[mapremap]

It does make sense. A smaller group will have a correspondingly smaller number of people who will end up needing treatment, so the expected value for an individual's cost doesn't actually depend on the number of people in the group, just the probability that any specific person will end up requiring treatment and the cost of the treatment. Maybe you are confused because you chose a specific example wherein the expected number of treatments required is less than one? Are you thinking that because it's not possible to have only a fraction of a person require treatment that we need to round up to 1 person? That's not how probability works and if you simply extend that logic to a group of a single person then your error should become immediately apparent. While it's true that only whole numbers of people can get sick, when you take repeated samples of small groups you will find that occasionally one group member will require treatment, but much more commonly than that, zero group members will require treatment. When you weight each case by its relative probability of occurring, then you get the same expected cost per person that you calculated for the large group.

Your lack of intuition about such a simple linear relationship should be extremely concerning to you. It suggests that you are approaching the question with an emotional attachment to a particular outcome that is blinding you to the extremely simple and intuitive correct answer.

There's a lot more to unpack here, but I don't have time to address it point by point. You are making a lot of assertions that seem much more reflective of left-wing ideology than actual conditions on the ground. You suggest that consumers demanding better is a solution to public systems that don't actually meet consumers needs, but the very nature of public goods ensures that no individual consumer will ever be in a position to make a demand that administrators will have to prioritize over competing demands from producers and public employees. The nature of democracy gives outsized influence public sector unions and interest groups that can then turn around and contribute a share of those benefits back to politicians campaigns. In contrast, a competitive market affords consumers to actually make demands with some weight behind them. A producer has to take a consumers demands into account lest that consumer simply take his business to a competing producer. The weight of the empirical evidence affirming this fundamental difference between public and private systems is completely overwhelming, and your resistance to the idea that capitalism is a far better system than socialism for the vast majority of goods suggests an emotional attachment to an ideology that has very intentionally been sold to the public in such a way as to make uncritical advocacy for that ideology very self-flattering to those very advocates.

I know that I didn't really address the middle part of your argument but let me assure you that those ideas are just as contrary to reality as any of the ideas that I chose to address. I might come back to those in a future post if I find myself with both the time and the inclination to do so.

[otikik]

> Maybe you are confused because you chose a specific example wherein the expected number of treatments required is less than one?

In my example 10 people out of 1000 required the treatment. If it's 100 people, then 1 will need it. You must have misread.

> Your lack of intuition about such a simple linear relationship should be extremely concerning to you

That's very condescending and a bit ironic. I think you should apologize.

> much more reflective of left-wing ideology

"Left" means different things in different places. In my country, a big chunk of the people on the "right" feel the same way you feel about the army, but about healthcare. Which is that some things like life-threatening problems are too important to let personal gain interfere. More on that in a second.

> actual conditions on the ground

I am writing this from the ground. My son just got treated by our public health system twice this week - the last one today. (His pediatrician was on strike today, actually. That is a bit inconvenient for us but it is fine. It's not life or death). My sister in law got diagnosed with cancer and got treatment for it. This is reality that I am telling you is happening right now. Not a theoretical thing that I am imagining might work on a communist country. It exists, and it works.

For the life-threatening cases at least. It is not perfect - there's sometimes long waiting lists for non-life-threatening ones. That is where private health plays a role. Those who don't want to wait, or want a private room in the hospital, can pay for it.

But if you are poor and you get cancer you don't necessarily die. Your family doesn't have to beg in gofundme for your treatment, nor they are left bankrupt. Which is absolutely a reality in the US.

> The nature of democracy gives outsized influence public sector unions and interest groups that can then turn around and contribute a share of those benefits back to politicians campaigns. In contrast, a competitive market affords consumers to actually make demands with some weight behind them.

I prefer referring to people as people. Or, citizens, in the context of a country.

Perhaps that is where our difference of opinion comes from. I don't see a country as a business. So naturally its people are not "consumers". Poor people may not be able to consume much, but they are still people.

On buying public administrators: in my country, lobbying consists in "having meetings with politicians". It does not mean "giving presents" or "contributing to campaigns". That is called bribing, and is against the law. Again, not a perfect system by any means. There's plenty of corruption, as well as other problems. One of them, and one of the places where I do agree with you, is that that interest groups (especially those sponsored by the extremely wealthy) still have much more levers to pull than the average person.

Where I differ with you is in how to fix this. You propose that "people vote with their wallet". The problem with that is that the money that consumers use to vote with their wallet eventually goes into the pockets of the ones funding the interest groups that eventually make laws against them. This is a problem both in my country and in the US. It gets worse with inequality, which is getting worse everywhere, but especially in the US.

My proposed solution is simply that there's other things besides the consumer-producer relationship. This doesn't necessarily imply a communist regime or an anarchist revolution. It just means Europe, man.

[mapremap]

Ok, I see where the problem is. The 10 people requiring the 100 treatment in your example will cost 1000. That's one dollar per person, not one tenth. For the group of 100, 1 person will require the 100 treatment and it is still 1 dollar per person. You very obviously made a mistake and I incorrectly assumed it was in your calculation of the costs for the second group. The underlying point is still the same though, and you should be concerned that such a simple relationship is not intuitive to you. I'm not going to apologize because I still feel that this is indicative of emotional reasoning on your part. If this sounds condescending then that's only because this is about as simple as math can possibly get and yet you still failed to recognize the glaring logical contradiction.

[otikik]

The cost of 100 is the cost of the whole treatment system. That includes doctors, nurses, medical equipment etc. For a capacity of around 10 cases.

But yeah, focus on purposely misinterpreting my arguments all you want. Have a nice day.

[mapremap]

If the cost is 100 for 10 cases, then it's going to be 10 for 1 case. Cost per person is still the same. You need fewer doctors, nurses, and medical devices to treat fewer people.