arbiter vs judge

arbiter and judge both are nouns.

Word	Noun	Adjective	Verb	Adverb
arbiter	Yes	No	No	No
judge	Yes	No	Yes	No

As nouns, judge is a hypernym of arbiter; that is, judge is a word with a broader meaning than arbiter:

Other hypernyms of arbiter include evaluator.

arbiter (noun)	judge (noun)
someone chosen to judge and decide a disputed issue	a public official authorized to decide questions brought before a court of justice
someone with the power to settle matters at will	an authority who is able to estimate worth or quality

arbiter (verb)	judge (verb)
	form a critical opinion of
	judge tentatively or form an estimate of (quantities or time)
	determine the result of (a competition)
	pronounce judgment on
	put on trial or hear a case and sit as the judge at the trial of