IMO every economic system is unfair until we eliminate every single factor that goes into a purchase EXCEPT: 1) price, 2) quality.
Eliminating things like brand names, location, advertising, etc isn't exactly possible. Also we'd need to figure out a way to quantify quality. So, two impossibilities right there.
Thus, no system's perfect.
I think that you all have a very, very strange definition of what it means for something to be free.
Sure we know what that means? Free means you don't have to pay for anything!
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No really, we're talking "free" as in "freedom." Regulations are, by definition, limiters of freedom. Thus any regulatory action would keep the market from being a "true" free market (also any attempt to control the market (on the part of corporations/etc) keeps it from being "free" as well, but that's beside the point).
As such, terms like "free market" suck. No market is or ever will be truly free. You can certainly call markets "free" in certain aspects, however. Free from X regulation or free from Y attempt of control. It's much more realistic to debate the values of specific regulations than claim that they're intrinsically bad or that any particular "ideal" is possible.