Questions for which answers that are entirely in-universe are, for the most part, non-"literary". (i.e. minutiae about a plot point or a character is not "literary" unless it can be connected to a theme or other work with similar elements.)
However, if such questions are related to "literary fiction", there is only the Literature forum to address them, however, so they can only be asked here.
If such questions relate to popular genre for which there is already a forum (i.e. SciFi/Fantasy) it would be better to utilize that forum, as not to alienate the wider literary audience who are not sci fi/fantasy readers.
Sci-Fi and Fantasy may be said to be the most literary of the genres, as it arose out of social critique (Gulliver's Travels, for instance) and is still utilized that way (Hunger Games).
Thus, "literary" questions can be asked about genre, but they tend to relate to themes, social critique, and connections to previous and subsequent work.
Q: Is there a mythological precedent to Hunger Games?
A: Yes. The most obvious is the tribute of the Athenian youths to Crete to die in the Labyrinth
Q: What are the themes of Hunger Games
A: Major themes include economic disparity and information warfare as a means of control. The books may be taken as a critique on W.Bush-era America specifically, and industrial societies in general.