If it helps, here is a mini-EOG from the one Ancient game I have managed to win:
I was Carthage, and swiftly made an alliance with Egypt, giving up Leptis in exchange for a series of bounces and DMZs. This left me with Rome as my only neighbor, and I somehow managed to convince him that the two of us and Egypt could be a "triple" and dominate the board. I started sending fleets toward the center and armies around the perimeter to "support" him.
Meanwhile, _everyone_ attacked Greece. He reached out to me for help, and I agreed to distract Rome when I had the opportunity.
The stab ended up working far better than I expected, and Rome completely collapsed. Greece got minimal gains, however, due to barely holding off Egypt and Persia. I began moving armies around Greece, with Greece thinking I was coming to his aid and the other two thinking I was coming to _their_ aid.
Persia was on the verge of a major breakthrough in Greece, and was getting overconfident. So, I talked him into stabbing Egypt and splitting the world two ways. He bought this, and the furious Egyptians threw everything at him. This gave me the opening I needed, and I stabbed Egypt and Greece more or less simultaneously for the win.
A word of advice for Persian players: if you want to fight Egypt, build fleets! Persia in this game had twice the supply centers that Egypt did when he stabbed him, but was woefully short on fleets and completely stalemated.