In a 2 player game, if the first player gets 4 to start, then unless the map is so skewed that both players are directly opposite, he'll be able to find four territories to take with no chance of losing them the next round. Many places you wouldn't even need to deploy: if you have two territories next to one, you'll take it. Try applying this to any game you've just started, and see how many you can take over. It'll be a lot more than you could take with dice.

Not quite, and the first player could never take more than 2 terries....

start=3 per terry, so the first player places 4 armies on one terry. Same player takes terry 1, loses 3 in attack, has to leave one behind, so moves 3 in. this now means just 4 on the next attacking terry against 3, so has to use armies from another surrounding terry to reduce to 2 before attacking, then takes. great, but player then has 3 terries with just 1 army on each.