What would keep people in line is that this would be illegal. A lottery-based system is also problematic for lobbyists because they have to bribe many more peop

What would keep people in line is that this would be illegal. A lottery-based system is also problematic for lobbyists because they have to bribe many more people and they can't help elect the people they have already bribed. If they try to bribe the wrong person, they are in big trouble, because they will get investigated, and even if they succeed, they will have to do it all over again the next year (assuming yearly terms). It's also worth pointing out that a lot of what we call "corruption" is the result of politicians, CEOs and lobbyists going to the same schools, working in the same offices, and just generally being friends. They don't even need to bribe each other. They like each other. Lottery eliminates this aspect almost entirely. I would say the biggest vulnerability of lottery, with respect to bribery, is debt: if a representative owes a lot of money, they are particularly at risk. Which is why I think the state should pay off all debts owed by all representatives (conditional to not peddling their influence, of course). We can disqualify people who owe excessive amounts so that this doesn't cost too much.