As another said, this is due to lobbying, but that doesn't change the fact that the markets are different.
Most individuals selling a used car, especially wealthier ones, aren't too interested in getting the most money from it, but just want it gone to move on with their lives. Not so with dealers, if they can't get you to pay a huge margin over what they bought it for (a price you could also buy one for) they'll wait for another buyer.
I'm not fundamentally opposed to buying used cars from a dealer, but when I've researched fair market prices, I've usually not been able to talk them down to anywhere close to them... whereas I've had many times where private sellers took an incredibly low ball offer I wasn't really expecting them to take.