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Here's a scenario I've had in my head for a while. Ancient history is not my forte, so if I'm making any mistakes, please correct me.
The scenario is the Persians win at the Battle of Salamis and the Greco-Persian Wars. The Persians do their thing (Set up some collaborator states, "Pay us tribute, we'll leave you to your own devices"), but many "free" Greeks flee to Magna Graecia. This colony manages to prosper and, once they realize they can't take back Greece proper, just take over the Italian peninsula. After the Persian Empire collapses due to a dynastic struggle a few centuries after the PoD, Greece proper is seen by Magna Graecia as a bunch of traitors and an "eternal" rivalry is born.
So, here are my questions:
Which Greek city-states are most likely to bow down to the Persians? Which are most likely to run off?
Is it plausible for Magna Graecia to conquer the Italian peninsula? Is it possible for it to become a power in its own right, like Carthage was?
What happens to Carthage? Is it destroyed by the Greeks? Is it bolstered by Greek immigration and prosper?
How will "barbarian" tribes' migrations change? Is it even possible to determine this?
Where will the Persians go after their victory? Will they be emboldened, or will they stop their expansion? If they continue expanding, where?
When is it most likely for the Persians to collapse? Which empires would most likely rise from the ashes to regain the glory that was Persia?
In this world without Alexander and a longer-lasting Achaemenid Empire, how are the Near and Far East affected?