Uber is only greatly cheaper during this initial period of VC-funded expansion in order to gain market share. There should be no expectation that it will remain this way after it has beaten soundly its competition and established itself.
I was in Budapest the other day Ubers there were about 50% the cost of local taxis, but the quality varied wildly. Some days I got a BMW driven by a guy in a suit, other days a beat up Lada with a grumpy old man who smelled. Local taxis were brand new with sharply dressed, English speaking drivers.