"The Federal Aviation Administration, in a previously undisclosed late-December letter to Bigelow Aerospace, said the agency intends to "leverage the FAA's existing launch licensing authority to encourage private sector investments in space systems by ensuring that commercial activities can be conducted on a non-interference basis."
In other words, experts said, Bigelow could set up one of its proposed inflatable habitats on the moon, and expect to have exclusive rights to that territory - as well as related areas that might be tapped for mining, exploration and other activities."
This is being twisted. The FAA doesn't have the authority on who can claim what on the moon, they do have the authority to regulate and also encourage development of launch vehicles.