jeu d'esprit vs wit

jeu d'esprit and wit both are nouns.

Word	Noun	Adjective	Verb	Adverb
jeu d'esprit	Yes	No	No	No
wit	Yes	No	No	No

As nouns, wit is a hypernym of jeu d'esprit; that is, wit is a word with a broader meaning than jeu d'esprit:

jeu d'esprit: a witty comment or writing
wit: a message whose ingenuity or verbal skill or incongruity has the power to evoke laughter

Other hypernyms of jeu d'esprit include humor, humour, witticism, wittiness.

jeu d'esprit (noun)	wit (noun)
a witty comment or writing	mental ability
	a message whose ingenuity or verbal skill or incongruity has the power to evoke laughter
	a witty amusing person who makes jokes