A "deathmatch game" refers to a type of video game where the main objective is to eliminate or "kill" all the other players in the game. The last player standing is declared the winner. Full definition
We also brought back the local multiplayer Team Deathmatch game mode. (gaminginstincts.com)
Titan Studio's must have also thought that would happen and included a few alternative game modes, these include the standard team deathmatch game mode, Snatch and Grab and Invasion. (thekoalition.com)
The multiplayer is unique and fun, it's not just another thrown in deathmatch game mode. (metacritic.com)