There's an old idea of fairness that when cutting a cake between two people one person cuts and the other picks the piece they want.
This method aligns the interests of both parties, no matter how corruptible and *human* they may be.
I think it's underappreciated how often the US government design has a similar method in its checks and balances: one group can reject an official, but they don't get to choose the replacement.
See, for example, impeachment proceedings.
After all: "This policy of supplying, by opposite and rival interests, the defect of better motives, might be traced through the whole system of human affairs, private as well as public."
--Hamilton (maybe)
So it's an advantage that becomes vanishingly small as the one doing the cutting follows their incentive to make the difference also vanishingly small.
And that's enough to make the solution practically, if not ideally, very useful.
@volkris Sure but its a physical impossibility that they can. Which means its always to the other persons advantage