Some restaurants have been trying something new with the way they're compensated for feeding customers. Instead of presenting you with menus that could tempt you [1] to spend more than you intended, they're asking you to come up with the price yourself.
Once you've decided on what you think is a reasonable price for what you've consumed, you pay by placing money in a closed box [2] so nobody knows exactly what you've settled on as a fair price except for you. Obviously the owners of these pay-what-you-like joints are earning enough to stay in business, and I'm sure that some customers overpay while others take advantage and skimp on the "bill."
Source [3]