Games are inherently non-linear. They depend on decision making. Decisions have to pose real, plausible alternatives, or they aren't real decisions. It must be entirely reasonable for a player to make a decision one way in one game, and a different way in the next. Hypertext is inherently non-linear, so that the traditional narrative is wholly inappropriate to hypertext work Writers of hypertext fiction are trying to explore the nature of human existence, as does the traditional story, but in a way that permits multiple viewpoints, temporal leaps, and reader construction of the experience.
Stories are linear.
Games are not. Games require active participation. A game is a form of art in which participants, termed players, make decisions in order to manage resources through game tokens in the pursuit of a goal. The game state changes with the players' actions. But interaction has no value in itself.