Here is an article from the Review of Austrian Economics from the economic point of view (Rothbard does not promote anarchy in this one, until the last sentence perhaps, but the main bulk of the article assumes a limited capitalist government) on How and How Not to Desocialize.
An interesting note, was that he recommends a tax of less than one percent would be sufficient to fund the limited functions of protection and justice as a transitional measure to non-taxation based funding.
Any Objectivist analysis on the Austrian prescription would be welcome. I always feel Objectivists have too long neglected critiquing libertarian economists in detail.
But I think you were asking as the the implications of egoist moral principles, so on that note, I disagree with the “auction off” method of selling off public property and governmental institutions to investors. As Ayn Rand noted in CUI/RotP, “The Cashing-In: The Student ‘Rebellion,’” public property should be thought of as expropriated property, and its morally legitimate owners are the tax-payers who fund it. By what right would the government expropriate something, then sell it off and keep the money itself? That would be inconsistent with the very moral purpose of private property in the first place.
Therefore it follows that all property titles which originally belonged to an owner or his heir should immediately be recognized as restored, such as land taken by eminent domain, etc.
But this doesn’t account for everything in the country obviously. If, in principle, each owns in accordance with his tax payments made, thus, a more consistent strategy of privatization in these cases would be to distribute shares of ownership to tax-paying members of the community in accordance with their amount of taxes paid and can prove they have made. Every public road, park, school, etc. was funded by taxpayers, hence, local taxpayers, in accordance with their tax payments, should be awarded local public property, and this would probably be the vast majority of public institutions. Some have paid more than others, therefore justice would demand they receive more shares than others, and net tax-consumers none at all. These shares would be tradable and transferable, so people would be able to keep them and run these functions themselves, or hire new management to run them and reap the profits or losses, or sell them to entrepreneurs who would then take over. This makes it sure that most of these organizations and institutions will be either put directly to productive use or sold off for that purpose, and if not, then the owners assume direct responsibility for them.
We should also obviously consider certain totally improper functions like “tax collector” or “department of XYZ regulator” not a subject of privatization, but abolition. It would also be inconsistent to follow some strategy like the one suggested of turning certain organizations over to their workers, staff, and/or management. These assets only exist because of the productive actions of individuals who are net tax-payers, rather than net tax-consumers, therefore there should not be anything like “turning the school over to the teachers and staff” or “turning the post office over to the postmaster general,” as well as automatically disqualifying civil-servants and welfare recipients from receiving any shares in ownership. However, there exists many roads and streets that governments own surrounding all our property. In this case, the only thing that can be done is immediately transferring ownership to those whose properties are on or adjacent to them.
Of course there are still complications involved in all of this, but if we are serious about a free society, these can be solved by accountants, lawyers, and arbitrators acting under objective law and through the court system.