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A tally of wins and losses for games between three chess players: Topalov, Anand, Karpov
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The players are:
Grandmaster Veselin Topalov. FIDE world champion 2005-2006; peak rating 2813
Grandmaster Viswanathan Anand. FIDE world champion 2000-2002, 2008; peak rating 2799
Grandmaster Anatoly Karpov. FIDE world champion 1993-1999; peak rating 2780
Observe that Topalov beats Anand, Anand beats Karpov, and Karpov beats Topalov (here, “beats” means “wins more games than”).
The games thus resemble a noisy version of “rock paper scissors”.
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