Demarchy ([ame=http://en.wikipedia.org/wiki/Demarchy]Demarchy - Wikipedia, the free encyclopedia[/ame]) is a system of governance by a randomly selected group of people. The term was coined by Australian philosopher John Burnheim in 1985. The system has been used by the ancient Athenians and the Amish. Basically, the idea is that people in charge would still represent the views of the population, but without the problems of corruption for political gain, the influence of lobbyists and special interests, career politicians, and voter ignorance and disinterest; people in charge would make decisions solely based on what they believe.
According to Rasmussen, 45% of American voters think that a group randomly selected from the phone book would do better than the current Congress, while 36% disagree.
Just read about this today. An interesting idea, though I'm not sure how well it would work out in practice.