In either vanilla or DEI:
How would you fight an open field battle as the Romans against a Parthian army ( against the AI) specially if it brings many horse archers plus an important amount of melee cavalry units? Would you adopt a defensive tactic depending on what type of units you have? I know by experience that many times it is not a good idea to start chasing the parthian cavalry archers/skirmishers with your melee cavalry units specially if they're not fully upgraded yet ( so that they run faster ). If they run slower than the parthian cavalry archers you'd be sending them to suicide.
And the other way round as well:
How would you fight a battle as the Parthians against a Roman army ( against the AI as well ) in open field battle? Does your tactic depend on what type of units the Roman army has? What would you do once all your cavalry archers/skirmishers run out of ammunition and there are still Roman melee infantry units alive? Specially strong roman units such as principes, triarii, veteran legionaries, praetorians, etc