Cormac, This is Airbnb. You can ask the guest for his address.
You can ask and make a copy of his license/passport. You can ask that they sign an application and contract.
You have a right to do all these things.
Of course, it has a price. You may lose business. You are competing amongst other hosts who don't do this.
Against these competitors you may seem difficult to deal with.
I only ask for ID if they have not been verified on Airbnb or if they don't have a face picture.
Otherwise, I am tempting fate. I do enjoy a quick effortless sale. Demanding an address would complicate the booking process.
Fortunately, the Airbnb guest is 10 times better than a long-term traditional tenant. For swindlers in that lot, while I may have their address, that has never helped me when cheated.
If a host has a highly desirable and expensive apartment, I would ask for and verify an application. But for low end budget digs like mine, it doesn't seem worth it.