a contest (for a trophy, a title, etc...)

(historical) battleaxe, poleaxe

battle of the brains

(sports) a game/match between teams from Waseda University and Keio University

(collective, chiefly in compounds) many or all battles

final (match or game to decide the champion of a tournament)

attrition warfare

(informal) to have "won" a match on a psychological or personal level despite losing to all appearances

a combat sport match where opponents compete against each other using different styles of martial arts

(military) siege (military blockade of settlement)