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I remember reading somewhere that in China, there was a system whereby a doctor was paid, but only as long as the patient was healthy. This may have been only for emperors, though.
Incentives are REALLY hard to get right.
I wonder how bad the US health care system would be, if there were a robust system of alternatives to regular care? In other words, if the American Medical Association had not been able to act the way it acts currently - basically a giant corrupt union supported by the government, that kills all potential competition?