Taleb talks about this (though he doesn't use the term Sortition) in Antifragile: "instead of having the rulers randomize the jobs of citizens, we should have citizens randomize the jobs of rulers, naming them by raffles and removing them at random as well. That is similar to simulated annealing—and it happens to be no less effective. It turned out that the ancients—again, those ancients!—were aware of it: the members of the Athenian assemblies were chosen by lot, a method meant to protect the system from degeneracy. Luckily, this effect has been investigated with modern political systems. In a computer simulation, Alessandro Pluchino and his colleagues showed how adding a certain number of randomly selected politicians to the process can improve the functioning of the parliamentary system."
Although I very much like the idea of sortition I found the paper by Pluchino et al. very flawed, the simulation they made captures none of the effects of sortition, and the effects they measure have no equivalent in the real world.
Just to get an idea, in their model politicians make many laws that help the population a little bit, instead the randomly selected citizen make make laws that help the population a lot, but they make only a few laws. And things have been defined in such a way that the optimal solution happens when mixing the two. They do a pretty good job at analyzing this simulation, the problem is that the simulation has little to do with the real world.
(I read the paper a few years ago so I hope I'm remembering things correctly).
