Medicare in particular is famous/notorious for low administrative overhead. Not sure how other social services perform
Unfortunately Medicare runs headlong into the other point the comment above was making: Medicare forces you to spend a very large income grant on a very particular category of consumer good. And that effectively forces huge spending on healthcare when society would be better off if they could spend it on other things.
In the states. Really.
This is true.
>The rationing, measuring and paying is really very expensive to administer.
This is not.
We have written legislation that prevents us from negotiating for healthcare goods and services; we protect US doctors from foreign competition and allow the profession to artificially constrain the supply. We also prevent Americans from importing drugs, or buying into other countries' health care systems - also shielding the domestic market from competition. Also, patents and reformulations.
Administration is actually a very small overhead. Rent-seeking is the problem.
"We have 17 million uninsured americans in this country!" (or whatever the number was. Well... just expand medicaid eligibility (or even allow people to pay for medicaid coverage on their own, regardless of pre-existing conditions). Problem solved (or solved a lot more broadly than this force-everyone-to-buy-private-insurance-and-make-the-insurance-companies-change-their-underwriting-practices).
It wasn't because a political concern was to get something that could pass without beign scuttled by pushback from the industry and resistance Congressional Republicans and even from conservative Democrats that met and scuttled Clinton's reform efforts (why Clinton didn't seek a simple single-payer solution is another question), and so pretty much all the proposals from the major Democratic candidates in 2008 were variations on the mandatory/subsidized insurance purchase idea that had been being pushed by the insurance industry since, IIRC, the early 00's, and had been frequently floated in Republican circles -- including being a signature accomplish for Mitt Romney in Massachussettes.)
Well, several decades ago it did, before the shift to encourage purchase of private managed care plans with government subsidies through what (after several name changes) is now called "Medicare Advantage".
Medicare now is more like the ACA model plus a public option than it is like single-payer.