Davenport's unique marketing initiatives have helped to bring attention to his Broadway and Off-Broadway productions. In 2007, his Off-Broadway show "My First Time" had a "Virgins get in free" promotion, during which audience members who were determined to be "virgins" by a psychic received a free ticket to the show. In 2012, Davenport instated the first ever "Tweet Seats" for a Broadway show during his production of "Godspell". During a specially designated performance, 15 of the show's biggest fans received free tickets specifically so they could share their experience during the show on Twitter and promote it on social media.