Well, probably not for such a broad description of "ungameable", but there is an entire research field dedicated to try and come up with such algorithms/systems

Well, probably not for such a broad description of "ungameable", but there is an entire research field dedicated to try and come up with such algorithms/systems: Mechanism design! https://en.wikipedia.org/wiki/Mechanism_design https://en.wikipedia.org/wiki/Mechanism_design