You need to be agressive and keep the Arbiter on the run or on the defense. Your argument against the arbiter is that he can virtually destroy anything; well what do you expect from a Hero that can demolish armies. That's his nature. if you attack his economy in the beggining, his rage would only destroy himself.
How to tell if you're cool over the internet:
1.You correct other peoples grammer
2.You wait for people to err in their reasoning
3.You noticed I spelled grammer wrong you're a legend for noticing
4.Your logic is always sound and your opinion is fact