Actually, single-payer modeled after Medicare and the add-on plans is a good solution. The government-sponsored plan would cover just enough to provide preventive care and cover unexpected illnesses. Bare-bones and as cheap as possible. Every last person in the country would get this. People who wanted a higher level of service could buy a supplemental plan that meets their needs. This would ensure that everyone received coverage, and the existing insurance companies still had a product to sell.