If you're one of those people who reads Textfiles.com and wishes you could get a little taste of that, play
Digital: A Love Story. The technology is a bit "lol this makes no sense" sometimes (I think as a result of being written in RenPy, an engine for making Visual Novel type games), but it makes enough sense, and is self consistent enough, that it works.
As for the story, well... It worked well enough that, let's just say I had trouble hitting the last enter button needed to do the thing that does the thing and ends the story.
Comments
For these purposes, I only consider there to be two useful definitions. A game is either:
1. A series of interesting player decisions.
or
2. A multi-player comparative test of specific skills.
Does it meet one of those two?
3. A pre-determined path where the only significant decision the player makes is whether to actively continue.
This covers games like "Covetous." They're not really games, but more like stories where you, the consumer, are forced to consciously choose to progress them to the end. In a way, they're just like books or movies (you have to choose to keep reading/watching), but they have the added factor that you actually do make the active decision to make it continue, as opposed to the passive one of letting it continue.
This is useful as an art piece or to prove a point. Force a player to actively commit some horrible act, rather than showing them the act. Interesting and distinct from just stories, but not really games, we really need a separate word for this sort of thing. A "Choose Your Own Adventure" is a game, as it fits the first definition. But if there are no alternate paths, then suddenly it's one of these "third types."
For the purpose of single player games, AI are considered competitors.
Imagine a kinetic sculpture where the observer is invited to stab and kill the artist. Or where the observer is invited to knock it over and destroy it. Where the work is not complete for a viewer until they take a specific action. Most kinetic art can be interacted with, but the state of the art is rarely truly affected. Spin the cube, it eventually stops spinning.
It's a subcategory of interactive art, but important to distinguish I think.