A Alice Band (headband) is a band of material often a piece of ribbon or velvet worn across the head to keep your hair out of your face. “It is named after the hair band worn by the heroine of Lewis Carroll’s book Through the looking Glass (1872).” Alice bands have been popular since the end of the 19th century.
Source: The Thames Dictionary of Fashion and Fashion Designers
Nasir Mazhar a headwear designer made the Deely Booper for the opening ceremony at the Olympics. This looks a little to out there for me, but I am sure it will sell.