How to engineer the economic system, so that an individuals self interest leads to fulfilling collective interest
Well, there's mechanism design. We use game theory to study what people do and then reverse it and ask ourselfs what set of rules induce people to rationally choose to do what the mechanism designer wants them to do.

In an auction, we charge the second highest price to the winner, that's a Vickrey-Clark-Groves mechanism. In voting, one might want to apply the Goeree-Zhang mechanism, for example.