List of highest chess Tournament Performance Ratings
In chess, a player's strength is measured by the Elo rating system, which reflects a player's past results. The Tournament Performance Rating (TPR) measures a player's performance level in an individual event and is calculated from the percentage scored and the average Elo rating of the opponents. This article includes some of the best TPRs achieved during matches and tournaments since the introduction of the Elo system.
The formulas behind the Elo ratings can be used to yield an expected score for a player facing the opponents in the tournament. After the tournament has started, the idea of the TPR of player A is to approximate the a-priori rating with that a player would have an expected score equal to player A's score.
It is important to note that there are several different formulas used for a Performance rating: a purely mathematical one (based on the Elo system), a slightly modified one used by the World's governing body FIDE, as well as easier-to-use linear approximations or formulas that try to account for rating inflation (chess metrics).
Understandings and assumptions
- The Elo rating calculation is unreliable for perfect scores; the strength of the opponents must be taken into account.
- According to FIDE regulations, if the opponent is rated more than 400 points lower, the opponent's rating will be treated as if it were exactly 400 points lower for rating calculation purposes.[1]
- This overview will use the same rule but the other way around. When a perfect score is realized, 400 Elo points are added on the average opponent Elo rating.
- TPR's of 2900 or more are listed
- The minimum number of games for a perfect score is 6 during a match or tournament.
- Games must be played at standard time controls.
- The average Elo rating of the top 100 players from its beginning grew from 2538 in 1971 to over 2700 today.
- Since 1970, the world's population has doubled, the number of GMs has grown by more than 1000% and the number of FIDE rated players has also increased exponentially. We now can use better and more efficient training programs, computer support, health, assistance; therefore, it is not that easy to prove that rating inflation occurs and if so, by how much. [2]
- This overview only covers outstanding performances since 1963 when Elo ratings came into use. See further in external links section.
Legend
- Wopp = weakest opponent
- Sopp = strongest opponent
- Elo T = according TPR table
- Elo A = average opponents
- Elo M = Elo added for TPR
- Elo L = with limitations as described (+400 rule and based on Elo table for exact calculations)
Top tournament TPRs since 1970
| Players name | Event | Score | Rating | Wopp | Sopp | Elo T | Elo A | Elo M | Elo L | |||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Fabiano Caruana | St. Louis, 2014 | 8.5/10 (85%) | 2801 | 2768 | 2877 | 3098 | 2802 | 296 | 3098 | ||
| 2 | Magnus Carlsen | Nanjing, 2009 | 8/10 (80%) | 2770 | 2736 | 2813 | 3002 | 2762 | 240 | 3002 | ||
| 3 | Gabriel Sargissian | Zafra, 2007 | 6.5/7 (93%) | 2658 | 2483 | 2723 | 3021 | 2599 | 400 | 2999 | ||
| 4 | Magnus Carlsen | London, 2012 | 6.5/8 (81%) | 2848 | 2644 | 2815 | 2995 | 2740 | 253 | 2993 | ||
| 5 | Magnus Carlsen | Shamkir, 2015 | 7/9 (77%) | 2863 | 2651 | 2802 | 2985 | 2763 | 222 | 2985 | ||
| 6 | Vassily Ivanchuk | Sofia, 2008 | 8/10 (80%) | 2740 | 2696 | 2767 | 2978 | 2737 | 240 | 2977 | ||
| 7 | Anatoly Karpov | Linares, 1994 | 11/13 (85%) | 2740 | 2590 | 2805 | 2985 | 2681 | 291 | 2972 | ||
| 8 | Vassily Ivanchuk | Gibraltar, 2011 | 9/10 (90%) | 2764 | 2420 | 2721 | 2984 | 2602 | 366 | 2968 | ||
| 9 | Alexander Morozevich | Chișinău, 1998 | 9.5/10 (95%) | 2590 | 2405 | 2620 | 3027 | 2536 | 400 | 2936 | ||
| 10 | Evgeny Tomashevsky | Tbilisi, 2015 | 8/11 (73%) | 2716 | 2696 | 2810 | 2928 | 2746 | 182 | 2928 | ||
| 11 | Veselin Topalov | Bilbao, 2014 | 4.5/6 (75%) | 2784 | 2622 | 2789 | 2922 | 2730 | 193 | 2923 | ||
| 12 | Vladimir Kramnik | Olympiad, Manila, 1992 | 8.5/9 (94%) | 2590 | 2385 | 2615 | 3005 | 2514 | 400 | 2914 | ||
| 13 | Garry Kasparov | Belgrade, 1989 | 9.5/11 (86%) | 2775 | 2550 | 2660 | 2913 | 2599 | 313 | 2912 | ||
| 14 | Garry Kasparov | Tilburg, 1989 | 12/14 (86%) | 2775 | 2540 | 2660 | 2915 | 2604 | 304 | 2908 |
(calculations based on exact rating table, each digit rounded which can cause minor differences).
Top match TPRs since 1970
| Name | Year | Opponent | Score | Rating | Opp's Rating |
Elo T | Elo A | Elo M | Elo L | |||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Bobby Fischer | 1971 | Bent Larsen | 6/6 (100%) | 2760 | 2660 | 3060 | 2660 | 400 | 3060 | ||
| 2 | Bobby Fischer | 1971 | Mark Taimanov | 6/6 (100%) | 2740 | 2620 | 3020 | 2620 | 400 | 3020 | ||
| 3 | Garry Kasparov | 1986 | Tony Miles | 5.5/6 (91.7%) | 2720 | 2610 | 2987 | 2610 | 395 | 3005 |
Other notable TPRs
| Name | Event | Score | Rating | Wopp | Sopp | Elo T | Elo A | Elo M | Elo L | |||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Bobby Fischer | US Champs, NY, 1963 | 11/11 (100%) | 2620 | 2400 | 2580 | 3172 | 2470 | 400 | 2870 | ||
| 2 | John Nunn | Ol., Thessaloniki, 1984 | 10/11 (90.9%) | 2575 | 2365 | 2600 | 2868 | 2485 | 381 | 2866 | ||
| 3 | Bobby Fischer | Buenos Aires, 1970 | 15/17 (88.2%) | 2740 | 2340 | 2620 | 2837 | 2498 | 339 | 2837 | ||
| 4 | Sofia Polgar | Rome, 1989 | 8.5/9 (94.4%) | 2295 | 2100? | 2610 | 2879 | 2425 | 400 | 2825 | ||
| 5 | Alexander Beliavsky | Alicante, 1978 | 13/13 (100%) | 2530 | 2330 | 2520 | 3092 | 2390 | 400 | 2790 | ||
| 6 | Wesley So | Manila, 2011 | 9/9 (100%) | 2667 | 2083 | 2547 | 3037 | 2383 | 400 | 2783 | ||
| 7 | Yang-Fan Zhou | Brighton, 2011 | 9/9 (100%) | 2325 | 2022 | 2446 | 2940 | 2238 | 400 | 2647 |
See also
- Comparison of top chess players throughout history
- Chess rating systems
- List of FIDE chess world number ones
References and notes
External links
- Historic Elo ratings 1971–2001 at Olimpbase
- Official FIDE ratings Archived 2018-07-24 at the Wayback Machine (includes archive of FIDE Top Lists from July 2000 to the present)
- Facts and figures: Magnus Carlsen's performance in Nanjing
- FIDE ratings explained
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