136:
1.96) the RD is added and subtracted from their rating to calculate this range. After a game, the amount the rating changes depends on the RD: the change is smaller when the player's RD is low (since their rating is already considered accurate), and also when their opponent's RD is high (since the opponent's true rating is not well known, so little information is being gained). The RD itself decreases after playing a game, but it will increase slowly over time of inactivity.
5524:
3025:
3039:
1533:
which measures the degree of expected fluctuation in a player’s rating, based on how erratic the player's performances are. For instance, a player's rating volatility would be low when they performed at a consistent level, and would increase if they had exceptionally strong results after that period
324:
is the amount of time (rating periods) since the last competition and '350' is assumed to be the RD of an unrated player. If several games have occurred within one rating period, the method treats them as having happened simultaneously. The rating period may be as long as several months or as short
345:
is based on the uncertainty of a player's skill over a certain amount of time. It can be derived from thorough data analysis, or estimated by considering the length of time that would have to pass before a player's rating deviation would grow to that of an unrated player. If it is assumed that it
135:
The
Reliability Deviation (RD) measures the accuracy of a player's rating, where the RD is equal to one standard deviation. For example, a player with a rating of 1500 and an RD of 50 has a real strength between 1400 and 1600 (two standard deviations from 1500) with 95% confidence. Twice (exact:
2604:
708:
1280:
1406:
The function of the prior RD calculation was to increase the RD appropriately to account for the increasing uncertainty in a player's skill level during a period of non-observation by the model. Now, the RD is updated (decreased) after the series of games:
3009:
994:
2856:
2327:
1504:
2100:
822:
2407:
2194:
300:
492:
506:
346:
would take 100 rating periods for a player's rating deviation to return to an initial uncertainty of 350, and a typical player has a rating deviation of 50 then the constant can be found by solving
1048:
1054:
397:
2752:
1704:
828:
1652:
3367:
1756:
1396:
2696:
2865:
1976:
2380:
1796:
1531:
2661:
2200:
1340:
211:
2400:
2354:
1580:
1369:
1308:
2766:
1560:
181:
2626:
1776:
1600:
417:
343:
322:
1982:
717:
3189:
1412:
4075:
3298:
2599:{\displaystyle f(x)={\frac {1}{2}}{\frac {e^{x}(\Delta ^{2}-\phi ^{2}-v-e^{x})}{(\phi ^{2}+v+e^{x})^{2}}}-{\frac {x-\ln({\sigma ^{2}})}{\tau ^{2}}},}
3013:
These ratings and RDs are on a different scale than in the original Glicko algorithm, and would need to be converted to properly compare the two.
2109:
3503:
218:
3162:
5304:
703:{\displaystyle r=r_{0}+{\frac {q}{{\frac {1}{RD^{2}}}+{\frac {1}{d^{2}}}}}\sum _{i=1}^{m}{g(RD_{i})(s_{i}-E(s|r_{0},r_{i},RD_{i}))}}
4861:
3676:
3445:
3365:
427:
5319:
5279:
5299:
5294:
3671:
1000:
4851:
3109:
1275:{\displaystyle d^{2}={\frac {1}{q^{2}\sum _{i=1}^{m}{(g(RD_{i}))^{2}E(s|r_{0},r_{i},RD_{i})(1-E(s|r_{0},r_{i},RD_{i}))}}}}
5239:
5102:
5092:
4856:
3496:
3458:
5377:
4847:
4842:
3592:
4170:
3471:
3266:
5314:
5214:
5107:
5077:
3380:
3135:
2673:
for details on how this would be done). Once this iterative procedure is complete, we set the new rating volatility
5284:
5274:
5192:
5082:
3832:
3827:
349:
92:
5269:
5259:
3780:
3185:
3079:
5264:
5254:
5249:
3917:
3879:
3489:
3432:
3406:
3393:
3353:
3327:
989:{\displaystyle E(s|r_{0},r_{i},RD_{i})={\frac {1}{1+10^{\left({\frac {g(RD_{i})(r_{0}-r_{i})}{-400}}\right)}}}}
3419:
5559:
5399:
5309:
5244:
4825:
4587:
4138:
3747:
1657:
17:
3567:
3291:
4663:
4143:
2703:
1605:
1513:
Glicko-2 works in a similar way to the original Glicko algorithm, with the addition of a rating volatility
56:
two-player games. The Glicko rating system was invented by Mark
Glickman in 1995 as an improvement on the
5554:
5413:
5362:
5072:
3557:
144:
5486:
5464:
5372:
5357:
5021:
4973:
4968:
4958:
4626:
4304:
4148:
31:
5418:
5352:
5202:
5097:
4946:
3004:{\displaystyle \mu '=\mu +\phi '^{2}\sum _{j=1}^{m}g(\phi _{j})\{s_{j}-E(\mu ,\mu _{j},\phi _{j})\}.}
2663:. An efficient way of solving this would be to use the Illinois algorithm, a modified version of the
1709:
1374:
5394:
5367:
5209:
4931:
4324:
4319:
4276:
4175:
3236:
Perpetual Chess
Improvement: Practical Chess Advice from World-Class Players and Dedicated Amateurs
4010:
2670:
1803:
5503:
5033:
4698:
3646:
3602:
3597:
86:
Both the Glicko and Glicko-2 rating systems are under public domain and have been implemented on
4044:
3158:
5087:
5016:
4314:
4160:
4065:
3910:
3842:
2786:
2359:
2322:{\displaystyle E(\mu ,\mu _{j},\phi _{j})={\frac {1}{1+\exp\{-g(\phi _{j})(\mu -\mu _{j})\}}}.}
3212:
2676:
5219:
5142:
5028:
4728:
4723:
4410:
4133:
4092:
3874:
3686:
3631:
2851:{\displaystyle \phi '=1{\Big /}{\sqrt {{\frac {1}{\phi ^{2}+\sigma '^{2}}}+{\frac {1}{v}}}},}
1781:
1516:
139:
The Glicko-2 rating system improves upon the Glicko rating system and further introduces the
2631:
1315:
186:
64:. Glickman's principal contribution to measurement is "ratings reliability", called RD, for
4936:
4873:
4832:
4793:
4575:
4565:
4495:
4309:
4240:
4165:
4050:
3849:
3536:
3512:
2385:
2339:
1565:
1347:
1286:
1545:
8:
5384:
5164:
4916:
4803:
4773:
4743:
4715:
4688:
4631:
4532:
4500:
4460:
4415:
4128:
4070:
3945:
3893:
3888:
3815:
3773:
3052:
61:
4926:
3442:
2095:{\displaystyle \Delta =v\sum _{j=1}^{m}g(\phi _{j})\{s_{j}-E(\mu ,\mu _{j},\phi _{j})\}}
163:
143:σ. A very slightly modified version of the Glicko-2 rating system is implemented by the
5491:
5389:
5132:
4941:
4582:
4470:
4433:
4082:
3950:
3582:
3577:
3562:
2611:
1761:
1585:
1534:
of consistency. A simplified explanation of the Glicko-2 algorithm is presented below:
817:{\displaystyle g(RD_{i})={\frac {1}{\sqrt {1+{\frac {3q^{2}(RD_{i}^{2})}{\pi ^{2}}}}}}}
402:
328:
307:
67:
1499:{\displaystyle RD'={\sqrt {\left({\frac {1}{RD^{2}}}+{\frac {1}{d^{2}}}\right)^{-1}}}}
501:
The new ratings, after a series of m games, are determined by the following equation:
5474:
5347:
5159:
5117:
5048:
5000:
4983:
4963:
4815:
4753:
4693:
4668:
4515:
4480:
4475:
4455:
4443:
4286:
4254:
4220:
4200:
4037:
4031:
3992:
3859:
3636:
3617:
80:
57:
5469:
5342:
5184:
5127:
5038:
4988:
4837:
4783:
4778:
4768:
4683:
4604:
4594:
4570:
4537:
4109:
4023:
3797:
3572:
121:
5434:
5408:
5229:
5224:
5174:
5112:
4921:
4896:
4881:
4678:
4636:
4619:
4520:
4438:
4400:
4378:
4363:
4294:
4271:
4230:
4225:
4104:
4087:
3927:
3541:
3475:
3462:
3449:
3436:
3423:
3410:
3397:
3384:
3371:
3357:
98:
4703:
4614:
79:
Mark
Glickman created the Glicko rating system in 1995 as an improvement on the
5533:
5449:
5197:
5043:
4906:
4901:
4738:
4733:
4599:
4557:
4527:
4356:
4299:
4187:
4155:
4121:
4114:
4099:
4060:
4055:
3982:
3977:
3822:
3766:
3722:
3712:
3526:
3105:
325:
as a few minutes, according to how frequently games are arranged. The constant
3455:
5548:
5508:
5498:
5481:
5154:
5137:
5064:
4953:
4911:
4891:
4673:
4655:
4646:
4609:
4542:
4465:
4450:
4405:
4388:
4383:
4373:
4205:
3967:
3905:
3707:
53:
2189:{\displaystyle g(\phi _{j})={\frac {1}{\sqrt {1+3\phi _{j}^{2}/\pi ^{2}}}},}
5528:
5454:
5439:
5169:
4995:
4978:
4886:
4820:
4763:
4758:
4490:
4485:
4425:
4368:
4259:
4215:
3987:
3972:
3962:
3898:
3864:
3837:
3805:
3732:
3691:
3681:
3626:
3531:
3468:
3255:
3030:
2665:
110:
3377:
3072:
4808:
4798:
4547:
4510:
4393:
4004:
3999:
3957:
3810:
3737:
3727:
3131:
87:
3481:
5444:
4505:
4341:
4331:
4264:
4248:
3940:
3742:
3717:
116:
4011:
1371:
represents the outcome of the individual games. A win is 1, a draw is
295:{\displaystyle RD=\min \left({\sqrt {{RD_{0}}^{2}+c^{2}t}},350\right)}
5459:
4788:
4748:
4351:
4346:
4235:
4210:
3935:
3607:
3362:
3044:
2756:
129:
5337:
3429:
3403:
3390:
3350:
3323:
5147:
4195:
3416:
3869:
3666:
125:
2402:
prevent dramatic rating changes after upset results). Then, for
4336:
104:
1342:
represents the rating deviations of the individual opponents.
3789:
38:
487:{\displaystyle c={\sqrt {(350^{2}-50^{2})/100}}\approx 34.6}
3854:
3587:
3452:
R Glicko implementation by Alec
Stephenson and Jeff Sonas.
3413:
Client side javascript and node.js Glicko-2 implementation
3374:
rating system by
Microsoft borrows many ideas from Glicko.
3038:
2331:
1401:
1542:
Across one rating period, a player with a current rating
5523:
3758:
3024:
2356:
which constrains the volatility over time, for instance
30:"Glicko" redirects here. For the village in Poland, see
1537:
1043:{\displaystyle q={\frac {\ln(10)}{400}}=0.00575646273}
155:
2868:
2769:
2706:
2679:
2634:
2614:
2410:
2388:
2362:
2342:
2203:
2112:
1985:
1806:
1784:
1764:
1712:
1660:
1608:
1588:
1568:
1548:
1519:
1415:
1377:
1350:
1318:
1289:
1057:
1003:
831:
720:
509:
430:
405:
352:
331:
310:
221:
189:
166:
3020:
1758:. We first need to compute the ancillary quantities
1310:
represents the ratings of the individual opponents.
3186:"An In-Depth Look at the Splatoon 2 Ranking System"
3003:
2850:
2757:Step 3: Determine new ratings deviation and rating
2746:
2690:
2655:
2620:
2598:
2394:
2374:
2348:
2321:
2188:
2094:
1970:
1790:
1770:
1750:
1698:
1646:
1594:
1574:
1554:
1525:
1498:
1390:
1363:
1334:
1302:
1274:
1042:
988:
816:
702:
486:
411:
391:
337:
316:
294:
205:
175:
3132:"The New Frontiers Update - Gameplay Update 7.33"
5546:
231:
60:and initially intended for the primary use as a
52:are methods of assessing a player's strength in
3478:Glicko-2 implementation for Scala and Scala.js
3210:
496:
27:Rating system for players of skill-based games
3774:
3497:
392:{\displaystyle 350={\sqrt {50^{2}+100c^{2}}}}
3292:"Australian Chess Federation Ratings By-Law"
2995:
2941:
2738:
2724:
2310:
2263:
2089:
2035:
1951:
1904:
183:) is found using the old Ratings Deviation (
3183:
3781:
3767:
3504:
3490:
2671:Regula falsi § The Illinois algorithm
150:
3616:
3511:
3677:Harris Interactive College Football Poll
3253:
2336:We then need to choose a small constant
3254:Glickman, Mark E. (November 30, 2013).
3233:
2332:Step 2: Determine new rating volatility
1699:{\displaystyle \phi _{1},...,\phi _{m}}
1402:Step 3: Determine new ratings deviation
14:
5547:
3272:from the original on February 11, 2020
3762:
3672:FWAA-NFF Grantland Rice Super 16 Poll
3485:
3165:from the original on 11 November 2020
3085:from the original on November 3, 2022
2747:{\displaystyle \sigma '=\exp\{A/2\}.}
1647:{\displaystyle \mu _{1},...,\mu _{m}}
1508:
3249:
3247:
3245:
3070:
1538:Step 1: Compute ancillary quantities
3400:JavaScript Glicko-2 implementation.
3387:Glicko-2 implementation for the JVM
3351:Professor Glickman's Glicko-Website
156:Step 1: Determine ratings deviation
24:
3593:Pomeroy College Basketball Ratings
3304:from the original on 11 March 2020
3211:Atorrante-cyber (April 20, 2023).
3192:from the original on 24 March 2024
3156:
3138:from the original on 20 April 2023
2453:
1986:
1785:
25:
5571:
3344:
3242:
3112:from the original on 29 June 2021
3106:"Team Fortress 2 Update Released"
3103:
5522:
5193:List of strong chess tournaments
3578:English Chess Federation grading
3256:"Example of the Glicko-2 system"
3234:Johnson, Ben (26 October 2023).
3037:
3023:
93:Counter-Strike: Global Offensive
4171:Gökyay Association Chess Museum
3439:Python Glicko-2 implementation.
3426:Python Glicko-2 implementation.
3330:from the original on 2020-12-12
3316:
1751:{\displaystyle s_{1},...,s_{m}}
3465:Scala Glicko-2 implementation.
3284:
3227:
3204:
3184:Oatmealdome (12 August 2018).
3177:
3150:
3124:
3097:
3064:
2992:
2960:
2938:
2925:
2644:
2638:
2577:
2562:
2532:
2499:
2494:
2449:
2420:
2414:
2307:
2288:
2285:
2272:
2239:
2207:
2129:
2116:
2086:
2054:
2032:
2019:
1948:
1916:
1901:
1869:
1857:
1843:
1391:{\displaystyle {\frac {1}{2}}}
1265:
1262:
1219:
1212:
1200:
1197:
1154:
1147:
1135:
1131:
1115:
1109:
1025:
1019:
963:
937:
934:
918:
885:
842:
835:
795:
774:
740:
724:
696:
693:
650:
643:
624:
621:
605:
465:
439:
13:
1:
5291:Computer chess championships
3692:USA Today/Amway Coaches' Poll
3603:Rating Percentage Index (RPI)
3058:
1971:{\displaystyle v=\left^{-1}}
497:Step 2: Determine new rating
7:
5073:Bishop and knight checkmate
3558:Advanced Football Analytics
3551:Methods and computer models
3324:"Welcome to Glicko ratings"
3159:"Finding the perfect match"
3016:
160:The new Ratings Deviation (
145:Australian Chess Federation
74:
10:
5576:
5236:Other world championships
2608:we need to find the value
36:
29:
5517:
5427:
5330:
5183:
5083:Opposite-coloured bishops
5063:
5009:
4872:
4714:
4654:
4645:
4556:
4424:
4285:
4186:
4022:
3926:
3796:
3788:
3700:
3659:
3550:
3519:
3238:. Continental Sales, Inc.
2375:{\displaystyle \tau =0.2}
5210:World Chess Championship
4176:World Chess Hall of Fame
3568:Bowl Championship Series
2691:{\displaystyle \sigma '}
1602:opponents, with ratings
37:Not to be confused with
5504:Simultaneous exhibition
5414:Chess newspaper columns
5103:Rook and bishop vs rook
5093:Queen and pawn vs queen
3598:Pythagorean expectation
2761:We then get the new RD
1791:{\displaystyle \Delta }
1526:{\displaystyle \sigma }
151:The algorithm of Glicko
32:Glicko, Goleniów County
4959:Richter–Veresov Attack
4947:Queen's Indian Defence
3005:
2921:
2852:
2748:
2692:
2657:
2656:{\displaystyle f(A)=0}
2622:
2600:
2396:
2376:
2350:
2323:
2190:
2096:
2015:
1972:
1839:
1792:
1772:
1752:
1706:, resulting in scores
1700:
1648:
1596:
1576:
1562:and ratings deviation
1556:
1527:
1500:
1392:
1365:
1336:
1335:{\displaystyle RD_{i}}
1304:
1276:
1107:
1044:
990:
818:
704:
600:
488:
413:
393:
339:
318:
296:
207:
206:{\displaystyle RD_{0}}
177:
50:Glicko-2 rating system
5220:Candidates Tournament
5108:Rook and pawn vs rook
5078:King and pawn vs king
5029:List of chess gambits
4932:King's Indian Defence
4610:Isolated Queen's Pawn
4134:List of chess players
4076:Top player comparison
3875:Internet chess server
3513:Sports rating systems
3006:
2901:
2853:
2749:
2693:
2658:
2623:
2601:
2397:
2395:{\displaystyle \tau }
2377:
2351:
2349:{\displaystyle \tau }
2324:
2191:
2097:
1995:
1973:
1819:
1793:
1773:
1753:
1701:
1649:
1597:
1577:
1575:{\displaystyle \phi }
1557:
1528:
1501:
1393:
1366:
1364:{\displaystyle s_{i}}
1337:
1305:
1303:{\displaystyle r_{i}}
1277:
1087:
1045:
991:
819:
705:
580:
489:
414:
394:
340:
319:
297:
208:
178:
5560:Chess rating systems
4937:Nimzo-Indian Defence
4833:Scandinavian Defense
4794:Semi-Italian Opening
4699:King's Indian Attack
4588:first-move advantage
4241:Threefold repetition
4166:Bobby Fischer Center
4051:Charlemagne chessmen
4045:Göttingen manuscript
4009:
3850:Correspondence chess
3537:Strength of schedule
3378:forwardloop/glicko2s
2866:
2767:
2704:
2677:
2632:
2612:
2408:
2386:
2360:
2340:
2201:
2110:
1983:
1804:
1782:
1762:
1710:
1658:
1606:
1586:
1566:
1555:{\displaystyle \mu }
1546:
1517:
1413:
1375:
1348:
1316:
1287:
1055:
1001:
829:
718:
507:
428:
403:
350:
329:
308:
219:
187:
164:
46:Glicko rating system
5165:Two knights endgame
4917:Bogo-Indian Defence
4804:Two Knights Defense
4744:Nimzowitsch Defence
4434:Artificial castling
4071:Soviet chess school
3946:Dubrovnik chess set
3073:"The Glicko System"
3053:Chess rating system
2382:(smaller values of
2164:
1398:, and a loss is 0.
794:
62:chess rating system
5555:Chess in Australia
5395:endgame literature
4942:Old Indian Defense
4852:Accelerated Dragon
4724:Alekhine's Defence
4456:Checkmate patterns
4325:symbols in Unicode
4320:annotation symbols
4083:Geography of chess
3951:Staunton chess set
3687:NAIA Coaches' Poll
3583:Litkenhous Ratings
3563:ARGH Power Ratings
3474:2022-02-16 at the
3461:2019-10-16 at the
3448:2020-05-14 at the
3435:2021-01-06 at the
3422:2020-09-12 at the
3409:2020-12-12 at the
3396:2019-10-16 at the
3383:2020-11-12 at the
3370:2019-10-16 at the
3356:2020-12-12 at the
3213:"Ranks and rating"
3001:
2848:
2744:
2688:
2653:
2618:
2596:
2392:
2372:
2346:
2319:
2186:
2150:
2092:
1968:
1788:
1768:
1748:
1696:
1644:
1592:
1572:
1552:
1523:
1509:Glicko-2 algorithm
1496:
1388:
1361:
1332:
1300:
1272:
1040:
986:
814:
780:
700:
484:
409:
389:
335:
314:
292:
203:
176:{\displaystyle RD}
173:
5542:
5541:
5419:Chess periodicals
5348:Chess in the arts
5280:Chess composition
5118:Philidor position
5059:
5058:
5001:Trompowsky Attack
4984:Semi-Slav Defence
4874:Queen's Pawn Game
4754:Four Knights Game
4729:Caro–Kann Defence
4694:Zukertort Opening
4481:Discovered attack
4201:Cheating in chess
4038:Versus de scachis
3756:
3755:
3660:Polls and opinion
3655:
3654:
2843:
2841:
2828:
2621:{\displaystyle A}
2591:
2542:
2434:
2314:
2181:
2180:
1771:{\displaystyle v}
1595:{\displaystyle m}
1494:
1478:
1458:
1386:
1270:
1032:
984:
975:
812:
811:
809:
578:
575:
555:
476:
412:{\displaystyle c}
387:
338:{\displaystyle c}
317:{\displaystyle t}
279:
141:rating volatility
81:Elo rating system
58:Elo rating system
16:(Redirected from
5567:
5529:Chess portal
5527:
5526:
5470:Leela Chess Zero
5401:Oxford Companion
5353:early literature
5343:Chess aesthetics
5088:Pawnless endgame
5039:Bongcloud Attack
5017:List of openings
4989:Chigorin Defense
4927:Grünfeld Defence
4838:Sicilian Defence
4784:Ponziani Opening
4779:Philidor Defence
4774:Petrov's Defence
4716:King's Pawn Game
4689:Larsen's Opening
4652:
4651:
4013:
3783:
3776:
3769:
3760:
3759:
3614:
3613:
3573:Dickinson System
3506:
3499:
3492:
3483:
3482:
3339:
3338:
3336:
3335:
3320:
3314:
3313:
3311:
3309:
3303:
3296:
3288:
3282:
3281:
3279:
3277:
3271:
3260:
3251:
3240:
3239:
3231:
3225:
3224:
3222:
3220:
3208:
3202:
3201:
3199:
3197:
3181:
3175:
3174:
3172:
3170:
3157:Justin, O'Dell.
3154:
3148:
3147:
3145:
3143:
3128:
3122:
3121:
3119:
3117:
3101:
3095:
3094:
3092:
3090:
3084:
3077:
3071:Glickman, Mark.
3068:
3047:
3042:
3041:
3033:
3028:
3027:
3010:
3008:
3007:
3002:
2991:
2990:
2978:
2977:
2953:
2952:
2937:
2936:
2920:
2915:
2900:
2899:
2898:
2876:
2857:
2855:
2854:
2849:
2844:
2842:
2834:
2829:
2827:
2826:
2825:
2824:
2808:
2807:
2794:
2792:
2790:
2789:
2777:
2753:
2751:
2750:
2745:
2734:
2714:
2697:
2695:
2694:
2689:
2687:
2662:
2660:
2659:
2654:
2628:which satisfies
2627:
2625:
2624:
2619:
2605:
2603:
2602:
2597:
2592:
2590:
2589:
2580:
2576:
2575:
2574:
2548:
2543:
2541:
2540:
2539:
2530:
2529:
2511:
2510:
2497:
2493:
2492:
2474:
2473:
2461:
2460:
2448:
2447:
2437:
2435:
2427:
2401:
2399:
2398:
2393:
2381:
2379:
2378:
2373:
2355:
2353:
2352:
2347:
2328:
2326:
2325:
2320:
2315:
2313:
2306:
2305:
2284:
2283:
2246:
2238:
2237:
2225:
2224:
2195:
2193:
2192:
2187:
2182:
2179:
2178:
2169:
2163:
2158:
2140:
2136:
2128:
2127:
2101:
2099:
2098:
2093:
2085:
2084:
2072:
2071:
2047:
2046:
2031:
2030:
2014:
2009:
1977:
1975:
1974:
1969:
1967:
1966:
1958:
1954:
1947:
1946:
1934:
1933:
1900:
1899:
1887:
1886:
1865:
1864:
1855:
1854:
1838:
1833:
1797:
1795:
1794:
1789:
1777:
1775:
1774:
1769:
1757:
1755:
1754:
1749:
1747:
1746:
1722:
1721:
1705:
1703:
1702:
1697:
1695:
1694:
1670:
1669:
1653:
1651:
1650:
1645:
1643:
1642:
1618:
1617:
1601:
1599:
1598:
1593:
1581:
1579:
1578:
1573:
1561:
1559:
1558:
1553:
1532:
1530:
1529:
1524:
1505:
1503:
1502:
1497:
1495:
1493:
1492:
1484:
1480:
1479:
1477:
1476:
1464:
1459:
1457:
1456:
1455:
1439:
1431:
1426:
1397:
1395:
1394:
1389:
1387:
1379:
1370:
1368:
1367:
1362:
1360:
1359:
1341:
1339:
1338:
1333:
1331:
1330:
1309:
1307:
1306:
1301:
1299:
1298:
1281:
1279:
1278:
1273:
1271:
1269:
1268:
1261:
1260:
1245:
1244:
1232:
1231:
1222:
1196:
1195:
1180:
1179:
1167:
1166:
1157:
1143:
1142:
1130:
1129:
1106:
1101:
1086:
1085:
1072:
1067:
1066:
1049:
1047:
1046:
1041:
1033:
1028:
1011:
995:
993:
992:
987:
985:
983:
982:
981:
980:
976:
974:
966:
962:
961:
949:
948:
933:
932:
913:
892:
884:
883:
868:
867:
855:
854:
845:
823:
821:
820:
815:
813:
810:
808:
807:
798:
793:
788:
773:
772:
759:
751:
747:
739:
738:
709:
707:
706:
701:
699:
692:
691:
676:
675:
663:
662:
653:
636:
635:
620:
619:
599:
594:
579:
577:
576:
574:
573:
561:
556:
554:
553:
552:
536:
530:
525:
524:
493:
491:
490:
485:
477:
472:
464:
463:
451:
450:
438:
418:
416:
415:
410:
398:
396:
395:
390:
388:
386:
385:
370:
369:
360:
344:
342:
341:
336:
323:
321:
320:
315:
301:
299:
298:
293:
291:
287:
280:
275:
274:
262:
261:
256:
255:
254:
240:
212:
210:
209:
204:
202:
201:
182:
180:
179:
174:
21:
5575:
5574:
5570:
5569:
5568:
5566:
5565:
5564:
5545:
5544:
5543:
5538:
5521:
5513:
5423:
5409:Chess libraries
5326:
5230:FIDE Grand Prix
5225:Chess World Cup
5179:
5175:Wrong rook pawn
5113:Lucena position
5055:
5005:
4922:Catalan Opening
4897:English Defence
4882:Budapest Gambit
4868:
4826:Austrian Attack
4710:
4679:English Opening
4641:
4637:School of chess
4620:Minority attack
4552:
4521:Queen sacrifice
4420:
4281:
4277:White and Black
4272:Touch-move rule
4231:Perpetual check
4226:Fifty-move rule
4182:
4018:
4015:
3922:
3792:
3787:
3757:
3752:
3696:
3651:
3612:
3546:
3542:Win probability
3515:
3510:
3476:Wayback Machine
3463:Wayback Machine
3450:Wayback Machine
3437:Wayback Machine
3424:Wayback Machine
3411:Wayback Machine
3398:Wayback Machine
3385:Wayback Machine
3372:Wayback Machine
3358:Wayback Machine
3347:
3342:
3333:
3331:
3322:
3321:
3317:
3307:
3305:
3301:
3294:
3290:
3289:
3285:
3275:
3273:
3269:
3258:
3252:
3243:
3232:
3228:
3218:
3216:
3209:
3205:
3195:
3193:
3182:
3178:
3168:
3166:
3155:
3151:
3141:
3139:
3130:
3129:
3125:
3115:
3113:
3102:
3098:
3088:
3086:
3082:
3075:
3069:
3065:
3061:
3043:
3036:
3029:
3022:
3019:
2986:
2982:
2973:
2969:
2948:
2944:
2932:
2928:
2916:
2905:
2894:
2890:
2886:
2869:
2867:
2864:
2863:
2860:and new rating
2833:
2820:
2816:
2812:
2803:
2799:
2798:
2793:
2791:
2785:
2784:
2770:
2768:
2765:
2764:
2759:
2730:
2707:
2705:
2702:
2701:
2680:
2678:
2675:
2674:
2669:procedure (see
2633:
2630:
2629:
2613:
2610:
2609:
2585:
2581:
2570:
2566:
2565:
2549:
2547:
2535:
2531:
2525:
2521:
2506:
2502:
2498:
2488:
2484:
2469:
2465:
2456:
2452:
2443:
2439:
2438:
2436:
2426:
2409:
2406:
2405:
2387:
2384:
2383:
2361:
2358:
2357:
2341:
2338:
2337:
2334:
2301:
2297:
2279:
2275:
2250:
2245:
2233:
2229:
2220:
2216:
2202:
2199:
2198:
2174:
2170:
2165:
2159:
2154:
2135:
2123:
2119:
2111:
2108:
2107:
2080:
2076:
2067:
2063:
2042:
2038:
2026:
2022:
2010:
1999:
1984:
1981:
1980:
1959:
1942:
1938:
1929:
1925:
1895:
1891:
1882:
1878:
1860:
1856:
1850:
1846:
1834:
1823:
1818:
1814:
1813:
1805:
1802:
1801:
1783:
1780:
1779:
1763:
1760:
1759:
1742:
1738:
1717:
1713:
1711:
1708:
1707:
1690:
1686:
1665:
1661:
1659:
1656:
1655:
1638:
1634:
1613:
1609:
1607:
1604:
1603:
1587:
1584:
1583:
1567:
1564:
1563:
1547:
1544:
1543:
1540:
1518:
1515:
1514:
1511:
1485:
1472:
1468:
1463:
1451:
1447:
1443:
1438:
1437:
1433:
1432:
1430:
1419:
1414:
1411:
1410:
1404:
1378:
1376:
1373:
1372:
1355:
1351:
1349:
1346:
1345:
1326:
1322:
1317:
1314:
1313:
1294:
1290:
1288:
1285:
1284:
1256:
1252:
1240:
1236:
1227:
1223:
1218:
1191:
1187:
1175:
1171:
1162:
1158:
1153:
1138:
1134:
1125:
1121:
1108:
1102:
1091:
1081:
1077:
1076:
1071:
1062:
1058:
1056:
1053:
1052:
1012:
1010:
1002:
999:
998:
967:
957:
953:
944:
940:
928:
924:
914:
912:
908:
907:
903:
896:
891:
879:
875:
863:
859:
850:
846:
841:
830:
827:
826:
803:
799:
789:
784:
768:
764:
760:
758:
746:
734:
730:
719:
716:
715:
687:
683:
671:
667:
658:
654:
649:
631:
627:
615:
611:
601:
595:
584:
569:
565:
560:
548:
544:
540:
535:
534:
529:
520:
516:
508:
505:
504:
499:
468:
459:
455:
446:
442:
437:
429:
426:
425:
404:
401:
400:
381:
377:
365:
361:
359:
351:
348:
347:
330:
327:
326:
309:
306:
305:
270:
266:
257:
250:
246:
242:
241:
239:
238:
234:
220:
217:
216:
197:
193:
188:
185:
184:
165:
162:
161:
158:
153:
99:Team Fortress 2
77:
42:
35:
28:
23:
22:
15:
12:
11:
5:
5573:
5563:
5562:
5557:
5540:
5539:
5537:
5536:
5531:
5518:
5515:
5514:
5512:
5511:
5506:
5501:
5496:
5495:
5494:
5489:
5479:
5478:
5477:
5472:
5467:
5462:
5452:
5450:Chess composer
5447:
5442:
5437:
5431:
5429:
5425:
5424:
5422:
5421:
5416:
5411:
5406:
5405:
5404:
5397:
5392:
5382:
5381:
5380:
5375:
5370:
5365:
5360:
5355:
5345:
5340:
5334:
5332:
5328:
5327:
5325:
5324:
5323:
5322:
5317:
5312:
5307:
5305:North American
5302:
5297:
5289:
5288:
5287:
5282:
5277:
5272:
5267:
5262:
5257:
5252:
5247:
5242:
5234:
5233:
5232:
5227:
5222:
5217:
5207:
5206:
5205:
5198:Chess Olympiad
5195:
5189:
5187:
5181:
5180:
5178:
5177:
5172:
5167:
5162:
5157:
5152:
5151:
5150:
5145:
5140:
5135:
5130:
5122:
5121:
5120:
5115:
5105:
5100:
5095:
5090:
5085:
5080:
5075:
5069:
5067:
5061:
5060:
5057:
5056:
5054:
5053:
5052:
5051:
5049:Scholar's mate
5046:
5041:
5031:
5026:
5025:
5024:
5013:
5011:
5007:
5006:
5004:
5003:
4998:
4993:
4992:
4991:
4986:
4981:
4976:
4971:
4964:Queen's Gambit
4961:
4956:
4951:
4950:
4949:
4944:
4939:
4934:
4929:
4924:
4919:
4914:
4909:
4907:Benoni Defence
4902:Indian Defence
4899:
4894:
4889:
4884:
4878:
4876:
4870:
4869:
4867:
4866:
4865:
4864:
4859:
4854:
4845:
4835:
4830:
4829:
4828:
4818:
4816:Owen's Defence
4813:
4812:
4811:
4806:
4801:
4796:
4791:
4786:
4781:
4776:
4771:
4766:
4761:
4756:
4746:
4741:
4739:Modern Defence
4736:
4734:French Defence
4731:
4726:
4720:
4718:
4712:
4711:
4709:
4708:
4707:
4706:
4701:
4691:
4686:
4681:
4676:
4671:
4669:Bird's Opening
4666:
4660:
4658:
4649:
4643:
4642:
4640:
4639:
4634:
4629:
4624:
4623:
4622:
4617:
4612:
4607:
4600:Pawn structure
4597:
4592:
4591:
4590:
4580:
4579:
4578:
4568:
4562:
4560:
4554:
4553:
4551:
4550:
4545:
4540:
4535:
4530:
4525:
4524:
4523:
4513:
4508:
4503:
4498:
4493:
4488:
4483:
4478:
4473:
4468:
4463:
4458:
4453:
4448:
4447:
4446:
4444:Alekhine's gun
4436:
4430:
4428:
4422:
4421:
4419:
4418:
4413:
4408:
4403:
4398:
4397:
4396:
4391:
4386:
4381:
4376:
4366:
4361:
4360:
4359:
4357:Half-open file
4349:
4344:
4339:
4334:
4329:
4328:
4327:
4322:
4317:
4312:
4307:
4300:Chess notation
4297:
4291:
4289:
4283:
4282:
4280:
4279:
4274:
4269:
4268:
4267:
4257:
4255:Pawn promotion
4252:
4245:
4244:
4243:
4238:
4233:
4228:
4223:
4213:
4208:
4203:
4198:
4192:
4190:
4184:
4183:
4181:
4180:
4179:
4178:
4173:
4168:
4158:
4156:Women in chess
4153:
4152:
4151:
4146:
4141:
4131:
4126:
4125:
4124:
4119:
4118:
4117:
4112:
4102:
4097:
4096:
4095:
4080:
4079:
4078:
4073:
4068:
4066:Hypermodernism
4063:
4061:Romantic chess
4058:
4056:Lewis chessmen
4053:
4048:
4041:
4028:
4026:
4020:
4019:
4017:
4016:
4007:
4002:
3997:
3996:
3995:
3990:
3985:
3980:
3975:
3970:
3965:
3955:
3954:
3953:
3948:
3943:
3932:
3930:
3924:
3923:
3921:
3920:
3915:
3914:
3913:
3903:
3902:
3901:
3896:
3894:world rankings
3886:
3885:
3884:
3883:
3882:
3872:
3862:
3857:
3852:
3847:
3846:
3845:
3840:
3835:
3830:
3823:Computer chess
3820:
3819:
3818:
3808:
3802:
3800:
3794:
3793:
3786:
3785:
3778:
3771:
3763:
3754:
3753:
3751:
3750:
3745:
3740:
3735:
3730:
3725:
3723:Kenneth Massey
3720:
3715:
3713:John Hollinger
3710:
3704:
3702:
3698:
3697:
3695:
3694:
3689:
3684:
3679:
3674:
3669:
3663:
3661:
3657:
3656:
3653:
3652:
3650:
3649:
3644:
3639:
3634:
3629:
3623:
3621:
3611:
3610:
3605:
3600:
3595:
3590:
3585:
3580:
3575:
3570:
3565:
3560:
3554:
3552:
3548:
3547:
3545:
3544:
3539:
3534:
3529:
3527:Home advantage
3523:
3521:
3517:
3516:
3509:
3508:
3501:
3494:
3486:
3480:
3479:
3466:
3453:
3440:
3430:sublee/glicko2
3427:
3414:
3404:mmai/glicko2js
3401:
3391:RobKohr/glicko
3388:
3375:
3360:
3346:
3345:External links
3343:
3341:
3340:
3315:
3283:
3241:
3226:
3203:
3176:
3149:
3123:
3096:
3062:
3060:
3057:
3056:
3055:
3049:
3048:
3034:
3018:
3015:
3000:
2997:
2994:
2989:
2985:
2981:
2976:
2972:
2968:
2965:
2962:
2959:
2956:
2951:
2947:
2943:
2940:
2935:
2931:
2927:
2924:
2919:
2914:
2911:
2908:
2904:
2897:
2893:
2889:
2885:
2882:
2879:
2875:
2872:
2847:
2840:
2837:
2832:
2823:
2819:
2815:
2811:
2806:
2802:
2797:
2788:
2783:
2780:
2776:
2773:
2758:
2755:
2743:
2740:
2737:
2733:
2729:
2726:
2723:
2720:
2717:
2713:
2710:
2686:
2683:
2652:
2649:
2646:
2643:
2640:
2637:
2617:
2595:
2588:
2584:
2579:
2573:
2569:
2564:
2561:
2558:
2555:
2552:
2546:
2538:
2534:
2528:
2524:
2520:
2517:
2514:
2509:
2505:
2501:
2496:
2491:
2487:
2483:
2480:
2477:
2472:
2468:
2464:
2459:
2455:
2451:
2446:
2442:
2433:
2430:
2425:
2422:
2419:
2416:
2413:
2391:
2371:
2368:
2365:
2345:
2333:
2330:
2318:
2312:
2309:
2304:
2300:
2296:
2293:
2290:
2287:
2282:
2278:
2274:
2271:
2268:
2265:
2262:
2259:
2256:
2253:
2249:
2244:
2241:
2236:
2232:
2228:
2223:
2219:
2215:
2212:
2209:
2206:
2185:
2177:
2173:
2168:
2162:
2157:
2153:
2149:
2146:
2143:
2139:
2134:
2131:
2126:
2122:
2118:
2115:
2091:
2088:
2083:
2079:
2075:
2070:
2066:
2062:
2059:
2056:
2053:
2050:
2045:
2041:
2037:
2034:
2029:
2025:
2021:
2018:
2013:
2008:
2005:
2002:
1998:
1994:
1991:
1988:
1965:
1962:
1957:
1953:
1950:
1945:
1941:
1937:
1932:
1928:
1924:
1921:
1918:
1915:
1912:
1909:
1906:
1903:
1898:
1894:
1890:
1885:
1881:
1877:
1874:
1871:
1868:
1863:
1859:
1853:
1849:
1845:
1842:
1837:
1832:
1829:
1826:
1822:
1817:
1812:
1809:
1787:
1767:
1745:
1741:
1737:
1734:
1731:
1728:
1725:
1720:
1716:
1693:
1689:
1685:
1682:
1679:
1676:
1673:
1668:
1664:
1641:
1637:
1633:
1630:
1627:
1624:
1621:
1616:
1612:
1591:
1582:plays against
1571:
1551:
1539:
1536:
1522:
1510:
1507:
1491:
1488:
1483:
1475:
1471:
1467:
1462:
1454:
1450:
1446:
1442:
1436:
1429:
1425:
1422:
1418:
1403:
1400:
1385:
1382:
1358:
1354:
1329:
1325:
1321:
1297:
1293:
1267:
1264:
1259:
1255:
1251:
1248:
1243:
1239:
1235:
1230:
1226:
1221:
1217:
1214:
1211:
1208:
1205:
1202:
1199:
1194:
1190:
1186:
1183:
1178:
1174:
1170:
1165:
1161:
1156:
1152:
1149:
1146:
1141:
1137:
1133:
1128:
1124:
1120:
1117:
1114:
1111:
1105:
1100:
1097:
1094:
1090:
1084:
1080:
1075:
1070:
1065:
1061:
1039:
1036:
1031:
1027:
1024:
1021:
1018:
1015:
1009:
1006:
979:
973:
970:
965:
960:
956:
952:
947:
943:
939:
936:
931:
927:
923:
920:
917:
911:
906:
902:
899:
895:
890:
887:
882:
878:
874:
871:
866:
862:
858:
853:
849:
844:
840:
837:
834:
806:
802:
797:
792:
787:
783:
779:
776:
771:
767:
763:
757:
754:
750:
745:
742:
737:
733:
729:
726:
723:
698:
695:
690:
686:
682:
679:
674:
670:
666:
661:
657:
652:
648:
645:
642:
639:
634:
630:
626:
623:
618:
614:
610:
607:
604:
598:
593:
590:
587:
583:
572:
568:
564:
559:
551:
547:
543:
539:
533:
528:
523:
519:
515:
512:
498:
495:
483:
480:
475:
471:
467:
462:
458:
454:
449:
445:
441:
436:
433:
408:
384:
380:
376:
373:
368:
364:
358:
355:
334:
313:
290:
286:
283:
278:
273:
269:
265:
260:
253:
249:
245:
237:
233:
230:
227:
224:
200:
196:
192:
172:
169:
157:
154:
152:
149:
76:
73:
26:
9:
6:
4:
3:
2:
5572:
5561:
5558:
5556:
5553:
5552:
5550:
5535:
5532:
5530:
5525:
5520:
5519:
5516:
5510:
5509:Solving chess
5507:
5505:
5502:
5500:
5499:Chess prodigy
5497:
5493:
5490:
5488:
5485:
5484:
5483:
5482:Chess problem
5480:
5476:
5473:
5471:
5468:
5466:
5463:
5461:
5458:
5457:
5456:
5453:
5451:
5448:
5446:
5443:
5441:
5438:
5436:
5433:
5432:
5430:
5426:
5420:
5417:
5415:
5412:
5410:
5407:
5403:
5402:
5398:
5396:
5393:
5391:
5390:opening books
5388:
5387:
5386:
5383:
5379:
5378:short stories
5376:
5374:
5371:
5369:
5366:
5364:
5361:
5359:
5356:
5354:
5351:
5350:
5349:
5346:
5344:
5341:
5339:
5336:
5335:
5333:
5331:Art and media
5329:
5321:
5318:
5316:
5313:
5311:
5308:
5306:
5303:
5301:
5298:
5296:
5293:
5292:
5290:
5286:
5283:
5281:
5278:
5276:
5273:
5271:
5268:
5266:
5263:
5261:
5258:
5256:
5253:
5251:
5248:
5246:
5243:
5241:
5238:
5237:
5235:
5231:
5228:
5226:
5223:
5221:
5218:
5216:
5213:
5212:
5211:
5208:
5204:
5201:
5200:
5199:
5196:
5194:
5191:
5190:
5188:
5186:
5182:
5176:
5173:
5171:
5168:
5166:
5163:
5161:
5158:
5156:
5153:
5149:
5146:
5144:
5143:triangulation
5141:
5139:
5138:Tarrasch rule
5136:
5134:
5131:
5129:
5126:
5125:
5123:
5119:
5116:
5114:
5111:
5110:
5109:
5106:
5104:
5101:
5099:
5098:Queen vs pawn
5096:
5094:
5091:
5089:
5086:
5084:
5081:
5079:
5076:
5074:
5071:
5070:
5068:
5066:
5062:
5050:
5047:
5045:
5042:
5040:
5037:
5036:
5035:
5032:
5030:
5027:
5023:
5020:
5019:
5018:
5015:
5014:
5012:
5008:
5002:
4999:
4997:
4994:
4990:
4987:
4985:
4982:
4980:
4977:
4975:
4972:
4970:
4967:
4966:
4965:
4962:
4960:
4957:
4955:
4954:London System
4952:
4948:
4945:
4943:
4940:
4938:
4935:
4933:
4930:
4928:
4925:
4923:
4920:
4918:
4915:
4913:
4912:Modern Benoni
4910:
4908:
4905:
4904:
4903:
4900:
4898:
4895:
4893:
4892:Dutch Defence
4890:
4888:
4885:
4883:
4880:
4879:
4877:
4875:
4871:
4863:
4860:
4858:
4855:
4853:
4849:
4846:
4844:
4841:
4840:
4839:
4836:
4834:
4831:
4827:
4824:
4823:
4822:
4819:
4817:
4814:
4810:
4807:
4805:
4802:
4800:
4797:
4795:
4792:
4790:
4787:
4785:
4782:
4780:
4777:
4775:
4772:
4770:
4769:King's Gambit
4767:
4765:
4762:
4760:
4757:
4755:
4752:
4751:
4750:
4747:
4745:
4742:
4740:
4737:
4735:
4732:
4730:
4727:
4725:
4722:
4721:
4719:
4717:
4713:
4705:
4702:
4700:
4697:
4696:
4695:
4692:
4690:
4687:
4685:
4684:Grob's Attack
4682:
4680:
4677:
4675:
4674:Dunst Opening
4672:
4670:
4667:
4665:
4664:Benko Opening
4662:
4661:
4659:
4657:
4656:Flank opening
4653:
4650:
4648:
4644:
4638:
4635:
4633:
4630:
4628:
4625:
4621:
4618:
4616:
4613:
4611:
4608:
4606:
4603:
4602:
4601:
4598:
4596:
4593:
4589:
4586:
4585:
4584:
4581:
4577:
4574:
4573:
4572:
4569:
4567:
4564:
4563:
4561:
4559:
4555:
4549:
4546:
4544:
4541:
4539:
4536:
4534:
4531:
4529:
4526:
4522:
4519:
4518:
4517:
4514:
4512:
4509:
4507:
4504:
4502:
4499:
4497:
4494:
4492:
4489:
4487:
4484:
4482:
4479:
4477:
4474:
4472:
4469:
4467:
4464:
4462:
4459:
4457:
4454:
4452:
4449:
4445:
4442:
4441:
4440:
4437:
4435:
4432:
4431:
4429:
4427:
4423:
4417:
4414:
4412:
4411:Transposition
4409:
4407:
4404:
4402:
4399:
4395:
4392:
4390:
4387:
4385:
4382:
4380:
4377:
4375:
4372:
4371:
4370:
4367:
4365:
4362:
4358:
4355:
4354:
4353:
4350:
4348:
4345:
4343:
4340:
4338:
4335:
4333:
4330:
4326:
4323:
4321:
4318:
4316:
4313:
4311:
4308:
4306:
4303:
4302:
4301:
4298:
4296:
4293:
4292:
4290:
4288:
4284:
4278:
4275:
4273:
4270:
4266:
4263:
4262:
4261:
4258:
4256:
4253:
4251:
4250:
4246:
4242:
4239:
4237:
4234:
4232:
4229:
4227:
4224:
4222:
4219:
4218:
4217:
4214:
4212:
4209:
4207:
4204:
4202:
4199:
4197:
4194:
4193:
4191:
4189:
4185:
4177:
4174:
4172:
4169:
4167:
4164:
4163:
4162:
4161:Chess museums
4159:
4157:
4154:
4150:
4147:
4145:
4142:
4140:
4137:
4136:
4135:
4132:
4130:
4129:Notable games
4127:
4123:
4120:
4116:
4113:
4111:
4108:
4107:
4106:
4103:
4101:
4098:
4094:
4091:
4090:
4089:
4086:
4085:
4084:
4081:
4077:
4074:
4072:
4069:
4067:
4064:
4062:
4059:
4057:
4054:
4052:
4049:
4047:
4046:
4042:
4040:
4039:
4035:
4034:
4033:
4030:
4029:
4027:
4025:
4021:
4014:
4008:
4006:
4003:
4001:
3998:
3994:
3991:
3989:
3986:
3984:
3981:
3979:
3976:
3974:
3971:
3969:
3966:
3964:
3961:
3960:
3959:
3956:
3952:
3949:
3947:
3944:
3942:
3939:
3938:
3937:
3934:
3933:
3931:
3929:
3925:
3919:
3918:World records
3916:
3912:
3909:
3908:
3907:
3904:
3900:
3897:
3895:
3892:
3891:
3890:
3889:Rating system
3887:
3881:
3878:
3877:
3876:
3873:
3871:
3868:
3867:
3866:
3863:
3861:
3858:
3856:
3853:
3851:
3848:
3844:
3841:
3839:
3836:
3834:
3831:
3829:
3826:
3825:
3824:
3821:
3817:
3814:
3813:
3812:
3809:
3807:
3804:
3803:
3801:
3799:
3795:
3791:
3784:
3779:
3777:
3772:
3770:
3765:
3764:
3761:
3749:
3746:
3744:
3741:
3739:
3736:
3734:
3731:
3729:
3726:
3724:
3721:
3719:
3716:
3714:
3711:
3709:
3708:Mark Glickman
3706:
3705:
3703:
3699:
3693:
3690:
3688:
3685:
3683:
3680:
3678:
3675:
3673:
3670:
3668:
3665:
3664:
3662:
3658:
3648:
3645:
3643:
3640:
3638:
3635:
3633:
3630:
3628:
3625:
3624:
3622:
3619:
3615:
3609:
3606:
3604:
3601:
3599:
3596:
3594:
3591:
3589:
3586:
3584:
3581:
3579:
3576:
3574:
3571:
3569:
3566:
3564:
3561:
3559:
3556:
3555:
3553:
3549:
3543:
3540:
3538:
3535:
3533:
3530:
3528:
3525:
3524:
3522:
3518:
3514:
3507:
3502:
3500:
3495:
3493:
3488:
3487:
3484:
3477:
3473:
3470:
3469:dimos/glicko2
3467:
3464:
3460:
3457:
3456:scala-glicko2
3454:
3451:
3447:
3444:
3443:PlayerRatings
3441:
3438:
3434:
3431:
3428:
3425:
3421:
3418:
3417:deepy/glicko2
3415:
3412:
3408:
3405:
3402:
3399:
3395:
3392:
3389:
3386:
3382:
3379:
3376:
3373:
3369:
3366:
3364:
3361:
3359:
3355:
3352:
3349:
3348:
3329:
3325:
3319:
3300:
3293:
3287:
3268:
3264:
3257:
3250:
3248:
3246:
3237:
3230:
3219:September 16,
3215:. GitHub, Inc
3214:
3207:
3191:
3187:
3180:
3164:
3160:
3153:
3137:
3133:
3127:
3111:
3107:
3100:
3081:
3074:
3067:
3063:
3054:
3051:
3050:
3046:
3040:
3035:
3032:
3026:
3021:
3014:
3011:
2998:
2987:
2983:
2979:
2974:
2970:
2966:
2963:
2957:
2954:
2949:
2945:
2933:
2929:
2922:
2917:
2912:
2909:
2906:
2902:
2895:
2891:
2887:
2883:
2880:
2877:
2873:
2870:
2861:
2858:
2845:
2838:
2835:
2830:
2821:
2817:
2813:
2809:
2804:
2800:
2795:
2781:
2778:
2774:
2771:
2762:
2754:
2741:
2735:
2731:
2727:
2721:
2718:
2715:
2711:
2708:
2699:
2684:
2681:
2672:
2668:
2667:
2650:
2647:
2641:
2635:
2615:
2606:
2593:
2586:
2582:
2571:
2567:
2559:
2556:
2553:
2550:
2544:
2536:
2526:
2522:
2518:
2515:
2512:
2507:
2503:
2489:
2485:
2481:
2478:
2475:
2470:
2466:
2462:
2457:
2444:
2440:
2431:
2428:
2423:
2417:
2411:
2403:
2389:
2369:
2366:
2363:
2343:
2329:
2316:
2302:
2298:
2294:
2291:
2280:
2276:
2269:
2266:
2260:
2257:
2254:
2251:
2247:
2242:
2234:
2230:
2226:
2221:
2217:
2213:
2210:
2204:
2196:
2183:
2175:
2171:
2166:
2160:
2155:
2151:
2147:
2144:
2141:
2137:
2132:
2124:
2120:
2113:
2105:
2102:
2081:
2077:
2073:
2068:
2064:
2060:
2057:
2051:
2048:
2043:
2039:
2027:
2023:
2016:
2011:
2006:
2003:
2000:
1996:
1992:
1989:
1978:
1963:
1960:
1955:
1943:
1939:
1935:
1930:
1926:
1922:
1919:
1913:
1910:
1907:
1896:
1892:
1888:
1883:
1879:
1875:
1872:
1866:
1861:
1851:
1847:
1840:
1835:
1830:
1827:
1824:
1820:
1815:
1810:
1807:
1799:
1765:
1743:
1739:
1735:
1732:
1729:
1726:
1723:
1718:
1714:
1691:
1687:
1683:
1680:
1677:
1674:
1671:
1666:
1662:
1639:
1635:
1631:
1628:
1625:
1622:
1619:
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72:
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51:
47:
40:
33:
19:
18:Mark Glickman
5455:Chess engine
5440:Chess boxing
5400:
5170:Wrong bishop
5022:theory table
4996:Torre Attack
4979:Slav Defence
4887:Colle System
4862:Scheveningen
4821:Pirc Defence
4764:Italian Game
4759:Giuoco Piano
4704:Réti Opening
4627:Piece values
4615:Maróczy Bind
4576:the exchange
4566:Compensation
4496:Interference
4486:Double check
4260:Time control
4247:
4221:by agreement
4149:grandmasters
4093:South Africa
4043:
4036:
4012:Score sheets
3958:Chess pieces
3865:Online chess
3811:Chess titles
3806:Chess theory
3733:Jeff Sagarin
3682:Legends Poll
3641:
3627:Chessmetrics
3532:Sabermetrics
3332:. Retrieved
3318:
3306:. Retrieved
3286:
3274:. Retrieved
3262:
3235:
3229:
3217:. Retrieved
3206:
3194:. Retrieved
3179:
3167:. Retrieved
3152:
3140:. Retrieved
3126:
3114:. Retrieved
3099:
3087:. Retrieved
3066:
3031:Chess portal
3012:
2862:
2859:
2763:
2760:
2700:
2666:regula falsi
2664:
2607:
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2335:
2197:
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1979:
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825:
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424:
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303:
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140:
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134:
115:
111:Guild Wars 2
109:
103:
97:
91:
90:online like
88:game servers
85:
78:
65:
49:
45:
43:
5385:Chess books
5185:Tournaments
5044:Fool's mate
4809:Vienna Game
4799:Scotch Game
4632:Prophylaxis
4548:Zwischenzug
4533:Undermining
4501:Overloading
4461:Combination
4310:descriptive
4005:Chess table
4000:Chess clock
3816:Grandmaster
3748:Peter Wolfe
3738:Nate Silver
3728:Ken Pomeroy
3276:January 27,
3089:October 13,
5549:Categories
5492:joke chess
5445:Chess club
5133:opposition
4595:Middlegame
4583:Initiative
4506:Pawn storm
4471:Deflection
4342:Key square
4332:Fianchetto
4265:Fast chess
4249:En passant
3941:chessboard
3743:Jeff Sonas
3718:Bill James
3334:2010-02-11
3308:17 January
3263:Glicko.net
3169:16 January
3059:References
117:Splatoon 2
5475:Stockfish
5465:Deep Blue
5460:AlphaZero
5368:paintings
5160:Tablebase
5124:Strategy
5034:Irregular
4789:Ruy Lopez
4749:Open Game
4516:Sacrifice
4476:Desperado
4379:connected
4352:Open file
4347:King walk
4305:algebraic
4236:Stalemate
4211:Checkmate
3936:Chess set
3928:Equipment
3647:Universal
3608:TrueSkill
3363:TrueSkill
3045:Go portal
2984:ϕ
2971:μ
2964:μ
2955:−
2930:ϕ
2903:∑
2888:ϕ
2881:μ
2871:μ
2814:σ
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2772:ϕ
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2709:σ
2682:σ
2583:τ
2568:σ
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2218:μ
2211:μ
2172:π
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2121:ϕ
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2058:μ
2049:−
2024:ϕ
1997:∑
1987:Δ
1961:−
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1927:μ
1920:μ
1911:−
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1873:μ
1848:ϕ
1821:∑
1786:Δ
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1663:ϕ
1636:μ
1611:μ
1570:ϕ
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1521:σ
1487:−
1207:−
1089:∑
1017:
969:−
951:−
801:π
638:−
582:∑
479:≈
453:−
130:chess.com
68:deviation
5534:Category
5487:glossary
5148:Zugzwang
5128:fortress
5065:Endgames
4974:Declined
4969:Accepted
4647:Openings
4605:Hedgehog
4571:Exchange
4558:Strategy
4538:Windmill
4389:isolated
4374:backward
4196:Castling
4139:amateurs
4032:Timeline
3906:Variants
3860:Glossary
3843:software
3828:glossary
3520:Concepts
3472:Archived
3459:Archived
3446:Archived
3433:Archived
3420:Archived
3407:Archived
3394:Archived
3381:Archived
3368:Archived
3354:Archived
3328:Archived
3299:Archived
3267:Archived
3196:24 March
3190:Archived
3163:Archived
3142:20 April
3136:Archived
3110:Archived
3080:Archived
3017:See also
2892:′
2874:′
2818:′
2775:′
2712:′
2685:′
1654:and RDs
1424:′
75:Overview
66:ratings
54:zero-sum
5435:Arbiter
5428:Related
5285:Solving
5275:Amateur
4857:Najdorf
4439:Battery
4426:Tactics
4401:Swindle
4384:doubled
4364:Outpost
4295:Blunder
4110:Armenia
4024:History
3870:Premove
3838:engines
3833:matches
3798:Outline
3667:AP poll
3116:29 June
3104:Valve.
712:where:
126:Lichess
5373:poetry
5363:novels
5338:Caïssa
5270:Senior
5260:Junior
4848:Dragon
4843:Alapin
4528:Skewer
4394:passed
4337:Gambit
4144:female
4105:Europe
4088:Africa
3983:Knight
3978:Bishop
3701:People
3642:Glicko
3620:family
2104:where
304:where
105:Dota 2
5320:WCSCC
5265:Youth
5255:Blitz
5250:Rapid
5240:Women
5203:Women
5155:Study
5010:Other
4543:X-ray
4466:Decoy
4451:Block
4406:Tempo
4369:Pawns
4287:Terms
4206:Check
4188:Rules
4122:India
4115:Spain
4100:China
3993:Fairy
3968:Queen
3899:norms
3790:Chess
3302:(PDF)
3295:(PDF)
3270:(PDF)
3259:(PDF)
3083:(PDF)
3076:(PDF)
39:Glico
5358:film
5315:WCCC
5310:TCEC
5300:CSVN
5245:Team
5215:List
4491:Fork
4416:Trap
4216:Draw
3988:Pawn
3973:Rook
3963:King
3911:List
3880:list
3855:FIDE
3588:Log5
3310:2019
3278:2020
3221:2024
3198:2024
3171:2015
3144:2023
3118:2021
3091:2022
1778:and
482:34.6
399:for
128:and
48:and
44:The
5295:CCC
4511:Pin
4315:PGN
3637:Elo
3632:DWZ
3618:Elo
2719:exp
2698:as
2370:0.2
2258:exp
1030:400
972:400
474:100
444:350
422:Or
375:100
354:350
285:350
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