head game vs deceit

head game and deceit both are nouns.

Word	Noun	Adjective	Verb	Adverb
head game	Yes	No	No	No
deceit	Yes	No	No	No

As nouns, deceit is a hypernym of head game; that is, deceit is a word with a broader meaning than head game:

Other hypernyms of head game include deception, dissembling, dissimulation.

head game (noun)	deceit (noun)
the act of deluding; deception by creating illusory ideas	the act of deceiving
	the quality of being fraudulent
	a misleading falsehood