Run cheaper than what? Was Medicare ever run by a myriad of companies duplicating administrative efforts that required doctors comply with a complex and inconsistent patchwork of coverage and paperwork? No, of course not. Private insurance companies would never take on a pool of only high risk, guaranteed high claims people. Which is why the government got stuck with it - nobody else would cover old people at a price they could afford. And that is also why there should be a single payer system for the entire country requiring healthy people to participate. The high risk people can't be covered at a reasonable price without the gigantic pool of low risk people paying in to balance the costs. Duh.
