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Games that challenge the player with critical thinking to solve levels. 

A game where you have to start over from the beginning when you die. Often goes together with procedural generation, so it doesn't get boring!

A turn-based game mechanic is the opposite of a real-time game mechanic. In a Turn-By-Turn mechanic (synonym), each player has to wait for the other to have played, so that they can play, and so on. This way, each player has the time to think about their strategy. TBT games rely less on action than real-time games.