Corruption isn't a bug in the current system. It follows from the system's founding mistake: the belief that people can make law. Once anyone can change the definition of right and wrong by passing legislation, that power becomes the most valuable thing in the world, and it will always be bought and sold. (Why Natural Law Is the Only Law.)
No majority has the authority to make law, because no individual in it has that authority, and zero plus zero is still zero. (The consensus objection.) The government's job is to uphold the Law, not to create it. (Title 4.)
So instead of electing distant strangers, the Blueprint builds government from the bottom up. Land-Based Sequential Delegation starts with a village council of people you know personally, and each council sends one member to the level above it. The Republic of the Earth makes no law at all. Its force-wielding branch may do nothing but uphold the Law, and its improving branch may use nothing but consent.
The Law also gives everyone the Right to Transparency: to be fully informed of the actions of anyone whose actions are likely to affect you. And no one can hide behind an office, a uniform, or an organization. Every act is performed by a person, and that person is accountable for it. (How do you know this won't lead to tyranny?)