The third law is that a business needs an economic justification.
That is true, but I think a capitalistic economy with private property rights *could* develop, like this:
A few scientists and entrepreneurs explore and colonize Mars. As population grows, demand for other goods increases. A few people with the resources start trading and eventually open a branch or new business on Mars. This business wants property of it's own, which it takes. How did people get property when America was founded? Can't Martian settlers do the same thing? Basically as demand increases, and is met, it continues to exponetially increase over time.