Top chess players of history. This article examines a number of methodologies that have been suggested for the task of comparing top players throughout history, particularly the question of comparing the greatest players of different eras.
Statistical methods offer objectivity but, whilst there is agreement on systems to rate the strengths of current top chess players, there is disagreement and controversy on whether such techniques can be applied to players from different generations who never competed against each other.
Perhaps the best-known statistical model is that devised by Arpad Elo. In his 1978 book The Rating of Chessplayers, Past and Present, 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.)
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 average Elo rating of top players has risen over time. For instance, the average of the top 100 active player rose from 2644 in July 2000 to 2689 in January 2010, a 45 point increase.
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.
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".
So who do you think are the top players, then and now?
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