Under a lottery system, every judge on the federal court of appeals is appointed as an associate justice of the Supreme Court. A bench of nine justices is chosen at random to serve for two weeks at a time, making it impossible to game the court’s composition to favor one party’s policies over another over a lengthy amount of time.
Additionally, these panels would not choose their own cases. Instead, they would hear cases chosen for them by a previous panel, and then choose cases for the next randomly-selected panel in turn.
“This approach prevents a conservative or liberal-majority panel from cherry-picking cases designed to advance their own agendas,” Sitaraman explained.
Finally, the researchers propose that overturning a federal statute should require a two-thirds, rather than simple, majority. This would prevent destabilizing the law, while giving appropriate deference to the democratic process.
when he's been throwing mud and attacking people for the last 25 years 
