How much space do a pair of dwarf goats need?

  What kind of space do they need as a "pasture" or run and what size housing building do they need. I'm looking for bare minimums but still giving them a decent life.
I'd say a nice 1/4 to 1/2 an acre would be perfect for them. As far as housing, you'd only need a small shelter for them to stand in when the weather is bad. They're alright sleeping out in the pasture for the most part .

I'd look into some dog-proof fencing though.
A good size pasture is more important then the housing size. Like the other answer says 1/4 to 1/2 acre is good. The house could be 5 by 5 feet. electric fencing is best to keep them in and predators out.