What means does anyone have to protect their own property except by force? And what does it mean when two parties have different ideas about the division of property (eg how much profit each partner keeps in a profitable venture, where property boundaries lie, etc)? What recourse does an individual have against fraud? This hypothetical freest of free markets is not free at all—whoever has the best guns simply takes everything. Even honest disputes can be resolved only by bloodshed.
Rules against fraud and force need to have an impartial arbiter, and that arbiter needs to have the means to enforce rulings as to the outcome of disputes. I don't see any other way unless you can suddenly guarantee some way for no one to ever let their self-interest override their morality. Even honest people develop blind spots when it comes to potential threats to livelihood.
I don't believe the existence of force negates freedom; rather, the freedom to use force when force is used against you is the only way to achieve freedom, as the man who initiates force for his own interest is always at the expense of another; neither does this man believe in freedom in himself, but more importantly, he does not believe in freedom in you. If society functions at its best when people are not taking from one another, but rather cooperating and competing fairly with one another, then it would be in our greatest interest to encourage freedom between people; to achieve freedom, we must be free ourselves, for only then do we instill freedom in others (and behold, the golden rule). However, there will always be those who either miss or refute this idea; once a person decides your freedom is not as valuable as their own, they negate both. For all rights are granted only between those who grant rights to others, he who initiates force is no longer free, not to himself, nor any others. At this point, to simply roll over and let what will would only lead to exactly what we already have, that being, those who do not grant freedom calling the shots as if they invented the concept. Therefore, to ensure a society's freedom, the society in question must identify those who would deny them of those freedoms, whether it be in the form of trespassing, robbery, or even organized government, and seek recourse for freedom lost; if it is the individual who was robbed (initiation of force), one would have to resort to force to make amends, if the robber does not willingly do so; if it is all of society who was robbed, so must society use force to make amends, if government does not willingly disappear. The reality is, we cannot escape force, for there are always those who do not believe you have the right to be free; we can only agree that initiating force is detrimental to us all, and focus violent measures against those violent.
Freedom goes two ways, when occurring in society; the person who wants to do something, and the people who will be affected by it. The free market does not mean, "Well Jack can assassinate Joe because he has all the freedom he wants," because that would likely be detrimental to Joe's health, something he doesn't want; what we should seek is to disburse freedom, I suppose you could say, from a completely omnipotent and centralized entity, and moreso into the hands of the individual. When it comes to property, it depends on what the society believes; if we believe the land we live on is ours, then so would we all agree not to take another person's land, which gets tricky because we would be taking it from government which took it from another society etc. etc... Plus, we would have to consider entering private property as initiation of force, which, as explained above, would be justly met with retaliation. And others believe all land should be openly available to anyone. To be frank, I have no idea how it would work, and what any specific society would consider an offense or not, for it would be different in different parts of the world. But anyway, so long as there are multiple arbitration businesses, as opposed to any nation's just one, we see a less likely chance of being subject to serve in a system which pretends to work for its people but, as we know, serves only its own best interests at a global scale.
Here's a little video of what this would look like, to have multiple law-creation firms under one roof:
https://www.youtube.com/watch?v=8kPyrq6SEL0 Because there is no coerced monopoly, not in security nor law, businesses which provide these services would be forced to serve their customers as best as possible
if they want to stay in business (I hope they do).