When I say 'single payer' (or payor as an en_UK spelling might prescribe) I mean a system with the following features:
* Everyone is covered by one pool
* The pool is funded externally
* absolutely no incentive to defer detection
* absolutely no incentive to defer treatment
* absolutely no incentive to defer care
* because everyone will be covered by the same system in the future.
* Competition can still occur as far as offering services /to/ the pool.
Compensation for services will probably be some form of rate per area determined by an auction/bid system in advance.