shame vs outdo

shame is a noun but outdo is not a noun.

Word	Noun	Adjective	Verb	Adverb
shame	Yes	No	Yes	No
outdo	No	No	Yes	No

As verbs, outdo is a hypernym of shame; that is, outdo is a word with a broader meaning than shame:

Other hypernyms of shame include exceed, outgo, outmatch, outperform, outstrip, surmount, surpass.

shame (noun)	outdo (noun)
an unfortunate development
a painful emotion resulting from an awareness of inadequacy or guilt
a state of dishonor

shame (verb)	outdo (verb)
surpass or beat by a wide margin	be or do something to a greater degree
cause to be ashamed	get the better of
bring shame or dishonor upon
compel through a sense of shame