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Who is Kasparov?
https://en.wikipedia.org/wiki/Garry_Kasparov
Garry Kimovich Kasparov (Russian: Га́рри Ки́мович Каспа́ров, Russian pronunciation: [ˈɡarʲɪ ˈkʲiməvʲɪtɕ kɐˈsparəf]; born Garik Kimovich Weinstein,[2] 13 April 1963) is a Russian chess grandmaster, former world chess champion, writer, and political activist, whom many consider to be the greatest chess player of all time.[3] From 1986 until his retirement in 2005, Kasparov was ranked world No. 1 for 225 out of 228 months. His peak rating of 2851,[4] achieved in 1999, was the highest recorded until being surpassed by Magnus Carlsen in 2013. Kasparov also holds records for consecutive professional tournament victories (15) and Chess Oscars (11).
Kasparov became the youngest ever undisputed World Chess Champion in 1985 at age 22 by defeating then-champion Anatoly Karpov.[5] He held the official FIDE world title until 1993, when a dispute with FIDE led him to set up a rival organization, the Professional Chess Association.[6] In 1997 he became the first world champion to lose a match to a computer under standard time controls, when he lost to the IBM supercomputer Deep Blue in a highly publicized match. He continued to hold the "Classical" World Chess Championship until his defeat by Vladimir Kramnik in 2000. In spite of losing the title, he continued winning tournaments and was the world's highest-rated player when he retired from professional chess in 2005.
Is Kasparov the greatest ever?
https://en.wikipedia.org/wiki/Comparison_of_top_chess_players_throughout_history
Statistical methods
Elo system
Main articles: Elo rating system and List of chess players by peak FIDE rating
Perhaps the best-known statistical model is that devised by Arpad Elo in 1960 and further elaborated on in his 1978 book The Rating of Chessplayers, Past and Present.[1] He gave ratings to players corresponding to their performance over the best five-year span of their career. According to this system the highest ratings achieved were:
2725: José Raúl Capablanca
2720: Mikhail Botvinnik, Emanuel Lasker
2700: Mikhail Tal
2690: Alexander Alekhine, Paul Morphy, Vasily Smyslov
(Though published in 1978, Elo's list did not include five-year averages for Bobby Fischer and Anatoly Karpov. It did list January 1978 ratings of 2780 for Fischer and 2725 for Karpov.)[2]
In 1970, FIDE adopted Elo's system for rating current players, so one way to compare players of different eras is to compare their Elo ratings. The best-ever Elo ratings are tabulated below.[3]
As of December 2015, there were 101 chess players in history who broke 2700 and thirteen of them exceeded 2800.[4][5][6][7][8] Particularly notable are the peak ratings of Fischer, Karpov and Kasparov, who achieved their peak ratings in earlier years (1972, 1994, and 1999 respectively).
Table of top 20 rated players of all-time, with date their best ratings were first achieved
Rank Rating Player Year-month
1 2882 Magnus Carlsen May 2014
2 2851 Garry Kasparov July 1999
3 2844 Fabiano Caruana October 2014
4 2830 Levon Aronian March 2014
5 2822 Wesley So February 2017
6 2820 Shakhriyar Mamedyarov September 2018
7 2819 Maxime Vachier-Lagrave August 2016
8 (tie) 2817 Viswanathan Anand March 2011
8 (tie) 2817 Vladimir Kramnik October 2016
10 (tie) 2816 Veselin Topalov July 2015
10 (tie) 2816 Hikaru Nakamura October 2015
10 (tie) 2816 Ding Liren November 2018
13 2810 Alexander Grischuk December 2014
14 2798 Anish Giri October 2015
15 2793 Teimour Radjabov November 2012
16 (tie) 2788 Alexander Morozevich July 2008
16 (tie) 2788 Sergey Karjakin July 2011
18 2787 Vassily Ivanchuk October 2007
19 2785 Bobby Fischer April 1972
20 2780 Anatoly Karpov July 1994
Average rating over time
The average Elo rating of top players has risen over time. For instance, the average of the top 10 active players rose from 2751 in July 2000 to 2794 in July 2014, a 43-point increase in 14 years. The average rating of the top 100 players, meanwhile, increased from 2644 to 2703, a 59-point increase.[9] Many people believe that this rise is mostly due to a system artifact known as ratings inflation, making it impractical to compare players of different eras.[10]
Arpad Elo was of the opinion that it was futile to attempt to use ratings to compare players from different eras; in his view, they could only possibly measure the strength of a player as compared to his or her contemporaries. He also stated that the process of rating players was in any case rather approximate; he compared it to "the measurement of the position of a cork bobbing up and down on the surface of agitated water with a yard stick tied to a rope and which is swaying in the wind".[11]
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