there is competition in Canada amongst Dr’s, nurses, and suppliers.Doctors in Canda still get paid. Make a hundred thousand or more, depending on field, yearly. So do hospitals and nurses, and suppliers. they negotiate and use a formual to set prices. It's not a mystery.
Universities compete heavily with one another.And profit isn't the only incentive. A good number of the break throughs in medicine are done at state univeristies, with state money. I believe you're premise is flawed. People don't stop solving problems just because they are paid by the government.
You said nobody competes.Who said there is NO profit? That too would be a flawed premise. No one I know of suggests no profit for anyone.
I asked how pricing works if we aren’t competing for profits. In your simplistic unicorn and sunshine world, you might not see the direct correlation, but it does exist.
Health care is a huge industry.
I’ll list a few players, and you get to tell me which ones are free to compete, and which ones are indentured to the state.