An American grandmaster sued Magnus Carlsen, the world’s top player, and two other parties after Carlsen accused him of cheating. A settlement has been announced.

Ding prevailed in a rapid-play tiebreaker to defeat Ian Nepomniachtchi of Russia. He is the first Chinese man to hold the world title.

A victory by Ian Nepomniachtchi or Ding Liren would come with political overtones. But Magnus Carlsen’s absence is the talk of the final.

Sarasadat Khademalsharieh, ranked No. 17 among women in the world, will not return to Iran after forgoing a head scarf at an international championship.