Can I just not pay this ticket?

I received a parking ticket on a college campus. The ticket is in no way affiliated with the police department, the city, or the DMV. The ticket was given out by a student who had been hired by the college campus's parking center. He has no legal training or background, other than the training provided by the college. I asked the school about fighting the ticket, but because the ticket was given by the college and not a city official, the only way I can protest it is to make a written request to the parking center to overturn the ticket. There is no intermediary who decides if the ticket was fair. The person who decides if the ticket is valid is the same person who collects the money. I've asked around, and I've been told that the parking services never overturns a ticket, no matter what the circumstances are.

Here's my question: What are the consequences of not paying a ticket issued by a private institution that has no affiliation with the state police or DMV? It seems that I will have no way of defending myself fairly against the ticket since there's no legal system in place on the campus to defend people from unwarranted tickets, but because there's no legal grounds in place, I really just want to forget about it and not pay it. Does anyone have experience with this? What's the worst thing the college can do if I refuse to pay it?