I don't believe that will particularly be an issue for at least another decade or two. At this point, they aren't really ventures aimed at turning a big profit or anything of that sort; they're done by people who are already rich to some degree or another as a sort of big-budget hobby. Profit only ensures they will be stable endeavors, rather than being the goal. As Elon Musk stated when asked about it: if he wanted to make big profits, he would go back into the tech or financial industry. Their primary goal is to lower to-orbit costs to enable humanity to become a space-faring race. That, of course, may change as the industry establishes itself, but for now at least it isn't an issue.
The other thing to keep in mind is it isn't a supply and demand thing. It's more along the lines of a threshold-based model. Space tourism has existed for years; it's merely been expensive and troublesome to the point where aside from novelty trips for a couple select individuals, it was all but impossible. Reduce that cost and suddenly an entire industry open up. Or consider asteroid mining. If it is not economical to send up craft for mining purposes, there won't be any craft sent up. Make it economical, and suddenly there will be an entire industry vying for a chunk of the available spaceflight capability. Only once the threshold of those economics are crossed will more standard supply and demand kick in.
Also, more Lynx has been added to the OP. And yes, that pun was in fact too good to pass up.