"There are hard questions about how exactly to structure a political system with lottery-selection at its heart. Here’s one approach, which I am in the process of developing, that I call lottocracy. The basic components are straightforward. First, rather than having a single, generalist legislature such as the United States Congress, the legislative function would be fulfilled by many different single-issue legislatures (each one focusing on, for example, just agriculture or health care)."
It's the same concept as legislative service except randomly selected people serve a single issue for three years rather than just voting on a single bill. I think the advantage is clearly that you get to build up a greater depth of knowledge if you're spending three years learning about health care. The disadvantage is that the number of people willing to give three years of their life is going to be much lower than just asking for the few weeks or months that legislative service would require.