cold-shoulder vs discount

cold-shoulder is not a noun while discount is a noun.

Word	Noun	Adjective	Verb	Adverb
cold-shoulder	No	No	Yes	No
discount	Yes	No	Yes	No

As verbs, discount is a hypernym of cold-shoulder; that is, discount is a word with a broader meaning than cold-shoulder:

Other hypernyms of cold-shoulder include brush aside, brush off, dismiss, disregard, ignore, push aside.

cold-shoulder (noun)	discount (noun)
	the act of reducing the selling price of merchandise
	an amount or percentage deducted
	interest on an annual basis deducted in advance on a loan
	a refund of some fraction of the amount paid

cold-shoulder (verb)	discount (verb)
pay no attention to, disrespect	bar from attention or consideration
	give a reduction in price on