If a bad actor tries to manipulate the BitUSD market by dumping on the bitUSD market way below the value of the actual value of the dollar. Then there is an economic incentive for someone to scoop up those cheap bitUSDs, and profit from the inevitable price swing that will incur when the honest actors come in and bring the bitUSD market back it equilibrium with the actual value of the US dollar. The opposite incentive is there if someone tries to pump the value of bitUSD greater than the actual value of a dollar.

As soon as market depth is established, a certain amount of volume is achieved, and skepticism bitassets will work dies down, bitUSD should very closely resemble the value of the US dollar.