i recomend you read the Tao te Ching and Art of war if you havent already. Thats not to be patronising by the way. There is always a way to win the AI with whatever you've got. Against human opponents online it may be that you need powerful units.
Take hannibal at Canne, he didnt have any battle winning troops: he had a few pikemen, a lot of spanish medium troops and cavalry better than his opponent. He won the battle by his use of tactics over his adversary. Another general would have used the army another way and would have surley lost the battle. The romans had that 50% bigger rock and still lost.
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