I would be interested to see a true market price on a park ticket on New Year's Eve.It is proven that supply and demand affect price in luxury good models. Not really even a question. Price will affect demand for the park at some point. They just have to find it.
To make that work, you still have to somehow limit the amount of ticket you're willing to sell. If you do market pricing with 50,000 tickets, the market price will be different than market pricing with 25,000 tickets.