How would slaves have addressed their masters in Ancient Greece?

Question

In Ancient Rome, slaves addressed their masters as Dominus or Domina (male or female, respectively).

Would the slaves (or servants) of Ancient Greece have used a similar title, or would they have simply used their masters's names?

Answer 1

"A Companion to the Ancient Greek Language" By Egbert J. Bakker

The only context in which titles can have been at all common in Greek society is addresses from slaves to their masters and mistresses.

In literary representations of such addresses δέσποτα “master” and δέσποινα "mistress" frequently occur, but they are by no means the rule, and in Menander address by name is more common

Free men and women who were not a slave's own master or mistress did not receive titles or any other type of respectful address from slaves, merely names or of respectful address from slaves, merely names or γύναι (woman?) as appropriate.

Answer 2

ἀνάξε (pronounced ah-NAHX-eh) is the vocative, if I've handled the accent right.

I vaguely suspect it might be ἄναξε (AH-nax-eh) - my greek is rusty.

Example (Odyssey 24.251):

οὐ μὲν ἀεργίης γε ἄναξ ἕνεκ᾽ οὔ σε κομίζει,

"It is not on account of your idleness your master does not take care of you"