< November 30, 1987     Back to date list    January 31, 1988 >

Top 10 active players as of December 31, 1987

  #  

Player Rating +/-
1 Kasparov, Garry K282649
2 Karpov, Anatoly E277748
3 Timman, Jan H272747
4 Beliavsky, Alexander G270249
5 Korchnoi, Viktor L268647
6 Jussupow, Artur M267950
7 Tal, Mikhail267848
8 Portisch, Lajos267848
9 Short, Nigel D267347
10 Gelfand, Boris267053

About these ratings

Top 500 active players as of December 31, 1987

  #  

Player Rating +/- Best? 75%? Age
1 Kasparov, Garry K28264969.1% #224.72
2 Karpov, Anatoly E27774820.5% #436.61
3 Timman, Jan H2727473.6% #1236.05
4 Beliavsky, Alexander G2702491.3% #2234.04
5 Korchnoi, Viktor L2686470.5% #3056.77
6 Jussupow, Artur M2679500.5% #3527.88
7 Tal, Mikhail2678480.4% #3551.14
8 Portisch, Lajos2678480.4% #3550.74
9 Short, Nigel D2673470.2% #3822.58
10 Gelfand, Boris2670530.5% #4319.52
11 Ehlvest, Jaan2668510.3% #4325.21
12 Ribli, Zoltán2659500.1% #5036.32
13 Nikolic, Predrag2659490.2% #5027.30
14 Sax, Gyula2659500.2% #5036.54
15 Tukmakov, Vladimir B2657490.1% #5141.79
16 Hübner, Robert2656490.1% #5139.15
17 Salov, Valery B2655500.2% #5323.60
18 Ljubojevic, Ljubomir2650480.1% #5637.16
19 Vaganian, Rafael A2650500.1% #5836.21
20 Speelman, Jonathan S2649490.1% #5931.25
21 Eingorn, Viacheslav S2646500.1% #6231.10
22 Gurevich, Mikhail N2645480.1% #6028.86
23 Psakhis, Lev B264548 #6029.09
24 Seirawan, Yasser2644490.1% #6227.77
25 Dolmatov, Sergey V2642510.1% #6528.86
26 Andersson, Ulf2642490.1% #6436.51
27 Gavrikov, Victor N2637500.1% #6930.42
28 Polugaevsky, Lev A2636500.1% #7053.11
29 Chernin, Alexander M263649 #7027.82
30 Balashov, Yury S263350 #7438.80
31 Kharitonov, Andrey Y263252 #7528.74
32 Khalifman, Alexander263250 #7421.95
33 Vyzmanavin, Alexey263151 #7527.99
34 Spassky, Boris V263150 #7550.91
35 Smirin, Ilia2631560.1% #7919.94
36 Sokolov, Andrey Y262849 #7824.78
37 Romanishin, Oleg M262548 #8035.97
38 Naumkin, Igor2623560.1% #8822.39
39 Gulko, Boris F262350 #8440.89
40 Lerner, Konstantin Z262250 #8537.84
41 Dokhoian, Yury2621530.1% #8923.18
42 Malaniuk, Vladimir P261949 #8630.44
43 Rozentalis, Eduardas261853 #9224.59
44 Hort, Vlastimil261750 #8943.96
45 Yudasin, Leonid G261751 #9128.40
46 Vladimirov, Evgeny Y261356 #9930.94
47 Ivanchuk, Vassily261353 #9718.79
48 Bareev, Evgeny261250 #9521.11
49 Chandler, Murray G260948 #9727.74
50 Nunn, John D M260849 #9932.68
51 Agdestein, Simen260651 #10320.63
52 Smagin, Sergey260450 #10329.31
53 Anand, Viswanathan260453 #10518.05
54 Razuvaev, Yury S260450 #10542.22
55 Larsen, Bent260350 #10652.82
56 Sveshnikov, Evgeny E260350 #10637.89
57 Lputian, Smbat G260249 #10529.88
58 Christiansen, Larry M260150 #10731.51
59 Dorfman, Iosif D259960 #11635.66
60 Azmaiparashvili, Zurab A259455 #11827.79
61 Pigusov, Evgeny259250 #11726.75
62 Pintér, József259251 #11834.14
63 Gipslis, Aivars259161 #12750.90
64 Georgiev, Kiril259151 #11822.09
65 Miles, Anthony J259048 #11832.69
66 Rashkovsky, Nukhim N258951 #12141.70
67 Smyslov, Vassily V258951 #12266.77
68 Murey, Yakov258853 #12446.41
69 Yurtaev, Leonid258657 #12828.66
70 Dvoiris, Semen I258360 #13329.16
71 Chiburdanidze, Maia G258254 #13126.95
72 Popovic, Petar258150 #12828.88
73 Torre, Eugenio258050 #13036.16
74 Kavalek, Lubomir258055 #13444.39
75 Tseshkovsky, Vitaly V257950 #13143.27
76 Dreev, Alexey257954 #13418.94
77 van der Wiel, John T H257848 #13128.39
78 Ubilava, Elizbar E257754 #13537.34
79 Dzindzichashvili, Roman Y257760 #13943.65
80 Bönsch, Uwe257650 #13529.21
81 Shneider, Aleksandr257558 #14125.61
82 Vasiukov, Evgeny A257455 #13954.82
83 Kochiev, Alexander257455 #14031.77
84 Ftácnik, Lubomír257450 #13630.17
85 Mikhalchishin, Adrian B257252 #13933.12
86 Podgaets, Mikhail Y257268 #15040.44
87 Panno, Oscar R257160 #14652.79
88 Makarichev, Sergey Y257057 #14534.12
89 Glek, Igor V256959 #14626.15
90 Fedorowicz, John P256950 #14229.26
91 Huzman, Alexander256952 #14325.72
92 Hjartarson, Jóhann256849 #14124.90
93 Panchenko, Alexander N256852 #14434.24
94 Kuzmin, Gennady P256754 #14541.94
95 Adorján, András256751 #14337.75
96 Kupreichik, Viktor D256750 #14338.49
97 Kruppa, Yuri256658 #15023.53
98 Hansen, Curt256550 #14623.29
99 Darga, Klaus V256572 #15853.85
100 Ivanov, Igor V256559 #15240.97
101 Bronstein, David I256465 63.87
102 Uhlmann, Wolfgang256452 52.76
103 Savon, Vladimir A256470 47.26
104 Neverov, Valery256355 23.53
105 Novikov, Igor A256350 25.61
106 Arkhipov, Sergey256256 33.52
107 Benjamin, Joel L256249 23.80
108 Zaichik, Gennady L256251 30.89
109 Goldin, Alexander256055 22.84
110 Cámpora, Daniel H256052 30.50
111 Timoshchenko, Gennady256051 38.68
112 Vaisser, Anatoli255954 38.82
113 Gorelov, Sergey G255860 30.37
114 Sosonko, Gennadi255851 44.62
115 Suba, Mihai255750 40.58
116 Nogueiras, Jesus255650 28.45
117 Epishin, Vladimir255555 22.47
118 Velimirovic, Dragoljub255551 45.63
119 Yakovich, Yuri255553 25.09
120 Pétursson, Margeir255450 27.88
121 Gheorghiu, Florin255350 43.73
122 Cifuentes Parada, Roberto255258 30.03
123 Bagirov, Vladimir K255256 51.37
124 Karlsson, Lars255251 32.47
125 Knaak, Rainer F255151 34.79
126 Yermolinsky, Alex V255153 29.72
127 Kengis, Edvins255052 28.72
128 Dautov, Rustem255061 22.09
129 Gaprindashvili, Nona254960 46.66
130 Cvitan, Ognjen254951 26.22
131 Shabanov, Yury F254959 50.14
132 Sokolov, Ivan254954 19.55
133 Gligoric, Svetozar254854 64.91
134 Smejkal, Jan254852 41.77
135 Gufeld, Eduard E254665 51.78
136 Kuzmin, Alexey254661 24.81
137 Kaidanov, Gregory S254552 28.22
138 Gruenfeld, Yehuda254452 31.84
139 Liberzon, Vladimir M254373 50.77
140 Olafsson, Helgi254350 31.38
141 Kurajica, Bojan254356 40.13
142 Oll, Lembit254251 21.69
143 Csom, István254150 47.58
144 Quinteros, Miguel A254153 40.01
145 Kholmov, Ratmir D254159 62.63
146 Morovic Fernández, Iván E253856 24.77
147 Ekstroem, Roland253865 31.61
148 Kudrin, Sergey253750 28.32
149 Reshevsky, Samuel H253766 76.10
150 Taimanov, Mark E253767 61.90
151 Greenfeld, Alon253753 23.70
152 Geller, Efim P253749 62.83
153 Adianto, Utut253659 22.79
154 Kalinitschew, Sergey253661 31.91
155 Henley, Ron W253469 31.07
156 Palatnik, Semen A253355 37.76
157 Vorotnikov, Vladislav V253374 40.37
158 Janjgava, Lasha253358 17.65
159 Dlugy, Maxim253250 21.92
160 Marjanovic, Slavoljub253250 32.98
161 Lobron, Eric253149 27.65
162 Rodriguez, Amador253150 31.31
163 Didishko, Vereslav253171 38.72
164 Graf, Alexander253055 25.35
165 Browne, Walter S253051 38.97
166 Chekhov, Valery A253052 32.09
167 Petrienko, Vladimir252962 32.81
168 Spraggett, Kevin B252952 33.14
169 Lein, Anatoly252756 56.76
170 Inkiov, Ventzislav252751 31.62
171 Wedberg, Tom252754 34.10
172 Kantsler, Boris252757 25.71
173 Veingold, Aleksander252774 34.22
174 Kindermann, Stefan252749 28.01
175 Mestel, A Jonathan252654 30.80
176 Sturua, Zurab252570 28.56
177 Garcia Palermo, Carlos252550 34.08
178 Petrosian, Arshak B252555 34.04
179 deFirmian, Nicholas E252450 30.43
180 Korzubov, Peter252468 25.99
181 Byrne, Robert E252459 59.70
182 Klovans, Janis252160 52.73
183 Alburt, Lev O252051 42.36
184 Lau, Ralf252051 28.20
185 Barua, Dibyendu251955 21.18
186 Kovacevic, Vladimir251857 45.76
187 Arnason, Jon L251850 27.13
188 Groszpeter, Attila251853 27.56
189 Ivanov, Alexander V251764 31.66
190 Guseinov, Aidyn251770 35.99
191 Grigorian, Karen A251768 40.32
192 London, Dimitri251565 25.11
193 Ghinda, Mihail Viorel251554 38.43
194 Sunye Neto, Jaime251554 30.66
195 García Gonzáles, Guillermo251550 34.06
196 Hulak, Krunoslav251451 36.60
197 Nemet, Ivan251373 44.71
198 Lukacs, Peter251250 37.48
199 Velikov, Petar251256 36.75
200 Barbero, Gerardo F251156 26.36
201 Watson, William N251151 25.70
202 Zapata, Alonso251150 29.36
203 Legky, Nikolay A251066 32.72
204 Rogers, Ian250951 27.52
205 Lalic, Bogdan250956 23.81
206 Loginov, Valery A250953 32.05
207 Illescas Cordoba, Miguel250856 22.08
208 Bischoff, Klaus250851 26.56
209 Root, Douglas250871 24.88
210 Hellers, Ferdinand250753 18.92
211 Todorcevic, Miodrag250753 47.14
212 Plaskett, Jim250752 27.79
213 Aseev, Konstantin N250760 27.20
214 Nikolac, Juraj250662 55.69
215 Barlov, Dragan250651 30.91
216 Ostermeyer, Peter250662 44.22
217 Magerramov, Elmar S250666 29.72
218 Ivkov, Borislav250654 54.13
219 Meduna, Eduard250551 37.30
220 Mokrý, Karel250450 28.90
221 Tischbierek, Raj250351 25.27
222 Tringov, Georgy P250259 50.82
223 Vitolinš, Alvis250165 41.54
224 Faragó, Iván250148 41.75
225 Hazai, Laszlo250152 34.55
226 Moskalenko, Viktor250065 27.07
227 Mainka, Romuald250063 24.63
228 Hodgson, Julian M249950 24.43
229 Schussler, Harry249853 30.52
230 Lanka, Zigurds249761 27.61
231 Wolf, Volker249666 30.32
232 Raicevic, Momcilo249663
233 Rukavina, Josip249659 45.09
234 Pfleger, Helmut249662 44.40
235 Donchev, Dimitar I249556 29.44
236 Reyes, Juan249467 24.68
237 Ivanovic, Božidar249453 41.35
238 Joksic, Sinisa249273 47.22
239 Zagrebelny, Sergey249262
240 Seret, Jean Luc249260
241 Van der Sterren, Paul249250 31.79
242 Georgiev, Krum249153 29.60
243 Govedarica, Radovan249161 39.88
244 Hebden, Mark249154 29.88
245 Serper, Grigory249155 18.30
246 Wilder, Michael249154 25.29
247 Vukic, Milan249067 44.37
248 Mednis, Edmar J249059 50.77
249 Fokin, Sergey248970 32.21
250 Flear, Glenn C248850 28.88
251 Abramovic, Boško248855 36.88
252 Klundt, Klaus248865 46.02
253 Vera, Reynaldo248854 26.98
254 Shamkovich, Leonid A248760 64.58
255 Hickl, Joerg248751 22.71
256 Ermenkov, Evgenij248755 38.26
257 Vogt, Lothar H248753 35.95
258 Matulovic, Milan248759 52.56
259 Klaric, Zlatko248666 31.19
260 Foisor, Ovidiu248653 28.73
261 Marin, Mihail248656 22.69
262 Xu Jun248653 25.29
263 Giorgadze, Giorgi248563 23.22
264 Soppe, Guillermo248569 27.29
265 Ernst, Thomas248351 27.37
266 Filipenko, Alexander V248375 38.82
267 Keitlinghaus, Ludger248359 22.44
268 Unzicker, Wolfgang248358 62.51
269 Mnatsakanian, Eduard A248369 49.07
270 Cebalo, Mišo248251 42.90
271 Schneider, Lars Ake248256
272 Kurtenkov, Atanas248164 24.41
273 Li Zunian248062 29.97
274 Stohl, Igor248051 23.26
275 Stoica, Valentin247961 37.88
276 Simic, Radoslav247965 39.56
277 Ionescu, Constantin247954 29.30
278 Pytel, Krzysztof247969 42.63
279 Georgadze, Tamaz V247855 40.14
280 Jansa, Vlastimil247850 45.09
281 Staniszewski, Piotr247853 21.32
282 Winants, Luc247852 24.99
283 Frias, Victor J247771 31.89
284 Birnboim, Nathan247754 37.09
285 Ostojic, Predrag247671 49.86
286 Rohde, Michael A247552 28.35
287 Nikolic, Zivoslav247457 34.05
288 Ree, Hans247454 43.29
289 Rivas Pastor, Manuel247358 27.47
290 Belov, Igor247362
291 Wirthensohn, Heinz247362 36.66
292 Drasko, Milan247353 25.07
293 Rajkovic, Dusan247355 45.54
294 Piket, Jeroen247355 18.92
295 Portisch, Ferenc247264 48.73
296 Petrushin, Alexander I247174 40.81
297 Espig, Lutz247159 38.98
298 Granda Zuńiga, Julio E247052 20.85
299 Jelen, Iztok247073 40.94
300 Antunes, Antonio246970 25.90
301 Szabó, László246970 70.78
302 Andres Mendez, Miguel246963
303 Gurgenidze, Bukhuti I246957 54.13
304 Horvath, Jozsef246851 23.38
305 Ricardi, Pablo246756 25.85
306 Hawelko, Marek246751 28.39
307 Gomez Baillo, Jorge H246660 28.70
308 Vaulin, Alexander246669 30.79
309 Thorsteins, Karl246655 23.22
310 Hecht, Hans-Joachim246670 48.92
311 Lombardy, William J246659 50.07
312 Sahovic, Dragutin246664 47.40
313 Lechtynsky, Jiri246652 40.10
314 Popchev, Milko246656 23.14
315 Santo Roman, Marc246671 27.30
316 Nun, Josef246667 54.44
317 Bukal, Vladimir Sr246557 48.16
318 Piesina, Gintautas246568 35.73
319 Řgaard, Leif246458 35.98
320 Mortensen, Erling246453 32.74
321 Murshed, Niaz246464 21.63
322 Nun, Jiri246356 30.43
323 Helmers, Knut J246367 30.90
324 Szekely, Peter246357 32.90
325 Tempone, Marcelo246373 25.32
326 Pekarek, Ales246352 26.04
327 Lukin, Andrei M246266 39.34
328 Valkesalmi, Kimmo246255 26.66
329 Eslon, Jaan246269 35.82
330 Dizdar, Goran246254 29.07
331 Tseitlin, Mikhail S246269 40.54
332 Sherzer, Alex246262 16.91
333 Krasenkow, Michal246264 24.13
334 Marangunic, Srdjan246166 44.17
335 Yrjola, Jouni246151 28.19
336 Ambroz, Jan246060 33.54
337 Plachetka, Jan246051 42.87
338 Verduga, Denis Homero246057
339 Rakic, Tomislav245970 53.14
340 Fernandez Garcia, Jose Luis245857 33.66
341 Kogan, Boris245756
342 Khasin, Alexander245761 36.67
343 Basin, Leonid245770 30.11
344 Pribyl, Josef245654 40.22
345 Ardiansyah, Haji245664 36.07
346 Pedersen, Erik245663 29.30
347 Sideif Sade, Fikret I245561 35.99
348 Szmetan, Jorge245562 37.60
349 Karpman, Vadim245469 22.63
350 Gutman, Lev245451 42.26
351 Polgar, Zsuzsa245350 18.70
352 Gurevich, Dmitry245351 31.30
353 Knezevic, Milorad245351 51.17
354 Ornstein, Axel245157 35.69
355 Lanc, Alois245052 39.87
356 Sigurjónsson, Gudmundur245057 40.27
357 King, Daniel J245052 24.34
358 Braga, Fernando245062 29.48
359 Tisdall, Jonathan D244955 29.35
360 Kosten, Anthony C244955 29.44
361 Yap, Andronico244960
362 Cramling, Dan244962 28.90
363 Renet, Olivier244852 23.03
364 Vokác, Marek244858 29.07
365 Barbulescu, Dan244857 23.52
366 Semkov, Semko244859 27.84
367 Damljanovic, Branko244755 26.54
368 Efimov, Igor244770 27.29
369 Kremenetsky, Anatoly M244771 48.96
370 Popov, Luben244773 51.92
371 Renman, Nils Gustaf244761
372 Janovsky, Sergey244576 27.87
373 Radulov, Ivan244555 48.98
374 Schmidt, Wlodzimierz244550 44.72
375 Klinger, Josef244452 20.57
376 Kirov Ivanov, Nino244454 42.31
377 Shtyrenkov, Veniamen244470 29.69
378 Veinger, Itzhak244457 49.49
379 Schulte, Oliver244465 19.03
380 Hermann, Manfred244465 45.33
381 Kraidman, Yair244369 55.16
382 Sorokin, Maxim244368 19.94
383 Kouatly, Bachar244351 29.83
384 Tatai, Stefano244356 49.77
385 Casper, Thomas244254 28.79
386 Saltaev, Mihail244260 25.12
387 Talavera, JC.244169
388 Rachels, Stuart244162 18.26
389 Bielczyk, Jacek244157 34.86
390 Sharif, Mershad244157 35.47
391 Blatny, Pavel244053 19.52
392 Cabrilo, Goran244064 29.50
393 Kolev, Atanas244068 20.46
394 Akesson, Ralf244058 26.90
395 Akhmilovskaya, Elena244067
396 Sznapik, Aleksander243952 36.89
397 Hertneck, Gerald243954 24.29
398 Gruenenwald, Joerg243868 22.57
399 Filipovic, Branko243860 30.23
400 Schlosser, Philipp243767 19.37
401 Malisauskas, Vidmantas243756 24.41
402 Ye Jiangchuan243766 27.11
403 Kallai, Gabor243758 28.86
404 Gruenberg, Hans Ulrich243758 31.97
405 Womacka, Mathias243773 21.51
406 Leski, Marc243766 26.52
407 Trapl, Jindrich243661 45.77
408 Handoko, Edhi243662 27.34
409 Rodriguez Vargas, Orestes243662 44.49
410 Lalev, Dimitar243670 27.95
411 Ryskin, Alexander243672 24.96
412 Spiridonov, Nikola243656 49.84
413 Potts, Alan243567
414 Meyer, E.243576
415 Reeh, Oliver243560 23.94
416 Spassov, Liuben243556 44.77
417 Adams, Michael243463 16.12
418 Hug, Werner243457 35.31
419 Kuligowski, Adam243455 32.02
420 Filipowicz, Andrzej243460 49.63
421 Arkell, Keith C243464 26.97
422 Rigo, Janos243463 39.18
423 Horvath, Tamas243358 36.19
424 Jakobsen, Ole243363 45.20
425 Schoenthier, Frank243373 29.12
426 Wiedenkeller, Michael243254 24.97
427 Imanaliev, Taalaibek243265
428 Manouck, Thierry243275 30.63
429 Ochoa de Echaguen, F Javier243259 33.32
430 Wockenfuss, Klaus243159 36.34
431 Rechlis, Gad243156 20.90
432 Matlak, Marek243154 21.78
433 Schmittdiel, Eckhard243157 27.63
434 Kristiansen, Jens243154 35.60
435 Davies, Nigel R243052 27.42
436 Sendera, Jaroslaw243069 22.68
437 Atalik, Suat243068 23.22
438 Bilek, István243064 55.39
439 Weidemann, Joerg243072 29.77
440 Velickovic, Sasa242973 36.75
441 Robatsch, Karl242954 59.21
442 Motwani, Paul242963 25.55
443 Hamann, Svend242973 47.23
444 Schneider, Attila242858 32.71
445 Nowak, Ignacy242856 38.96
446 Ost Hansen, Jacob242875
447 Trepp, Markus242856
448 Martinovic, Slobodan242759 42.43
449 Howell, James C242766 20.62
450 Ziatdinov, Raset242761 29.01
451 Liang Jinrong242661 27.61
452 Skembris, Spyridon242659 29.86
453 Bany, Jerzy242653 26.82
454 Kuczynski, Robert242552 21.70
455 Ligterink, Gert242553 38.12
456 Prandstetter, Eduard242552 39.04
457 Brueckner, Thomas242461 24.43
458 Doncevic, Dario242464 29.96
459 Ulibin, Mikhail242464 16.58
460 Sanna, Gianlazzaro242376 27.72
461 Reefschlaeger, Helmut242262 43.73
462 Wittmann, Walter242256 39.80
463 Beckemeier, Werner242264 28.21
464 Heinbuch, Detlef242260 26.97
465 Buecker, Peter242270
466 Barczay, Laszlo242257 51.86
467 Benko, Pal C242161 59.46
468 Luther, Thomas242161 18.16
469 Soltis, Andrew E242162 40.59
470 Kelecevic, Nedeljko242171 40.80
471 Rubinetti, Jorge A242160 42.75
472 Conquest, Stuart242152 20.83
473 Lukov, Valentin242058 32.05
474 Komarov, Dimitri242074 19.08
475 Hernandez, Roman241960 38.11
476 Lengyel, Levente241965 54.55
477 Stempin, Pawel241951 28.47
478 Romero Holmes, Alfonso241862 22.59
479 Diaz, Joaquin C241856 39.49
480 Jasnikowski, Zbigniew241855 32.63
481 Mariotti, Sergio241767 41.39
482 Djuric, Stefan241754 32.43
483 Garcia, Gildardo241763 33.81
484 Huss, Andreas241770 37.21
485 Pliester, Leon241665 33.36
486 Ghitescu, Theodor241561 53.93
487 Grivas, Efstratios241568 21.75
488 Hjorth, Greg241575 24.46
489 Tashkhodzhaev, A.241573
490 Shvidler, Eliahu241556 28.03
491 Qi Jingxuan241464 40.14
492 De Wit, Johannes S241473 23.26
493 Bellin, Robert241471 35.50
494 Scheeren, Peter241461 32.42
495 Schoen, Wolfram241358 20.57
496 Pelts, Roman241373 50.80
497 McCambridge, Vincent241364 27.81
498 Sonntag, Hans Hubert241367
499 Karsa, Laszlo241263 32.30
500 Garcia Martinez, Silvino241253 43.49

These ratings, calculated as of December 31, 1987, incorporate all games (against rated opponents) played in the time between January 1, 1987 and December 31, 1987, along with the ratings that were already calculated as of December 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 December 31, 1987. This represents the player's estimated strength on January 1, 1988.

+/- 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 January 1, 1988. The +/- value represents the standard deviation of that estimate; the player's true strength on January 1, 1988 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 January 1, 1988. 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 December 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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