structural:scholar_edition, structural:reformatting
Post-retirement chess

On 22 August 2006, in his first public chess games since his retirement, Kasparov played in the Lichthof Chess Champions Tournament, a blitz event played at the time control of five minutes per side and three-second increments per move. Kasparov tied for first with Karpov, scoring 4½/6.

Kasparov and Karpov played a 12-game match from 21 to 24 September 2009, in Valencia, Spain. It consisted of four rapid (or semi rapid) games, in which Kasparov won 3–1, and eight blitz games, in which Kasparov won 6–2, winning the match with a final result of 9–3. The event took place exactly 25 years after the two players' unfinished encounter at World Chess Championship 1984.

Kasparov coached Carlsen for approximately one year, beginning in February 2009. The collaboration remained secret until September 2009. Under Kasparov's tutelage, Carlsen in October 2009 became the youngest ever to achieve a FIDE rating higher than 2800, and he rose from world number four to world number one. While the pair initially planned to work together throughout 2010, in March of that year it was announced that Carlsen had split from Kasparov and would no longer be using him as a trainer. According to an interview with the German magazine Der Spiegel, Carlsen indicated that he would remain in contact and that he would continue to attend training sessions with Kasparov; however, no further training sessions were held, and the cooperation fizzled out over the course of the spring. In 2011, Carlsen said: "Thanks to I began to understand a whole class of positions better.... Kasparov gave me a great deal of practical help." In 2012, when asked what he learnt from working with Kasparov, Carlsen answered: "Complex positions. That was the most important thing."

In May 2010, Kasparov played and won 30 games simultaneously against players at Tel Aviv University in Israel. In the same month, it was revealed that he had aided Anand in his preparation for the World Chess Championship 2010 against challenger Veselin Topalov. Anand won the match 6½–5½ to retain the title.

Kasparov began training the U.S. grandmaster Hikaru Nakamura in January 2011. The first of several training sessions was held in New York just before Nakamura participated in the Tata Steel Chess tournament in Wijk aan Zee, the Netherlands. In December 2011, it was announced that their cooperation had come to an end.

Kasparov played two blitz exhibition matches in the autumn of 2011. The first was in September against French grandmaster Maxime Vachier-Lagrave, in Clichy (France), which Kasparov won 1½–½. The second was a longer match consisting of eight blitz games played on 9 October, against English grandmaster Short. Kasparov won again by a score of 4½–3½. A little after that, in October 2011, Kasparov played and defeated fourteen opponents in a simultaneous exhibition that took place in Bratislava.

On 25 and 26 April 2015, Kasparov played a mini-match against Short. The match consisted of two rapid games and eight blitz games and was contested over the course of two days. Commentators GM Maurice Ashley and Alejandro Ramírez remarked how Kasparov was an 'initiative hog' throughout the match, consistently not allowing Short to gain any foothold in the games. Kasparov won the match decisively (8½–1½), winning all five games on the second day. These victories were characterised by aggressive pawn moves breaking up Short's position, thereby allowing Kasparov's pieces to achieve positional superiority.

Kasparov played and won all nineteen games of a simultaneous exhibition in Pula, Croatia on 19 August 2015. At the Chess Club and Scholastic Center of Saint Louis on 28 and 29 April 2016, Kasparov played a 6-round exhibition blitz round-robin tournament with Fabiano Caruana, Wesley So and Nakamura in an event called the Ultimate Blitz Challenge. He finished the tournament third with 9.5/18, behind Nakamura (11/18) and So (10/18). At the post-tournament interview, Kasparov announced that he would donate his winnings from playing the next top-level blitz exhibition match to assist funding of the American Olympic Team.

On 2 June 2016, Kasparov played against fifteen chess players in a simultaneous exhibition in the Kaiser-Friedrich-Halle of Mönchengladbach. He won all games.