The Fédération Internationale des Échecs (FIDE) is the organization that governs international chess competition. At two-month intervals, FIDE publishes ratings of the best international chess players, as well as a ranking of the top 100 active players. The Elo rating system is used.
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The top 15 positions in the rankings for November 2011 are as follows:
| Rank | Player | Rating |
|---|---|---|
| 1 | Magnus Carlsen | 2826 |
| 2 | Viswanathan Anand | 2811 |
| 3 | Levon Aronian | 2802 |
| 4 | Vladimir Kramnik | 2800 |
| 5 | Teimour Radjabov | 2781 |
| 6 | Vassily Ivanchuk | 2775 |
| 7 | Veselin Topalov | 2768 |
| 8 | Sergey Karjakin | 2763 |
| 9 | Alexander Morozevich | 2762 |
| 10 | Hikaru Nakamura | 2758 |
| 11 | Vugar Gashimov | 2756 |
| 12 | Peter Svidler | 2755 |
| 13 | Alexander Grischuk | 2752 |
| 14 | Boris Gelfand | 2744 |
| 15 | Evgeny Tomashevsky | 2740 |
Women may play in the same events as men in chess and are rated together with the men. As of November 2011, the highest rated woman player is Judit Polgár, ranked 35th, although Polgar has previously ranked as high as eighth.
| Rank | Player | Rating |
|---|---|---|
| 1 | Judit Polgár | 2710 |
| 2 | Humpy Koneru | 2600 |
| 3 | Hou Yifan | 2578 |
| 4 | Anna Muzychuk | 2562 |
| 5 | Kateryna Lahno | 2549 |
| 6 | Nadezhda Kosintseva | 2546 |
| 7 | Wenjun Ju | 2543 |
| 8 | Xue Zhao | 2541 |
| 9 | Antoaneta Stefanova | 2531 |
| 10 | Tatiana Kosintseva | 2526 |
| 11 | Nana Dzagnidze | 2516 |
| 12 | Valentina Gunina | 2514 |
| 13 | Harika Dronavalli | 2513 |
| 14 | Marie Sebag | 2512 |
| 15 | Anna Zatonskih | 2506 |
The top 20 positions in the rankings for November 2011 are as follows:
| Rank | Player | Rating |
|---|---|---|
| 1 | Fabiano Caruana | 2727 |
| 2 | Le Quang Liem | 2714 |
| 3 | Anish Giri | 2714 |
| 4 | Liren Ding | 2660 |
| 5 | Wesley So | 2659 |
| 6 | Sebastien Feller | 2658 |
| 7 | Maxim Matlakov | 2632 |
| 8 | Eltaj Safarli | 2630 |
| 9 | Robert L Hess | 2625 |
| 10 | Yangyi Yu | 2623 |
| 11 | Sanan Sjugirov | 2622 |
| 12 | Ivan Salgado Lopez | 2621 |
| 13 | Anton Kovalyov | 2619 |
| 14 | Parimarjan Negi | 2617 |
| 15 | Yaroslav Zherebukh | 2594 |
| 16 | Ray Robson | 2594 |
| 17 | Alexander Ipatov | 2586 |
| 18 | Robert Hovhannisyan | 2586 |
| 19 | Dariusz Swiercz | 2584 |
| 20 | Yifan Hou | 2578 |