And who makes sure that the rules aren’t broken? Who makes sure the lottery wouldn’t be rigged? Your ‘solution’ is defenseless against corruption. It offers no mechanic to deal with the corrupt. The beauty of democracy and capitalism is that it allows for those who want more power, to achieve it within the system. By that, they will stay within the system and be subjected by the accountability it provides. If your solution allows absolutely no way to stack the cards in your favor, then it will be rejected by all who wish to, and it will crumble before long.