< November 30, 1998     Back to date list    January 11, 1999 >

Top 10 active players as of December 31, 1998

  #  

Player Rating +/-
1 Kasparov, Garry K284848
2 Kramnik, Vladimir281247
3 Anand, Viswanathan281147
4 Ivanchuk, Vassily276047
5 Shirov, Alexei275447
6 Gelfand, Boris274348
7 Karpov, Anatoly E273947
8 Kamsky, Gata273655
9 Adams, Michael272347
10 Svidler, Peter271448

About these ratings

Top 500 active players as of December 31, 1998

  #  

Player Rating +/- Best? 75%? Age
1 Kasparov, Garry K28484851.1% #335.72
2 Kramnik, Vladimir28124719.1% #523.52
3 Anand, Viswanathan28114718.2% #529.05
4 Ivanchuk, Vassily2760472.8% #1129.79
5 Shirov, Alexei2754472.0% #1326.49
6 Gelfand, Boris2743481.5% #1530.52
7 Karpov, Anatoly E2739471.0% #1647.61
8 Kamsky, Gata2736552.0% #1924.58
9 Adams, Michael2723470.5% #2127.12
10 Svidler, Peter2714480.3% #2522.54
11 Morozevich, Alexander2710480.3% #2721.45
12 Short, Nigel D2709480.3% #2833.58
13 Topalov, Veselin2705470.2% #2923.79
14 Bareev, Evgeny2702490.2% #3132.11
15 Polgar, Judit2696480.1% #3522.44
16 Rublevsky, Sergei2691500.1% #3824.21
17 Leko, Peter2687490.1% #4019.31
18 Georgiev, Kiril267849 #4633.09
19 Zvjaginsev, Vadim267049 #5222.37
20 Beliavsky, Alexander G266547 #5745.04
21 Gurevich, Mikhail N266448 #5739.86
22 Dreev, Alexey266348 #5929.95
23 Timman, Jan H266247 #5847.05
24 Almasi, Zoltan266148 #6022.34
25 Salov, Valery B266050 #6334.60
26 Azmaiparashvili, Zurab A265951 #6438.79
27 Onischuk, Alexander265749 #6423.33
28 Khalifman, Alexander265547 #6532.95
29 Sokolov, Ivan265447 #6630.55
30 Krasenkow, Michal265448 #6735.13
31 Akopian, Vladimir265150 #7227.07
32 Seirawan, Yasser265053 #7438.77
33 Sakaev, Konstantin264949 #7224.72
34 Sadler, Matthew264748 #7524.63
35 Tiviakov, Sergei263847 #8325.88
36 Korchnoi, Viktor L263547 #8667.77
37 Chernin, Alexander M263248 #9138.82
38 Nikolic, Predrag263148 #9238.30
39 Movsesian, Sergei263147 #9020.16
40 Jussupow, Artur M263048 #9238.88
41 Milov, Vadim262850 #9626.41
42 Smirin, Ilia262749 #9730.94
43 van Wely, Loek262646 #9526.23
44 Oll, Lembit262649 #9732.69
45 Piket, Jeroen262646 #9629.93
46 Lautier, Joel262447 #9825.72
47 Shipov, Sergei262350 #10132.70
48 Khenkin, Igor262048 #10430.78
49 Christiansen, Larry M261950 #10642.51
50 Vaganian, Rafael A261849 #10847.21
51 Graf, Alexander261751 #11036.35
52 Dautov, Rustem261649 #10933.09
53 Gulko, Boris F261550 #11151.89
54 Hellers, Ferdinand261458 #12029.93
55 Fedorov, Alexei261349 #11426.26
56 Dolmatov, Sergey V261152 #11939.86
57 Lputian, Smbat G260950 #11940.88
58 Epishin, Vladimir260847 #11933.47
59 Tkachiev, Vladislav260850 #12025.14
60 Hansen, Curt260749 #12034.29
61 Hracek, Zbynek260648 #12128.31
62 Sturua, Zurab260651 #12339.56
63 Yermolinsky, Alex V260649 #12240.72
64 Granda Zuńiga, Julio E260551 #12431.85
65 Ljubojevic, Ljubomir260450 #12548.16
66 Lutz, Christopher260449 #12327.85
67 deFirmian, Nicholas E260249 #12741.43
68 Giorgadze, Giorgi260148 #12734.22
69 Kharlov, Andrei259849 #13230.11
70 Miles, Anthony J259747 #13143.69
71 Hjartarson, Jóhann259651 #13435.90
72 Speelman, Jonathan S259648 #13342.25
73 Minasian, Artashes259652 #13731.94
74 Beim, Valery259550 #13548.79
75 Aleksandrov, Aleksej259549 #13525.64
76 Atalik, Suat259448 #13534.22
77 Ehlvest, Jaan259347 #13536.21
78 Alterman, Boris259349 #13828.66
79 Ibragimov, Ildar259248 #13731.37
80 Sutovsky, Emil259149 #13821.28
81 Hansen, Lars Bo259153 #14130.27
82 Eingorn, Viacheslav S259050 #14242.10
83 Nunn, John D M258952 #14443.68
84 Korneev, Oleg258947 #13929.43
85 Bologan, Viktor258848 #14127.05
86 Hübner, Robert258849 #14250.15
87 Rozentalis, Eduardas258848 #14335.59
88 Voitsekhovsky, Stanislav258751 #14534.40
89 Rogers, Ian258748 #14338.52
90 Polgar, Zsuzsa258761 #15229.70
91 Fominyh, Alexander258550 #14639.54
92 Yakovich, Yuri258548 #14636.09
93 Kavalek, Lubomir258567 #15855.39
94 Morovic Fernández, Iván E258350 #14835.77
95 Magerramov, Elmar S258366 #15940.72
96 Hodgson, Julian M258248 #14935.43
97 Kasimdzhanov, Rustam258251 #15019.07
98 Kožul, Zdenko258248 #14932.61
99 Andersson, Ulf258149 #14947.51
100 Baburin, Alexander258151 #15231.87
101 Timoshenko, Georgy258150 32.58
102 Volkov, Sergey258049 24.90
103 Bochkarev, Alexander257966 23.66
104 Adianto, Utut257950 33.79
105 Benjamin, Joel L257950 34.80
106 Novikov, Igor A257949 36.61
107 Avrukh, Boris257850 20.97
108 Ribli, Zoltán257850 47.32
109 Sveshnikov, Evgeny E257849 48.89
110 Kaidanov, Gregory S257753 39.22
111 Kuzmin, Alexey257568 35.81
112 Illescas Cordoba, Miguel257548 33.08
113 Psakhis, Lev B257549 40.09
114 Shabalov, Alexander257550 31.30
115 Balashov, Yury S257548 49.80
116 Wahls, Matthias257450 30.93
117 Stefansson, Hannes257448 26.45
118 Filippov, Valerij257448 23.09
119 Gabriel, Christian257349 23.83
120 Kotronias, Vasilios257350 34.35
121 Huzman, Alexander257252 36.72
122 Guseinov, Aidyn257158 46.99
123 Peng Xiaomin257153 25.73
124 Milos, Gilberto257152 35.17
125 Romanishin, Oleg M257148 46.97
126 Ftácnik, Lubomír257148 41.17
127 Tukmakov, Vladimir B257049 52.79
128 Goldin, Alexander256952 33.84
129 Razuvaev, Yury S256952 53.22
130 Torre, Eugenio256954 47.16
131 Hickl, Joerg256950 33.71
132 Vaisser, Anatoli256850 49.82
133 Lalic, Bogdan256847 34.81
134 Komarov, Dimitri256849 30.08
135 Wolff, Patrick G256759 30.88
136 Tregubov, Pavel V256649 27.03
137 Dvoiris, Semen I256649 40.16
138 Malaniuk, Vladimir P256647 41.44
139 Ponomariov, Ruslan256552 15.22
140 Stohl, Igor256548 34.26
141 Dorfman, Iosif D256550 46.66
142 Gurevich, Dmitry256449 42.30
143 Palac, Mladen256447 27.87
144 Ye Jiangchuan256453 38.11
145 Pigusov, Evgeny256451 37.75
146 Lastin, Alexander256352 22.17
147 Gavrikov, Victor N256352 41.42
148 Pintér, József256349 45.14
149 Wojtkiewicz, Aleksander256348 35.96
150 Xu Jun256255 36.29
151 Savchenko, Stanislav256250 31.94
152 Ionov, Sergey256252 36.98
153 Asrian, Karen256251 18.69
154 Mikhalchishin, Adrian B256053 44.12
155 Shneider, Aleksandr255755 36.61
156 Kruppa, Yuri255752 34.53
157 Pétursson, Margeir255754 38.88
158 Antonio, Rogelio Jr255653 36.87
159 Damljanovic, Branko255649 37.54
160 Shariyazdanov, Andrey255649 22.47
161 Lerner, Konstantin Z255550 48.84
162 Chiburdanidze, Maia G255450 37.95
163 Fedorowicz, John P255454 40.26
164 Ikonnikov, Vyacheslav255452 32.79
165 Ulibin, Mikhail255448 27.58
166 Lobron, Eric255350 38.65
167 Varga, Z.255361 28.47
168 Vyzmanavin, Alexey255357 38.99
169 Nisipeanu, Liviu Dieter255249 22.41
170 Podgaets, Mikhail Y255163 51.44
171 Yudasin, Leonid G255150 39.40
172 Kharitonov, Andrey Y255150 39.74
173 Dzindzichashvili, Roman Y255058 54.65
174 Solozhenkin, Evgeniy255050 32.42
175 Malakhov, Vladimir255053 18.09
176 Emms, John M254950 31.80
177 Hertneck, Gerald254750 35.29
178 Pugachov, Alexey254773 33.34
179 Smagin, Sergey254655 40.31
180 Anastasian, Ashot254653 34.46
181 Sulskis, Sarunas254651 26.10
182 Nielsen, Peter Heine254648 25.60
183 Glek, Igor V254548 37.15
184 Agdestein, Simen254552 31.63
185 Shchekachev, Andrei254350 26.18
186 Sokolov, Andrey Y254350 35.78
187 Spraggett, Kevin B254350 44.14
188 Burmakin, Vladimir254348 31.57
189 Sorokin, Maxim254350 30.94
190 Spasov, Vasil254354 27.87
191 Rechlis, Gad254357 31.90
192 Wu Shaobin254265 29.91
193 Sherbakov, Ruslan254249 29.30
194 Zhang Zhong254252 20.32
195 Bacrot, Etienne254249 15.94
196 Spassky, Boris V254152 61.92
197 Makarov, Marat254052 35.65
198 Kosashvili, Yona254060 28.49
199 Tseshkovsky, Vitaly V254051 54.27
200 Leitao, Rafael254051 19.01
201 Delchev, Aleksander253949 27.46
202 Yemelin, Vasily253950 22.91
203 Cvitan, Ognjen253947 37.22
204 Kengis, Edvins253850 39.72
205 Kiriakov, Petr253751 23.97
206 Sax, Gyula253749 47.54
207 Kacheishvili, Giorgi253753 21.89
208 Dizdar, Goran253749 40.07
209 Ilincic, Zlatko253751 30.64
210 Baklan, Vladimir253651 20.85
211 Zelcic, Robert253548 33.28
212 Golubev, Mihail253453 28.59
213 Poluljahov, Aleksandr253349 33.57
214 Brodsky, Michail253250 29.76
215 Kindermann, Stefan253249 39.01
216 Orlov, Georgi253272
217 Iuldachev, Saidali253254 30.92
218 Kobalija, Mihail253150 20.66
219 Velimirovic, Dragoljub253151 56.63
220 Aseev, Konstantin N253150 38.20
221 Kuzmin, Gennady P253151 52.95
222 Schandorff, Lars253049 33.70
223 Watson, William N253061 36.70
224 Bezgodov, Alexei253053 29.50
225 Hort, Vlastimil252952 54.97
226 Wang Zili252957 30.55
227 Sermek, Drazen252948 29.92
228 Hamdouchi, Hichem252950 26.23
229 Kishnev, Sergey252957 42.16
230 Vera, Reynaldo252850 37.98
231 Cámpora, Daniel H252852 41.50
232 Tischbierek, Raj252851 36.27
233 Adorján, András252754 48.75
234 Soffer, Ram252754 33.32
235 Dao Thien Hai252750 20.64
236 Shabanov, Yury F252759 61.14
237 Markovic, Miroslav252752 25.65
238 Vasiukov, Evgeny A252760 65.82
239 Kurajica, Bojan252649 51.13
240 Ivanov, Alexander V252655 42.66
241 Miladinovic, Igor252550 24.93
242 Portisch, Lajos252550 61.74
243 Nogueiras, Jesus252550 39.45
244 Ivanov, Sergey252550 37.26
245 Serper, Grigory252554 29.30
246 Moroz, Alexander252455 37.95
247 Babula, Vlastimil252448 25.25
248 Dlugy, Maxim252474 32.92
249 Landa, Konstantin252450 26.61
250 Ginsburg, Gennadij252459 27.39
251 Galliamova, Alisa252352 26.95
252 Zakharevich, Igor252351 35.46
253 Golod, Vitali252351 27.51
254 Rustemov, Alexander252250 25.48
255 Bönsch, Uwe252152 40.21
256 Agrest, Evgenij252149 32.38
257 Arkhangelsky, Boris252168 67.94
258 Irzhanov, Ruslan252154 22.09
259 van der Wiel, John T H252149 39.39
260 Malisauskas, Vidmantas252154 35.41
261 Ivanov, Alexander V2252072 42.66
262 Greenfeld, Alon252051 34.70
263 Bischoff, Klaus251948 37.56
264 Horváth, Csaba251948 30.57
265 Van der Sterren, Paul251949 42.79
266 Barua, Dibyendu251851 32.18
267 Podzielny, Karl Heinz251862 44.31
268 Smikovski, Ivan251866 26.55
269 Browne, Walter S251859 49.97
270 Loginov, Valery A251749 43.05
271 Mikhalevski, Victor251749 26.47
272 Hector, Jonny251748 34.88
273 Chuchelov, Vladimir251751 29.26
274 Shulman, Yuri251749 23.67
275 Neverov, Valery251651 34.53
276 Luther, Thomas251648 29.16
277 Cramling, Pia251649 35.69
278 Dervishi, Erald251554 19.14
279 Gleizerov, Evgeny251551 35.78
280 Rytshagov, Mikhail251549 31.13
281 Feygin, Michail251560 23.91
282 Frolov, Artur251568 28.42
283 Zezulkin, Jurij251555 27.37
284 Kotsur, Pavel251554 24.99
285 Zaichik, Gennady L251467 41.89
286 Temirbaev, Serik251454
287 Comas Fabrego, Luis251451 27.52
288 Zarubin, Pavel251463 30.88
289 Istratescu, Andrei251349 23.08
290 Fishbein, Alexander251368 30.65
291 Haba, Petr251349 33.98
292 Kiselev, Sergey251352 37.30
293 Kumaran, Dharshan251360 23.57
294 Rodriguez, Amador251352 42.31
295 Arnason, Jon L251366 38.13
296 Nikolenko, Oleg251257 39.53
297 Enders, Peter251251 35.91
298 King, Daniel J251254 35.34
299 Ubilava, Elizbar E251154 48.34
300 Krivonosov, Oleg251159 37.64
301 Sagalchik, Gennadij251163 29.69
302 Vorotnikov, Vladislav V251155 51.37
303 Galkin, Alexander251150 19.91
304 Dizdarevic, Emir251150 40.75
305 Spangenberg, Hugo251049 23.11
306 Gorelov, Sergey G251070 41.37
307 Danielian, Oganes251058
308 Mueller, Karsten251052 28.11
309 Slobodjan, Roman250949 23.99
310 Krakops, Maris250955 20.74
311 Lugovoi, Aleksei250949 23.82
312 Ruzele, Darius250853 30.68
313 Sunye Neto, Jaime250853 41.66
314 Nijboer, Friso250848 33.60
315 Hebden, Mark250750 40.88
316 Zagrebelny, Sergey250751
317 Reinderman, Dimitri250650 26.38
318 Sosonko, Gennadi250654 55.62
319 Bezold, Michael250649 26.61
320 Kveinys, Aloyzas250651 36.48
321 Magem Badals, Jordi250648 31.35
322 Marin, Mihail250549 33.69
323 Polovodin, Igor A250567 43.77
324 Finkel, Alexander250552 23.99
325 Markowski, Tomasz250548 23.42
326 Darga, Klaus V250466 64.85
327 Kudrin, Sergey250452 39.32
328 Shmuter, Leonid250462 29.66
329 Horvath, Jozsef250349 34.38
330 Xie Jun250349 28.17
331 Hernandez, Gilberto250351
332 Levin, Felix250353 40.15
333 Timoshchenko, Gennady250350 49.68
334 Zubarev, Alexander250360 47.52
335 Chernyshov, Konstantin250355 31.55
336 Faragó, Iván250248 52.75
337 Liang Jinrong250260 38.61
338 Popov, Valerij250251 24.31
339 Rashkovsky, Nukhim N250251 52.70
340 Turov, Maxim250253 19.07
341 Schlosser, Philipp250150 30.37
342 Krogius, Nikolay V250165 68.44
343 Kantsler, Boris250153 36.71
344 Yurtaev, Leonid250153 39.66
345 Lesiege, Alexandre250052 23.37
346 Sokolovs, Andrei250057 26.86
347 Drasko, Milan250051 36.07
348 Kolev, Atanas249955 31.46
349 Jakubiec, Artur249958 25.08
350 Wedberg, Tom249953 45.10
351 Zontakh, Andrey249952 28.16
352 Zilberman, Yaacov249953 44.60
353 Khasin, Alexander249956 47.67
354 Larsen, Bent249853 63.82
355 Pavlovic, Milos249852 34.98
356 Djuric, Stefan249851 43.43
357 Ricardi, Pablo249850 36.85
358 Vaulin, Alexander249748 41.79
359 Strikovic, Aleksa249751 37.63
360 Godena, Michele249748 31.50
361 Lanka, Zigurds249750 38.61
362 Didishko, Vereslav249752 49.72
363 Mitenkov, Alexey249661 37.81
364 Gausel, Einar249649 35.09
365 Akesson, Ralf249648 37.90
366 Palatnik, Semen A249662 48.76
367 Apicella, Manuel249552 28.70
368 Maiorov, Oleg249552 27.44
369 Suba, Mihai249554 51.58
370 Tsesarsky, Ilya249556 39.23
371 Ivanovic, Božidar249556 52.35
372 Teske, Henrik249449 30.84
373 Gallagher, Joseph G249448 34.66
374 Conquest, Stuart249449 31.83
375 Kalinitschew, Sergey249453 42.91
376 Manor, Ilan249455 29.18
377 Volzhin, Alexander249451 27.91
378 Hansen, Sune Berg249351 27.69
379 Garcia Ilundain, David249350 27.75
380 Degraeve, Jean Marc249249 27.93
381 Davies, Nigel R249252 38.42
382 Mikhaletz, Lubomir249253 24.38
383 Totsky, Leonid249252 31.39
384 Olafsson, Helgi249252 42.38
385 Vogt, Lothar H249252 46.95
386 Gyimesi, Zoltan249149 21.75
387 Georgiev, Vladimir249151 23.34
388 Kempinski, Robert249149 21.47
389 Cebalo, Mišo249148 53.90
390 Nevednichy, Vladislav249149 29.33
391 Mukhametov, Eldar249059 29.61
392 Polgar, Sofia249053 24.16
393 Smejkal, Jan249052 52.77
394 Sokolin, Leonid M249062
395 Dragomarezkij, Evgeni249057 45.95
396 Smyslov, Vassily V248952 77.77
397 Kazhgaleyev, Murtas248960
398 Chandler, Murray G248856 38.74
399 Bagirov, Vladimir K248851 62.37
400 Gofshtein, Leonid D248849 45.69
401 Hulak, Krunoslav248752 47.60
402 Arencibia, Walter248749 31.44
403 Zifroni, Dov248753 22.87
404 Notkin, Maksim248753 35.05
405 Rausis, Igors248748 37.73
406 Saltaev, Mihail248751 36.12
407 Arkhipov, Sergey248758 44.52
408 Nadyrhanov, Sergey248755 35.26
409 Thorsteins, Karl248775 34.22
410 Plaskett, Jim248651 38.79
411 Cifuentes Parada, Roberto248650 41.03
412 Kosic, Dragan248654 28.88
413 Stanec, Nikolaus248648 30.67
414 Najer, Evgeniy248653 21.52
415 Vakhidov, Tahir248656
416 Lau, Ralf248551 39.20
417 Johansen, Darryl K248559 39.91
418 Yandemirov, Valeri248550 35.89
419 Frias, Victor J248565 42.89
420 Chekhov, Valery A248557 43.09
421 Akhmadeev, Vadim248461 42.47
422 Joachim, Sven248462 29.58
423 Zakharstov, Viacheslav V248462 30.75
424 Barsov, Alexei248452
425 Dokutchaev, Aleksander248458 26.58
426 Maksimenko, Andrei248451 29.07
427 Shtyrenkov, Veniamen248454 40.69
428 Veingold, Aleksander248449 45.22
429 Belikov, Vladimir248454 27.41
430 Kogan, Artur248448 24.92
431 Zoler, Dan248453 24.95
432 Kalinin, Alexander248468 30.60
433 Maljutin, Evgeni248471 27.17
434 Tseitlin, Mark D248452 55.27
435 Danielsen, Henrik248352 32.94
436 Berelovich, Aleksandar248351 31.50
437 Vescovi, Giovanni P248250 20.55
438 Liss, Eran248253 23.50
439 Grivas, Efstratios248151 32.75
440 Knaak, Rainer F248155 45.79
441 Van den Doel, Erik248148 19.63
442 Bagaturov, Giorgi248153 34.09
443 Liiva, Riho248158 23.49
444 Macieja, Bartlomiej248050 21.24
445 Movsziszian, Karen248051 35.98
446 Moskalenko, Viktor248056 38.07
447 Howell, James C248060 31.62
448 Petrosian, Arshak B247957 45.04
449 Iskusnyh, Sergei247950 24.32
450 Marciano, David247949 29.49
451 Kaminski, Marcin247950 21.81
452 Gdanski, Jacek247850 28.09
453 Rogozenko, Dorian247849 25.37
454 Annageldyev, Orazly247869 38.78
455 Grabarczyk, Miroslaw247851 27.99
456 Kovacevic, Vladimir247851 56.76
457 Bauer, Christian247749 21.97
458 Ye Rongguang247756 35.24
459 Zarnicki, Pablo247750 26.13
460 Parker, Jonathan247654 22.62
461 Reprintsev, Alexander247659 40.06
462 Brenninkmeijer, Joris247667 29.30
463 Miralles, Gilles247653 32.90
464 Blatny, Pavel247548 30.52
465 Kovalev, Andrei247556 37.15
466 Nikolaidis, Ioannis247551 27.98
467 Popchev, Milko247553 34.14
468 Egin, Vladimir247557
469 Hug, Werner247455 46.31
470 Hall, Jesper247451 27.46
471 Efimov, Igor247448 38.29
472 Mesropov, Konstantin247474 27.59
473 Piskov, Yury247458 37.22
474 Ionescu, Constantin247450 40.30
475 Simonovic, Aleksandar247464 30.16
476 Goloshchapov, Alexander247456 20.93
477 Hasangatin, Ramil247454 26.50
478 Quinteros, Miguel A247462 51.01
479 Kholmov, Ratmir D247351 73.63
480 Arbakov, Valentin247355 46.93
481 Ovetchkin, Roman247355 25.96
482 Rodriguez, Andres247250 25.03
483 Kallai, Gabor247252 39.86
484 Popovic, Petar247251 39.88
485 Fercec, Nenad247251 37.72
486 Mikhalevski, Alexander247254 40.80
487 Hauchard, Arnaud247149 27.13
488 Legky, Nikolay A247152 43.72
489 Gavrilakis, Nikolaos247165 43.77
490 Ioseliani, Nana247150 36.88
491 Prusikhin, Mihailo247154 20.95
492 Dimitrov, Vladimir247152 30.72
493 Stangl, Markus247153 29.67
494 Tisdall, Jonathan D247153 40.35
495 Ward, Christopher247049 30.76
496 Gruenfeld, Yehuda247061 42.84
497 Gil Capape, Javier247066 31.64
498 Uhlmann, Wolfgang247051 63.76
499 Kosten, Anthony C247051 40.44
500 Heinemann, Thies246953 27.82

These ratings, calculated as of December 31, 1998, incorporate all games (against rated opponents) played in the time between January 1, 1998 and December 31, 1998, along with the ratings that were already calculated as of December 31, 1997. 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, 1998. This represents the player's estimated strength on January 1, 1999.

+/- 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, 1999. The +/- value represents the standard deviation of that estimate; the player's true strength on January 1, 1999 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, 1999. 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, 1998. 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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