indulgence vs binge

indulgence and binge both are nouns.

Word	Noun	Adjective	Verb	Adverb
indulgence	Yes	No	No	No
binge	Yes	No	Yes	No

As nouns, binge is a hyponym of indulgence; that is, binge is a word with a more specific, narrower meaning than indulgence:

Other hyponyms of indulgence include intemperance, intemperateness, self-indulgence, excess, overindulgence, orgy, splurge.

indulgence (noun)	binge (noun)
the act of indulging or gratifying a desire	an occasion for excessive eating or drinking
foolish or senseless behavior	any act of immoderate indulgence
the remission by the pope of the temporal punishment in purgatory that is still due for sins even after absolution
an inability to resist the gratification of whims and desires
a disposition to yield to the wishes of someone

indulgence (verb)	binge (verb)
	overeat or eat immodestly; make a pig of oneself
	to watch a large amount of media in a single seating