game studies vs arts

game studies and arts both are nouns.

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

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

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

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

game studies (noun)	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)