Imagine if instead of congress or parliament, a country elected it's representitives randomly from the set of people who put themselves up as candidates? It would statistically be representative of the population.

No more need to vote.

No more need for candidates to campaign.

No more representatives working to get re-elected instead of doing what they felt was the right thing.

No more political parties.

Fewer backroom deals.

This can be tweaked if you feel rich people are better people: You could allow candidates to buy additional draws, perhaps which each additional draw being more expensive than the last to moderate it somewhat.

Athens used to do this. It is called "sortition".

There is a Journal of Public Decision Making that has some really interesting ideas of how to make better countries. Of course, almost none of it is ever put to use, because current countries are captured by powerful special interest groups and insiders, who as the winners don't want anything to change that would risk their power. So these kinds of changes can only happen when a new form of government arises out of a revolution. And revolutions are less and less likely given how those in power are watching people closer and closer.