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Yes tort reform has to be at the core of any single payer system... after all it is not surprising that many doctors charge what they do to cover exorbitant malpractice insurance costs. A small hospital in my area shut down its OB/GYN department after the three doctors there decided they could no longer afford to practice profitably.
Limits on recoveries would be a good start.
In FL (as it may be elsewhere.. it don't know) there's a cap on what you can recover if you sue the State. Anything additional has to be approved by the legislature. I think that would be a good place to start. The lawyers won't like it but... nobody really cares. LOL