< September 30, 1987     Back to date list    November 30, 1987 >

Top 10 active players as of October 31, 1987

  #  

Player Rating +/-
1 Kasparov, Garry K282948
2 Karpov, Anatoly E277548
3 Timman, Jan H272047
4 Beliavsky, Alexander G269449
5 Naumkin, Igor269459
6 Korchnoi, Viktor L268647
7 Jussupow, Artur M268549
8 Tal, Mikhail268248
9 Vaganian, Rafael A267350
10 Portisch, Lajos267248

About these ratings

Top 500 active players as of October 31, 1987

  #  

Player Rating +/- Best? 75%? Age
1 Kasparov, Garry K28294871.6% #224.55
2 Karpov, Anatoly E27754818.0% #436.44
3 Timman, Jan H2720472.4% #1535.88
4 Beliavsky, Alexander G2694490.9% #2733.87
5 Naumkin, Igor2694591.8% #3122.22
6 Korchnoi, Viktor L2686470.5% #3056.61
7 Jussupow, Artur M2685490.6% #3227.72
8 Tal, Mikhail2682480.5% #3350.97
9 Vaganian, Rafael A2673500.3% #4136.04
10 Portisch, Lajos2672480.2% #4150.57
11 Ehlvest, Jaan2670510.3% #4325.05
12 Short, Nigel D2666470.2% #4522.41
13 Ljubojevic, Ljubomir2659470.1% #4936.99
14 Seirawan, Yasser2659500.2% #5127.60
15 Hübner, Robert2657490.1% #5238.98
16 Nikolic, Predrag2656490.2% #5327.14
17 Balashov, Yury S2654510.1% #5538.63
18 Psakhis, Lev B2653480.1% #5528.92
19 Salov, Valery B2653500.1% #5623.43
20 Sax, Gyula2652500.1% #5736.37
21 Tukmakov, Vladimir B2652500.1% #5741.63
22 Ribli, Zoltán2651490.1% #5736.15
23 Andersson, Ulf2647490.1% #6136.34
24 Eingorn, Viacheslav S2647500.1% #6130.93
25 Vyzmanavin, Alexey2646520.1% #6427.83
26 Gurevich, Mikhail N264449 #6328.69
27 Khalifman, Alexander2643510.1% #6621.79
28 Polugaevsky, Lev A2642500.1% #6652.94
29 Speelman, Jonathan S264049 #6731.08
30 Dolmatov, Sergey V2640500.1% #6728.70
31 Spassky, Boris V263849 #7050.75
32 Gelfand, Boris2637540.1% #7419.35
33 Chernin, Alexander M263549 #7227.65
34 Gulko, Boris F263450 #7440.73
35 Romanishin, Oleg M263448 #7235.81
36 Vladimirov, Evgeny Y2630590.1% #8330.78
37 Sokolov, Andrey Y262749 #8024.61
38 Nunn, John D M262649 #8132.52
39 Gavrikov, Victor N262451 #8430.26
40 Malaniuk, Vladimir P262049 #8730.28
41 Lerner, Konstantin Z262050 #8837.67
42 Rozentalis, Eduardas262055 #9124.43
43 Agdestein, Simen261851 #9020.46
44 Lputian, Smbat G261849 #8929.71
45 Bareev, Evgeny261550 #9320.94
46 Chandler, Murray G261548 #9227.57
47 Pintér, József261252 #9833.97
48 Hort, Vlastimil261150 #9643.80
49 Kharitonov, Andrey Y261053 #10028.57
50 Smagin, Sergey260650 #10329.15
51 Azmaiparashvili, Zurab A260453 #10827.62
52 Gipslis, Aivars260262 #11650.73
53 Razuvaev, Yury S260250 #10742.06
54 Yermolinsky, Alex V260257 #11129.55
55 Christiansen, Larry M260151 #10931.34
56 Sveshnikov, Evgeny E260050 #10937.72
57 Huzman, Alexander259854 #11425.56
58 Larsen, Bent259851 #11352.66
59 Dorfman, Iosif D259757 #11835.50
60 Smyslov, Vassily V259551 #11566.60
61 Georgiev, Kiril259550 #11521.92
62 Dokhoian, Yury259556 #11923.01
63 Smirin, Ilia259460 #12219.78
64 Dvoiris, Semen I259360 #12328.99
65 Anand, Viswanathan259354 #12017.89
66 Yurtaev, Leonid259256 #12128.50
67 Miles, Anthony J259148 #11832.52
68 Ubilava, Elizbar E259052 #12137.18
69 Vasiukov, Evgeny A259059 #12654.65
70 Murey, Yakov258952 #12346.24
71 Kupreichik, Viktor D258851 #12238.33
72 Dzindzichashvili, Roman Y258759 #13043.49
73 Kruppa, Yuri258758 #12923.36
74 Mikhalchishin, Adrian B258553 #12632.95
75 Yudasin, Leonid G258551 #12528.23
76 Pigusov, Evgeny258451 #12626.58
77 Hansen, Curt258351 #12723.12
78 Rashkovsky, Nukhim N258352 #12941.54
79 Nogueiras, Jesus258050 #13028.29
80 Torre, Eugenio258050 #13035.98
81 Ivanchuk, Vassily258055 #13518.62
82 Kavalek, Lubomir257954 #13544.23
83 Popovic, Petar257949 #13128.71
84 Chiburdanidze, Maia G257754 #13626.79
85 Ftácnik, Lubomír257749 #13230.00
86 van der Wiel, John T H257748 #13228.23
87 Bönsch, Uwe257650 #13529.04
88 Makarichev, Sergey Y257556 #13933.95
89 Panchenko, Alexander N257454 #13934.07
90 Glek, Igor V257458 #14225.98
91 Shneider, Aleksandr257258 #14525.44
92 Podgaets, Mikhail Y257165 #14940.27
93 Panno, Oscar R257059 #14652.62
94 Zaichik, Gennady L257052 #14230.72
95 Kochiev, Alexander256854 #14531.60
96 Arkhipov, Sergey256755 #14633.36
97 Fedorowicz, John P256750 #14429.09
98 Bronstein, David I256665 #15463.70
99 Kuzmin, Gennady P256656 #14841.78
100 Darga, Klaus V256572 #15953.69
101 Hjartarson, Jóhann256549 24.73
102 Adorján, András256450 37.58
103 Savon, Vladimir A256370 47.10
104 Dreev, Alexey256257 18.78
105 Karlsson, Lars256151 32.30
106 Bagirov, Vladimir K256155 51.21
107 Gorelov, Sergey G256059 30.20
108 Suba, Mihai256049 40.41
109 Cámpora, Daniel H256051 30.34
110 Sosonko, Gennadi256050 44.45
111 Uhlmann, Wolfgang255951 52.59
112 Cifuentes Parada, Roberto255956 29.86
113 Goldin, Alexander255855 22.68
114 Epishin, Vladimir255857 22.30
115 Ivanov, Igor V255660 40.81
116 Graf, Alexander255558 25.18
117 Kaidanov, Gregory S255453 28.05
118 Geller, Efim P255350 62.66
119 Gheorghiu, Florin255350 43.57
120 Benjamin, Joel L255351 23.64
121 Timoshchenko, Gennady255254 38.51
122 Kengis, Edvins255152 28.55
123 Vaisser, Anatoli255155 38.65
124 Knaak, Rainer F255150 34.62
125 Velimirovic, Dragoljub255150 45.47
126 Neverov, Valery255154 23.36
127 Gligoric, Svetozar255154 64.74
128 Olafsson, Helgi255150 31.21
129 Cvitan, Ognjen255050 26.06
130 Novikov, Igor A255051 25.44
131 Yakovich, Yuri255052 24.92
132 Sokolov, Ivan254954 19.38
133 Pétursson, Margeir254949 27.71
134 Quinteros, Miguel A254853 39.84
135 Gufeld, Eduard E254760 51.62
136 Smejkal, Jan254751 41.61
137 Liberzon, Vladimir M254672 50.61
138 Tseshkovsky, Vitaly V254651 43.10
139 Morovic Fernández, Iván E254456 24.60
140 Kuzmin, Alexey254368 24.65
141 Korzubov, Peter254168 25.83
142 Henley, Ron W254067 30.90
143 Kurajica, Bojan254055 39.95
144 Matanovic, Aleksandar254075 57.44
145 Kudrin, Sergey254051 28.15
146 Kantsler, Boris254055 25.54
147 Marjanovic, Slavoljub253949 32.82
148 Reshevsky, Samuel H253965 75.92
149 Taimanov, Mark E253865 61.73
150 Ekstroem, Roland253765 31.44
151 Shabanov, Yury F253759 49.96
152 Kholmov, Ratmir D253658 62.47
153 Gruenfeld, Yehuda253651 31.67
154 Dlugy, Maxim253651 21.76
155 Barua, Dibyendu253459 21.01
156 Browne, Walter S253352 38.81
157 Palatnik, Semen A253355 37.60
158 Vorotnikov, Vladislav V253274 40.20
159 Chekhov, Valery A253252 31.92
160 Kindermann, Stefan253048 27.84
161 Oll, Lembit253052 21.52
162 Dautov, Rustem252960 21.92
163 Garcia Palermo, Carlos252950 33.91
164 Didishko, Vereslav252965 38.56
165 Inkiov, Ventzislav252851 31.45
166 Kalinitschew, Sergey252760 31.74
167 Rodriguez, Amador252750 31.15
168 Alburt, Lev O252752 42.19
169 Lobron, Eric252649 27.48
170 Kovacevic, Vladimir252656 45.60
171 Guseinov, Aidyn252663 35.83
172 Greenfeld, Alon252552 23.54
173 Spraggett, Kevin B252552 32.97
174 Adianto, Utut252557 22.62
175 Byrne, Robert E252359 59.53
176 Arnason, Jon L252250 26.96
177 Lein, Anatoly252255 56.59
178 Klovans, Janis252160 52.56
179 Sunye Neto, Jaime252153 30.49
180 Sturua, Zurab252167 28.40
181 Ghinda, Mihail Viorel252053 38.27
182 Wedberg, Tom252055 33.92
183 Mestel, A Jonathan252052 30.63
184 Nemet, Ivan251973 44.55
185 Magerramov, Elmar S251962 29.56
186 Gaprindashvili, Nona251963 46.49
187 Petrosian, Arshak B251855 33.87
188 Veingold, Aleksander251774 34.06
189 Ivanov, Alexander V251764 31.50
190 Grigorian, Karen A251668 40.15
191 Groszpeter, Attila251553 27.39
192 Hulak, Krunoslav251550 36.43
193 García Gonzáles, Guillermo251550 33.89
194 Barbero, Gerardo F251555 26.19
195 Velikov, Petar251555 36.59
196 Meduna, Eduard251550 37.14
197 Lau, Ralf251451 28.03
198 Todorcevic, Miodrag251353 46.97
199 Loginov, Valery A251259 31.88
200 Petrienko, Vladimir251162 32.64
201 Csom, István251151 47.41
202 Antunes, Antonio251067 25.73
203 London, Dimitri250965 24.94
204 Vitolinš, Alvis250865 41.38
205 Zapata, Alonso250850 29.19
206 Rogers, Ian250850 27.35
207 Lalic, Bogdan250756 23.65
208 Ivkov, Borislav250754 53.96
209 Watson, William N250751 25.54
210 Nikolac, Juraj250763 55.52
211 Tischbierek, Raj250650 25.10
212 Lukacs, Peter250450 37.31
213 Ostermeyer, Peter250462 44.05
214 Mokrý, Karel250449 28.73
215 Barlov, Dragan250451 30.75
216 Bischoff, Klaus250351 26.39
217 Faragó, Iván250348 41.58
218 Aseev, Konstantin N250259 27.03
219 Tringov, Georgy P250258 50.65
220 Legky, Nikolay A250266 32.55
221 Georgiev, Krum250253 29.44
222 Ivanovic, Božidar249952 41.19
223 Hazai, Laszlo249951 34.38
224 deFirmian, Nicholas E249951 30.26
225 Moskalenko, Viktor249965 26.91
226 Hellers, Ferdinand249854 18.76
227 Seret, Jean Luc249860
228 Illescas Cordoba, Miguel249754 21.91
229 Mainka, Romuald249763 24.46
230 Raicevic, Momcilo249763
231 Wolf, Volker249666 30.15
232 Xu Jun249552 25.12
233 Donchev, Dimitar I249456 29.28
234 Hebden, Mark249455 29.71
235 Van der Sterren, Paul249450 31.62
236 Vukic, Milan249366 44.20
237 Pfleger, Helmut249361 44.23
238 Lanka, Zigurds249361 27.44
239 Plaskett, Jim249251 27.62
240 Schussler, Harry249255 30.35
241 Wilder, Michael249156 25.12
242 Serper, Grigory249159 18.13
243 Fokin, Sergey249070 32.05
244 Govedarica, Radovan249061 39.71
245 Hodgson, Julian M249049 24.27
246 Joksic, Sinisa248973 47.06
247 Georgadze, Tamaz V248955 39.97
248 Vogt, Lothar H248952 35.79
249 Gurevich, Dmitry248852 31.14
250 Ermenkov, Evgenij248855 38.09
251 Cebalo, Mišo248751 42.73
252 Matulovic, Milan248759 52.39
253 Shamkovich, Leonid A248759 64.41
254 Rukavina, Josip248658 44.92
255 Klundt, Klaus248670 45.85
256 Abramovic, Boško248654 36.71
257 Mednis, Edmar J248559 50.61
258 Soppe, Guillermo248569 27.12
259 Giorgadze, Giorgi248563 23.06
260 Keitlinghaus, Ludger248459 22.27
261 Vera, Reynaldo248454 26.81
262 Reyes, Juan248465 24.51
263 Simic, Radoslav248366 39.39
264 Kogan, Boris248361
265 Foisor, Ovidiu248253 28.57
266 Ernst, Thomas248252 27.20
267 Kurtenkov, Atanas248264 24.24
268 Stoica, Valentin248260 37.71
269 Birnboim, Nathan248153 36.92
270 Schneider, Lars Ake248156
271 Mnatsakanian, Eduard A248169 48.90
272 Unzicker, Wolfgang248157 62.35
273 Wirthensohn, Heinz248160 36.49
274 Hickl, Joerg248051 22.54
275 Pytel, Krzysztof248069 42.46
276 Stohl, Igor248051 23.09
277 Rivas Pastor, Manuel248058 27.30
278 Filipenko, Alexander V247975 38.66
279 Winants, Luc247853 24.83
280 Jansa, Vlastimil247850 44.92
281 Staniszewski, Piotr247853 21.16
282 Drasko, Milan247853 24.90
283 Ionescu, Constantin247754 29.13
284 Nikolic, Zivoslav247658 33.88
285 Li Zunian247559 29.81
286 Klaric, Zlatko247566 31.02
287 Eslon, Jaan247369 35.66
288 Portisch, Ferenc247363 48.56
289 Frias, Victor J247369 31.72
290 Ree, Hans247354 43.13
291 Andres Mendez, Miguel247163
292 Rajkovic, Dusan247056 45.37
293 Szabó, László247070 70.62
294 Ostojic, Predrag246970 49.69
295 Vaulin, Alexander246969 30.62
296 Sahovic, Dragutin246864 47.23
297 Flear, Glenn C246850 28.72
298 Sideif Sade, Fikret I246858 35.83
299 Belov, Igor246863
300 Horvath, Jozsef246751 23.22
301 Nun, Josef246766 54.27
302 Mortensen, Erling246753 32.57
303 Lechtynsky, Jiri246752 39.93
304 Gutman, Lev246750 42.10
305 Petrushin, Alexander I246772 40.64
306 Lombardy, William J246660 49.91
307 Tempone, Marcelo246673 25.15
308 Rohde, Michael A246654 28.18
309 Espig, Lutz246655 38.82
310 Szmetan, Jorge246662 37.43
311 Marin, Mihail246556 22.53
312 Gurgenidze, Bukhuti I246555 53.96
313 Popchev, Milko246556 22.96
314 Bukal, Vladimir Sr246558 47.99
315 Kosten, Anthony C246554 29.27
316 Gomez Baillo, Jorge H246460 28.53
317 Hawelko, Marek246451 28.22
318 Piesina, Gintautas246468 35.56
319 Nun, Jiri246456 30.26
320 Řgaard, Leif246358 35.82
321 Jelen, Iztok246372 40.78
322 Piket, Jeroen246356 18.76
323 Hecht, Hans-Joachim246365 48.76
324 Marangunic, Srdjan246366 43.99
325 Krasenkow, Michal246264 23.96
326 Szekely, Peter246257 32.73
327 Fernandez Garcia, Jose Luis246156 33.49
328 Dizdar, Goran246153 28.91
329 Yrjola, Jouni246151 28.02
330 Helmers, Knut J246066 30.73
331 Valkesalmi, Kimmo246055 26.50
332 Pribyl, Josef246054 40.05
333 Tseitlin, Mikhail S246068 40.37
334 Polgar, Zsuzsa245950 18.53
335 Ziatdinov, Raset245970 28.84
336 Cramling, Dan245962 28.74
337 Ambroz, Jan245959 33.37
338 Verduga, Denis Homero245957
339 Thorsteins, Karl245855 23.05
340 Murshed, Niaz245864 21.47
341 Barbulescu, Dan245756 23.36
342 Lukin, Andrei M245766 39.17
343 Basin, Leonid245770 29.93
344 Kremenetsky, Anatoly M245672 48.80
345 Knezevic, Milorad245650 50.99
346 Rakic, Tomislav245670 52.96
347 Granda Zuńiga, Julio E245653 20.68
348 Khasin, Alexander245661 36.51
349 Ricardi, Pablo245556 25.68
350 Renet, Olivier245551 22.86
351 Pedersen, Erik245463 29.14
352 Plachetka, Jan245350 42.70
353 Yap, Andronico245360
354 Karpman, Vadim245369 22.47
355 Sharif, Mershad245257 35.30
356 Veinger, Itzhak245257 49.32
357 Santo Roman, Marc245270 27.13
358 King, Daniel J245152 24.17
359 Semkov, Semko245159 27.67
360 Pekarek, Ales245152 25.87
361 Lanc, Alois245152 39.70
362 Klinger, Josef245152 20.40
363 Sorokin, Maxim245068 19.77
364 Cabrilo, Goran245064 29.33
365 Schlosser, Philipp245067 19.20
366 Ornstein, Axel245057 35.52
367 Efimov, Igor244970 27.12
368 Popov, Luben244873 51.76
369 Renman, Nils Gustaf244761
370 Sigurjónsson, Gudmundur244756 40.10
371 Akesson, Ralf244759 26.73
372 Tisdall, Jonathan D244655 29.18
373 Ardiansyah, Haji244660 35.90
374 Braga, Fernando244660 29.31
375 Schulte, Oliver244665 18.86
376 Casper, Thomas244553 28.62
377 Zagrebelny, Sergey244575
378 Leski, Marc244566 26.35
379 Talavera, JC.244569
380 Damljanovic, Branko244554 26.37
381 Vokác, Marek244557 28.90
382 Janovsky, Sergey244476 27.70
383 Tatai, Stefano244455 49.61
384 Shtyrenkov, Veniamen244470 29.52
385 Rechlis, Gad244455 20.74
386 Radulov, Ivan244355 48.81
387 Schmidt, Wlodzimierz244349 44.56
388 Rodriguez, Ruben244369 40.90
389 Blatny, Pavel244353 19.36
390 Potts, Alan244368
391 Hjorth, Greg244270 24.30
392 Kraidman, Yair244264 54.99
393 Gruenenwald, Joerg244168 22.41
394 Rachels, Stuart244162 18.10
395 Hermann, Manfred244165 45.17
396 Kolev, Atanas244168 20.29
397 Kouatly, Bachar244150 29.66
398 Ye Jiangchuan244163 26.94
399 Kirov Ivanov, Nino244054 42.14
400 Filipovic, Branko243960 30.07
401 Ryskin, Alexander243972 24.80
402 Bielczyk, Jacek243957 34.69
403 Trapl, Jindrich243861 45.60
404 Lalev, Dimitar243770 27.79
405 Spiridonov, Nikola243756 49.67
406 Kuligowski, Adam243755 31.85
407 Kallai, Gabor243657 28.69
408 Rodriguez Vargas, Orestes243561 44.32
409 Gruenberg, Hans Ulrich243557 31.81
410 Spassov, Liuben243556 44.61
411 Hertneck, Gerald243453 24.12
412 Reeh, Oliver243460 23.78
413 Womacka, Mathias243473 21.35
414 Beckemeier, Werner243465 28.04
415 Wiedenkeller, Michael243254 24.81
416 Sanna, Gianlazzaro243272 27.55
417 Handoko, Edhi243259 27.17
418 Schoenthier, Frank243273 28.95
419 Imanaliev, Taalaibek243163
420 Sznapik, Aleksander243151 36.72
421 Wockenfuss, Klaus243159 36.17
422 Rigo, Janos243163 39.01
423 Mariotti, Sergio243164 41.22
424 Weidemann, Joerg243072 29.60
425 Meyer, E.243076
426 Garcia, Gildardo243061 33.64
427 Davies, Nigel R243053 27.25
428 Ochoa de Echaguen, F Javier243058 33.16
429 Velickovic, Sasa243073 36.58
430 Wittmann, Walter243055 39.63
431 Horvath, Tamas242958 36.02
432 Liang Jinrong242960 27.44
433 Benko, Pal C242963 59.29
434 Motwani, Paul242961 25.38
435 Filipowicz, Andrzej242960 49.47
436 Sendera, Jaroslaw242869 22.51
437 Kelecevic, Nedeljko242871 40.64
438 Hug, Werner242857 35.14
439 Matlak, Marek242854 21.61
440 Djuric, Stefan242753 32.26
441 Robatsch, Karl242754 59.05
442 Lengyel, Levente242766 54.38
443 Bilek, István242765 55.22
444 Schneider, Attila242657 32.55
445 Hamann, Svend242673 47.06
446 Kuczynski, Robert242651 21.54
447 Ligterink, Gert242653 37.95
448 Nowak, Ignacy242556 38.80
449 Ninov, Kiril242567 19.06
450 Martinovic, Slobodan242559 42.27
451 Komarov, Dimitri242574 18.91
452 Bany, Jerzy242553 26.66
453 Akhmilovskaya, Elena242567
454 Prandstetter, Eduard242551 38.88
455 McCambridge, Vincent242465 27.65
456 Jakobsen, Ole242462 45.03
457 Barczay, Laszlo242457 51.69
458 Qi Jingxuan242361 39.97
459 Brueckner, Thomas242361 24.26
460 Soltis, Andrew E242362 40.42
461 Adams, Michael242364 15.95
462 Doncevic, Dario242264 29.80
463 Luther, Thomas242261 17.98
464 Trepp, Markus242255
465 Ulibin, Mikhail242264 16.42
466 Kristiansen, Jens242253 35.43
467 Manouck, Thierry242175 30.47
468 Reefschlaeger, Helmut242162 43.56
469 Ost Hansen, Jacob242175
470 Ghitescu, Theodor242160 53.77
471 Jasnikowski, Zbigniew242055 32.47
472 Karolyi, Tibor Jr242053 25.95
473 Hernandez, Roman242060 37.93
474 Thipsay, Praveen Mahadeo242058 28.22
475 Heinbuch, Detlef241960 26.81
476 Buecker, Peter241970
477 Haik, Aldo241951 35.03
478 Schweber, Samuel241975 51.29
479 Karsa, Laszlo241963 32.13
480 Scheeren, Peter241861 32.25
481 Diaz, Joaquin C241857 39.32
482 Pein, Malcolm241760 27.21
483 Lukov, Valentin241758 31.89
484 Orso, Miklos241768 31.40
485 Horváth, Csaba241755 19.40
486 Pliester, Leon241664 33.20
487 Rubinetti, Jorge A241660 42.58
488 Mascarinas, Rico241670 34.66
489 Milos, Gilberto241655 24.00
490 Pelts, Roman241671 50.64
491 Lin Ta241569 24.75
492 Gallagher, Joseph G241561 23.49
493 Garcia Martinez, Silvino241453 43.32
494 Sherzer, Alex241464 16.75
495 Vallifuoco, Giacomo241475 30.49
496 De Wit, Johannes S241373 23.10
497 McNab, Colin Anderson241360 26.74
498 Tashkhodzhaev, A.241273
499 Litvinov, Vladimir241276 46.29
500 Toth, Bela241163 44.53

These ratings, calculated as of October 31, 1987, incorporate all games (against rated opponents) played in the time between November 1, 1986 and October 31, 1987, along with the ratings that were already calculated as of October 31, 1986. 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, 1987. This represents the player's estimated strength on November 1, 1987.

+/- 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, 1987. The +/- value represents the standard deviation of that estimate; the player's true strength on November 1, 1987 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, 1987. 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, 1987. 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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