game studies vs liberal arts

game studies and liberal arts both are nouns.

Word	Noun	Adjective	Verb	Adverb
game studies	Yes	No	No	No
liberal arts	Yes	No	No	No

As nouns, liberal arts is a hypernym of game studies; that is, liberal arts is a word with a broader meaning than game studies:

game studies: The study of games and gaming, especially video games.
liberal arts: studies intended to provide general knowledge and intellectual skills (rather than occupational or professional skills)

Other hypernyms of game studies include arts, humanistic discipline, humanities.

game studies (noun)	liberal arts (noun)
The study of games and gaming, especially video games.	studies intended to provide general knowledge and intellectual skills (rather than occupational or professional skills)