A hat includes an elasticized band that extends around the periphery of the hat's crown to retain the hat on the head of a wearer. The elasticity of the band in a longitudinal direction is not uniform across its width. Instead the elasticity is greater in one region proximate one edge of the band than it is in a second region proximate the opposite edge of the band. The band is comfortable for the wearer because it grips the wearer's head less tightly in the second region than in the first region. At the same time, the entire width of the band contributes to retaining the hat on wearer's head. The band can also be used to retain other garments on a wearer.