This is an era of milk and honey for those who live, breathe and make their livelihood from chess. But, like family members fighting over a piece of bread at the dinner table, the top players cannot seem to stop getting into disputes about the integrity of the game.

The latest episode concerns Hikaru Nakamura, one of chess’s top stars, and Vladimir Kramnik, who was world champion from 2000 to 2007. Last month, in a series of blog posts on Chess.com, the world’s most popular chess site, Kramnik insinuated that Nakamura had probably cheated while playing on the site.