A few big tournaments are still ongoing, namely: Isle of Man and Tal Memorial, thus their results are not yet counted for the October update of the FIDE Ratings List.
Nevertheless, a few changes happened since last month. Vladimir Kramnik retakes the 2nd place from Maxime Vachier-Lagrave, and Wesley So overtakes Hikaru Nakamura at the 6th place in the October ratings update.
Anish Giri may have earned 1 rating point, but Pentala Harikrishna and Ding Liren gained 10 points and 11 points, respectively, to overtake him in the ranking. Thus, Giri slid down from 12th to 14th place.
Listed below are the top 20 players as of the October 2016 update:
Check out the top 100 list in the October 2016 update.