The technical term is sortition. And it is my pet unorthodox political position. The legislature should be replaced with an assembly of citizens picked by lottery.
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You can decide to vote, in which case you're removed from the sortition candidate pool. If you don't vote you're in the pool. A common representative body is formed at respective percentages.
This basically makes it so politicians have to race against "some random schmuck". If they can convince people they can do better, nice. Otherwise... too bad.
Of course some people will vote just to get out of the pool, but I think that's fine too.