I'm going to rely a story I had in the Civ Phase today.
There was this epic living out side the city of a neighbor. It was far enough away from the city that it should be fine. I start trading with the city and buy it out. 'Lo and behold, the Epic starts terrorizing the city... destroying all buildings and wreaking havoc. So I sell everything. There is only the town hall left. The epic, for nearly the rest of the game, is attacking this town hall because it cannot destroy it. Eventually it winds up inside the city walls. Oh great.. even if I do buy a military city, that makes fighting it that much harder. So I leave it alone for awhile as it continually pounds this city. Eventually I get tired of it and tired of sitting on my gobs and gobs of money and having a wasted city. Since the Epic is focusing on the Town Hall which can't be destroyed, I build two houses the farthest away from it I can. They survive. I say to myself awesome, I can build a few more economic units. So my with my gobs of money.. I decide it's time to rid myself of this thing. I place 4 turrets on my city walls and watch as they turn to engage the epic. He fires at one and halves it's life. I go to the city planner and sell it for 1000$ credits. I place another. I keep doing this until eventually the epic lays dead in the center of the city done in by measly turrets that die in 2 hits. I was able to do this because the player controls the balance. I could pause, zoom, build, at will. I could do this in my cities if I wanted to micromanage and make sure I'd never lose a city (if I had the money). It was kind of rewarding to fell this nuisance who kept attacking this village as if it was a replica of Tokyo from a Godzilla movie.
Being a completely Economic race can present some problems, such as your inability to deal with Epics.