< November 30, 1986     Back to date list    January 31, 1987 >

Top 10 active players as of December 31, 1986


Top 500 active players as of December 31, 1986

  #  

Player Rating +/- Best? 75%? Age
1 Kasparov, Garry K28285071.4% #223.72
2 Karpov, Anatoly E27764819.4% #435.61
3 Tal, Mikhail2692490.9% #2950.14
4 Jussupow, Artur M2691500.9% #3026.88
5 Sokolov, Andrey Y2690500.8% #3123.78
6 Ljubojevic, Ljubomir2687490.7% #3236.16
7 Beliavsky, Alexander G2683490.6% #3533.04
8 Psakhis, Lev B2677490.4% #3828.09
9 Hübner, Robert2669490.3% #4438.15
10 Tukmakov, Vladimir B2667510.3% #4840.79
11 Timman, Jan H2665480.2% #4735.05
12 Portisch, Lajos2665480.2% #4749.74
13 Khalifman, Alexander2664520.3% #4920.95
14 Bareev, Evgeny2664530.4% #5220.11
15 Polugaevsky, Lev A2657510.2% #5652.11
16 Ribli, Zoltán2655490.1% #5535.32
17 Agzamov, Georgy T2655520.2% #5932.31
18 Malaniuk, Vladimir P2653510.1% #5929.44
19 Korchnoi, Viktor L2652480.1% #5955.77
20 Short, Nigel D2651480.1% #5921.58
21 Eingorn, Viacheslav S2647490.1% #6430.10
22 Spassky, Boris V2647490.1% #6449.91
23 Vasiukov, Evgeny A2646650.6% #7553.82
24 Gavrikov, Victor N2646510.1% #6629.42
25 Lerner, Konstantin Z2645490.1% #6636.84
26 Seirawan, Yasser2644500.1% #6726.77
27 Nikolic, Predrag2643510.1% #6926.30
28 Andersson, Ulf2640500.1% #7235.51
29 Nunn, John D M264049 #7031.68
30 Novikov, Igor A2639510.1% #7224.61
31 Chandler, Murray G2637490.1% #7426.74
32 Dolmatov, Sergey V2636510.1% #7627.86
33 Miles, Anthony J263648 #7331.69
34 Vaganian, Rafael A263549 #7635.21
35 Lputian, Smbat G263549 #7628.88
36 Chernin, Alexander M263250 #7926.82
37 Balashov, Yury S262650 #8537.80
38 Gurevich, Mikhail N262652 #8627.86
39 Huzman, Alexander2622570.1% #9424.72
40 Sax, Gyula262150 #9035.54
41 Razuvaev, Yury S262050 #9241.22
42 Torre, Eugenio262053 #9435.16
43 Ehlvest, Jaan261852 #9624.21
44 Gulko, Boris F261852 #9539.89
45 Romanishin, Oleg M261849 #9434.97
46 Salov, Valery B261654 #9922.60
47 Larsen, Bent261351 #10051.82
48 Pintér, József261252 #10133.14
49 Agdestein, Simen261153 #10419.63
50 Geller, Efim P260751 #10661.83
51 Georgiev, Kiril260651 #10721.09
52 Dokhoian, Yury260655 #11022.18
53 Hort, Vlastimil260549 #10742.96
54 Dorfman, Iosif D260554 #11134.66
55 Smagin, Sergey260351 #11028.31
56 Smyslov, Vassily V260151 #11365.77
57 Gelfand, Boris2601680.1% #12618.52
58 Kruppa, Yuri260056 #11922.53
59 Ubilava, Elizbar E260051 #11536.34
60 Azmaiparashvili, Zurab A260051 #11426.79
61 Christiansen, Larry M259951 #11430.51
62 Rashkovsky, Nukhim N259951 #11640.70
63 Dzindzichashvili, Roman Y259859 #12242.65
64 Sveshnikov, Evgeny E259750 #11636.89
65 Makarichev, Sergey Y259757 #12233.12
66 Speelman, Jonathan S259649 #11730.25
67 Kharitonov, Andrey Y259656 #12327.74
68 Yermolinsky, Alex V259654 #12128.72
69 Zaichik, Gennady L259653 #12129.89
70 Yurtaev, Leonid259359 #12727.66
71 Gheorghiu, Florin259051 #12542.73
72 Gipslis, Aivars2590690.1% #13749.90
73 Tseshkovsky, Vitaly V258951 #12642.27
74 Kavalek, Lubomir258952 #12643.39
75 van der Wiel, John T H258949 #12527.39
76 Vyzmanavin, Alexey258853 #12926.99
77 Dvoiris, Semen I258855 #12928.16
78 Timoshchenko, Gennady258856 #13137.68
79 Panno, Oscar R258463 #13951.79
80 Sosonko, Gennadi258451 #13243.62
81 Kuzmin, Gennady P258457 #13540.94
82 Yudasin, Leonid G258450 #13227.40
83 Suba, Mihai258350 #13139.58
84 Rozentalis, Eduardas258356 #13523.59
85 Parma, Bruno2583720.1% #14645.00
86 Kochiev, Alexander258156 #13730.77
87 Mikhalchishin, Adrian B258150 #13432.12
88 Panchenko, Alexander N258054 #13833.24
89 Olafsson, Helgi258051 #13630.38
90 Shneider, Aleksandr257958 #14024.61
91 Chekhov, Valery A257852 #13731.09
92 Nogueiras, Jesus257851 #13727.45
93 Hansen, Curt257750 #13722.29
94 Podgaets, Mikhail Y257760 #14439.44
95 Cámpora, Daniel H257654 #14129.50
96 Vladimirov, Evgeny Y257562 #14829.94
97 Adorján, András257449 #14036.75
98 Tarjan, James E257466 #15134.86
99 Naumkin, Igor2573720.1% #15421.39
100 Chiburdanidze, Maia G257353 #14325.95
101 Marjanovic, Slavoljub257350 31.98
102 Arkhipov, Sergey257055 32.52
103 Neverov, Valery257055 22.53
104 Popovic, Petar257050 27.88
105 Barua, Dibyendu256860 20.18
106 Petrosian, Arshak B256854 33.04
107 Gligoric, Svetozar256852 63.91
108 Savon, Vladimir A256770 46.26
109 Dreev, Alexey256759 17.94
110 Kupreichik, Viktor D256650 37.49
111 Knaak, Rainer F256650 33.79
112 Hulak, Krunoslav256554 35.60
113 Pigusov, Evgeny256552 25.75
114 Ftácnik, Lubomír256549 29.17
115 Kengis, Edvins256455 27.72
116 Quinteros, Miguel A256252 39.01
117 Uhlmann, Wolfgang256251 51.76
118 Yakovich, Yuri256251 24.09
119 Bagirov, Vladimir K256256 50.37
120 Kurajica, Bojan256254 39.13
121 Byrne, Robert E256060 58.70
122 Benjamin, Joel L256052 22.80
123 Gorelov, Sergey G256059 29.37
124 Lobron, Eric255951 26.65
125 Anand, Viswanathan255958 17.05
126 Alburt, Lev O255751 41.36
127 García Gonzáles, Guillermo255751 33.06
128 Murey, Yakov255453 45.41
129 Ivanchuk, Vassily255356 17.79
130 Smirin, Ilia255366 18.94
131 Glek, Igor V255357 25.15
132 Oll, Lembit255253 20.69
133 Ivanov, Igor V255260 39.97
134 Gufeld, Eduard E255258 50.78
135 Smejkal, Jan255049 40.77
136 Matanovic, Aleksandar254969 56.61
137 London, Dimitri254968 24.11
138 Karlsson, Lars254952 31.47
139 Graf, Alexander254964 24.35
140 Najdorf, Miguel254670 76.71
141 Faragó, Iván254649 40.75
142 Garcia Palermo, Carlos254551 33.08
143 Zapata, Alonso254551 28.36
144 Vaisser, Anatoli254452 37.82
145 Taimanov, Mark E254260 60.90
146 Bönsch, Uwe254250 28.21
147 Wedberg, Tom254159 33.10
148 Reshevsky, Samuel H254063 75.10
149 Matulovic, Milan254060 51.56
150 Ekstroem, Roland254074 30.61
151 Henley, Ron W254061 30.07
152 Vorotnikov, Vladislav V253965 39.37
153 Osnos, Viacheslav V253867 51.44
154 Magerramov, Elmar S253868 28.72
155 Kholmov, Ratmir D253856 61.63
156 Fedorowicz, John P253751 28.26
157 Ivkov, Borislav253653 53.13
158 Didishko, Vereslav253663 37.72
159 Goldin, Alexander253657 21.84
160 Kovacevic, Vladimir253555 44.76
161 Arnason, Jon L253551 26.13
162 Kindermann, Stefan253450 27.01
163 Rogers, Ian253350 26.52
164 Morovic Fernández, Iván E253256 23.77
165 Veingold, Aleksander253265 33.22
166 Lau, Ralf253252 27.20
167 Pétursson, Margeir253250 26.88
168 Vitolinš, Alvis253168 40.54
169 Sturua, Zurab253162 27.56
170 Rukavina, Josip253056 44.09
171 Korzubov, Peter252961 24.99
172 Liberzon, Vladimir M252874 49.77
173 Velimirovic, Dragoljub252750 44.63
174 Groszpeter, Attila252753 26.56
175 Adianto, Utut252561 21.79
176 Palatnik, Semen A252557 36.76
177 Hazai, Laszlo252552 33.55
178 Epishin, Vladimir252458 21.47
179 Kantsler, Boris252460 24.71
180 Kaidanov, Gregory S252353 27.22
181 Cvitan, Ognjen252352 25.22
182 Greenfeld, Alon252355 22.70
183 Guseinov, Aidyn252362 34.99
184 Grigorian, Karen A252261 39.32
185 Sunye Neto, Jaime252251 29.66
186 Gruenfeld, Yehuda252253 30.84
187 Dlugy, Maxim252250 20.92
188 Mestel, A Jonathan252152 29.80
189 Gaprindashvili, Nona252062 45.66
190 Csom, István251850 46.58
191 Tringov, Georgy P251756 49.82
192 Inkiov, Ventzislav251650 30.62
193 Ostermeyer, Peter251657 43.22
194 Cifuentes Parada, Roberto251663 29.03
195 deFirmian, Nicholas E251549 29.43
196 Drasko, Milan251554 24.07
197 Velikov, Petar251553 35.75
198 Kuporosov, Viktor251567 25.26
199 Hjartarson, Jóhann251450 23.90
200 Buturin, Vladimir251470 43.12
201 Ivanov, Alexander V251463 30.66
202 Vogt, Lothar H251451 34.95
203 Meduna, Eduard251351 36.30
204 Browne, Walter S251352 37.97
205 Spraggett, Kevin B251251 32.14
206 Aseev, Konstantin N251254 26.20
207 Kuzmin, Alexey251165 23.81
208 Yuferov, Sergey N251174 41.08
209 Georgadze, Tamaz V251157 39.14
210 Georgiev, Krum251153 28.60
211 Cherepkov, Alexander V251073 66.17
212 Barlov, Dragan250951 29.91
213 Mokrý, Karel250849 27.90
214 Cebalo, Mišo250750 41.90
215 Unzicker, Wolfgang250758 61.51
216 Klovans, Janis250663 51.73
217 Watson, William N250653 24.70
218 Hellers, Ferdinand250656 17.92
219 Legky, Nikolay A250670 31.72
220 Olafsson, Fridrik250574 51.92
221 Hodgson, Julian M250551 23.43
222 Podzielny, Karl Heinz250472 32.31
223 Schneider, Lars Ake250459
224 Dizdar, Goran250356 28.07
225 Gomez Baillo, Jorge H250365 27.70
226 Mednis, Edmar J250259 49.77
227 Jansa, Vlastimil250250 44.09
228 Gofshtein, Leonid D250267 33.69
229 Rodriguez, Amador250152 30.31
230 Gutman, Lev250051 41.26
231 Nikolac, Juraj250065 54.69
232 Bischoff, Klaus250054 25.56
233 Lukacs, Peter249950 36.48
234 Petrienko, Vladimir249967 31.81
235 Lukin, Andrei M249865 38.34
236 Wolf, Volker249765 29.32
237 Kovacevic, Vladimir2249768 31.79
238 Birnboim, Nathan249758 36.09
239 Moskalenko, Viktor249562 26.07
240 Vukic, Milan249560 43.37
241 Plaskett, Jim249550 26.79
242 Van der Sterren, Paul249552 30.79
243 Simic, Radoslav249560 38.56
244 Flear, Glenn C249452 27.88
245 Tisdall, Jonathan D249356 28.35
246 Giorgadze, Giorgi249272 22.22
247 Dautov, Rustem249266 21.09
248 Popchev, Milko249255 22.14
249 Ivanovic, Božidar249252 40.35
250 Lombardy, William J249258 49.07
251 Ghinda, Mihail Viorel249254 37.43
252 Klaric, Zlatko249159 30.19
253 Reyes, Juan249173 23.68
254 Staniszewski, Piotr249156 20.32
255 Gurgenidze, Bukhuti I249155 53.13
256 Gurevich, Dmitry249052 30.30
257 Minic, Dragoljub249072 49.82
258 Klundt, Klaus248967 45.02
259 Kogan, Boris248956
260 Haik, Aldo248951 34.20
261 Mnatsakanian, Eduard A248861 48.07
262 Kolarov, Atanas S248871 52.83
263 Fernandez Garcia, Jose Luis248859 32.66
264 Schussler, Harry248852 29.52
265 Lein, Anatoly248853 55.76
266 Kudrin, Sergey248750 27.32
267 Ree, Hans248752 42.29
268 Abramovic, Boško248752 35.88
269 Hawelko, Marek248754 27.39
270 Kurtenkov, Atanas248758 23.41
271 Stohl, Igor248651 22.26
272 Hecht, Hans-Joachim248666 47.92
273 Schmidt, Wlodzimierz248650 43.72
274 Shamkovich, Leonid A248559 63.58
275 Pytel, Krzysztof248461 41.63
276 Barbero, Gerardo F248457 25.36
277 Plachetka, Jan248451 41.87
278 Kirov Ivanov, Nino248353 41.31
279 Donchev, Dimitar I248252 28.44
280 Pfleger, Helmut248259 43.40
281 Wirthensohn, Heinz248259 35.66
282 Ziatdinov, Raset248265 28.01
283 Vera, Reynaldo248254 25.98
284 Illescas Cordoba, Miguel248163 21.08
285 Wiedenkeller, Michael248054 23.97
286 Yrjola, Jouni248053 27.19
287 Vaulin, Alexander248069 29.79
288 Soppe, Guillermo247874 26.29
289 Santo Roman, Marc247863 26.30
290 Portisch, Ferenc247857 47.73
291 Espig, Lutz247754 37.98
292 Petrushin, Alexander I247665 39.81
293 Raicevic, Momcilo247663
294 Ornstein, Axel247556 34.69
295 Lechtynsky, Jiri247552 39.10
296 Rajkovic, Dusan247462 44.54
297 Sigurjónsson, Gudmundur247354 39.27
298 Nikolic, Zivoslav247256 33.05
299 Vokác, Marek247258 28.07
300 Popov, Luben247266 50.92
301 Ionescu, Constantin247257 28.30
302 Sahovic, Dragutin247158 46.40
303 Bielczyk, Jacek247057 33.86
304 Spassov, Liuben247054 43.77
305 Helmers, Knut J246960 29.90
306 Szekely, Peter246953 31.90
307 Tatai, Stefano246754 48.77
308 Pachmann, Ludek246772 62.64
309 Hermann, Manfred246768 44.33
310 Tseitlin, Mikhail S246761 39.54
311 Ermenkov, Evgenij246753 37.26
312 Barbulescu, Dan246657 22.52
313 Kosten, Anthony C246659 28.44
314 Thorsteins, Karl246655 22.22
315 Lanka, Zigurds246667 26.61
316 Lanc, Alois246653 38.87
317 Hebden, Mark246655 28.88
318 Zaitsev, Igor A246667 48.59
319 Frias, Victor J246665 30.89
320 Peters, John A246575 35.89
321 Ernst, Thomas246555 26.37
322 Bilek, István246569 54.39
323 Hertneck, Gerald246557 23.29
324 Horvath, Jozsef246555 22.38
325 Soltis, Andrew E246563 39.59
326 Imanaliev, Taalaibek246469
327 Andres Mendez, Miguel246470
328 Murshed, Niaz246459 20.63
329 Rivas Pastor, Manuel246455 26.47
330 Seret, Jean Luc246469
331 Tischbierek, Raj246351 24.27
332 Prandstetter, Eduard246353 38.04
333 Van Wijgerden, Cornelis246372 36.61
334 Bany, Jerzy246356 25.82
335 Hartston, William R246274 39.38
336 Antunes, Antonio246265 24.90
337 Basin, Leonid246262 29.11
338 Veinger, Itzhak246261 48.49
339 Barczay, Laszlo246265 50.86
340 King, Daniel J246152 23.34
341 Shvidler, Eliahu246061 27.03
342 Efimov, Igor245962 26.29
343 Radulov, Ivan245955 47.98
344 Filipovic, Branko245963 29.23
345 Benko, Pal C245966 58.46
346 Suetin, Alexey S245861 60.12
347 Ligterink, Gert245756 37.12
348 Filipowicz, Andrzej245766 48.63
349 Schneider, Attila245658 31.71
350 Lalev, Dimitar245668 26.95
351 Rakic, Tomislav245671 52.14
352 Renman, Nils Gustaf245660
353 Shabanov, Yury F245569 49.14
354 Ambroz, Jan245560 32.54
355 Mirkovic, Slobodan245573 28.43
356 Eslon, Jaan245466 34.82
357 Karner, Hillar245467 51.43
358 Ardiansyah, Haji245463 35.07
359 Pekarek, Ales245454 25.04
360 Yap, Andronico245455
361 Stoica, Valentin245468 36.88
362 Sharif, Mershad245462 34.47
363 Lalic, Bogdan245363 22.81
364 Xu Jun245264 24.29
365 Loginov, Valery A245261 31.05
366 Akhmilovskaya, Elena245260
367 Ricardi, Pablo245255 24.85
368 Jailjan, M.245174
369 Knezevic, Milorad245151 50.17
370 Handoko, Edhi245161 26.34
371 Piket, Jeroen245159 17.92
372 Polgar, Zsuzsa245152 17.70
373 Spiridonov, Nikola245054 48.84
374 Zagrebelny, Sergey245066
375 Li Zunian245059 28.97
376 Bukal, Vladimir Sr245060 47.16
377 Akesson, Ralf244960 25.90
378 Qi Jingxuan244963 39.14
379 Kristiansen, Jens244953 34.60
380 Womacka, Mathias244965 20.51
381 Velickovic, Sasa244969 35.75
382 Řgaard, Leif244962 34.98
383 Kraidman, Yair244861 54.16
384 Braga, Fernando244858 28.48
385 Orlov, Georgi244869
386 Jakobsen, Ole244858 44.20
387 Wilder, Michael244758 24.29
388 Kolev, Atanas244764 19.46
389 Klinger, Josef244652 19.57
390 Raicevic, Vladimir244658 37.66
391 Gruenenwald, Joerg244569 21.57
392 Manouck, Thierry244466 29.63
393 Sideif Sade, Fikret I244462 34.99
394 Gruenberg, Hans Ulrich244354 30.97
395 Rodriguez, Ruben244372 40.07
396 Wockenfuss, Klaus244257 35.34
397 Dobrovolsky, Ladislav244269 36.02
398 Trepp, Markus244258
399 Thipsay, Praveen Mahadeo244155 27.38
400 Kouatly, Bachar244151 28.83
401 Wittmann, Walter244159 38.80
402 Pelts, Roman244172 49.80
403 Lazic, Miroljub244073 20.51
404 Nun, Jiri244061 29.43
405 Shtyrenkov, Veniamen244071 28.69
406 Heinbuch, Detlef244059 25.97
407 Mariotti, Sergio243964 40.39
408 Bisguier, Arthur B243973 57.23
409 McCambridge, Vincent243860 26.81
410 Casper, Thomas243855 27.79
411 Doncevic, Dario243763 28.96
412 Winants, Luc243758 23.99
413 Ochoa de Echaguen, F Javier243764 32.32
414 Forintos, Gyözö V243757 51.42
415 Sokolov, Ivan243671 18.55
416 Seredenko, Vladimir243672 46.62
417 Nun, Josef243668 53.44
418 Solozhenkin, Evgeniy243668 20.42
419 De Wit, Johannes S243667 22.26
420 Hickl, Joerg243662 21.71
421 Foisor, Ovidiu243554 27.73
422 Lengyel, Levente243559 53.55
423 Garcia Martinez, Silvino243553 42.49
424 Robatsch, Karl243569 58.21
425 Sanna, Gianlazzaro243566 26.72
426 Martinovic, Slobodan243454 41.43
427 Khasin, Alexander243463 35.67
428 Ost Hansen, Jacob243366
429 Doda, Zbigniew243374 55.86
430 Gauglitz, Gernot243263 24.51
431 Zahariev, Zahari243270 25.31
432 Rigo, Janos243160 38.18
433 Tashkhodzhaev, A.243167
434 Kelecevic, Nedeljko243173 39.80
435 Sznapik, Aleksander243052 35.89
436 Schulte, Oliver243060 18.03
437 Cabrilo, Goran242964 28.50
438 Kuligowski, Adam242958 31.02
439 Cramling, Dan242863 27.90
440 Botterill, George Steven242673
441 Romero Holmes, Alfonso242663 21.59
442 Mortensen, Erling242655 31.74
443 Pedersen, Erik242562 28.30
444 Vallifuoco, Giacomo242570 29.66
445 Atalik, Suat242573 22.22
446 Hernandez, Roman242555 37.11
447 Scheeren, Peter242563 31.42
448 Szmetan, Jorge242469 36.60
449 Adamski, Jan242454 43.14
450 Ghitescu, Theodor242470 52.93
451 Semkov, Semko242460 26.84
452 Borm, Franciscus WM242270
453 Garcia, Gildardo242259 32.81
454 Karolyi, Tibor Jr242153 25.13
455 Schweber, Samuel242167 50.46
456 Vilela, Jose Luis242154 33.78
457 Trapl, Jindrich242165 44.77
458 Rubinetti, Jorge A242064 41.75
459 Sisniega, Marcel242061 27.43
460 Horvath, Tamas242057 35.19
461 Hjorth, Greg242066 23.46
462 Blees, Albert242059 24.35
463 Valkesalmi, Kimmo242056 25.66
464 Keitlinghaus, Ludger242064 21.44
465 Sygulski, Artur241952 26.44
466 Zaltsman, Vitaly F241960 45.18
467 Sonntag, Hans Hubert241968
468 Matlak, Marek241961 20.78
469 Biriescu, Ioan241869 33.18
470 Bronstein, Luis241865 40.58
471 Kallai, Gabor241859 27.86
472 Howell, James C241770 19.62
473 Sarwinski, Miroslaw241765 32.95
474 Danailov, Silvio241754 25.69
475 Hartoch, Robert G241660
476 Gerusel, Mathias241672 48.90
477 Hug, Werner241660 34.31
478 Van Riemsdijk, Herman C241668 38.35
479 Milos, Gilberto241655 23.17
480 Bohm, Hans241661 36.95
481 Buecker, Peter241571
482 Ilic, Zoran241570 23.41
483 Blatny, Pavel241454 18.52
484 Peelen, Piet241458 21.38
485 Pribyl, Josef241457 39.22
486 Serper, Grigory241361 17.30
487 Saeed, Saeed Ahmed241367
488 Brueckner, Thomas241363 23.43
489 Barle, Janez241272 34.78
490 Cvetkovic, Srdjan241272 40.84
491 Arkell, Keith C241271 25.97
492 Pliester, Leon241259 32.36
493 Kveinys, Aloyzas241171 24.48
494 Banas, Jan241152 39.58
495 Djuric, Stefan241153 31.43
496 Rasmussen, Karsten241160 21.21
497 Langeweg, Kick241160 49.82
498 Reefschlaeger, Helmut241063 42.73
499 Temirbaev, Serik241060
500 Dizdarevic, Emir241056 28.75

These ratings, calculated as of December 31, 1986, incorporate all games (against rated opponents) played in the time between January 1, 1986 and December 31, 1986, along with the ratings that were already calculated as of December 31, 1985. 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, 1986. This represents the player's estimated strength on January 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 January 1, 1987. The +/- value represents the standard deviation of that estimate; the player's true strength on January 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 January 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 December 31, 1986. 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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