The criticisms I find the strongest are those against the idea of current public services such as the police and the legal system become privately funded.
The Argument that the state is necessary as a neutral umpire as any privatised system may be biased and corrupt. If people were to fund a legal system this would lead to laws and regulations in favour of those who fund them. For instance, if only to rich funded the judges, magistrates etc then all laws and verdicts would fall in favour of the rich- so perhaps, there would be no benefit system.
Of course, communsits may reply to this by saying that everyone would work for the good of the community as a whole, and in a moneyless society there would be no segregation. Yet, instead, it may be that particular friendship groups or careers agree to fund it. So if it were mainly doctors, for example, supplying the legal system then it may be that it becomes in favour of minimising their work or allowing them the most freedom in their practice.
People could also reply that the current system, with a state, remains corrupt. The conservatives in power at the moment could be said to favour the middle class as they themselves are, in the majority, middle class- and therefore are cutting benefits etc. However, there still remains a certain amount of control by higher governing bodies which would stop this from getting out of hand.
The other argument is similar by stating that we need certainpublic goodsand theavoidance of public bads in areas where it perhaps isn’t clear who the resposibility shoudl lie with. So with the issues of global warming, who would be the one to determine what action to take and who would be the ones who funded such action without a state involved to administer taxes or make decisions?
Anarcho-capitalists may reply that such duty would become almost like charity in that the people within a society may feel an obligation to contribute to a certain cause despite it not being their responsibility yet this donation would remain voluntary; contrary to a tax system. Though this may still lead to corruption as those able to contribute more to certain funds may then believe that they have certain rights or priviledges above others, thus recreating a strict class divide and hierachial system.