What is the philosophical term for Callicle's position here? The quotes are from Plato's Gorgias.
SOCRATES: [...] Tell me, then:—you say, do you not, that in the rightly-developed man the passions ought not to be controlled, but that we should let them grow to the utmost and somehow or other satisfy them, and that this is virtue?
CALLICLES: Yes; I do.
SOCRATES: Then those who want nothing are not truly said to be happy?
CALLICLES: No indeed, for then stones and dead men would be the happiest of all.
I have searched existentialism and hedonism but they appear too broad, so if either of them contain it, pointers to specific authors or works that treat the topic are welcome. Hedonism in particular I thought was what I was looking for, but it relies on realizing pleasure and avoiding pain, whereas Callicles assumes the "pain of desiring" as a part of happiness, later in the dialogue:
SOCRATES: [...] And now would you say that the life of the intemperate is happier than that of the temperate? Do I not convince you that the opposite is the truth?
CALLICLES: You do not convince me, Socrates, for the one who has filled himself has no longer any pleasure left; and this, as I was just now saying, is the life of a stone: he has neither joy nor sorrow after he is once filled; but the pleasure depends on the superabundance of the influx.
SOCRATES: But the more you pour in, the greater the waste; and the holes must be large for the liquid to escape.
CALLICLES: Certainly.
SOCRATES: The life which you are now depicting is not that of a dead man, or of a stone, but of a cormorant; you mean that he is to be hungering and eating?
CALLICLES: Yes.
SOCRATES: And he is to be thirsting and drinking?
CALLICLES: Yes, that is what I mean; he is to have all his desires about him, and to be able to live happily in the gratification of them.
I am asking for a philosophical school of thought that includes "unsatisfaction" or "the yearning for more" as a fundamental part of "happiness" (or maybe this is hedonism and I am not understanding it right).
EDIT: From the comments, it seems that assuming any kind of unsatisfaction as a condition for happiness leads to philosophies of "nothingness" or "the absolute", thus denying happiness?.