profligacy vs self-indulgence

profligacy and self-indulgence both are nouns.

Word	Noun	Adjective	Verb	Adverb
profligacy	Yes	No	No	No
self-indulgence	Yes	No	No	No

As nouns, self-indulgence is a hypernym of profligacy; that is, self-indulgence is a word with a broader meaning than profligacy:

profligacy: dissolute indulgence in sensual pleasure
self-indulgence: excess in action and immoderate indulgence of bodily appetites, especially in passion or indulgence

Other hypernyms of profligacy include intemperance, intemperateness.

profligacy (noun)	self-indulgence (noun)
dissolute indulgence in sensual pleasure	excess in action and immoderate indulgence of bodily appetites, especially in passion or indulgence
the trait of spending extravagantly	an inability to resist the gratification of whims and desires