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DPS stands for Damage per Second.

The term is most often applied to video games where damage is consistently or automatically dealt over a set number of seconds (e.g. World of Warcraft) although DPS can be extrapolated to represent how much average damage something can do in a given set of time, even in a turn-based roleplay setting.

Saying something is a DPS is also slang for character classes, weapons, or builds that emphasize consistently dealing a lot of damage every player turn/in game tick.