arcade game vs computer game

arcade game and computer game both are nouns.

Word	Noun	Adjective	Verb	Adverb
arcade game	Yes	No	No	No
computer game	Yes	No	No	No

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

arcade game: An action game characterised by short levels, simple and intuitive control schemes, and rapidly increasing difficulty.
computer game: a game played against a computer

Other hypernyms of arcade game include video game.

arcade game (noun)	computer game (noun)
An action game characterised by short levels, simple and intuitive control schemes, and rapidly increasing difficulty.	a game played against a computer