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Digital games, especially video games, are the most popular form of interactive digital media at the moment. As such digital game design is, by extension, an important subject of study to any interactive media developer.
On the other hand games have many specific requirements which are not shared by other interactive media (winning and losing conditions, for one). This is to say games are not the ideal medium for many kinds of traditional content like stories and fictional worlds. Developers interested in those subjects should look at interactive fiction and interactive simulations.