By the way, just want to inject this into this whole conversation:
It's the 'right price,' at the 'right time,' for the 'right people,' in the 'right place.' That's what constitutes the 'right price.' A centrally dictated price will ALWAYS miss the time and/or the people and/or the location, simply because different people value things differently depending on those variables, and the only way to pick the 'right price' is to let the people involved give it to you.
Let's say there's 10 teams of surgeons supplying a total of 50 transplants per year.
~100 wannabe patients provide the demand at any given time, and the remaining 50 people either wait again next year (with an inflow of another 50), or they eventually die.
There's competition as well as luck in the auctions. Not all patients are compatible with all the donor lungs. However, if you bid more, you're more likely to outbid someone else if you're both good for the same pair.
Let's say there's a price curve something like this, (just making up some numbers here) :
$100k: 1 to 3 months
$50k: 3 to 6 months
$25k: 6 months to 4 years
<$15k: lower limit, and donor lungs get thrown out unless compatible patients cough up more dough
Just like Bitcoin fees, there's no fixed 'price' just increasing delays if you offer less.
But unlike Bitcoin, the example takes on a moral dimension because people's lives are left up to market 'chance' and surgeon profitability. Being a free market, it turns out that "10 teams" is the sweet spot. When there were only 8 teams, prices and profits were higher, but this enticed 4 teams of dentists to retool to do lung transplants instead. But when there were 12 teams, prices got a bit low and 4 teams had to restructure, returning to a total of 10.
But how many surgeries were done? Who cares! 10 teams is the sweet spot, and they'll do whatever is profitable, even if it means throwing out most of the lungs to maintain scarcity in the market. It doesn't even have to be deliberate -- maybe $15k is the charitable limit?
So we've got a rough model of a 'free' market. What if a government intervenes? Why is that so wrong? If we've got a model for what happens 'naturally' (as above), and we find that by intervening we can reduce the annual death rate from say 25 down to 10, then why not? One problem I have with having faith in a free market is the
faith part. Why should a Libertarian leap-of-faith trump actual information gained from oversight? Perhaps there's some "information theory" insights we could gain here?
I think the answer is thus:
The only reason 12 teams is too high and 10 teams is the sweet spot is because 12 teams makes the lung transplant unprofitable, and 8 teams leaves room for more teams to take some of the profit. A government intervention could be to either reduce the prices, increase the number of teams, or force everyone, who doesn't need the procedure, to pay for it to.
In the first option, government forces the prices lower, meaning more patients can afford transplants, but now it's not profitable, so the number of surgeons will drop from 10 to, say, 8. Now even though more patients can afford the procedure, only 40 of them are done each year.
In the second option, the government could force more teams to do the procedure. But, as you said, if there were 12 teams, the prices got too low, so now even though 12 teams are forced to do the procedure, none of the 12 can really afford it. They will either have to force the prices to go up, reducing the number of patients that can afford it, or just quit entirely.
In the third option, you'll have 20 teams working, doing 100 procedures a year. All patients will be happy, and all doctors will be happy. Hopefully, the economy will continue to have enough profits for government to siphon them off to keep this setup going. But the two problems are, first, there's a real risk that the economy could get to a point where there isn't enough spare profit to support this, and second, everyone will be happy, and nothing will change. You'll have the same lung procedure done by the same people for decades, since there will be no incentive to either make the procedure cheaper, or to replace it with something different.
The only "faith" that a free market requires is that, if things are uncomfortable, someone will try to figure out how to make them more comfortable in hopes of reaping rewards for it. That's pretty much the gist of free market progress.