hunting license vs game license

hunting license and game license both are nouns.

Word	Noun	Adjective	Verb	Adverb
hunting license	Yes	No	No	No
game license	Yes	No	No	No

As nouns, hunting license and game license are synonyms defined as:

hunting license and game license: a license authorizing the bearer to kill a certain type of animal during a specified period of time

Other synonyms of hunting license include hunting licence, hunting permit.

hunting license (noun)	game license (noun)
a license authorizing the bearer to kill a certain type of animal during a specified period of time	a license authorizing the bearer to kill a certain type of animal during a specified period of time