jeu d'esprit vs witticism

jeu d'esprit and witticism both are nouns.

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

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

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

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

jeu d'esprit (noun)	witticism (noun)
a witty comment or writing	a message whose ingenuity or verbal skill or incongruity has the power to evoke laughter