A couple of links about how people sometimes think about the question.
People are less content if deals about sacred values involve money. They'd rather have a concession from the other side's sacred values.
Unfortunately, it's hard to see how this can apply to most health care questions, but here's a case where it can:
Less Wrong readers are familiar with the idea you can and should put a price on life. Unfortunately the Big Lie that you can't and shouldn't has big consequences in the current health care debate. Here's some articles on it:
Yvain's blog post here (HT: Vladimir Nesov).
Peter Singer's article on rationing health care here.
Wikipedia here.
Experts and policy makers who debate this issue here.
For those new to Less Wrong, here's the crux of Peter Singer's reasoning as to why you can put a price on life: