arts vs game studies

arts and game studies both are nouns.

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

As nouns, game studies is a hyponym of arts; that is, game studies is a word with a more specific, narrower meaning than arts:

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

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