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Top 10 active players as of October 31, 1982


Top 500 active players as of October 31, 1982

  #  

Player Rating +/- Best? 75%? Age
1 Kasparov, Garry K27875046.5% #319.55
2 Karpov, Anatoly E27724830.9% #431.44
3 Korchnoi, Viktor L2711494.5% #1651.61
4 Tal, Mikhail2695482.2% #2245.97
5 Beliavsky, Alexander G2694492.2% #2228.87
6 Portisch, Lajos2686481.6% #2545.57
7 Ljubojevic, Ljubomir2681491.2% #2831.99
8 Psakhis, Lev B2681501.2% #2823.92
9 Romanishin, Oleg M2676491.0% #3130.81
10 Spassky, Boris V2675490.8% #3145.75
11 Andersson, Ulf2675470.8% #3031.34
12 Polugaevsky, Lev A2672500.8% #3347.94
13 Petrosian, Tigran V2670500.8% #3453.37
14 Timman, Jan H2661470.3% #3930.88
15 Smyslov, Vassily V2658510.4% #4261.60
16 Gulko, Boris F2655530.5% #4435.73
17 Tseshkovsky, Vitaly V2655490.3% #4338.10
18 Hübner, Robert2650490.2% #4633.98
19 Hort, Vlastimil2650480.2% #4638.80
20 Ribli, Zoltán2649490.2% #4631.15
21 Dolmatov, Sergey V2647500.2% #4923.70
22 Vaganian, Rafael A2646500.2% #5031.04
23 Balashov, Yury S2639500.1% #5433.63
24 Geller, Efim P2634500.1% #5857.66
25 Tukmakov, Vladimir B2628520.1% #6436.63
26 Bronstein, David I2626530.1% #6758.70
27 Jussupow, Artur M262649 #6522.72
28 Sosonko, Gennadi2624490.1% #6639.45
29 Lerner, Konstantin Z2622580.2% #7232.67
30 Dorfman, Iosif D2622520.1% #7030.50
31 Seirawan, Yasser2619490.1% #7122.60
32 Kavalek, Lubomir261250 #7839.23
33 Nunn, John D M260849 #8127.52
34 Gorelov, Sergey G2607600.1% #8825.20
35 Larsen, Bent260649 #8247.66
36 Kupreichik, Viktor D260550 #8433.33
37 Razuvaev, Yury S260551 #8537.06
38 Miles, Anthony J260448 #8527.52
39 Rashkovsky, Nukhim N260353 #8836.54
40 Kholmov, Ratmir D2603670.2% #9757.47
41 Kovacevic, Vladimir260154 #9140.60
42 Lputian, Smbat G260053 #9224.71
43 Agzamov, Georgy T259953 #9228.15
44 Sax, Gyula259849 #9131.37
45 Makarichev, Sergey Y259752 #9428.95
46 Sveshnikov, Evgeny E259652 #9432.72
47 Alburt, Lev O259453 #9737.19
48 Gipslis, Aivars259261 #10445.73
49 Taimanov, Mark E259157 #10256.73
50 Kuzmin, Gennady P259151 #9936.78
51 Browne, Walter S258849 #10033.81
52 Vitolinš, Alvis258761 #10836.38
53 Averbakh, Yury L2587630.1% #11260.73
54 Chernin, Alexander M2586630.1% #11322.65
55 Kochiev, Alexander258558 #10926.60
56 Eingorn, Viacheslav S2585750.3% #12125.93
57 Smejkal, Jan258550 #10436.61
58 Palatnik, Semen A2584670.1% #11632.60
59 Vasiukov, Evgeny A258254 #11049.65
60 Dzindzichashvili, Roman Y258159 #11338.49
61 Gufeld, Eduard E258153 #11146.62
62 Ftácnik, Lubomír257949 #11025.00
63 Gheorghiu, Florin257949 #10938.57
64 Yurtaev, Leonid2579730.1% #12623.50
65 Parma, Bruno257858 #11640.84
66 Ivanov, Igor V257756 #11635.81
67 Tarjan, James E257758 #11730.69
68 Panchenko, Alexander N257754 #11429.07
69 Mikhalchishin, Adrian B257653 #11527.95
70 Kremenetsky, Anatoly M257559 #12143.80
71 Veingold, Aleksander2574680.1% #12829.06
72 Speelman, Jonathan S257050 #12026.08
73 Georgadze, Tamaz V256853 #12334.97
74 Savon, Vladimir A256853 #12442.10
75 Evans, Larry M2567730.1% #13850.61
76 Suba, Mihai256651 #12435.41
77 Bagirov, Vladimir K256652 #12446.21
78 Didishko, Vereslav256658 #12933.56
79 Christiansen, Larry M256549 #12326.34
80 Murey, Yakov256553 #12641.24
81 Kurajica, Bojan256450 #12534.95
82 Gurgenidze, Bukhuti I256268 #13948.96
83 Petrosian, Arshak B256155 #13128.87
84 Torre, Eugenio256050 #12930.98
85 Nemet, Ivan255968 #14239.55
86 Vyzmanavin, Alexey2557730.1% #14722.83
87 Lein, Anatoly255651 #13451.59
88 Sturua, Zurab255559 #13923.40
89 Vorotnikov, Vladislav V255465 #14635.20
90 Stean, Michael F255451 #13629.16
91 Byrne, Robert E255256 #14154.53
92 Gligoric, Svetozar255251 #13859.74
93 Pachmann, Ludek2552740.1% #15158.47
94 Adorján, András255151 #13832.58
95 Nikolic, Predrag255151 #13822.14
96 Simic, Radoslav254956 #14334.39
97 Yudasin, Leonid G254954 #14323.23
98 Pintér, József254951 #14128.97
99 Chekhov, Valery A254854 #14326.92
100 Vaisser, Anatoli254862 #14833.65
101 Lukin, Andrei M254668 34.17
102 Mokrý, Karel254659 23.73
103 Panno, Oscar R254656 47.62
104 Knaak, Rainer F254449 29.62
105 Yermolinsky, Alex V254463 24.55
106 Lombardy, William J254466 44.91
107 Najdorf, Miguel254354 72.54
108 Anikaev, Yury254356 34.34
109 Timoshchenko, Gennady254256 33.51
110 Uhlmann, Wolfgang254149 47.59
111 Velimirovic, Dragoljub254151 40.47
112 van der Wiel, John T H254049 23.23
113 Gavrikov, Victor N253954 25.26
114 Tseitlin, Mikhail S253958 35.37
115 Liberzon, Vladimir M253955 45.61
116 Vogt, Lothar H253849 30.79
117 Ivkov, Borislav253750 48.96
118 Azmaiparashvili, Zurab A253762 22.62
119 Abramovic, Boško253652 31.71
120 Grigorian, Karen A253658 35.15
121 Nei, Iivo253668 50.99
122 Nikolic, Zivoslav253456 28.88
123 Darga, Klaus V253472 48.69
124 Nikolac, Juraj253270 50.52
125 Faragó, Iván253249 36.58
126 Keene, Raymond253152
127 Chandler, Murray G253149 22.57
128 Matulovic, Milan253155 47.39
129 Ivanovic, Božidar252850 36.19
130 Řgaard, Leif252858 30.82
131 Bukic, Enver252657 44.91
132 Eolian, Levon S252663 23.12
133 Csom, István252650 42.41
134 Quinteros, Miguel A252550 34.84
135 Kharitonov, Andrey Y252259 23.57
136 Barua, Dibyendu252269 16.01
137 Olafsson, Fridrik252160 47.76
138 Reshevsky, Samuel H252159 70.92
139 Vladimirov, Evgeny Y252060 25.78
140 Ivanov, Alexander V252069 26.50
141 Suetin, Alexey S251852 55.95
142 Stoica, Valentin251863 32.71
143 Sokolov, Andrey Y251860 19.61
144 Vukic, Milan251756 39.20
145 Thipsay, Praveen Mahadeo251760 23.22
146 Shamkovich, Leonid A251753 59.41
147 Ree, Hans251750 38.13
148 Lukacs, Peter251751 32.31
149 García Gonzáles, Guillermo251653 28.89
150 Cebalo, Mišo251652 37.73
151 Pfleger, Helmut251656 39.23
152 Calvo Minguez, Ricardo251471 39.02
153 Cámpora, Daniel H251458 25.34
154 Todorcevic, Miodrag251366 41.97
155 Magerramov, Elmar S251165 24.56
156 Lobron, Eric251051 22.48
157 Henley, Ron W251055 25.90
158 Hulak, Krunoslav250953 31.43
159 Karlsson, Lars250950 27.30
160 Bönsch, Uwe250951 24.04
161 Biyiasas, Peter250962 31.94
162 Kakageldyev, Amanmurad250872 32.84
163 Karner, Hillar250871 47.26
164 Andrianov, Nikolai250857 20.86
165 Lechtynsky, Jiri250752 34.93
166 Jamieson, Robert Murray250765
167 Marovic, Dražen250561 44.80
168 Osnos, Viacheslav V250364 47.27
169 Tringov, Georgy P250253 45.65
170 Bilek, István250263 50.22
171 Popovic, Petar250251 23.71
172 Unzicker, Wolfgang250053 57.35
173 Mestel, A Jonathan250050 25.63
174 Radulov, Ivan249950 43.81
175 Benko, Pal C249960 54.29
176 Szabó, László249962 65.62
177 Kengis, Edvins249962 23.55
178 Lutikov, Anatoly S249862 49.74
179 Klovans, Janis249865 47.56
180 McKay, Roderick M249775 30.72
181 Meduna, Eduard249649 32.14
182 deFirmian, Nicholas E249554 25.26
183 Salov, Valery B249569 18.43
184 Plachetka, Jan249449 37.70
185 Vera, Reynaldo249455 21.81
186 Marjanovic, Slavoljub249351 27.82
187 Matanovic, Aleksandar249257 52.44
188 Knezevic, Milorad249152 45.99
189 Malich, Burkhard G249157 45.92
190 Zaltsman, Vitaly F248960 41.01
191 Djuric, Stefan248956 27.26
192 Mnatsakanian, Eduard A248961 43.90
193 Schmidt, Wlodzimierz248950 39.56
194 Smagin, Sergey248962 24.15
195 Mortensen, Erling248852 27.57
196 Kudrin, Sergey248858 23.15
197 Wedberg, Tom248751 28.92
198 Georgiev, Krum248651 24.44
199 Jansa, Vlastimil248549 39.92
200 Díez del Corral, Jesús248561 49.57
201 Zarubin, O.248467
202 Ligterink, Gert248453 32.95
203 Schneider, Lars Ake248453
204 Kalinitschew, Sergey248465 26.74
205 Velikov, Petar248350 31.59
206 Rogulj, Branko248361 31.25
207 Spassov, Liuben248251 39.61
208 Kogan, Boris248262
209 Zaitsev, Igor A248155 44.43
210 Grefe, John A248170 35.15
211 Ermenkov, Evgenij248051 33.09
212 Espig, Lutz248051 33.82
213 Bjelajac, Milan247961 34.63
214 Sigurjónsson, Gudmundur247952 35.10
215 Birnboim, Nathan247955 31.92
216 Barczay, Laszlo247952 46.69
217 Zaichik, Gennady L247966 25.72
218 Inkiov, Ventzislav247850 26.45
219 Mariotti, Sergio247855 36.22
220 Groszpeter, Attila247753 22.39
221 Cherepkov, Alexander V247667 62.00
222 Ekstroem, Roland247575 26.44
223 Ostermeyer, Peter247458 39.05
224 Duer, Arne247464 23.31
225 Podzielny, Karl Heinz247466 28.14
226 Ubilava, Elizbar E247468 32.18
227 Sahovic, Dragutin247356 42.23
228 Popov, Luben247353 46.76
229 Petrushin, Alexander I247368 35.64
230 Peters, John A247359 31.72
231 Mednis, Edmar J247363 45.61
232 Hazai, Laszlo247253 29.38
233 Chiburdanidze, Maia G247155 21.79
234 Kraidman, Yair247166 49.99
235 Pribyl, Josef247151 35.05
236 Nogueiras, Jesus247054 23.29
237 Bisguier, Arthur B247071 53.06
238 Rodriguez, Amador247053 26.15
239 Franco Ocampos, Zenon246957 26.47
240 Sznapik, Aleksander246950 31.72
241 Enklaar, Bertus F246968
242 Shneider, Aleksandr246973 20.44
243 Buturin, Vladimir246873 38.94
244 Mochalov, Evgeny V246761 31.01
245 Kirov Ivanov, Nino246652 37.14
246 Van Wijgerden, Cornelis246560 32.44
247 Portisch, Ferenc246356 43.56
248 Rajkovic, Dusan246352 40.37
249 Hug, Werner246363 30.14
250 Rodriguez, Ruben246259 35.90
251 Dely, Peter246269 48.32
252 Soltis, Andrew E246275 35.42
253 Donchev, Dimitar I246255 24.28
254 Antoshin, Vladimir S246159 53.46
255 Ciocaltea, Victor246152 50.79
256 Short, Nigel D246151 17.41
257 Rukavina, Josip246159 39.92
258 Schweber, Samuel246171 46.29
259 Klaric, Zlatko246057 26.02
260 Gaprindashvili, Nona246074 41.49
261 Tatai, Stefano246055 44.61
262 Szekely, Peter246054 27.73
263 Lau, Ralf245968 23.03
264 Sunye Neto, Jaime245952 25.49
265 Bouaziz, Slim245956 32.54
266 Bradford, Joseph M245771 31.99
267 Vokác, Marek245759 23.90
268 Littlewood, Paul E245657 26.79
269 Bajovic, Milan245658
270 Jelen, Iztok245666 35.78
271 Robatsch, Karl245554 54.05
272 Castro Rojas, Oscar Humberto245569 29.48
273 Wittmann, Walter245559 34.63
274 Hartston, William R245559 35.22
275 Martinovic, Slobodan245553 37.27
276 Ornstein, Axel245554 30.52
277 Gruenfeld, Yehuda245552 26.67
278 Lakic, Nikola245472 35.29
279 Szmetan, Jorge245469 32.43
280 Martz, William E245366
281 Raicevic, Vladimir245358 33.49
282 Adamski, Jan245354 38.96
283 Helmers, Knut J245353 25.73
284 Gutman, Lev245256 37.10
285 Schussler, Harry245252 25.35
286 Taulbut, Shaun M245255 24.80
287 Hecht, Hans-Joachim245160 43.76
288 Taruffi, Daniele245174 24.16
289 Pytel, Krzysztof245159 37.46
290 Feustel, Bernd245056 28.11
291 Hermann, Manfred245067 40.17
292 Bischoff, Klaus244962 21.39
293 Makropoulos, Georgios244759 29.09
294 Ardiansyah, Haji244656 30.90
295 Dobrovolsky, Ladislav244654 31.85
296 Jakobsen, Ole244655 40.03
297 Seret, Jean Luc244565
298 Wirthensohn, Heinz244555 31.49
299 Padevsky, Nikola B244558 49.42
300 Garcia Palermo, Carlos244460 28.91
301 Garcia, Gildardo244372 28.64
302 Minic, Dragoljub244364 45.65
303 Barlov, Dragan244352 25.75
304 Spiridonov, Nikola244352 44.67
305 Djukic, Zeljko244268 23.38
306 Sharif, Mershad244266 30.30
307 Vooremaa, Andres244269 38.28
308 Pétursson, Margeir244154 22.71
309 Strauss, David J244165 36.23
310 McCambridge, Vincent244160 22.65
311 Govedarica, Radovan244166 34.71
312 Vadasz, Laszlo244058 34.76
313 Wolf, Volker244072 25.15
314 Hamann, Svend244063 42.06
315 Commons, Kim S243963 31.27
316 Shirazi, Kamran G243971 29.94
317 Huzman, Alexander243976 20.56
318 Arnason, Jon L243852 21.96
319 Tisdall, Jonathan D243857 24.18
320 Morovic Fernández, Iván E243765 19.60
321 Forintos, Gyözö V243655 47.25
322 Donner, Johannes H243656 55.32
323 Renman, Nils Gustaf243567
324 Ambroz, Jan243551 28.37
325 Hansen, Curt243555 18.12
326 Ghinda, Mihail Viorel243553 33.27
327 Wockenfuss, Klaus243462 31.17
328 Cramling, Dan243357 23.74
329 Kaiszauri, Konstanty243358 30.02
330 Prandstetter, Eduard243252 33.88
331 Gruenberg, Hans Ulrich243157 26.81
332 Kindermann, Stefan243154 22.84
333 Kunsztowicz, Uwe243163 38.79
334 Toth, Bela243157 39.53
335 Uusi, Gunnar243171
336 Langeweg, Kick243152 45.65
337 Mestrovic, Zvonimir243173 38.04
338 Luczak, Andrzej243059 33.90
339 Kuligowski, Adam243054 26.85
340 Fedorowicz, John P242957 24.09
341 Antunac, Goran242975 37.54
342 Frias, Victor J242965 26.72
343 Hernandez, Roman242958 32.93
344 Plaskett, Jim242959 22.62
345 Velickovic, Sasa242763 31.58
346 Hebert, Jean242659 24.96
347 Rodriguez Vargas, Orestes242557 39.32
348 Lederman, Leon242571 35.43
349 Giorgadze, Giorgi242576 18.06
350 Kristiansen, Jens242555 30.43
351 Damjanovic, Mato242559 55.61
352 Zichichi, Alvise242459 44.32
353 Vilela, Jose Luis242453 29.62
354 Reefschlaeger, Helmut242458 38.56
355 Neckar, Lubomir242358 32.24
356 Morris, Walter D242268 24.16
357 Rubinetti, Jorge A242257 37.58
358 Ghitescu, Theodor242259 48.77
359 Gulbrandsen, Arne Vinje242273
360 Augustin, Josef242165 40.45
361 Nun, Jiri242157 25.26
362 Lengyel, Levente242159 49.38
363 Hennings, Artur242161 42.30
364 Bikhovsky, Avigdor I242174 27.65
365 Haik, Aldo242057 30.03
366 Law, Andrew P242072 32.31
367 Brinck Claussen, Bjorn242057
368 Ostojic, Predrag242066 44.69
369 Alexandria, Nana241962 33.05
370 Scheeren, Peter241960 27.25
371 Despotovic, Momcilo241969 34.66
372 Tompa, Janos241968 35.50
373 Gurevich, Dmitry241956 26.14
374 Sygulski, Artur241861 22.27
375 Bohm, Hans241855 32.79
376 Zivanovic, Ivan241875 19.58
377 Lukov, Valentin241856 26.89
378 Tavadian, Ragik241765
379 Itkis, Boris241773 30.06
380 Botterill, George Steven241775
381 Fedder, Steen241760 31.38
382 Khasin, Abram I241671 59.71
383 Cifuentes Parada, Roberto241674 24.86
384 Rivas Pastor, Manuel241654 22.30
385 Rantanen, Yrjo A241553 32.52
386 Kestler, Hans-Günter241563 42.88
387 Olafsson, Helgi241555 26.21
388 Karasev, Vladimir I241469 44.37
389 Braga, Fernando241460 24.31
390 Press, Grigory241469
391 Kuijf, Hans241471 20.47
392 Hebden, Mark241358 24.71
393 Bellin, Robert241357 30.34
394 Flear, Glenn C241366 23.72
395 Peev, Peicho Chonev241265 42.58
396 Zapata, Alonso241258 24.19
397 Cvetkovic, Srdjan241257 36.67
398 Trifunov, Dimitar241174 18.82
399 Mascarinas, Rico241163 29.66
400 Hase, Juan Carlos241166
401 Ciric, Dragoljub M241171 46.96
402 Watson, John L241168 31.15
403 Szymczak, Zbigniew241057 30.82
404 Greenfeld, Alon241062 18.54
405 Vasilev, Nikolai241068 13.66
406 Arbakov, Valentin241071 30.76
407 Ravikumar, Vaidyanathan241057 22.85
408 Trapl, Jindrich240963 40.60
409 Van der Sterren, Paul240954 26.62
410 Flesch, Janos240870 49.09
411 Agdestein, Simen240863 15.46
412 Gobet, Fernand240864 20.72
413 Ost Hansen, Jacob240757
414 Pliester, Leon240763 28.20
415 Sideif Sade, Fikret I240763 30.83
416 Rath, Ulrik240669 35.85
417 Goehring, Karl Heinz240664
418 Hausner, Ivan240653 30.54
419 Garcia Martinez, Silvino240657 38.32
420 Westerinen, Heikki MJ240551 38.51
421 Balinas, Rosendo Carrean240568
422 Pritchett, Craig William240564
423 Tomaszewski, Roman240467 22.46
424 Kelecevic, Nedeljko240256 35.64
425 Gurevich, Mikhail N240269 23.69
426 Handoko, Edhi240255 22.17
427 Angantysson, Haukur240264 33.91
428 Petran, Pal240260 36.13
429 Schoeneberg, Manfred240064 36.32
430 Sjoberg, Mats240067 23.96
431 Ernst, Thomas239962 22.20
432 Bukal, Vladimir Sr239973 42.99
433 Bastian, Herbert239867 29.89
434 Borik, Otto239854 35.10
435 Bielczyk, Jacek239854 29.69
436 Williams, Arthur Howard239774
437 Gerusel, Mathias239765 44.74
438 Dizdar, Goran239761 23.91
439 Krnic, Zdenko239664 35.08
440 Heinbuch, Detlef239664 21.81
441 Filipowicz, Andrzej239661 44.47
442 Burger, Karl239653 49.77
443 Kagan, Shimon239657 40.57
444 Tiller, Bjorn239558 23.79
445 Balshan, Amikam239574
446 Bednarski, Jacek B239467 43.63
447 Akesson, Ralf239457 21.73
448 Myagmarsuren, Lhamsuren239467 44.70
449 Filipenko, Alexander V239475 33.66
450 Horvath, Tamas239456 31.02
451 Cabrilo, Goran239061 24.33
452 Emma, Jaime J239075 44.79
453 Rogers, Ian238961 22.35
454 Pekarek, Ales238971 20.87
455 Herbrechtsmeier, Christof238865 28.84
456 Welin, Thomas238761 23.15
457 Fries Nielsen, Jens Ove238753 22.69
458 Kuzmin, Alexey238662 19.65
459 Banas, Jan238656 35.41
460 Sisniega, Marcel238559 23.26
461 Bronstein, Luis238567 36.41
462 Hartoch, Robert G238462
463 Nurkic, Sahbaz238374 26.63
464 Stohl, Igor238365 18.09
465 Herzog, Adolf238358 29.40
466 Thorsteins, Karl238261 18.05
467 Fernandez Garcia, Jose Luis238264 28.49
468 Borm, Franciscus WM238163
469 Nowak, Ignacy238165 33.80
470 Onat, Ilhan238173 52.90
471 Danner, Georg238155 36.01
472 Hansson, Dan238066 30.39
473 Gruen, Peter238067 25.80
474 Gauglitz, Gernot238057 20.34
475 Van Riemsdijk, Herman C238066 34.18
476 Mencinger, Vojko237969 24.57
477 Martin Gonzalez, Angel237866 29.83
478 Vinje Gulbrandsen, Arne237873
479 Cox, John J237866 20.44
480 Soos, Bela237863 52.65
481 Nicevski, Risto237857 37.34
482 Rigo, Janos237760 34.01
483 Wilder, Michael237773 20.12
484 Segal, Alexandru Sorin237775 35.07
485 Grigorov, Jordan N237763 28.90
486 Lieb, Harald237773 47.85
487 Dobosz, Henryk237660 29.61
488 Butnorius, Algimantas237571 35.94
489 Moehring, Guenther237556 45.93
490 Partos, Charles237562 46.22
491 Benjamin, Joel L237563 18.64
492 Santos, Jose P237468 24.05
493 Shvidler, Eliahu237468 22.86
494 Przewoznik, Jan237468 25.12
495 Li Zunian237465 24.81
496 Adamski, Andrzej237375 43.80
497 Brondum, Eric237362 40.87
498 Cooper, John Grantley237269
499 Pokojowczyk, Jerzy237252 33.69
500 Honfi, Karoly237158 52.02

These ratings, calculated as of October 31, 1982, incorporate all games (against rated opponents) played in the time between November 1, 1981 and October 31, 1982, along with the ratings that were already calculated as of October 31, 1981. 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 October 31, 1982. This represents the player's estimated strength on November 1, 1982.

+/- 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 November 1, 1982. The +/- value represents the standard deviation of that estimate; the player's true strength on November 1, 1982 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 November 1, 1982. 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 October 31, 1982. 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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