Ok got my battles working. I have not done an invasion yet, but I discovered that if things are a bit desperate, just place ALL your troops on the Capital city tile and you should win even with inferior (2-1) numbers, unless the enemy numbers are truly overwhelming. This makes a lot of sense since the Defender usually always has the advantage in a straight streets city siege.
Now if you`re attacking the reverse is likely true (if the Devs kept it realistic), which would mean you need THREE times the number of attacking troops at least to win a ground battle. I`m sure Tech levels affects this.