What's the "additions" to Greek gods' names (e.g. 'Pallas' Athena, Athena 'Promachios') for and do other gods have these as well?

by NocteVesania

I have read Athena being called Pallas Athena a few times, but I can't seem to find what the 'Pallas' part is for. Is there an explanation behind this addition to the name?

As for Athena Promachios, I read that it is a 'nickname' for that specific depiction for Athena. Is that a 'universal' depiction of Athena (i.e. is this depiction found in different parts of Ancient Greece) or is it tied to only one location?

Finally, I have only found instances of Athena having examples of this. Do the other Greek gods have these as well?

pgm123

I have a related question. I do know that other Greek gods had various epithets like Zeus Agoraeus, Zeus Areius, or Zeus Olympios. If you sacrifice to Zeus Agoraeus or Athena Promachios, would it be viewed as worshiping a different god? Is it like an avatar in Hinduism? Or is it just a title?