Okay then lets make a list of countries closest in population to the United States and to be fair let's only use the 27 high-income OECD countries. (All the following data comes from The World Health Report 2000)
Country | % of World | US/% of World
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United States 4.52 1
Japan 1.90 2.4
Germany 1.22 3.7
France 0.97 4.7
United Kingdom 0.92 4.9
Now let's sort by overall healthcare performance
Country | Performance | Cost Per Capita
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France 1 4
Japan 10 13
United Kingdom 18 26
Germany 25 3
United States 37 1
Since you were interested in cost let's sort by Performance / Cost Per Capita. It's just a better metric.
Country | P/C
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France 0.25
United Kingdom 0.69
Japan 0.76
Germany 8.33
United States 37.0
And now let's scale this to the population. ((P/C) (US/% of World)) and let's also reveal what system of healthcare each country uses.
Country | (P/C) (US/% of World) | System of Healthcare
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France 0.6 Single-payer
Japan 1.8 Single-payer
United Kingdom 3.4 Single-payer
Germany 30.8 Compulsory National Insurance
United States 37.0 Voluntary Private Insurance
So as we can see single-payer is clearly more affordable and has better performance than either CNI or VPI systems of healthcare. And I have a hunch that if this sample had included even more countries that there would be a trend that Compulsory Private Insurance (like we have where I live in Mass.) would be better than VPI but still not as good as CNI.