Abstract
A number of variations of the domination game and the total domination game have been introduced. Some appeared earlier than 2010, when the seminal paper on the domination game was published. For some reason these games had not received a lot of attention, and the introduction of the new domination game(s) brought them back to the light. In addition, a number of new games appeared in the last decade, which were triggered by the success of the domination game.
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