http://www.conservapedia.com/Randomocracy
Randomocracy is a theoretical form of government in which members of the government are chosen by random draft, instead of campaigning for office. It is based on Douglas Adams' famous comment that anyone who wants to wield power probably shouldn't be allowed to. It is similar to the system portrayed in "The Lottery in Babylon," by Jorge Luis Borges.
Positive aspects of Randomocracy
It will result in vastly greater representation among lower-class economic castes, as opposed to the current system, where everyone is represented by wealthy white male lawyers and bankers.
Possibly, legislation that is readable by humans will be passed.
Since nobody campaigns for office, the enormous expenditure of effort and money of political campaigns will be obsolete.
Common Criticisms of Randomocracy
With all legislators only serving a single term, accountability for bribery and corruption will be drastically reduced. With no need to campaign for reelection, legislators might accept bribes with both hands, since the primary pressure of accountability via ballots would be eliminated
Members of unpopular beliefs might be installed to office.
Me: not seein' any downside.