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Top 10 active players as of July 31, 1984


Top 500 active players as of July 31, 1984

  #  

Player Rating +/- Best? 75%? Age
1 Kasparov, Garry K28245164.0% #221.30
2 Karpov, Anatoly E27824922.8% #433.19
3 Beliavsky, Alexander G2717492.4% #1730.62
4 Timman, Jan H2713471.7% #1832.63
5 Korchnoi, Viktor L2705491.4% #2153.36
6 Portisch, Lajos2700491.0% #2347.32
7 Vaganian, Rafael A2691500.8% #2832.79
8 Polugaevsky, Lev A2689510.8% #2949.70
9 Eingorn, Viacheslav S2681540.6% #3527.68
10 Ribli, Zoltán2676500.3% #3732.90
11 Ljubojevic, Ljubomir2671490.3% #3933.74
12 Dolmatov, Sergey V2669540.4% #4325.45
13 Andersson, Ulf2666480.2% #4233.09
14 Spassky, Boris V2665490.2% #4347.50
15 Smyslov, Vassily V2664510.3% #4463.35
16 Tal, Mikhail2664490.2% #4447.73
17 Petrosian, Tigran V2662520.3% #4655.12
18 Hübner, Robert2655490.1% #5035.73
19 Miles, Anthony J2648480.1% #5529.27
20 Agzamov, Georgy T2646520.1% #5929.90
21 Dvoiris, Semen I2646570.2% #6225.74
22 Jussupow, Artur M2644500.1% #6024.47
23 Psakhis, Lev B2643490.1% #6025.67
24 Dorfman, Iosif D2642510.1% #6232.25
25 Romanishin, Oleg M263849 #6432.56
26 Gulko, Boris F263753 #6837.48
27 Lputian, Smbat G2635520.1% #6926.46
28 Kupreichik, Viktor D263453 #6935.08
29 Salov, Valery B2634590.1% #7420.18
30 Sosonko, Gennadi263250 #7141.20
31 Balashov, Yury S263150 #7035.38
32 Ehlvest, Jaan2628550.1% #7721.80
33 Tukmakov, Vladimir B262651 #7738.38
34 Sveshnikov, Evgeny E262551 #7834.47
35 Nikolic, Predrag262550 #7623.89
36 Geller, Efim P262351 #8059.41
37 Seirawan, Yasser262248 #7824.35
38 Ftácnik, Lubomír262248 #7826.75
39 Lerner, Konstantin Z262252 #8134.42
40 Chernin, Alexander M261855 #8624.40
41 Hort, Vlastimil261849 #8340.55
42 Nunn, John D M261749 #8329.27
43 Malaniuk, Vladimir P261552 #8827.03
44 Bronstein, David I261459 #9460.45
45 Vyzmanavin, Alexey261353 #9124.58
46 Vasiukov, Evgeny A261055 #9551.40
47 Razuvaev, Yury S260751 #9538.81
48 Tseshkovsky, Vitaly V260651 #9639.85
49 Gavrikov, Victor N260651 #9827.01
50 Adorján, András260649 #9534.33
51 Kavalek, Lubomir260451 #9940.97
52 Novikov, Igor A260456 #10322.19
53 Kuzmin, Gennady P260355 #10238.53
54 Chekhov, Valery A260351 #10028.68
55 Browne, Walter S260250 #10035.56
56 Sokolov, Andrey Y260052 #10421.36
57 Dvoretsky, Mark I2600730.1% #11836.64
58 Gipslis, Aivars259962 #11247.48
59 Kochiev, Alexander259954 #10728.35
60 Larsen, Bent259851 #10449.41
61 Smejkal, Jan259550 #10738.36
62 Vaisser, Anatoli259453 #11035.40
63 Christiansen, Larry M259451 #10928.09
64 Sax, Gyula259349 #10933.12
65 Parma, Bruno2592730.1% #12642.59
66 Makarichev, Sergey Y259052 #11330.70
67 Mikhalchishin, Adrian B259052 #11329.70
68 Yurtaev, Leonid259057 #11725.25
69 Dzindzichashvili, Roman Y259055 #11640.24
70 Timoshchenko, Gennady258559 #12435.26
71 Torre, Eugenio258349 #11932.74
72 Averkin, Orest N2583740.1% #13640.43
73 Didishko, Vereslav258360 #12735.31
74 Savon, Vladimir A258065 #13343.85
75 Rozentalis, Eduardas257961 #13121.18
76 Kharitonov, Andrey Y257853 #12725.32
77 Knaak, Rainer F257849 #12531.37
78 Tarjan, James E257752 #12732.44
79 Chandler, Murray G257549 #12724.32
80 Petrosian, Arshak B257554 #13130.62
81 Yudasin, Leonid G257453 #13024.97
82 Georgadze, Tamaz V257355 #13336.73
83 Naumkin, Igor257368 #14218.97
84 Kurajica, Bojan257249 #13036.71
85 Panno, Oscar R257162 #13949.37
86 Azmaiparashvili, Zurab A256952 #13524.37
87 Speelman, Jonathan S256949 #13327.83
88 Pigusov, Evgeny256958 #13923.33
89 Zaichik, Gennady L256854 #13627.47
90 Ubilava, Elizbar E256753 #13733.92
91 Gheorghiu, Florin256552 #13940.32
92 Kholmov, Ratmir D256454 #14159.22
93 Rashkovsky, Nukhim N256254 #14338.29
94 Byrne, Robert E256254 #14356.28
95 Short, Nigel D256149 #14119.16
96 Guseinov, Aidyn256055 #14632.58
97 Podgaets, Mikhail Y255964 #15237.02
98 Karlsson, Lars255850 #14429.05
99 Gorelov, Sergey G255858 #15026.95
100 Bagirov, Vladimir K255752 #14647.95
101 Anikaev, Yury255656 36.09
102 Mestel, A Jonathan255650 27.38
103 Marjanovic, Slavoljub255551 29.57
104 van der Wiel, John T H255549 24.97
105 Panchenko, Alexander N255552 30.82
106 Korzubov, Peter255553 22.58
107 Kremenetsky, Anatoly M255464 45.55
108 Kovacevic, Vladimir255451 42.35
109 Ivanovic, Božidar255350 37.93
110 Vitolinš, Alvis255261 38.13
111 Popovic, Petar255153 25.46
112 Stean, Michael F254960 30.91
113 Cebalo, Mišo254953 39.48
114 deFirmian, Nicholas E254850 27.01
115 Abramovic, Boško254750 33.46
116 Polovodin, Igor A254757 29.36
117 Suba, Mihai254650 37.16
118 Vorotnikov, Vladislav V254658 36.95
119 Velimirovic, Dragoljub254652 42.22
120 Gligoric, Svetozar254450 61.49
121 Reshevsky, Samuel H254459 72.68
122 Ivanov, Igor V254452 37.56
123 Alburt, Lev O254350 38.94
124 Andrianov, Nikolai254261 22.61
125 Pintér, József254153 30.73
126 Lombardy, William J254158 46.66
127 Quinteros, Miguel A254052 36.59
128 Palatnik, Semen A254061 34.35
129 Yermolinsky, Alex V253956 26.30
130 Mokrý, Karel253952 25.48
131 Henley, Ron W253950 27.65
132 Faragó, Iván253850 38.33
133 Gufeld, Eduard E253655 48.37
134 Kengis, Edvins253556 25.30
135 Barua, Dibyendu253562 17.76
136 Taimanov, Mark E253453 58.48
137 Vogt, Lothar H253451 32.54
138 Veingold, Aleksander253361 30.81
139 Sturua, Zurab253359 25.15
140 Zilberman, Nathan R253269 44.24
141 Weinstein, Norman253174 33.82
142 Ivkov, Borislav253154 50.72
143 Nikolic, Zivoslav253055 30.63
144 Groszpeter, Attila252953 24.14
145 Csom, István252850 44.16
146 Nemet, Ivan252869 41.30
147 Simic, Radoslav252753 36.14
148 Osnos, Viacheslav V252762 49.02
149 Meduna, Eduard252650 33.89
150 Lobron, Eric252649 24.23
151 Wedberg, Tom252650 30.68
152 Uhlmann, Wolfgang252650 49.34
153 Liberzon, Vladimir M252659 47.36
154 Hazai, Laszlo252651 31.13
155 Najdorf, Miguel252562 74.29
156 Cherepkov, Alexander V252464 63.75
157 Inkiov, Ventzislav252349 28.20
158 Shneider, Aleksandr252157 22.19
159 Vladimirov, Evgeny Y252160 27.53
160 Grigorian, Karen A252161 36.90
161 Shereshevsky, Mikhail I252174 34.28
162 Zakharov, Alexander V251966 40.81
163 Shamkovich, Leonid A251952 61.16
164 Gurgenidze, Bukhuti I251957 50.72
165 Thipsay, Praveen Mahadeo251959 24.96
166 Ivanov, Alexander V251969 28.25
167 Oll, Lembit251856 18.27
168 Agdestein, Simen251755 17.21
169 Kogan, Boris251756
170 Pfleger, Helmut251653 40.98
171 Mnatsakanian, Eduard A251662 45.65
172 Pachmann, Ludek251672 60.22
173 Unzicker, Wolfgang251555 59.10
174 Cámpora, Daniel H251554 27.09
175 Smagin, Sergey251464 25.90
176 Keene, Raymond251457
177 Tatai, Stefano251454 46.36
178 Jansa, Vlastimil251349 41.68
179 Tseitlin, Mikhail S251260 37.12
180 Klovans, Janis251259 49.31
181 Lukacs, Peter251251 34.06
182 Ostermeyer, Peter251253 40.80
183 Stohl, Igor251155 19.84
184 Biyiasas, Peter251075 33.70
185 Bukic, Enver251064 46.66
186 Glek, Igor V250961 22.73
187 Yuferov, Sergey N250865 38.66
188 Jamieson, Robert Murray250875
189 Hansen, Curt250852 19.87
190 Velikov, Petar250850 33.34
191 Szabó, László250775 67.37
192 Soltis, Andrew E250763 37.17
193 Spraggett, Kevin B250757 29.72
194 Zapata, Alonso250652 25.94
195 Gurevich, Mikhail N250663 25.44
196 Gruenfeld, Yehuda250558 28.42
197 Suetin, Alexey S250557 57.71
198 McKay, Roderick M250574 32.47
199 Vukic, Milan250454 40.94
200 Nikolac, Juraj250364 52.27
201 Lein, Anatoly250352 53.34
202 Fedorowicz, John P250355 25.84
203 Matanovic, Aleksandar250171 54.19
204 Nogueiras, Jesus250153 25.04
205 Murey, Yakov250152 42.99
206 Hulak, Krunoslav250050 33.18
207 Franco Ocampos, Zenon250059 28.22
208 Kudrin, Sergey250050 24.90
209 Donchev, Dimitar I249951 26.03
210 Olafsson, Helgi249852 27.95
211 Chiburdanidze, Maia G249858 23.54
212 Ree, Hans249850 39.88
213 Olafsson, Fridrik249760 49.51
214 Bikhovsky, Avigdor I249762 29.40
215 Schmidt, Wlodzimierz249649 41.31
216 Raicevic, Momcilo249667
217 Djuric, Stefan249553 29.01
218 Espig, Lutz249552 35.57
219 Kruppa, Yuri249467 20.11
220 Malich, Burkhard G249463 47.67
221 Greenfeld, Alon249458 20.29
222 Gurevich, Dmitry249350 27.89
223 Ionov, Sergey249266 22.56
224 Schussler, Harry249251 27.10
225 Plaskett, Jim249252 24.37
226 Podzielny, Karl Heinz249260 29.89
227 García Gonzáles, Guillermo249250 30.64
228 Díez del Corral, Jesús249167 51.32
229 Arnason, Jon L249150 23.72
230 Mednis, Edmar J249059 47.36
231 Bönsch, Uwe248951 25.79
232 Padevsky, Nikola B248963 51.17
233 Antoshin, Vladimir S248863 55.21
234 Kindermann, Stefan248851 24.59
235 Matulovic, Milan248754 49.14
236 Gruenberg, Hans Ulrich248753 28.56
237 Lechtynsky, Jiri248749 36.68
238 Pétursson, Margeir248651 24.46
239 Rukavina, Josip248655 41.67
240 Bilek, István248663 51.96
241 Benko, Pal C248660 56.04
242 Pytel, Krzysztof248557 39.21
243 Ghinda, Mihail Viorel248555 35.02
244 Drasko, Milan248559 21.65
245 Strauss, David J248575 37.98
246 Sigurjónsson, Gudmundur248552 36.85
247 Radulov, Ivan248450 45.56
248 Řgaard, Leif248456 32.57
249 Wolf, Volker248465 26.90
250 Rodriguez, Amador248453 27.90
251 Todorcevic, Miodrag248370 43.72
252 Petrushin, Alexander I248258 37.39
253 Mortensen, Erling248251 29.32
254 Portisch, Ferenc248154 45.31
255 Schneider, Lars Ake248154
256 Georgiev, Krum248051 26.19
257 Spassov, Liuben248050 41.36
258 Hug, Werner248074 31.89
259 Sunye Neto, Jaime248054 27.24
260 Govedarica, Radovan247962 36.46
261 Mariotti, Sergio247966 37.97
262 Szekely, Peter247854 29.48
263 Lukin, Andrei M247853 35.92
264 London, Dimitri247768 21.69
265 Popov, Luben247757 48.51
266 Tringov, Georgy P247752 47.40
267 Plachetka, Jan247749 39.45
268 Hjartarson, Jóhann247651 21.48
269 Klaric, Zlatko247468 27.77
270 Tavadian, Ragik247462
271 Bisguier, Arthur B247471 54.81
272 Pribyl, Josef247351 36.80
273 Shvidler, Eliahu247259 24.61
274 Zaitsev, Igor A247257 46.18
275 Kraidman, Yair247165 51.75
276 Vera, Reynaldo247052 23.56
277 Barczay, Laszlo246956 48.44
278 Sygulski, Artur246954 24.02
279 Sznapik, Aleksander246949 33.47
280 Dizdar, Goran246855 25.66
281 Stoica, Valentin246858 34.46
282 Birnboim, Nathan246761 33.68
283 Dlugy, Maxim246754 18.51
284 Mirkovic, Slobodan246759 26.01
285 Gruen, Peter246658 27.55
286 Martin, Andrew D246657 27.20
287 Adamski, Jan246650 40.72
288 Hartston, William R246565 36.96
289 Peters, John A246559 33.47
290 Taulbut, Shaun M246567 26.55
291 Rajkovic, Dusan246453 42.12
292 Zaltsman, Vitaly F246457 42.76
293 Robatsch, Karl246358 55.80
294 Gutman, Lev246353 38.85
295 Benjamin, Joel L246357 20.39
296 Arbakov, Valentin246363 32.51
297 Pekarek, Ales246271 22.62
298 Vokác, Marek246161 25.65
299 Martinovic, Slobodan246153 39.02
300 Botterill, George Steven246174
301 Velickovic, Sasa246157 33.33
302 Toth, Bela246155 41.28
303 Gomez Baillo, Jorge H246069 25.28
304 Van der Sterren, Paul246051 28.37
305 Ost Hansen, Jacob246057
306 Haik, Aldo246059 31.78
307 Sahovic, Dragutin246053 43.97
308 Karner, Hillar245960 49.01
309 Danailov, Silvio245958 23.28
310 Lazic, Miroljub245968 18.09
311 Rivas Pastor, Manuel245952 24.05
312 Renman, Nils Gustaf245969
313 Lederman, Leon245969 37.18
314 Bany, Jerzy245959 23.41
315 Giorgadze, Giorgi245864 19.81
316 Zuckerman, Bernard245872 41.33
317 Hamann, Svend245864 43.81
318 Feustel, Bernd245764 29.86
319 Scheeren, Peter245758 29.00
320 Thorsteins, Karl245760 19.80
321 Graf, Alexander245668 21.93
322 Kaidanov, Gregory S245660 24.80
323 Legky, Nikolay A245667 29.30
324 Hebden, Mark245652 26.46
325 Van Wijgerden, Cornelis245657 34.19
326 Nun, Jiri245561 27.01
327 Prandstetter, Eduard245552 35.63
328 Frias, Victor J245557 28.47
329 Kirov Ivanov, Nino245451 38.89
330 Eslon, Jaan245460 32.41
331 Ernst, Thomas245361 23.95
332 Bastian, Herbert245357 31.64
333 Yrjola, Jouni245259 24.77
334 Bjelajac, Milan245257 36.38
335 Rodriguez, Ruben245264 37.65
336 Lanka, Zigurds245169 24.19
337 Hecht, Hans-Joachim245167 45.51
338 Spiridonov, Nikola245151 46.42
339 Levitina, Irina S245060 30.15
340 Wiedenkeller, Michael244961 21.56
341 Szmetan, Jorge244968 34.18
342 Kristiansen, Jens244852 32.18
343 Ligterink, Gert244752 34.70
344 Knezevic, Milorad244750 47.75
345 Ambroz, Jan244757 30.12
346 Mascarinas, Rico244670 31.41
347 Neckar, Lubomir244666 33.99
348 Ardiansyah, Haji244654 32.65
349 Fernandez Garcia, Jose Luis244563 30.24
350 Wockenfuss, Klaus244557 32.92
351 Kuzmin, Alexey244564 21.40
352 Commons, Kim S244472 33.02
353 Bohm, Hans244454 34.54
354 Nun, Josef244460 51.02
355 Nurkic, Sahbaz244465 28.38
356 Nei, Iivo244466 52.75
357 Barlov, Dragan244452 27.50
358 Tischbierek, Raj244352 21.85
359 Bass, Leonid244361 27.17
360 Rubinetti, Jorge A244265 39.33
361 Lau, Ralf244260 24.78
362 Zilberstein, Valery I244165 41.30
363 McCambridge, Vincent244154 24.40
364 Cifuentes Parada, Roberto244172 26.61
365 Donner, Johannes H244169 57.07
366 Ornstein, Axel244154 32.27
367 Alexandria, Nana244172 34.80
368 Schweber, Samuel244169 48.04
369 Harandi, Khosro244069 33.91
370 Kestler, Hans-Günter244068 44.63
371 Georgiev, Kiril244053 18.67
372 Wittmann, Walter243964 36.38
373 Makropoulos, Georgios243970 30.84
374 Bronstein, Luis243968 38.16
375 Goehring, Karl Heinz243964
376 Garcia Martinez, Silvino243951 40.07
377 Foisor, Ovidiu243957 25.32
378 Hermann, Manfred243861 41.92
379 Ghitescu, Theodor243868 50.52
380 Hebert, Jean243867 26.72
381 Filipovic, Branko243771 26.82
382 Garcia Palermo, Carlos243759 30.66
383 Cvitan, Ognjen243756 22.81
384 Hernandez, Roman243752 34.69
385 Brinck Claussen, Bjorn243756
386 Forintos, Gyözö V243662 49.00
387 Doda, Zbigniew243665 53.44
388 Cabrilo, Goran243653 26.08
389 Rodriguez Vargas, Orestes243671 41.07
390 Watson, John L243567 32.90
391 Ciric, Dragoljub M243573 48.72
392 Eising, Johannes243573 49.17
393 Rantanen, Yrjo A243556 34.27
394 Gross, Stefan243456 34.92
395 Helmers, Knut J243456 27.48
396 Ilic, Zoran243262 20.99
397 Bellin, Robert243266 32.09
398 Wirthensohn, Heinz243262 33.24
399 Aseev, Konstantin N243156 23.78
400 Schneider, Attila243055 29.30
401 Wilder, Michael243068 21.87
402 Lukov, Valentin243053 28.64
403 Hase, Juan Carlos243067
404 Rohde, Michael A243075 24.92
405 Ravikumar, Vaidyanathan242962 24.60
406 Tisdall, Jonathan D242858 25.92
407 Lalev, Dimitar242859 24.54
408 Damljanovic, Branko242858 23.12
409 Rogers, Ian242854 24.10
410 Westerinen, Heikki MJ242852 40.26
411 Loginov, Valery A242764 28.63
412 Abreu, Jorge D242769 26.13
413 Jakobsen, Ole242753 41.78
414 Dobrovolsky, Ladislav242756 33.60
415 Imanaliev, Taalaibek242773
416 Tompa, Janos242670 37.25
417 Kelecevic, Nedeljko242563 37.39
418 Vilela, Jose Luis242453 31.37
419 Tiller, Bjorn242458 25.54
420 Seppeur, Reinhold242465 28.96
421 Sharif, Mershad242474 32.05
422 Kaiszauri, Konstanty242366 31.77
423 Casper, Thomas242356 25.37
424 Trapl, Jindrich242273 42.35
425 Kuligowski, Adam242255 28.60
426 Littlewood, Paul E242259 28.54
427 Reefschlaeger, Helmut242261 40.31
428 Langeweg, Kick242154 47.40
429 Palacios, Antonio242171 31.72
430 Sher, Miron N242166 32.09
431 Hausner, Ivan242161 32.29
432 Bouaziz, Slim242056 34.29
433 Bajovic, Milan242066
434 Handoko, Edhi242056 23.92
435 Eng, Holger241962 23.43
436 Piasetski, Leon David241969
437 Krnic, Zdenko241959 36.83
438 Sideif Sade, Fikret I241863 32.58
439 Kishnev, Sergey241768 27.75
440 Moskalenko, Viktor241767 23.66
441 Pliester, Leon241667 29.94
442 Akesson, Ralf241664 23.48
443 Fedder, Steen241666 33.13
444 Bojkovic, Slobodan241567 39.01
445 Cvetkovic, Srdjan241556 38.42
446 Heinbuch, Detlef241567 23.56
447 Zahariev, Zahari241466 22.89
448 Qi Jingxuan241365 36.73
449 Bergstrom, Christer241371 25.84
450 Osmanovic, Kemal241371 43.40
451 Flear, Glenn C241366 25.47
452 Trifunov, Dimitar241364 20.57
453 Moehring, Guenther241262 47.68
454 Saidy, Anthony F241268 47.21
455 Kagan, Shimon241160 42.32
456 Bielczyk, Jacek241154 31.44
457 Cramling, Dan241159 25.49
458 Raicevic, Vladimir241162 35.24
459 Bischoff, Klaus241055 23.14
460 Zichichi, Alvise241058 46.07
461 Borm, Franciscus WM240962
462 Van Voorthuijsen, PW.240969
463 Morovic Fernández, Iván E240973 21.35
464 McNab, Colin Anderson240860 23.49
465 Pritchett, Craig William240864
466 Lengyel, Levente240859 51.13
467 Rocha, Antonio240874 40.13
468 Semkov, Semko240757 24.42
469 Banas, Jan240755 37.16
470 Martin Gonzalez, Angel240769 31.58
471 Kunsztowicz, Uwe240666 40.54
472 Danner, Georg240661 37.76
473 Herzog, Adolf240670 31.15
474 Hartoch, Robert G240664
475 Djukic, Zeljko240657 25.13
476 Stein, Bernd240565 29.53
477 Lanc, Alois240555 36.45
478 Horvath, Tamas240452 32.77
479 Rakic, Tomislav240361 49.72
480 Damjanovic, Mato240364 57.36
481 Zueger, Beat240362 23.16
482 Berg, Klaus240253 24.24
483 Ochoa de Echaguen, F Javier240259 29.91
484 Kataev, Simcho240267
485 Doncevic, Dario240163 26.55
486 Sisniega, Marcel240157 25.01
487 Hartmann, Wolfram240069 28.19
488 Davies, Nigel R240064 23.99
489 Hodgson, Julian M239959 21.02
490 Szymczak, Zbigniew239952 32.57
491 Stempin, Pawel239953 25.05
492 Kouatly, Bachar239964 26.41
493 Parameswaran, Tiruchi N239866 28.71
494 Karolyi, Tibor Jr239855 22.71
495 Adianto, Utut239858 19.37
496 De Wit, Johannes S239664 19.85
497 Sydor, Andrzej239657 47.58
498 Budde, Vladimir239666 31.60
499 Filipowicz, Andrzej239567 46.22
500 Orso, Miklos239570 28.15

These ratings, calculated as of July 31, 1984, incorporate all games (against rated opponents) played in the time between August 1, 1983 and July 31, 1984, along with the ratings that were already calculated as of July 31, 1983. 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, 1984. This represents the player's estimated strength on August 1, 1984.

+/- 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, 1984. The +/- value represents the standard deviation of that estimate; the player's true strength on August 1, 1984 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, 1984. 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, 1984. 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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