littlewood, Paul E238857 25.37
411 Filipowicz, Andrzej238864 43.05
412 Deze, Anton238867
413 Danner, Georg238757 34.60
414 McCambridge, Vincent238664 21.23
415 Cabrilo, Goran238558 22.91
416 Schoeneberg, Manfred238568 34.90
417 Lombard, Andre238475 30.70
418 Hansen, Curt238461 16.70
419 Bronstein, Luis238461 34.99
420 Balshan, Amikam238469
421 Swic, Waldemar238361 28.22
422 Franklin, Michael J238366 50.33
423 Przewoznik, Jan238357 23.71
424 Mortensen, Erling238356 26.15
425 Kelecevic, Nedeljko238265 34.22
426 Horvath, Tamas238255 29.61
427 Banas, Jan238253 33.99
428 Herzog, Adolf238158 27.98
429 Pavlov, Mircea238160 43.71
430 Skrobek, Ryszard238159 29.91
431 Petran, Pal238157 34.71
432 Rumens, David E237967 41.69
433 Hoi, Carsten237958 24.37
434 Bergstrom, Christer237971 22.68
435 Cuartas, Carlos237962 40.79
436 Kagan, Shimon237858 39.15
437 Olafsson, Helgi237859 24.79
438 Borm, Franciscus WM237762
439 Janoševic, Dragoljub237766 57.90
440 Bellon Lopez, Juan Manuel237754 31.06
441 Yermolinsky, Alex V237673 23.14
442 De Bruycker, Bernard237676 39.95
443 Wilder, Michael237664 18.71
444 Jacobsen, Bo237574 32.47
445 Donchev, Dimitar I237568 22.86
446 Visier Segovia, Fernando237576 38.33
447 Lukov, Valentin237559 25.47
448 Cording, Harm237373 44.39
449 Bator, Zbigniew237371 29.49
450 Cuasnicu, Oscar237375 38.60
451 Gauglitz, Gernot237362 18.92
452 Garcia Palermo, Carlos237365 27.50
453 Gruchacz, Robert237272 27.50
454 Nicevski, Risto237258 35.92
455 Neckar, Lubomir237160 30.83
456 Arapovic, Vitomir237165 29.45
457 Segal, Alexandru Sorin237161 33.66
458 Whiteley, Andrew J237074 33.97
459 Kaiszauri, Konstanty236960 28.60
460 Sapi, Laszlo236962 46.20
461 Fries Nielsen, Jens Ove236955 21.27
462 Barlov, Dragan236960 24.34
463 Fernandez Garcia, Jose Luis236965 27.08
464 Hartoch, Robert G236859
465 Rakic, Tomislav236862 46.55
466 Day, Lawrence A236758 32.33
467 Gonsior, Evzen236764 49.48
468 Budde, Vladimir236764 28.44
469 Hess, Ralf236661 37.18
470 Watzka, Horst236574 42.72
471 Dobosz, Henryk236353 28.20
472 Ravikumar, Vaidyanathan236358 21.43
473 Frias, Victor J236364 25.31
474 Fuller, Maxwell L236356 36.34
475 Rigo, Janos236258 32.59
476 Kindermann, Stefan236167 21.43
477 Rossetto, Héctor D236174 58.73
478 Adamski, Andrzej236167 42.38
479 Hebden, Mark236064 23.29
480 Tiller, Bjorn236072 22.37
481 Root, Douglas235966 18.30
482 Jamroz, Zbigniew235970 46.97
483 Basman, Michael J235967 35.21
484 Lieb, Harald235870 46.43
485 Goehring, Karl Heinz235871
486 Niklasson, Christer235764 28.41
487 Giardelli, Sergio C235657 25.92
488 Van der Vliet, Fredrik235659
489 Balcerowski, Witold235675 45.81
490 Zarubin, O.235676
491 Drasko, Milan235569 18.48
492 Rajna, George235563 34.30
493 Trois, Francisco RT235354
494 Brondum, Eric235262 39.46
495 Wagman, Stuart235270 62.05
496 Kristensen, Bjarke235158 25.14
497 Schinzel, Wladyslaw235154 38.03
498 Braga, Fernando235166 22.89
499 Liu Wenzhe234971 40.65
500 Nowak, Ignacy234975 32.39

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