What are the functions of the Ancient Greek Gods in Homer’s Odyssey (Books VI-VIII) and Sophocles’ Antigone? Are they similar or different?

As we are told in the introductions of these works, contrary to the major religions of our time, the Ancient Greek Gods do not assimilate with any set moral system: they can act as despicably as any human, yet they do not suffer the consequences of their actions. How are the fates of the main characters, in the Odyssey and Antigone, determined by divine laws/whims? How do these characters, while being subjected to these laws, assert their own agency, either by rebelling against the Gods, or affirming their will against all odds?