The 72 dealers and galleries chosen to exhibit at the Art Show must bring their A games. Hosted by the Art Dealers Association of America at the Park Avenue Armory in Manhattan, the show is subject to space limitations that do not allow all 180 members of the association to take a booth. Many in the 2015 show, which takes place March 4 through 8, earned places on the strength of their promised displays, ensuring that everybody—especially the ticket-holding public—wins.

New York’s Galerie St. Etienne will ce…